{"id":79483,"date":"2026-03-02T09:57:32","date_gmt":"2026-03-02T01:57:32","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/79483.html"},"modified":"2026-03-02T09:57:32","modified_gmt":"2026-03-02T01:57:32","slug":"%e3%80%90dreamvfia%e5%bc%80%e6%ba%90%e3%80%91%e5%ae%b9%e9%94%99%e9%87%8f%e5%ad%90%e8%ae%a1%e7%ae%97%ef%bc%9a%e9%80%bb%e8%be%91%e9%97%a8%e4%b8%8e%e9%98%88%e5%80%bc%e5%ae%9a%e7%90%86","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/79483.html","title":{"rendered":"\u3010DREAMVFIA\u5f00\u6e90\u3011\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\uff1a\u903b\u8f91\u95e8\u4e0e\u9608\u503c\u5b9a\u7406"},"content":{"rendered":"

\u7248\u6743\u6807\u8bc6<\/h3>\n

\u7248\u6743\u58f0\u660e\uff1a\u00a9 2026 DREAMVFIA UNION \u7248\u6743\u6240\u6709\u3002\u672a\u7ecf\u8bb8\u53ef\uff0c\u7981\u6b62\u4efb\u4f55\u5f62\u5f0f\u7684\u8f6c\u8f7d\u3001\u590d\u5236\u6216\u5f15\u7528\u3002<\/p>\n

\n

\u6458\u8981<\/h3>\n

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\n

\u7b2c\u4e00\u7ae0 \u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u6982\u8bba<\/h3>\n

1.1 \u91cf\u5b50\u8ba1\u7b97\u4e2d\u7684\u9519\u8bef\u6765\u6e90\u4e0e\u7c7b\u578b<\/h4>\n

\u91cf\u5b50\u8ba1\u7b97\u4e0e\u7ecf\u5178\u8ba1\u7b97\u6700\u6839\u672c\u7684\u533a\u522b\u5728\u4e8e\u91cf\u5b50\u6bd4\u7279\u6240\u5177\u6709\u7684\u53e0\u52a0\u6001\u548c\u7ea0\u7f20\u6001\u7279\u6027\uff0c\u8fd9\u4e9b\u7279\u6027\u4f7f\u5f97\u91cf\u5b50\u8ba1\u7b97\u673a\u5728\u67d0\u4e9b\u7279\u5b9a\u95ee\u9898\u4e0a\u5177\u6709\u6307\u6570\u7ea7\u7684\u8ba1\u7b97\u4f18\u52bf\u3002\u7136\u800c\uff0c\u91cf\u5b50\u6bd4\u7279\u7684\u91cf\u5b50\u6001\u6781\u6613\u53d7\u5230\u5916\u754c\u73af\u5883\u7684\u5e72\u6270\uff0c\u5bfc\u81f4\u91cf\u5b50\u4fe1\u606f\u53d1\u751f\u9000\u76f8\u5e72\u548c\u9519\u8bef\u3002\u8fd9\u79cd\u8106\u5f31\u6027\u662f\u91cf\u5b50\u8ba1\u7b97\u9762\u4e34\u7684\u6838\u5fc3\u6311\u6218\uff0c\u4e5f\u662f\u5236\u7ea6\u91cf\u5b50\u8ba1\u7b97\u5b9e\u7528\u5316\u7684\u4e3b\u8981\u969c\u788d\u3002\u8981\u7406\u89e3\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u5fc5\u8981\u6027\uff0c\u9996\u5148\u9700\u8981\u6df1\u5165\u5206\u6790\u91cf\u5b50\u8ba1\u7b97\u4e2d\u9519\u8bef\u7684\u6765\u6e90\u548c\u7c7b\u578b\u3002<\/p>\n

