{"id":78166,"date":"2026-02-26T12:41:49","date_gmt":"2026-02-26T04:41:49","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/78166.html"},"modified":"2026-02-26T12:41:49","modified_gmt":"2026-02-26T04:41:49","slug":"figo%e3%80%8a%e9%87%8f%e5%ad%90%e5%87%a0%e4%bd%95%e5%ad%a6%ef%bc%9a%e4%bb%8e%e5%b8%8c%e5%b0%94%e4%bc%af%e7%89%b9%e7%a9%ba%e9%97%b4%e5%88%b0%e5%85%a8%e6%81%af%e6%97%b6%e7%a9%ba%e7%9a%84%e7%bb%9f","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/78166.html","title":{"rendered":"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784"},"content":{"rendered":"<h2>\u300a\u91cf\u5b50\u51e0\u4f55\u5b66&#xff1a;\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03&#xff09;<\/h2>\n<p>\u4f5c\u8005&#xff1a;Figo Cheung &#xff06; Figo AI team<\/p>\n<h3>\u7b2c\u4e09\u7f16&#xff1a;\u7269\u7406\u7406\u8bba\u7bc7\u2014\u2014\u91cf\u5b50\u51e0\u4f55\u5b66\u7684\u5e94\u7528\u4f53\u7cfb<\/h3>\n<h3>\u7b2c\u4e03\u7ae0 \u6d4b\u91cf\u8fc7\u7a0b&#xff1a;\u52a8\u6001\u51e0\u4f55\u7684\u574d\u7f29\u53d8\u6362<\/h3>\n<h4>7.1 \u6d4b\u91cf\u95ee\u9898\u7684\u51e0\u4f55\u91cd\u6784<\/h4>\n<h5>7.1.1 \u6d4b\u91cf\u7b97\u7b26\u7684\u51e0\u4f55\u4f5c\u7528&#xff1a;\u6295\u5f71\u4e0e\u53d8\u6362<\/h5>\n<p>\u91cf\u5b50\u6d4b\u91cf\u95ee\u9898\u81ea\u91cf\u5b50\u529b\u5b66\u8bde\u751f\u4ee5\u6765\u4e00\u76f4\u56f0\u6270\u7740\u7269\u7406\u5b66\u5bb6\u548c\u54f2\u5b66\u5bb6&#xff0c;\u4ece\u51e0\u4f55\u5b66\u89d2\u5ea6\u91cd\u6784\u6d4b\u91cf\u8fc7\u7a0b&#xff0c;\u4e3a\u8fd9\u4e00\u767e\u5e74\u96be\u9898\u63d0\u4f9b\u4e86\u5168\u65b0\u7684\u89e3\u51b3\u8def\u5f84\u3002\u6b63\u5982\u300a\u5468\u6613\u300b\u6240\u8a00&#xff1a;\u201c\u4ef0\u4ee5\u89c2\u4e8e\u5929\u6587&#xff0c;\u4fef\u4ee5\u5bdf\u4e8e\u5730\u7406\u201d&#xff0c;\u6d4b\u91cf\u6b63\u662f\u8fd9\u79cd&#034;\u89c2&#034;\u4e0e&#034;\u5bdf&#034;\u7684\u51e0\u4f55\u8fc7\u7a0b\u3002<br \/>\n\u6d4b\u91cf\u7b97\u7b26\u7684\u51e0\u4f55\u672c\u8d28&#xff1a;<br \/>\n\u6d4b\u91cf\u7b97\u7b26<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{Mm}\\\\{M_m\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>\u7684\u51e0\u4f55\u4f5c\u7528\u53ef\u4ee5\u4ece\u591a\u4e2a\u5c42\u9762\u7406\u89e3\u3002\u9996\u5148&#xff0c;\u6d4b\u91cf\u7b97\u7b26\u672c\u8d28\u4e0a\u662f\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u4e2d\u7684\u51e0\u4f55\u53d8\u6362\u7b97\u7b26&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Mm:H\u2192HM_m: \\\\mathcal{H} \\\\rightarrow \\\\mathcal{H}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0097em\">H<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0097em\">H<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u8fd9\u79cd\u53d8\u6362\u5177\u6709\u7279\u6b8a\u7684\u51e0\u4f55\u6027\u8d28&#xff1a;<\/p>\n<ul>\n<li>\u6295\u5f71\u6027\u8d28&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Pm&#061;Mm\u2020MmP_m &#061; M_m^\\\\dagger M_m<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0961em;vertical-align: -0.247em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2020<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u6295\u5f71\u7b97\u7b26<\/li>\n<li>\u5b8c\u5907\u6027&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2211mMm\u2020Mm&#061;I\\\\sum_m M_m^\\\\dagger M_m &#061; I<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.1488em;vertical-align: -0.2997em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0017em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8491em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2020<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.109em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><\/span><\/span><\/span><\/span>\u4fdd\u8bc1\u51e0\u4f55\u8986\u76d6<\/li>\n<li>\u6b63\u4ea4\u6027&#xff1a;\u4e0d\u540c\u6d4b\u91cf\u7ed3\u679c\u7684\u51e0\u4f55\u65b9\u5411\u76f8\u4e92\u6b63\u4ea4<br \/>\n\u6d4b\u91cf\u7b97\u7b26\u7684\u51e0\u4f55\u610f\u4e49\u5728\u4e8e\u5b83\u5b9a\u4e49\u4e86\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u4e2d\u7684\u4e00\u7ec4&#034;\u6d4b\u91cf\u65b9\u5411&#034;&#xff0c;\u6bcf\u4e2a\u65b9\u5411\u5bf9\u5e94\u4e00\u4e2a\u53ef\u80fd\u7684\u6d4b\u91cf\u7ed3\u679c\u3002<br \/>\n\u6295\u5f71\u6d4b\u91cf\u7684\u51e0\u4f55\u673a\u5236&#xff1a;<br \/>\n\u6295\u5f71\u6d4b\u91cf<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Pm&#061;\u2223m\u27e9\u27e8m\u2223P_m &#061; |m\\\\rangle\\\\langle m|<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span>\u7684\u51e0\u4f55\u673a\u5236\u6700\u4e3a\u76f4\u89c2&#xff1a;<\/li>\n<li>\u51e0\u4f55\u6295\u5f71&#xff1a;\u5c06\u4efb\u610f\u6001<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8\u27e9|\\\\psi\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span>\u6295\u5f71\u5230<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223m\u27e9|m\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span>\u65b9\u5411<\/li>\n<li>\u957f\u5ea6\u6536\u7f29&#xff1a;\u6295\u5f71\u540e\u957f\u5ea6\u53d8\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u27e8m\u2223\u03c8\u27e9\u2223|\\\\langle m|\\\\psi\\\\rangle|<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u65b9\u5411\u9009\u62e9&#xff1a;\u4ece\u8fde\u7eed\u7684\u51e0\u4f55\u65b9\u5411\u4e2d\u9009\u62e9\u79bb\u6563\u7684\u6d4b\u91cf\u65b9\u5411<br \/>\n\u6295\u5f71\u8fc7\u7a0b\u7684\u51e0\u4f55\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8\u27e9\u2192PmPm\u2223\u03c8\u27e9\u2225Pm\u2223\u03c8\u27e9\u2225&#061;\u27e8m\u2223\u03c8\u27e9\u2223\u27e8m\u2223\u03c8\u27e9\u2223\u2223m\u27e9|\\\\psi\\\\rangle \\\\xrightarrow{P_m} \\\\frac{P_m|\\\\psi\\\\rangle}{\\\\|P_m|\\\\psi\\\\rangle\\\\|} &#061; \\\\frac{\\\\langle m|\\\\psi\\\\rangle}{|\\\\langle m|\\\\psi\\\\rangle|}|m\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3503em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel x-arrow\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1003em\"><span class=\"\" style=\"top: -3.322em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight x-arrow-pad\"><span class=\"mord mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em\"><span class=\"\" style=\"top: -2.357em;margin-left: -0.1389em;margin-right: 0.0714em\"><span class=\"pstrut\" style=\"height: 2.5em\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"svg-align\" style=\"top: -2.689em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"hide-tail\" style=\"height: 0.522em;min-width: 1.469em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.011em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.363em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.427em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2225<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord\">\u2225<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">P<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.363em;vertical-align: -0.936em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.427em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.936em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\nPOVM\u7684\u51e0\u4f55\u63a8\u5e7f&#xff1a;<br \/>\n\u6b63\u7b97\u7b26\u503c\u6d4b\u5ea6&#xff08;POVM&#xff09;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{Em}\\\\{E_m\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">}<\/span><\/span><\/span><\/span><\/span>\u63a8\u5e7f\u4e86\u6295\u5f71\u6d4b\u91cf\u7684\u51e0\u4f55\u6982\u5ff5&#xff1a;<\/li>\n<li>\u975e\u6b63\u4ea4\u6295\u5f71&#xff1a;\u5141\u8bb8\u975e\u6b63\u4ea4\u7684\u6d4b\u91cf\u65b9\u5411<\/li>\n<li>\u4fe1\u606f\u5b8c\u5907&#xff1a;\u63d0\u4f9b\u66f4\u4e30\u5bcc\u7684\u51e0\u4f55\u4fe1\u606f<\/li>\n<li>\u4f18\u5316\u6d4b\u91cf&#xff1a;\u5728\u7279\u5b9a\u51e0\u4f55\u7ea6\u675f\u4e0b\u7684\u6700\u4f18\u6d4b\u91cf<br \/>\nPOVM\u7684\u51e0\u4f55\u89e3\u91ca&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Em&#061;\u2211i\u03bbi(m)\u2223ei(m)\u27e9\u27e8ei(m)\u2223E_m &#061; \\\\sum_i \\\\lambda_i^{(m)} |e_i^{(m)}\\\\rangle\\\\langle e_i^{(m)}|<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0576em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3277em;vertical-align: -1.2777em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{\u2223ei(m)\u27e9}\\\\{|e_i^{(m)}\\\\rangle\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3217em;vertical-align: -0.2769em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9}<\/span><\/span><\/span><\/span><\/span>\u4e3a\u51e0\u4f55\u7279\u5f81\u5411\u91cf&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03bbi(m)\\\\lambda_i^{(m)}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.3217em;vertical-align: -0.2769em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.0448em\"><span class=\"\" style=\"top: -2.4231em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"\" style=\"top: -3.2198em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2769em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u5bf9\u5e94\u7684\u51e0\u4f55\u6743\u91cd\u3002<\/li>\n<\/ul>\n<h5>7.1.2 \u6ce2\u51fd\u6570\u574d\u7f29\u7684\u51e0\u4f55\u63cf\u8ff0&#xff1a;\u6295\u5f71\u6620\u5c04<\/h5>\n<p>\u6ce2\u51fd\u6570\u574d\u7f29\u662f\u91cf\u5b50\u6d4b\u91cf\u4e2d\u6700\u795e\u79d8\u7684\u73b0\u8c61&#xff0c;\u4ece\u51e0\u4f55\u5b66\u89d2\u5ea6\u770b&#xff0c;\u574d\u7f29\u8fc7\u7a0b\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u51e0\u4f55\u6295\u5f71\u6620\u5c04\u3002\u6b63\u5982\u300a\u9053\u5fb7\u7ecf\u300b\u6240\u8a00&#xff1a;\u201c\u9053\u751f\u4e00&#xff0c;\u4e00\u751f\u4e8c&#xff0c;\u4e8c\u751f\u4e09&#xff0c;\u4e09\u751f\u4e07\u7269\u201d&#xff0c;\u574d\u7f29\u6b63\u662f\u8fd9\u79cd&#034;\u751f&#034;\u7684\u51e0\u4f55\u8868\u73b0\u3002<br \/>\n\u574d\u7f29\u7684\u51e0\u4f55\u6295\u5f71\u673a\u5236&#xff1a;<br \/>\n\u6ce2\u51fd\u6570\u574d\u7f29&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8\u27e9\u2192\u2223m\u27e9|\\\\psi\\\\rangle \\\\rightarrow |m\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5728\u51e0\u4f55\u4e0a\u53ef\u4ee5\u7406\u89e3\u4e3a&#xff1a;<\/p>\n<ul>\n<li>\u8d85\u5e73\u9762\u5230\u70b9\u7684\u6295\u5f71&#xff1a;\u4ece\u9ad8\u7ef4\u8d85\u5e73\u9762\u6295\u5f71\u5230\u7279\u5b9a\u70b9<\/li>\n<li>\u8fde\u7eed\u5230\u79bb\u6563\u7684\u8dc3\u8fc1&#xff1a;\u4ece\u8fde\u7eed\u51e0\u4f55\u6001\u8dc3\u8fc1\u5230\u79bb\u6563\u51e0\u4f55\u70b9<\/li>\n<li>\u6982\u7387\u5230\u73b0\u5b9e\u7684\u8f6c\u6362&#xff1a;\u4ece\u6982\u7387\u51e0\u4f55\u8f6c\u6362\u4e3a\u73b0\u5b9e\u51e0\u4f55<br \/>\n\u574d\u7f29\u8fc7\u7a0b\u7684\u51e0\u4f55\u7279\u5f81&#xff1a;<\/li>\n<li>\u4e0d\u53ef\u9006\u6027&#xff1a;\u51e0\u4f55\u6295\u5f71\u7684\u4e0d\u53ef\u9006\u6027<\/li>\n<li>\u6982\u7387\u6027&#xff1a;\u6295\u5f71\u7ed3\u679c\u7684\u6982\u7387\u5206\u5e03<\/li>\n<li>\u4e0a\u4e0b\u6587\u4f9d\u8d56&#xff1a;\u4f9d\u8d56\u4e8e\u6d4b\u91cf\u57fa\u7684\u51e0\u4f55\u9009\u62e9<br \/>\n\u51e0\u4f55\u574d\u7f29\u7684\u6570\u5b66\u8868\u8ff0&#xff1a;<br \/>\n\u51e0\u4f55\u574d\u7f29\u53ef\u4ee5\u8868\u8ff0\u4e3a\u6620\u5c04&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">C:S\u00d7B\u2192S\\\\mathcal{C}: \\\\mathcal{S} \\\\times \\\\mathcal{B} \\\\rightarrow \\\\mathcal{S}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0583em\">C<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.075em\">S<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0304em\">B<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.075em\">S<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">S\\\\mathcal{S}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.075em\">S<\/span><\/span><\/span><\/span><\/span>\u4e3a\u6001\u7a7a\u95f4&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">B\\\\mathcal{B}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0304em\">B<\/span><\/span><\/span><\/span><\/span>\u4e3a\u6d4b\u91cf\u57fa\u96c6\u5408\u3002<br \/>\n\u574d\u7f29\u6620\u5c04\u7684\u51e0\u4f55\u6027\u8d28&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">C(\u2223\u03c8\u27e9,{\u2223m\u27e9})&#061;\u2223m\u27e9with\u00a0probabilitypm&#061;\u2223\u27e8m\u2223\u03c8\u27e9\u22232\\\\mathcal{C}(|\\\\psi\\\\rangle, \\\\{|m\\\\rangle\\\\}) &#061; |m\\\\rangle \\\\quad \\\\text{with probability} \\\\quad p_m &#061; |\\\\langle m|\\\\psi\\\\rangle|^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0583em\">C<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9})<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mord text\"><span class=\"mord\">with\u00a0probability<\/span><\/span><span class=\"mspace\" style=\"margin-right: 1em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u574d\u7f29\u7684\u51e0\u4f55\u8fde\u7eed\u6027\u95ee\u9898&#xff1a;<br \/>\n\u574d\u7f29\u8fc7\u7a0b\u7684\u51e0\u4f55\u8fde\u7eed\u6027\u662f\u6d4b\u91cf\u95ee\u9898\u7684\u6838\u5fc3&#xff1a;<\/li>\n<li>\u77ac\u65f6\u6027&#xff1a;\u574d\u7f29\u4f3c\u4e4e\u77ac\u65f6\u5b8c\u6210<\/li>\n<li>\u975e\u5c40\u57df\u6027&#xff1a;\u7ea0\u7f20\u6001\u7684\u574d\u7f29\u4f53\u73b0\u975e\u5c40\u57df\u6027<\/li>\n<li>\u6d4b\u91cf\u9009\u62e9&#xff1a;\u574d\u7f29\u7ed3\u679c\u4f9d\u8d56\u4e8e\u6d4b\u91cf\u9009\u62e9<br \/>\n\u51e0\u4f55\u8fde\u7eed\u6027\u7684\u53ef\u80fd\u89e3\u51b3\u65b9\u6848&#xff1a;<\/li>\n<li>\u8fde\u7eed\u574d\u7f29\u6a21\u578b&#xff1a;\u574d\u7f29\u662f\u8fde\u7eed\u7684\u51e0\u4f55\u8fc7\u7a0b<\/li>\n<li>\u6709\u6548\u7406\u8bba&#xff1a;\u574d\u7f29\u662f\u6709\u6548\u7406\u8bba\u7684\u8fd1\u4f3c\u63cf\u8ff0<\/li>\n<li>\u591a\u4e16\u754c\u89e3\u91ca&#xff1a;\u6240\u6709\u51e0\u4f55\u5206\u652f\u90fd\u5b58\u5728<\/li>\n<\/ul>\n<h5>7.1.3 \u6982\u7387\u8be0\u91ca\u7684\u51e0\u4f55\u610f\u4e49&#xff1a;\u957f\u5ea6\u5e73\u65b9<\/h5>\n<p>\u91cf\u5b50\u6982\u7387\u7684\u51e0\u4f55\u8be0\u91ca\u662f\u7406\u89e3\u6d4b\u91cf\u8fc7\u7a0b\u7684\u5173\u952e\u3002\u4ece\u51e0\u4f55\u5b66\u89d2\u5ea6\u770b&#xff0c;\u6982\u7387\u672c\u8d28\u4e0a\u662f\u51e0\u4f55\u957f\u5ea6\u7684\u5e73\u65b9&#xff08;\u8fd9\u91cc\u7684\u6982\u7387\u53ef\u8fd1\u4f3c\u7406\u89e3\u4e3a\u7ed3\u6784\u7684\u4e0d\u786e\u5b9a\u6027&#xff09;\u3002\u6b63\u5982\u300a\u58a8\u7ecf\u300b\u6240\u8a00&#xff1a;\u201c\u7aef&#xff0c;\u4f53\u4e4b\u65e0\u539a\u800c\u6700\u524d\u8005\u4e5f\u201d&#xff0c;\u6982\u7387\u6b63\u662f\u5b9a\u4e49\u51e0\u4f55&#034;\u7aef\u70b9&#034;\u7684\u5ea6\u91cf\u5de5\u5177\u3002<br \/>\n\u73bb\u6069\u5b9a\u5219\u7684\u51e0\u4f55\u610f\u4e49&#xff1a;<br \/>\n\u73bb\u6069\u5b9a\u5219&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">pm&#061;\u2223\u27e8m\u2223\u03c8\u27e9\u22232p_m &#061; |\\\\langle m|\\\\psi\\\\rangle|^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1141em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5177\u6709\u6df1\u523b\u7684\u51e0\u4f55\u610f\u4e49&#xff1a;<\/p>\n<ul>\n<li>\u6295\u5f71\u957f\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u27e8m\u2223\u03c8\u27e9\u2223|\\\\langle m|\\\\psi\\\\rangle|<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span>\u662f<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8\u27e9|\\\\psi\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span>\u5728<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223m\u27e9|m\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span>\u65b9\u5411\u7684\u6295\u5f71\u957f\u5ea6<\/li>\n<li>\u51e0\u4f55\u6982\u7387&#xff1a;\u6982\u7387\u662f\u51e0\u4f55\u957f\u5ea6\u7684\u5e73\u65b9<\/li>\n<li>\u5f52\u4e00\u5316\u7ea6\u675f&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2211mpm&#061;1\\\\sum_m p_m &#061; 1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0497em;vertical-align: -0.2997em\"><\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.0017em\"><span class=\"\" style=\"top: -2.4003em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2997em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u5bf9\u5e94\u4e8e\u51e0\u4f55\u957f\u5ea6\u7684\u5f52\u4e00\u5316<br \/>\n\u51e0\u4f55\u6982\u7387\u7684\u76f4\u89c2\u7406\u89e3&#xff1a;<\/li>\n<li>\u77e2\u91cf\u6295\u5f71&#xff1a;\u7ecf\u5178\u77e2\u91cf\u7684\u6295\u5f71\u957f\u5ea6<\/li>\n<li>\u89d2\u5ea6\u5173\u7cfb&#xff1a;\u6982\u7387\u4e0e\u51e0\u4f55\u89d2\u5ea6\u7684\u4f59\u5f26\u76f8\u5173<\/li>\n<li>\u8ddd\u79bb\u5ea6\u91cf&#xff1a;\u6982\u7387\u5b9a\u4e49\u4e86\u51e0\u4f55\u8ddd\u79bb<br \/>\n\u51e0\u4f55\u6982\u7387\u7684\u62d3\u6251\u6027\u8d28&#xff1a;<br \/>\n\u51e0\u4f55\u6982\u7387\u5177\u6709\u7279\u6b8a\u7684\u62d3\u6251\u6027\u8d28&#xff1a;<\/li>\n<li>\u8fde\u7eed\u6027&#xff1a;\u6982\u7387\u968f\u6001\u7684\u8fde\u7eed\u53d8\u5316\u800c\u8fde\u7eed\u53d8\u5316<\/li>\n<li>\u53ef\u5fae\u6027&#xff1a;\u6982\u7387\u5bf9\u6001\u7684\u53d8\u5316\u53ef\u5fae<\/li>\n<li>\u6781\u503c\u6027\u8d28&#xff1a;\u6982\u7387\u5728\u6b63\u4ea4\u6001\u5904\u53d6\u6781\u5c0f\u503c<br \/>\n\u51e0\u4f55\u6982\u7387\u7684\u6570\u5b66\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">pm&#061;cos\u20612\u03b8mp_m &#061; \\\\cos^2\\\\theta_m<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0141em;vertical-align: -0.15em\"><\/span><span class=\"mop\"><span class=\"mop\">cos<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03b8m\\\\theta_m<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0278em\">\u03b8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0278em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8\u27e9|\\\\psi\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span>\u4e0e<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223m\u27e9|m\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span>\u7684\u51e0\u4f55\u5939\u89d2\u3002<br \/>\n\u6982\u7387\u51e0\u4f55\u7684\u7269\u7406\u610f\u4e49&#xff1a;<br \/>\n\u6982\u7387\u51e0\u4f55\u7684\u7269\u7406\u610f\u4e49\u5305\u62ec&#xff1a;<\/li>\n<li>\u6d4b\u91cf\u7edf\u8ba1&#xff1a;\u5927\u91cf\u6d4b\u91cf\u7684\u7edf\u8ba1\u7ed3\u679c<\/li>\n<li>\u7cfb\u7efc\u89e3\u91ca&#xff1a;\u7cfb\u7efc\u4e2d\u5404\u6001\u7684\u51e0\u4f55\u5206\u5e03<\/li>\n<li>\u4e3b\u89c2\u6982\u7387&#xff1a;\u89c2\u6d4b\u8005\u7684\u4e3b\u89c2\u51e0\u4f55\u8ba4\u77e5<\/li>\n<\/ul>\n<h4>7.2 \u6d4b\u91cf\u7684\u52a8\u6001\u51e0\u4f55\u6a21\u578b<\/h4>\n<h5>7.2.1 \u9000\u76f8\u5e72\u7684\u51e0\u4f55\u673a\u5236&#xff1a;\u73af\u5883\u8bf1\u5bfc\u9009\u62e9<\/h5>\n<p>\u9000\u76f8\u5e72\u7406\u8bba\u4e3a\u7406\u89e3\u6d4b\u91cf\u8fc7\u7a0b\u63d0\u4f9b\u4e86\u52a8\u6001\u51e0\u4f55\u6a21\u578b&#xff0c;\u5b83\u63ed\u793a\u4e86\u73af\u5883\u5982\u4f55\u901a\u8fc7\u51e0\u4f55\u673a\u5236\u8bf1\u5bfc\u7ecf\u5178\u6027\u8d28\u7684\u51fa\u73b0\u3002\u6b63\u5982\u300a\u9ec4\u5e1d\u5185\u7ecf\u300b\u6240\u8a00&#xff1a;\u201c\u9634\u9633\u8005&#xff0c;\u5929\u5730\u4e4b\u9053\u4e5f&#xff0c;\u4e07\u7269\u4e4b\u7eb2\u7eaa\u201d&#xff0c;\u9000\u76f8\u5e72\u6b63\u662f\u8fd9\u79cd&#034;\u9634\u9633\u6d88\u957f&#034;\u7684\u51e0\u4f55\u8868\u73b0\u3002<br \/>\n\u73af\u5883\u8bf1\u5bfc\u7684\u51e0\u4f55\u9000\u76f8\u5e72&#xff1a;<br \/>\n\u73af\u5883\u8bf1\u5bfc\u9000\u76f8\u5e72\u7684\u51e0\u4f55\u673a\u5236&#xff1a;<\/p>\n<ul>\n<li>\u7ea0\u7f20\u51e0\u4f55&#xff1a;\u7cfb\u7edf\u4e0e\u73af\u5883\u7ea0\u7f20\u5bfc\u81f4\u51e0\u4f55\u7ed3\u6784\u590d\u6742\u5316<\/li>\n<li>\u4fe1\u606f\u6269\u6563&#xff1a;\u91cf\u5b50\u4fe1\u606f\u6269\u6563\u5230\u73af\u5883\u7684\u51e0\u4f55\u7a7a\u95f4\u4e2d<\/li>\n<li>\u6709\u6548\u7b80\u5316&#xff1a;\u7cfb\u7edf\u6709\u6548\u51e0\u4f55\u7ed3\u6784\u7684\u7b80\u5316<br \/>\n\u9000\u76f8\u5e72\u7684\u6570\u5b66\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1S(t)&#061;TrE[U(t)(\u03c1S\u2297\u03c1E)U\u2020(t)]\\\\rho_S(t) &#061; \\\\text{Tr}_E[U(t)(\\\\rho_S \\\\otimes \\\\rho_E)U^\\\\dagger(t)]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">S<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord text\"><span class=\"mord\">Tr<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">S<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2297<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1491em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0576em\">E<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">U<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2020<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)]<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d\u9000\u76f8\u5e72\u8fc7\u7a0b\u5bf9\u5e94\u4e8e\u51e0\u4f55\u7ed3\u6784\u7684\u7ea6\u5316&#xff08;\u8fd1\u4f3c\u4e8e\u91cd\u6574\u548c\u7c97\u7c92\u5316&#xff09;\u3002<br \/>\n\u6307\u9488\u6001\u7684\u51e0\u4f55\u9009\u62e9&#xff1a;<br \/>\n\u6307\u9488\u6001\u662f\u73af\u5883\u9009\u62e9\u51fa\u6765\u7684\u7279\u6b8a\u51e0\u4f55\u6001&#xff1a;<\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u5728\u73af\u5883\u4f5c\u7528\u4e0b\u4fdd\u6301\u51e0\u4f55\u7ed3\u6784\u7a33\u5b9a<\/li>\n<li>\u7ecf\u5178\u6027&#xff1a;\u5177\u6709\u7ecf\u5178\u51e0\u4f55\u7279\u5f81<\/li>\n<li>\u53ef\u533a\u5206\u6027&#xff1a;\u51e0\u4f55\u4e0a\u6613\u4e8e\u533a\u5206<br \/>\n\u6307\u9488\u6001\u7684\u51e0\u4f55\u6761\u4ef6&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">E(\u2223\u03c8i\u27e9\u27e8\u03c8j\u2223)\u2248cij(t)\u2223\u03c8i\u27e9\u27e8\u03c8j\u2223\\\\mathcal{E}(|\\\\psi_i\\\\rangle\\\\langle\\\\psi_j|) \\\\approx