\u91cf\u5b50\u9000\u76f8\u5e72\u662f\u91cf\u5b50\u8ba1\u7b97\u4e2d\u6700\u4e3b\u8981\u7684\u9519\u8bef\u6765\u6e90\u3002\u91cf\u5b50\u6bd4\u7279\u4e0e\u5176\u5468\u56f4\u73af\u5883\u4e4b\u95f4\u4e0d\u53ef\u63a7\u5236\u7684\u76f8\u4e92\u4f5c\u7528\u4f1a\u5bfc\u81f4\u91cf\u5b50\u6001\u7684\u76f8\u5e72\u6027\u9010\u6e10\u4e27\u5931\uff0c\u8fd9\u4e00\u8fc7\u7a0b\u79f0\u4e3a\u9000\u76f8\u5e72\u3002\u9000\u76f8\u5e72\u53ef\u4ee5\u7528 T1T_1<\/span><\/span>T<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u95f4\u548c T2T_2<\/span><\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u65f6\u95f4\u6765\u8868\u5f81\uff1aT1T_1<\/span><\/span>T<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u95f4\u63cf\u8ff0\u91cf\u5b50\u6bd4\u7279\u4ece\u6fc0\u53d1\u6001 \u22231\u27e9|1\\\\rangle<\/span><\/span>\u22231<\/span>\u27e9<\/span><\/span><\/span><\/span><\/span> \u56de\u5230\u57fa\u6001 \u22230\u27e9|0\\\\rangle<\/span><\/span>\u22230<\/span>\u27e9<\/span><\/span><\/span><\/span><\/span> \u7684\u80fd\u91cf\u5f1b\u8c6b\u65f6\u95f4\uff0cT2T_2<\/span><\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u95f4\u63cf\u8ff0\u91cf\u5b50\u6bd4\u7279\u76f8\u4f4d\u76f8\u5e72\u6027\u7684\u8870\u51cf\u65f6\u95f4\u3002\u5728\u5b9e\u9645\u91cf\u5b50\u8bbe\u5907\u4e2d\uff0c\u8d85\u5bfc\u91cf\u5b50\u6bd4\u7279\u7684 T1T_1<\/span><\/span>T<\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u95f4\u901a\u5e38\u5728\u51e0\u5341\u5fae\u79d2\u5230\u51e0\u767e\u5fae\u79d2\u4e4b\u95f4\uff0c\u800c T2T_2<\/span><\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u95f4\u5219\u66f4\u77ed\uff0c\u901a\u5e38\u5728\u51e0\u5341\u5fae\u79d2\u4ee5\u5185\u3002\u8fd9\u610f\u5473\u7740\u91cf\u5b50\u6bd4\u7279\u53ea\u80fd\u7ef4\u6301\u5176\u91cf\u5b50\u6001\u77ed\u6682\u7684\u65f6\u95f4\uff0c\u5fc5\u987b\u5728\u8fd9\u4e2a\u65f6\u95f4\u7a97\u53e3\u5185\u5b8c\u6210\u6240\u6709\u7684\u91cf\u5b50\u95e8\u64cd\u4f5c\u548c\u6d4b\u91cf\uff0c\u5426\u5219\u91cf\u5b50\u4fe1\u606f\u5c06\u4f1a\u4e22\u5931\u3002\u9000\u76f8\u5e72\u5bfc\u81f4\u7684\u9519\u8bef\u8868\u73b0\u4e3a\u632f\u5e45\u8870\u51cf\u548c\u76f8\u4f4d\u8870\u51cf\uff0c\u53ef\u4ee5\u7528\u4e3b\u65b9\u7a0b\u6765\u7cbe\u786e\u63cf\u8ff0\uff1a<\/p>\n