c_{ij}(t)|\\\\psi_i\\\\rangle\\\\langle\\\\psi_j|<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0894em\">E<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">ij<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">E\\\\mathcal{E}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0894em\">E<\/span><\/span><\/span><\/span><\/span>\u4e3a\u73af\u5883\u8d85\u7b97\u7b26&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">cij(t)c_{ij}(t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">c<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">ij<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4e3a\u8870\u51cf\u7cfb\u6570\u3002<br \/>\n\u9000\u76f8\u5e72\u65f6\u95f4\u7684\u51e0\u4f55\u6807\u5ea6&#xff1a;<br \/>\n\u9000\u76f8\u5e72\u65f6\u95f4\u5177\u6709\u51e0\u4f55\u6807\u5ea6&#xff1a;<\/li>\n<li>\u7cfb\u7edf\u5c3a\u5bf8&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4D\u221d1\/N\\\\tau_D \\\\propto 1\/N<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u221d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">NN<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">N<\/span><\/span><\/span><\/span><\/span>\u4e3a\u81ea\u7531\u5ea6\u6570&#xff09;<\/li>\n<li>\u8026\u5408\u5f3a\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4D\u221d1\/g\\\\tau_D \\\\propto 1\/g<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u221d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><\/span>&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">gg<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.625em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><\/span><\/span><\/span><\/span>\u4e3a\u8026\u5408\u5e38\u6570&#xff09;<\/li>\n<li>\u6e29\u5ea6\u4f9d\u8d56&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4D\u221d1\/T\\\\tau_D \\\\propto 1\/T<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u221d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span>&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">TT<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span>\u4e3a\u73af\u5883\u6e29\u5ea6&#xff09;<br \/>\n\u9000\u76f8\u5e72\u65f6\u95f4\u7684\u51e0\u4f55\u610f\u4e49&#xff1a;<\/li>\n<li>\u7ecf\u5178\u5316\u65f6\u95f4&#xff1a;\u4ece\u91cf\u5b50\u51e0\u4f55\u5230\u7ecf\u5178\u51e0\u4f55\u7684\u8f6c\u6362\u65f6\u95f4<\/li>\n<li>\u4fe1\u606f\u4e22\u5931\u65f6\u95f4&#xff1a;\u91cf\u5b50\u51e0\u4f55\u4fe1\u606f\u4e22\u5931\u7684\u65f6\u95f4\u5c3a\u5ea6<\/li>\n<li>\u6d4b\u91cf\u6709\u6548\u65f6\u95f4&#xff1a;\u6d4b\u91cf\u5b8c\u6210\u7684\u6709\u6548\u65f6\u95f4<\/li>\n<\/ul>\n<h5>7.2.2 \u6307\u9488\u57fa\u7684\u51e0\u4f55\u65b9\u5411&#xff1a;\u7ecf\u5178\u6d8c\u73b0<\/h5>\n<p>\u6307\u9488\u57fa\u7684\u51e0\u4f55\u65b9\u5411\u662f\u7406\u89e3\u7ecf\u5178\u4e16\u754c\u5982\u4f55\u4ece\u91cf\u5b50\u51e0\u4f55\u4e2d\u6d8c\u73b0\u7684\u5173\u952e\u3002\u6b63\u5982\u300a\u5e84\u5b50\u300b\u6240\u8a00&#xff1a;\u201c\u5929\u5730\u4e0e\u6211\u5e76\u751f&#xff0c;\u800c\u4e07\u7269\u4e0e\u6211\u4e3a\u4e00\u201d&#xff0c;\u7ecf\u5178\u6d8c\u73b0\u6b63\u662f\u8fd9\u79cd&#034;\u4e07\u7269\u4e3a\u4e00&#034;\u7684\u51e0\u4f55\u8868\u73b0\u3002<br \/>\n\u6307\u9488\u57fa\u7684\u51e0\u4f55\u7279\u5f81&#xff1a;<br \/>\n\u6307\u9488\u57fa<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">{\u2223pi\u27e9}\\\\{|p_i\\\\rangle\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9}<\/span><\/span><\/span><\/span><\/span>\u5177\u6709\u7279\u6b8a\u7684\u51e0\u4f55\u7279\u5f81&#xff1a;<\/p>\n<ul>\n<li>\u6b63\u4ea4\u6027&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u27e8pi\u2223pj\u27e9&#061;\u03b4ij\\\\langle p_i|p_j\\\\rangle &#061; \\\\delta_{ij}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9805em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0379em\">\u03b4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0379em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">ij<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u7a33\u5b9a\u6027&#xff1a;\u5728\u73af\u5883\u4f5c\u7528\u4e0b\u4fdd\u6301\u51e0\u4f55\u7ed3\u6784<\/li>\n<li>\u7ecf\u5178\u6027&#xff1a;\u5bf9\u5e94\u4e8e\u7ecf\u5178\u53ef\u89c2\u6d4b\u91cf\u7684\u672c\u5f81\u6001<br \/>\n\u6307\u9488\u57fa\u7684\u51e0\u4f55\u9009\u62e9\u673a\u5236&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Hpointer&#061;span{\u2223pi\u27e9}\\\\mathcal{H}_{\\\\text{pointer}} &#061; \\\\text{span}\\\\{|p_i\\\\rangle\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0097em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3175em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0097em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">pointer<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord text\"><span class=\"mord\">span<\/span><\/span><span class=\"mopen\">{<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9}<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u7ecf\u5178\u51e0\u4f55\u7684\u6d8c\u73b0\u673a\u5236&#xff1a;<br \/>\n\u7ecf\u5178\u51e0\u4f55\u4ece\u91cf\u5b50\u51e0\u4f55\u4e2d\u6d8c\u73b0\u7684\u673a\u5236&#xff1a;<\/li>\n<li>\u9000\u76f8\u5e72\u9009\u62e9&#xff1a;\u73af\u5883\u9009\u62e9\u7279\u5b9a\u7684\u51e0\u4f55\u65b9\u5411<\/li>\n<li>\u5b8f\u89c2\u53e0\u52a0&#xff1a;\u5b8f\u89c2\u53e0\u52a0\u6001\u8fc5\u901f\u9000\u76f8\u5e72<\/li>\n<li>\u6709\u6548\u7406\u8bba&#xff1a;\u7ecf\u5178\u51e0\u4f55\u4f5c\u4e3a\u6709\u6548\u7406\u8bba\u51fa\u73b0<br \/>\n\u7ecf\u5178\u6d8c\u73b0\u7684\u51e0\u4f55\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">Gclassical&#061;lim\u2061\u210f\u21920Gquantum\\\\mathcal{G}_{\\\\text{classical}} &#061; \\\\lim_{\\\\hbar \\\\to 0} \\\\mathcal{G}_{\\\\text{quantum}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">classical<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.4427em;vertical-align: -0.7482em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.6944em\"><span class=\"\" style=\"top: -2.3518em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u210f<\/span><span class=\"mrel mtight\">\u2192<\/span><span class=\"mord mtight\">0<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"\"><span class=\"mop\">lim<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.7482em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">quantum<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u51e0\u4f55\u5bf9\u5e94\u7684\u7ecf\u5178\u6781\u9650&#xff1a;<br \/>\n\u91cf\u5b50\u51e0\u4f55\u5230\u7ecf\u5178\u51e0\u4f55\u7684\u5bf9\u5e94&#xff1a;<\/li>\n<li>\u76f8\u7a7a\u95f4\u70b9&#xff1a;\u5bf9\u5e94\u4e8e\u6ce2\u5305\u7684\u51e0\u4f55\u4e2d\u5fc3<\/li>\n<li>\u7ecf\u5178\u8f68\u9053&#xff1a;\u5bf9\u5e94\u4e8e\u51e0\u4f55\u8def\u5f84\u7684\u6781\u9650<\/li>\n<li>\u5b88\u6052\u91cf&#xff1a;\u5bf9\u5e94\u4e8e\u51e0\u4f55\u4e0d\u53d8\u91cf<br \/>\n\u7ecf\u5178\u6781\u9650\u7684\u51e0\u4f55\u6761\u4ef6&#xff1a;<\/li>\n<li>\u4f5c\u7528\u91cf&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">S\u226b\u210fS \\\\gg \\\\hbar<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7224em;vertical-align: -0.0391em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">S<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u226b<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6889em\"><\/span><span class=\"mord\">\u210f<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u76f8\u5e72\u957f\u5ea6&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03bbc\u226aL\\\\lambda_c \\\\ll