d\u03c1dt=\u2212i\u210f[H,\u03c1]+\u2211k(Lk\u03c1Lk\u2020\u221212{
\n Lk\u2020Lk,\u03c1})\\\\frac{d\\\\rho}{dt} = -\\\\frac{i}{\\\\hbar}[H, \\\\rho] + \\\\sum_{k} \\\\left( L_k \\\\rho L_k^\\\\dagger – \\\\frac{1}{2} \\\\{L_k^\\\\dagger L_k, \\\\rho\\\\} \\\\right)<\/span><\/span><\/span><\/span>d<\/span>t<\/span><\/span><\/span><\/span><\/span><\/span><\/span>d<\/span>\u03c1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>\u210f<\/span><\/span><\/span><\/span><\/span><\/span><\/span>i<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>H<\/span>,<\/span><\/span>\u03c1<\/span>]<\/span><\/span>+<\/span><\/span><\/span><\/span><\/span>k<\/span><\/span><\/span><\/span><\/span>\u2211<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>L<\/span><\/span>k<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span>L<\/span><\/span>k<\/span><\/span><\/span><\/span>\u2020<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>{
\n <\/span>L<\/span><\/span>k<\/span><\/span><\/span><\/span>\u2020<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>L<\/span><\/span>k<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span>\u03c1<\/span>}<\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5176\u4e2d LkL_k<\/span><\/span>L<\/span><\/span>k<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u63cf\u8ff0\u73af\u5883\u8026\u5408\u7684\u8df3\u8dc3\u7b97\u7b26\uff0c\u03c1\\\\rho<\/span><\/span>\u03c1<\/span><\/span><\/span><\/span><\/span> \u662f\u91cf\u5b50\u6bd4\u7279\u7cfb\u7edf\u7684\u5bc6\u5ea6\u77e9\u9635\u3002<\/p>\n

\u91cf\u5b50\u95e8\u64cd\u4f5c\u9519\u8bef\u662f\u53e6\u4e00\u7c7b\u91cd\u8981\u7684\u9519\u8bef\u6765\u6e90\u3002\u5728\u5b9e\u9645\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\u6267\u884c\u91cf\u5b50\u95e8\u65f6\uff0c\u7531\u4e8e\u63a7\u5236\u8109\u51b2\u7684\u4e0d\u5b8c\u7f8e\u3001\u6821\u51c6\u8bef\u5dee\u3001\u4ee5\u53ca\u91cf\u5b50\u6bd4\u7279\u4e4b\u95f4\u7684\u4e32\u6270\u7b49\u539f\u56e0\uff0c\u91cf\u5b50\u95e8\u64cd\u4f5c\u65e0\u6cd5\u8fbe\u5230\u7406\u60f3\u7cbe\u5ea6\u3002\u91cf\u5b50\u95e8\u9519\u8bef\u901a\u5e38\u7528\u5e73\u5747\u95e8\u4fdd\u771f\u5ea6\u6765\u8861\u91cf\uff0c\u5f53\u524d\u6700\u5148\u8fdb\u7684\u8d85\u5bfc\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u5355\u6bd4\u7279\u95e8\u4fdd\u771f\u5ea6\u5df2\u7ecf\u8fbe\u5230\u4e86 99.9% \u4ee5\u4e0a\uff0c\u53cc\u6bd4\u7279\u95e8\u4fdd\u771f\u5ea6\u4e5f\u5728 99% \u4ee5\u4e0a\u3002\u7136\u800c\uff0c\u8981\u6267\u884c\u590d\u6742\u7684\u91cf\u5b50\u7b97\u6cd5\u5982 Shor \u7b97\u6cd5\u5206\u89e3\u5927\u6574\u6570\uff0c\u9700\u8981\u6570\u4ee5\u5343\u8ba1\u751a\u81f3\u66f4\u591a\u7684\u91cf\u5b50\u95e8\u64cd\u4f5c\uff0c\u95e8\u9519\u8bef\u7684\u7d2f\u79ef\u6548\u5e94\u5c06\u663e\u8457\u5f71\u54cd\u8ba1\u7b97\u7ed3\u679c\u7684\u53ef\u9760\u6027\u3002\u91cf\u5b50\u95e8\u9519\u8bef\u53ef\u4ee5\u5206\u4e3a\u76f8\u5e72\u9519\u8bef\u548c\u975e\u76f8\u5e72\u9519\u8bef\u4e24\u5927\u7c7b\uff1a\u76f8\u5e72\u9519\u8bef\u8868\u73b0\u4e3a\u5b9e\u9645\u95e8\u64cd\u4f5c\u4e0e\u7406\u60f3\u95e8\u64cd\u4f5c\u4e4b\u95f4\u7684\u504f\u5dee\uff0c\u53ef\u4ee5\u901a\u8fc7\u6539\u8fdb\u8109\u51b2\u5f62\u72b6\u548c\u4f18\u5316\u63a7\u5236\u7b56\u7565\u6765\u51cf\u5c0f\uff1b\u975e\u76f8\u5e72\u9519\u8bef\u5219\u8868\u73b0\u4e3a\u968f\u673a\u8bef\u5dee\uff0c\u4e0e\u70ed\u566a\u58f0\u548c\u7535\u5b50\u566a\u58f0\u6709\u5173\u3002<\/p>\n

\u91cf\u5b50\u6d4b\u91cf\u9519\u8bef\u4e5f\u662f\u4e0d\u53ef\u5ffd\u89c6\u7684\u9519\u8bef\u6765\u6e90\u3002\u91cf\u5b50\u6d4b\u91cf\u7684\u672c\u8d28\u662f\u5c06\u88ab\u6d4b\u91cf\u5b50\u7cfb\u7edf\u6295\u5f71\u5230\u67d0\u4e2a\u8ba1\u7b97\u57fa\u77e2\u4e0a\uff0c\u6d4b\u91cf\u7ed3\u679c\u4ee5\u4e00\u5b9a\u7684\u6982\u7387\u51fa\u73b0\u3002\u5728\u5b9e\u9645\u8bbe\u5907\u4e2d\uff0c\u6d4b\u91cf\u8fc7\u7a0b\u4f1a\u53d7\u5230\u5404\u79cd\u566a\u58f0\u7684\u5e72\u6270\uff0c\u5bfc\u81f4\u6d4b\u91cf\u7ed3\u679c\u7684\u9519\u8bef\u7387\u9ad8\u4e8e\u7406\u60f3\u60c5\u51b5\u3002\u6d4b\u91cf\u9519\u8bef\u53ef\u4ee5\u5206\u4e3a\u4e24\u7c7b\uff1a\u4e00\u79cd\u662f\u201c\u6295\u5c04\u9519\u8bef\u201d\uff0c\u5373\u6d4b\u91cf\u7ed3\u679c\u867d\u7136\u662f\u968f\u673a\u7684\u4f46\u7b26\u5408\u6b63\u786e\u7684\u6982\u7387\u5206\u5e03\uff1b\u53e6\u4e00\u79cd\u662f\u201c\u504f\u7f6e\u9519\u8bef\u201d\uff0c\u5373\u6d4b\u91cf\u7ed3\u679c\u7cfb\u7edf\u6027\u5730\u504f\u5411\u67d0\u4e2a\u7279\u5b9a\u503c\u3002\u6b64\u5916\uff0c\u5f31\u6d4b\u91cf\u548c\u8fde\u7eed\u6d4b\u91cf\u7b49\u7279\u6b8a\u6d4b\u91cf\u6280\u672f\u7684\u5f15\u5165\u4e5f\u5e26\u6765\u4e86\u989d\u5916\u7684\u9519\u8bef\u6765\u6e90\u3002\u5728\u91cf\u5b50\u7ea0\u9519\u8fc7\u7a0b\u4e2d\uff0c\u9700\u8981\u9891\u7e41\u8fdb\u884c stabilizer \u6d4b\u91cf\u6765\u68c0\u6d4b\u9519\u8bef\uff0c\u56e0\u6b64\u6d4b\u91cf\u9519\u8bef\u5bf9\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u6027\u80fd\u6709\u7740\u91cd\u8981\u5f71\u54cd\u3002<\/p>\n

\u9519\u8bef\u7c7b\u578b\u7684\u5f62\u5f0f\u5316\u5206\u7c7b\u6709\u52a9\u4e8e\u8bbe\u8ba1\u9488\u5bf9\u6027\u7684\u7ea0\u9519\u65b9\u6848\u3002\u5728\u91cf\u5b50\u8ba1\u7b97\u4e2d\uff0c\u5355\u91cf\u5b50\u6bd4\u7279\u4e0a\u7684\u4efb\u610f\u9519\u8bef\u90fd\u53ef\u4ee5\u8868\u793a\u4e3a\u6ce1\u5229\u77e9\u9635\u7684\u7ebf\u6027\u7ec4\u5408\uff1a<\/p>\n