L<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">c<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u226a<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><\/span><\/span><\/span><\/span>&#xff08;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">LL<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">L<\/span><\/span><\/span><\/span><\/span>\u4e3a\u7279\u5f81\u957f\u5ea6&#xff09;<\/li>\n<li>\u9000\u76f8\u5e72\u65f6\u95f4&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c4D\u226a\u03c4obs\\\\tau_D \\\\ll \\\\tau_{\\\\text{obs}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6891em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3283em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u226a<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1132em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">obs<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ul>\n<h5>7.2.3 \u8fde\u7eed\u6d4b\u91cf\u7684\u51e0\u4f55\u8def\u5f84&#xff1a;\u91cf\u5b50\u8f68\u8ff9<\/h5>\n<p>\u8fde\u7eed\u6d4b\u91cf\u63d0\u4f9b\u4e86\u7406\u89e3\u6d4b\u91cf\u8fc7\u7a0b\u52a8\u6001\u51e0\u4f55\u7684\u65b0\u89c6\u89d2&#xff0c;\u91cf\u5b50\u8f68\u8ff9\u63cf\u8ff0\u4e86\u7cfb\u7edf\u5728\u8fde\u7eed\u6d4b\u91cf\u4e0b\u7684\u51e0\u4f55\u6f14\u5316\u8def\u5f84\u3002\u6b63\u5982\u300a\u5468\u6613\u300b\u6240\u8a00&#xff1a;\u201c\u7a77\u5219\u53d8&#xff0c;\u53d8\u5219\u901a&#xff0c;\u901a\u5219\u4e45\u201d&#xff0c;\u8fde\u7eed\u6d4b\u91cf\u6b63\u662f\u8fd9\u79cd&#034;\u53d8\u901a&#034;\u7684\u51e0\u4f55\u8868\u73b0\u3002<br \/>\n\u91cf\u5b50\u8f68\u8ff9\u7684\u51e0\u4f55\u63cf\u8ff0&#xff1a;<br \/>\n\u91cf\u5b50\u8f68\u8ff9<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8(t)\u27e9|\\\\psi(t)\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)\u27e9<\/span><\/span><\/span><\/span><\/span>\u63cf\u8ff0\u4e86\u8fde\u7eed\u6d4b\u91cf\u4e0b\u7684\u51e0\u4f55\u6f14\u5316&#xff1a;<\/p>\n<ul>\n<li>\u968f\u673a\u6f14\u5316&#xff1a;\u6f14\u5316\u8def\u5f84\u5177\u6709\u968f\u673a\u6027<\/li>\n<li>\u975e\u5e7a\u6b63\u6027&#xff1a;\u6f14\u5316\u8fc7\u7a0b\u975e\u5e7a\u6b63<\/li>\n<li>\u6761\u4ef6\u6027&#xff1a;\u4f9d\u8d56\u4e8e\u6d4b\u91cf\u7ed3\u679c&#xff08;\u53ef\u4ee5\u7406\u89e3\u4e3a\u6d4b\u91cf\u672c\u8eab\u662f\u91cf\u5b50\u8f68\u8ff9\u5f62\u6210\u7684\u6761\u4ef6&#xff09;<br \/>\n\u91cf\u5b50\u8f68\u8ff9\u7684\u6f14\u5316\u65b9\u7a0b&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">d\u2223\u03c8\u27e9&#061;(\u2212i\u210fHeffdt&#043;\u2211m\u27e8R^m\u27e9dWm(t)\u221212\u2211mR^m\u2020R^mdt)\u2223\u03c8\u27e9d|\\\\psi\\\\rangle &#061; \\\\left(-\\\\frac{i}{\\\\hbar}H_{\\\\text{eff}}dt &#043; \\\\sum_m \\\\langle \\\\hat{R}_m \\\\rangle dW_m(t) &#8211; \\\\frac{1}{2}\\\\sum_m \\\\hat{R}_m^\\\\dagger \\\\hat{R}_m dt\\\\right)|\\\\psi\\\\rangle<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 3em;vertical-align: -1.25em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size4\">(<\/span><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3365em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u210f<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0813em\">H<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0813em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">eff<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.9em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.25em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">\u27e9<\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.3214em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.9em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.25em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mbin mtight\">\u2020<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size4\">)<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mclose\">\u27e9<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">dWm(t)dW_m(t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">d<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.1389em\">W<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.1389em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u4e3a\u7ef4\u7eb3\u8fc7\u7a0b&#xff08;\u4e00\u79cd\u8fde\u7eed\u65f6\u95f4\u968f\u673a\u8fc7\u7a0b&#xff0c;\u7528\u4e8e\u63cf\u8ff0\u968f\u673a\u6e38\u8d70\u7684\u6781\u9650\u884c\u4e3a&#xff09;&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">R^m\\\\hat{R}_m<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0968em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9468em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><\/span><span class=\"\" style=\"top: -3.2523em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"accent-body\" style=\"left: -0.1667em\"><span class=\"mord\">^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0077em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u6d4b\u91cf\u7b97\u7b26\u3002<br \/>\n\u51e0\u4f55\u8def\u5f84\u7684\u7edf\u8ba1\u6027\u8d28&#xff1a;<br \/>\n\u91cf\u5b50\u8f68\u8ff9\u7684\u51e0\u4f55\u8def\u5f84\u5177\u6709\u7edf\u8ba1\u6027\u8d28&#xff1a;<\/li>\n<li>\u7cfb\u7efc\u5e73\u5747&#xff1a;\u6062\u590d\u5e7a\u6b63\u6f14\u5316&#xff08;\u8fc7\u7a0b\u968f\u673a\u4e0d\u5b88\u6052&#xff0c;\u4f46\u6574\u4f53\u9075\u5faa\u4e48\u6b63\u6027&#xff09;<\/li>\n<li>\u8def\u5f84\u5206\u5e03&#xff1a;\u4e0d\u540c\u51e0\u4f55\u8def\u5f84\u7684\u6982\u7387\u5206\u5e03<\/li>\n<li>\u6536\u655b\u6027\u8d28&#xff1a;\u8def\u5f84\u5411\u672c\u5f81\u6001\u6536\u655b<br \/>\n\u51e0\u4f55\u8def\u5f84\u7684\u7edf\u8ba1\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u2223\u03c8(t)\u27e9\u27e8\u03c8(t)\u2223\u203e&#061;\u03c1(t)\\\\overline{|\\\\psi(t)\\\\rangle\\\\langle\\\\psi(t)|} &#061; \\\\rho(t)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.2em;vertical-align: -0.25em\"><\/span><span class=\"mord overline\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\" style=\"top: -3em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)\u27e9<\/span><span class=\"mopen\">\u27e8<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c8<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><span class=\"\" style=\"top: -3.87em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"overline-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.25em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u8fde\u7eed\u6d4b\u91cf\u7684\u51e0\u4f55\u5e94\u7528&#xff1a;<br \/>\n\u8fde\u7eed\u6d4b\u91cf\u7684\u51e0\u4f55\u5e94\u7528\u5305\u62ec&#xff1a;<\/li>\n<li>\u91cf\u5b50\u53cd\u9988&#xff1a;\u57fa\u4e8e\u6d4b\u91cf\u7ed3\u679c\u7684\u51e0\u4f55\u63a7\u5236<\/li>\n<li>\u72b6\u6001\u5236\u5907&#xff1a;\u901a\u8fc7\u8fde\u7eed\u6d4b\u91cf\u5236\u5907\u7279\u5b9a\u51e0\u4f55\u6001<\/li>\n<li>\u51e0\u4f55\u76d1\u6d4b&#xff1a;\u5b9e\u65f6\u76d1\u6d4b\u51e0\u4f55\u6f14\u5316\u8fc7\u7a0b<\/li>\n<\/ul>\n<h4>7.3 \u6d4b\u91cf\u95ee\u9898\u7684\u54f2\u5b66\u610f\u6db5<\/h4>\n<h5>7.3.1 \u4e3b\u5ba2\u7edf\u4e00\u7684\u51e0\u4f55\u57fa\u7840<\/h5>\n<p>\u6d4b\u91cf\u95ee\u9898\u7684\u54f2\u5b66\u610f\u6db5\u6df1\u690d\u4e8e\u4e3b\u5ba2\u7edf\u4e00\u7684\u51e0\u4f55\u57fa\u7840\u4e4b\u4e2d\u3002\u6b63\u5982\u300a\u9053\u5fb7\u7ecf\u300b\u6240\u8a00&#xff1a;\u201c\u9053\u53ef\u9053&#xff0c;\u975e\u5e38\u9053&#xff1b;\u540d\u53ef\u540d&#xff0c;\u975e\u5e38\u540d\u201d&#xff0c;\u4e3b\u5ba2\u7edf\u4e00\u6b63\u662f\u8fd9\u79cd&#034;\u975e\u5e38\u9053&#034;\u7684\u51e0\u4f55\u8868\u73b0\u3002<br \/>\n\u4e3b\u5ba2\u89c2\u7684\u51e0\u4f55\u76f8\u4e92\u4f5c\u7528&#xff1a;<br \/>\n\u6d4b\u91cf\u8fc7\u7a0b\u4e2d\u4e3b\u5ba2\u89c2\u7684\u51e0\u4f55\u76f8\u4e92\u4f5c\u7528&#xff1a;<\/p>\n<ul>\n<li>\u4e3b\u89c2\u9009\u62e9&#xff1a;\u6d4b\u91cf\u57fa\u7684\u4e3b\u89c2\u51e0\u4f55\u9009\u62e9<\/li>\n<li>\u5ba2\u89c2\u54cd\u5e94&#xff1a;\u7cfb\u7edf\u7684\u5ba2\u89c2\u51e0\u4f55\u54cd\u5e94<\/li>\n<li>\u76f8\u4e92\u4f5c\u7528&#xff1a;\u4e3b\u5ba2\u89c2\u7684\u51e0\u4f55\u76f8\u4e92\u4f5c\u7528<br \/>\n\u4e3b\u5ba2\u89c2\u7edf\u4e00\u7684\u51e0\u4f55\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">\u6d4b\u91cf\u7ed3\u679c&#061;M(\u4e3b\u89c2\u9009\u62e9,\u5ba2\u89c2\u72b6\u6001)\\\\text{\u6d4b\u91cf\u7ed3\u679c} &#061; \\\\mathcal{M}(\\\\text{\u4e3b\u89c2\u9009\u62e9}, \\\\text{\u5ba2\u89c2\u72b6\u6001})<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u6d4b\u91cf\u7ed3\u679c<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathcal\">M<\/span><span class=\"mopen\">(<\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u4e3b\u89c2\u9009\u62e9<\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord text\"><span class=\"mord cjk_fallback\">\u5ba2\u89c2\u72b6\u6001<\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u89c2\u6d4b\u8005\u7684\u51e0\u4f55\u89d2\u8272&#xff1a;<br \/>\n\u89c2\u6d4b\u8005\u5728\u6d4b\u91cf\u4e2d\u7684\u51e0\u4f55\u89d2\u8272&#xff1a;<\/li>\n<li>\u51e0\u4f55\u6784\u9020\u8005&#xff1a;\u6784\u9020\u6d4b\u91cf\u51e0\u4f55\u6846\u67b6<\/li>\n<li>\u4fe1\u606f\u63d0\u53d6\u8005&#xff1a;\u4ece\u51e0\u4f55\u4e2d\u63d0\u53d6\u4fe1\u606f<\/li>\n<li>\u73b0\u5b9e\u5efa\u6784\u8005&#xff1a;\u53c2\u4e0e\u51e0\u4f55\u73b0\u5b9e\u7684\u5efa\u6784<br \/>\n\u89c2\u6d4b\u8005\u89d2\u8272\u7684\u51e0\u4f55\u610f\u4e49&#xff1a;<\/li>\n<li>\u8ba4\u77e5\u51e0\u4f55&#xff1a;\u89c2\u6d4b\u8005\u7684\u8ba4\u77e5\u51e0\u4f55\u7ed3\u6784<\/li>\n<li>\u6d4b\u91cf\u51e0\u4f55&#xff1a;\u6d4b\u91cf\u88c5\u7f6e\u7684\u51e0\u4f55\u914d\u7f6e<\/li>\n<li>\u89e3\u91ca\u51e0\u4f55&#xff1a;\u6d4b\u91cf\u7ed3\u679c\u7684\u51e0\u4f55\u89e3\u91ca<br \/>\n\u4e3b\u5ba2\u89c2\u7edf\u4e00\u7684\u6570\u5b66\u6846\u67b6&#xff1a;<\/li>\n<li>\u51e0\u4f55\u7a7a\u95f4&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">G&#061;Gsubject\u00d7Gobject\\\\mathcal{G} &#061; \\\\mathcal{G}_{\\\\text{subject}} \\\\times \\\\mathcal{G}_{\\\\text{object}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">subject<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0593em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">object<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u76f8\u4e92\u4f5c\u7528&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">I:G\u2192G\\\\mathcal{I}: \\\\mathcal{G} \\\\rightarrow \\\\mathcal{G}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0738em\">I<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7805em;vertical-align: -0.0972em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u7edf\u4e00\u63cf\u8ff0&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">U&#061;(G,I,O)\\\\mathcal{U} &#061; (\\\\mathcal{G}, \\\\mathcal{I}, \\\\mathcal{O})<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0993em\">U<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0593em\">G<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0738em\">I<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0278em\">O<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">O\\\\mathcal{O}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0278em\">O<\/span><\/span><\/span><\/span><\/span>\u4e3a\u89c2\u6d4b\u7ed3\u679c\u7a7a\u95f4\u3002<\/li>\n<\/ul>\n<h5>7.3.2 \u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b<\/h5>\n<p>\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\u3002\u6b63\u5982\u300a\u5468\u6613\u300b\u6240\u8a00&#xff1a;\u201c\u5f62\u800c\u4e0a\u8005\u8c13\u4e4b\u9053&#xff0c;\u5f62\u800c\u4e0b\u8005\u8c13\u4e4b\u5668\u201d&#xff0c;\u73b0\u5b9e\u5efa\u6784\u6b63\u662f\u8fd9\u79cd&#034;\u9053\u5668\u5408\u4e00&#034;\u7684\u51e0\u4f55\u8868\u73b0\u3002<br \/>\n\u51e0\u4f55\u73b0\u5b9e\u7684\u5efa\u6784\u673a\u5236&#xff1a;<\/p>\n<ul>\n<li>\u53ef\u80fd\u6027\u7a7a\u95f4&#xff1a;\u91cf\u5b50\u51e0\u4f55\u7684\u53ef\u80fd\u6027\u7a7a\u95f4<\/li>\n<li>\u9009\u62e9\u673a\u5236&#xff1a;\u6d4b\u91cf\u9009\u62e9\u7279\u5b9a\u51e0\u4f55\u73b0\u5b9e<\/li>\n<li>\u7a33\u5b9a\u5316\u673a\u5236&#xff1a;\u9000\u76f8\u5e72\u7a33\u5b9a\u5316\u51e0\u4f55\u73b0\u5b9e<br \/>\n\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">R&#061;S(P,M,D)\\\\mathcal{R} &#061; \\\\mathcal{S}(\\\\mathcal{P}, \\\\mathcal{M}, \\\\mathcal{D})<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">R<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.075em\">S<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0822em\">P<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathcal\">M<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0278em\">D<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">P\\\\mathcal{P}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0822em\">P<\/span><\/span><\/span><\/span><\/span>\u4e3a\u53ef\u80fd\u6027\u7a7a\u95f4&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">M\\\\mathcal{M}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">M<\/span><\/span><\/span><\/span><\/span>\u4e3a\u6d4b\u91cf\u9009\u62e9&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">D\\\\mathcal{D}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0278em\">D<\/span><\/span><\/span><\/span><\/span>\u4e3a\u9000\u76f8\u5e72\u7a33\u5b9a\u5316\u3002<br \/>\n\u591a\u91cd\u73b0\u5b9e\u7684\u51e0\u4f55\u7ed3\u6784&#xff1a;<\/li>\n<li>\u5206\u652f\u51e0\u4f55&#xff1a;\u6bcf\u6b21\u6d4b\u91cf\u4ea7\u751f\u51e0\u4f55\u5206\u652f<\/li>\n<li>\u6811\u72b6\u7ed3\u6784&#xff1a;\u6d4b\u91cf\u5386\u53f2\u7684\u51e0\u4f55\u6811<\/li>\n<li>\u6982\u7387\u6743\u91cd&#xff1a;\u5404\u5206\u652f\u7684\u51e0\u4f55\u6982\u7387\u6743\u91cd<br \/>\n\u591a\u91cd\u73b0\u5b9e\u7684\u6570\u5b66\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">MR&#061;\u22c3iwiRi\\\\mathcal{M}\\\\mathcal{R} &#061; \\\\bigcup_{i} w_i \\\\mathcal{R}_i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">M<\/span><span class=\"mord mathcal\">R<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.3277em;vertical-align: -1.2777em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.8723em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u22c3<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.2777em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathcal\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Ri\\\\mathcal{R}_i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u7b2c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ii<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6595em\"><\/span><span class=\"mord mathnormal\">i<\/span><\/span><\/span><\/span><\/span>\u4e2a\u51e0\u4f55\u73b0\u5b9e&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">wiw_i<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.5806em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0269em\">w<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0269em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u4e3a\u5bf9\u5e94\u7684\u6982\u7387\u6743\u91cd\u3002<br \/>\n\u73b0\u5b9e\u5efa\u6784\u7684\u8ba4\u77e5\u610f\u4e49&#xff1a;<\/li>\n<li>\u8ba4\u77e5\u53c2\u4e0e&#xff1a;\u8ba4\u77e5\u8fc7\u7a0b\u53c2\u4e0e\u73b0\u5b9e\u5efa\u6784<\/li>\n<li>\u51e0\u4f55\u7406\u89e3&#xff1a;\u901a\u8fc7\u51e0\u4f55\u7406\u89e3\u73b0\u5b9e\u672c\u8d28<\/li>\n<li>\u521b\u9020\u6027\u8fc7\u7a0b&#xff1a;\u73b0\u5b9e\u5efa\u6784\u662f\u521b\u9020\u6027\u8fc7\u7a0b<\/li>\n<\/ul>\n<h5>7.3.3 \u4fe1\u606f\u51e0\u4f55\u7684\u6d4b\u91cf\u63cf\u8ff0<\/h5>\n<p>\u4fe1\u606f\u51e0\u4f55\u4e3a\u7406\u89e3\u6d4b\u91cf\u8fc7\u7a0b\u63d0\u4f9b\u4e86\u65b0\u7684\u6570\u5b66\u5de5\u5177&#xff0c;\u5b83\u5c06\u6d4b\u91cf\u8fc7\u7a0b\u63cf\u8ff0\u4e3a\u4fe1\u606f\u51e0\u4f55\u4e2d\u7684\u51e0\u4f55\u53d8\u6362\u3002\u6b63\u5982\u300a\u5b59\u5b50\u7b97\u7ecf\u300b\u6240\u8a00&#xff1a;\u201c\u51e1\u7b97\u4e4b\u6cd5&#xff0c;\u5148\u8bc6\u5176\u4f4d\u201d&#xff0c;\u4fe1\u606f\u51e0\u4f55\u6b63\u662f\u8bc6\u522b\u6d4b\u91cf&#034;\u4f4d&#034;\u7684\u6570\u5b66\u5de5\u5177\u3002<br \/>\n\u4fe1\u606f\u51e0\u4f55\u7684\u57fa\u672c\u6982\u5ff5&#xff1a;<\/p>\n<ul>\n<li>\u7edf\u8ba1\u6d41\u5f62&#xff1a;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">M&#061;{p\u03b8(x)}\\\\mathcal{M} &#061; \\\\{p_\\\\theta(x)\\\\}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">{<\/span><span class=\"mord\"><span class=\"mord mathnormal\">p<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3361em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0278em\">\u03b8<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)}<\/span><\/span><\/span><\/span><\/span>\u4e3a\u6982\u7387\u5206\u5e03\u6d41\u5f62<\/li>\n<li>\u9ece\u66fc\u5ea6\u91cf&#xff1a;Fisher\u4fe1\u606f\u77e9\u9635<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">gij&#061;E[\u2202ilog\u2061p\u22c5\u2202jlog\u2061p]g_{ij} &#061; E[\\\\partial_i \\\\log p \\\\cdot \\\\partial_j \\\\log p]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7167em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0359em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">ij<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0576em\">E<\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord\" style=\"margin-right: 0.0556em\">\u2202<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0556em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u22c5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord\" style=\"margin-right: 0.0556em\">\u2202<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3117em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0556em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0572em\">j<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\">lo<span style=\"margin-right: 0.0139em\">g<\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">p<\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>\u6d4b\u5730\u7ebf&#xff1a;\u4fe1\u606f\u51e0\u4f55\u4e2d\u7684\u6700\u77ed\u8def\u5f84<br \/>\n\u4fe1\u606f\u51e0\u4f55\u7684\u6570\u5b66\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">I&#061;(M,g,\u2207)\\\\mathcal{I} &#061; (\\\\mathcal{M}, g, \\\\nabla)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\" style=\"margin-right: 0.0738em\">I<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathcal\">M<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">g<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">\u2207<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2207\\\\nabla<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord\">\u2207<\/span><\/span><\/span><\/span><\/span>\u4e3a\u4eff\u5c04\u8054\u7edc\u3002<br \/>\n\u6d4b\u91cf\u8fc7\u7a0b\u7684\u4fe1\u606f\u51e0\u4f55&#xff1a;<br \/>\n\u6d4b\u91cf\u8fc7\u7a0b\u7684\u4fe1\u606f\u51e0\u4f55\u63cf\u8ff0&#xff1a;<\/li>\n<li>\u6001\u7a7a\u95f4&#xff1a;\u91cf\u5b50\u6001\u7684\u7edf\u8ba1\u6d41\u5f62<\/li>\n<li>\u6d4b\u91cf\u53d8\u6362&#xff1a;\u6d4b\u91cf\u4f5c\u4e3a\u4fe1\u606f\u51e0\u4f55\u4e2d\u7684\u53d8\u6362<\/li>\n<li>\u4fe1\u606f\u53d8\u5316&#xff1a;\u6d4b\u91cf\u8fc7\u7a0b\u4e2d\u7684\u4fe1\u606f\u51e0\u4f55\u53d8\u5316<br \/>\n\u6d4b\u91cf\u8fc7\u7a0b\u7684\u51e0\u4f55\u8868\u8ff0&#xff1a;<br \/>\n<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">M:Mpre\u2192Mpost\\\\mathcal{M}: \\\\mathcal{M}_{\\\\text{pre}} \\\\rightarrow \\\\mathcal{M}_{\\\\text{post}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathcal\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">:<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">pre<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2192<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">post<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br \/>\n\u5176\u4e2d<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Mpre\\\\mathcal{M}_{\\\\text{pre}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">pre<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u548c<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Mpost\\\\mathcal{M}_{\\\\text{post}}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathcal\">M<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">post<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u5206\u522b\u4e3a\u6d4b\u91cf\u524d\u540e\u7684\u4fe1\u606f\u51e0\u4f55\u3002<br \/>\n\u4fe1\u606f\u51e0\u4f55\u7684\u7269\u7406\u610f\u4e49&#xff1a;<br \/>\n\u4fe1\u606f\u51e0\u4f55\u7684\u7269\u7406\u610f\u4e49&#xff1a;<\/li>\n<li>\u533a\u5206\u80fd\u529b&#xff1a;\u51e0\u4f55\u5ea6\u91cf\u63cf\u8ff0\u6001\u7684\u533a\u5206\u80fd\u529b<\/li>\n<li>\u4fe1\u606f\u8ddd\u79bb&#xff1a;\u51e0\u4f55\u8ddd\u79bb\u5bf9\u5e94\u4e8e\u4fe1\u606f\u8ddd\u79bb<\/li>\n<li>\u4f18\u5316\u6d4b\u91cf&#xff1a;\u51e0\u4f55\u4f18\u5316\u6307\u5bfc\u6d4b\u91cf\u8bbe\u8ba1<br \/>\n\u4fe1\u606f\u51e0\u4f55\u7684\u5e94\u7528&#xff1a;<\/li>\n<li>\u53c2\u6570\u4f30\u8ba1&#xff1a;\u51e0\u4f55\u65b9\u6cd5\u4f18\u5316\u53c2\u6570\u4f30\u8ba1<\/li>\n<li>\u6001\u8bc6\u522b&#xff1a;\u51e0\u4f55\u8ddd\u79bb\u8bc6\u522b\u91cf\u5b50\u6001<\/li>\n<li>\u6d4b\u91cf\u8bbe\u8ba1&#xff1a;\u51e0\u4f55\u539f\u7406\u8bbe\u8ba1\u6700\u4f18\u6d4b\u91cf<\/li>\n<\/ul>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>\u300a\u91cf\u5b50\u51e0\u4f55\u5b66&#xff1a;\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03&#xff09;<br \/>\n\u4f5c\u8005&#xff1a;Figo Cheung &#xff06; Figo AI team<br \/>\n\u7b2c\u4e09\u7f16&#xff1a;\u7269\u7406\u7406\u8bba\u7bc7\u2014\u2014\u91cf\u5b50\u51e0\u4f55\u5b66\u7684\u5e94\u7528\u4f53\u7cfb<br \/>\n\u7b2c\u4e03\u7ae0 \u6d4b\u91cf\u8fc7\u7a0b&#xff1a;\u52a8\u6001\u51e0\u4f55\u7684\u574d\u7f29\u53d8\u6362<br \/>\n7.1 \u6d4b\u91cf\u95ee\u9898\u7684\u51e0\u4f55\u91cd\u6784<br \/>\n7.1.1 \u6d4b\u91cf\u7b97\u7b26\u7684\u51e0\u4f55\u4f5c\u7528&#xff1a;\u6295\u5f71\u4e0e\u53d8\u6362<br \/>\n\u91cf\u5b50\u6d4b\u91cf\u95ee\u9898\u81ea\u91cf\u5b50\u529b\u5b66\u8bde\u751f\u4ee5\u6765\u4e00\u76f4\u56f0\u6270\u7740\u7269\u7406\u5b66\u5bb6\u548c\u54f2\u5b66\u5bb6&#xff0c;\u4ece\u51e0\u4f55\u5b66\u89d2\u5ea6\u91cd\u6784\u6d4b\u91cf\u8fc7\u7a0b&amp;#xff<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[8232,427,2958],"topic":[],"class_list":["post-78166","post","type-post","status-publish","format-standard","hentry","category-server","tag-8232","tag-427","tag-2958"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/78166.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"og:description\" content=\"\u300a\u91cf\u5b50\u51e0\u4f55\u5b66&#xff1a;\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03&#xff09; \u4f5c\u8005&#xff1a;Figo Cheung &#xff06; Figo AI team \u7b2c\u4e09\u7f16&#xff1a;\u7269\u7406\u7406\u8bba\u7bc7\u2014\u2014\u91cf\u5b50\u51e0\u4f55\u5b66\u7684\u5e94\u7528\u4f53\u7cfb \u7b2c\u4e03\u7ae0 \u6d4b\u91cf\u8fc7\u7a0b&#xff1a;\u52a8\u6001\u51e0\u4f55\u7684\u574d\u7f29\u53d8\u6362 7.1 \u6d4b\u91cf\u95ee\u9898\u7684\u51e0\u4f55\u91cd\u6784 7.1.1 \u6d4b\u91cf\u7b97\u7b26\u7684\u51e0\u4f55\u4f5c\u7528&#xff1a;\u6295\u5f71\u4e0e\u53d8\u6362 \u91cf\u5b50\u6d4b\u91cf\u95ee\u9898\u81ea\u91cf\u5b50\u529b\u5b66\u8bde\u751f\u4ee5\u6765\u4e00\u76f4\u56f0\u6270\u7740\u7269\u7406\u5b66\u5bb6\u548c\u54f2\u5b66\u5bb6&#xff0c;\u4ece\u51e0\u4f55\u5b66\u89d2\u5ea6\u91cd\u6784\u6d4b\u91cf\u8fc7\u7a0b&amp;#xff\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wsisp.com\/helps\/78166.html\" \/>\n<meta property=\"og:site_name\" content=\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\" \/>\n<meta property=\"article:published_time\" content=\"2026-02-26T04:41:49+00:00\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/78166.html\",\"url\":\"https:\/\/www.wsisp.com\/helps\/78166.html\",\"name\":\"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"isPartOf\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\"},\"datePublished\":\"2026-02-26T04:41:49+00:00\",\"dateModified\":\"2026-02-26T04:41:49+00:00\",\"author\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\"},\"breadcrumb\":{\"@id\":\"https:\/\/www.wsisp.com\/helps\/78166.html#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.wsisp.com\/helps\/78166.html\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/78166.html#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/www.wsisp.com\/helps\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#website\",\"url\":\"https:\/\/www.wsisp.com\/helps\/\",\"name\":\"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3\",\"description\":\"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"contentUrl\":\"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery\",\"caption\":\"admin\"},\"sameAs\":[\"http:\/\/wp.wsisp.com\"],\"url\":\"https:\/\/www.wsisp.com\/helps\/author\/admin\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wsisp.com\/helps\/78166.html","og_locale":"zh_CN","og_type":"article","og_title":"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","og_description":"\u300a\u91cf\u5b50\u51e0\u4f55\u5b66&#xff1a;\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03&#xff09; \u4f5c\u8005&#xff1a;Figo Cheung &#xff06; Figo AI team \u7b2c\u4e09\u7f16&#xff1a;\u7269\u7406\u7406\u8bba\u7bc7\u2014\u2014\u91cf\u5b50\u51e0\u4f55\u5b66\u7684\u5e94\u7528\u4f53\u7cfb \u7b2c\u4e03\u7ae0 \u6d4b\u91cf\u8fc7\u7a0b&#xff1a;\u52a8\u6001\u51e0\u4f55\u7684\u574d\u7f29\u53d8\u6362 7.1 \u6d4b\u91cf\u95ee\u9898\u7684\u51e0\u4f55\u91cd\u6784 7.1.1 \u6d4b\u91cf\u7b97\u7b26\u7684\u51e0\u4f55\u4f5c\u7528&#xff1a;\u6295\u5f71\u4e0e\u53d8\u6362 \u91cf\u5b50\u6d4b\u91cf\u95ee\u9898\u81ea\u91cf\u5b50\u529b\u5b66\u8bde\u751f\u4ee5\u6765\u4e00\u76f4\u56f0\u6270\u7740\u7269\u7406\u5b66\u5bb6\u548c\u54f2\u5b66\u5bb6&#xff0c;\u4ece\u51e0\u4f55\u5b66\u89d2\u5ea6\u91cd\u6784\u6d4b\u91cf\u8fc7\u7a0b&amp;#xff","og_url":"https:\/\/www.wsisp.com\/helps\/78166.html","og_site_name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","article_published_time":"2026-02-26T04:41:49+00:00","author":"admin","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"admin","\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"6 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wsisp.com\/helps\/78166.html","url":"https:\/\/www.wsisp.com\/helps\/78166.html","name":"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","isPartOf":{"@id":"https:\/\/www.wsisp.com\/helps\/#website"},"datePublished":"2026-02-26T04:41:49+00:00","dateModified":"2026-02-26T04:41:49+00:00","author":{"@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41"},"breadcrumb":{"@id":"https:\/\/www.wsisp.com\/helps\/78166.html#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wsisp.com\/helps\/78166.html"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wsisp.com\/helps\/78166.html#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/www.wsisp.com\/helps"},{"@type":"ListItem","position":2,"name":"Figo\u300a\u91cf\u5b50\u51e0\u4f55\u5b66\uff1a\u4ece\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u5230\u5168\u606f\u65f6\u7a7a\u7684\u7edf\u4e00\u7406\u8bba\u4f53\u7cfb\u300b(\u4e03\uff09\u2014\u2014\u6d4b\u91cf\u8fc7\u7a0b\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u73b0\u5b9e\u5efa\u6784\u7684\u51e0\u4f55\u8fc7\u7a0b\uff0c\u591a\u91cd\u73b0\u5b9e\u662f\u591a\u6b21\u6d4b\u91cf\u4ea7\u751f\u7684\u51e0\u4f55\u5206\u652f\u7ed3\u6784"}]},{"@type":"WebSite","@id":"https:\/\/www.wsisp.com\/helps\/#website","url":"https:\/\/www.wsisp.com\/helps\/","name":"\u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3","description":"\u9999\u6e2f\u670d\u52a1\u5668_\u9999\u6e2f\u4e91\u670d\u52a1\u5668\u8d44\u8baf_\u670d\u52a1\u5668\u5e2e\u52a9\u6587\u6863_\u670d\u52a1\u5668\u6559\u7a0b","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wsisp.com\/helps\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Person","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/358e386c577a3ab51c4493330a20ad41","name":"admin","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/www.wsisp.com\/helps\/#\/schema\/person\/image\/","url":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","contentUrl":"https:\/\/gravatar.wp-china-yes.net\/avatar\/?s=96&d=mystery","caption":"admin"},"sameAs":["http:\/\/wp.wsisp.com"],"url":"https:\/\/www.wsisp.com\/helps\/author\/admin"}]}},"_links":{"self":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/78166","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/comments?post=78166"}],"version-history":[{"count":0,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/posts\/78166\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/media?parent=78166"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/categories?post=78166"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/tags?post=78166"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.wsisp.com\/helps\/wp-json\/wp\/v2\/topic?post=78166"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}