E=\u03b1I+\u03b2X+\u03b3Y+\u03b4ZE = \\\\alpha I + \\\\beta X + \\\\gamma Y + \\\\delta Z<\/span><\/span>E<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03b1<\/span>I<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b2X<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b3Y<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b4<\/span>Z<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5176\u4e2d II<\/span><\/span>I<\/span><\/span><\/span><\/span><\/span> \u662f\u6052\u7b49\u7b97\u7b26\uff0cXX<\/span><\/span>X<\/span><\/span><\/span><\/span><\/span>\u3001YY<\/span><\/span>Y<\/span><\/span><\/span><\/span><\/span>\u3001ZZ<\/span><\/span>Z<\/span><\/span><\/span><\/span><\/span> \u662f\u6ce1\u5229\u77e9\u9635\u3002\u76f8\u5e94\u5730\uff0c\u9519\u8bef\u53ef\u4ee5\u5206\u4e3a\u4e09\u7c7b\uff1a\u6bd4\u7279\u7ffb\u8f6c\u9519\u8bef\uff08XX<\/span><\/span>X<\/span><\/span><\/span><\/span><\/span> \u95e8\u4f5c\u7528\uff09\u3001\u76f8\u4f4d\u7ffb\u8f6c\u9519\u8bef\uff08ZZ<\/span><\/span>Z<\/span><\/span><\/span><\/span><\/span> \u95e8\u4f5c\u7528\uff09\u3001\u4ee5\u53ca\u4e24\u8005\u7684\u7ec4\u5408\uff08YY<\/span><\/span>Y<\/span><\/span><\/span><\/span><\/span> \u95e8\u4f5c\u7528\uff09\u3002\u8fd9\u79cd\u5206\u7c7b\u65b9\u6cd5\u7684\u91cd\u8981\u6027\u5728\u4e8e\uff1a\u4e00\u79cd\u91cf\u5b50\u7ea0\u9519\u65b9\u6848\u5982\u679c\u80fd\u591f\u7ea0\u6b63\u6bd4\u7279\u7ffb\u8f6c\u9519\u8bef\u548c\u76f8\u4f4d\u7ffb\u8f6c\u9519\u8bef\uff0c\u90a3\u4e48\u5b83\u5c31\u80fd\u7ea0\u6b63\u4efb\u610f\u5355\u91cf\u5b50\u6bd4\u7279\u9519\u8bef\u3002\u8fd9\u662f\u56e0\u4e3a\u6ce1\u5229\u77e9\u9635\u6784\u6210\u4e86\u4e8c\u7ef4\u590d\u7a7a\u95f4\u7684\u4e00\u7ec4\u5b8c\u5907\u57fa\uff0c\u4efb\u610f\u5355\u6bd4\u7279\u9519\u8bef\u90fd\u53ef\u4ee5\u552f\u4e00\u5730\u5206\u89e3\u4e3a\u8fd9\u4e09\u79cd\u57fa\u672c\u9519\u8bef\u7684\u7ebf\u6027\u7ec4\u5408\u3002<\/p>\n

1.2 \u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u57fa\u672c\u539f\u7406<\/h4>\n

\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u5f15\u5165\u5197\u4f59\u4fe1\u606f\u6765\u5b9e\u73b0\u9519\u8bef\u7684\u68c0\u6d4b\u548c\u7ea0\u6b63\uff0c\u4ece\u800c\u5728\u6709\u566a\u58f0\u7684\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u4e0a\u5b9e\u73b0\u53ef\u9760\u7684\u903b\u8f91\u91cf\u5b50\u8ba1\u7b97\u3002\u8fd9\u4e00\u601d\u60f3\u4e0e\u7ecf\u5178\u8ba1\u7b97\u4e2d\u7684\u5bb9\u9519\u673a\u5236\u6709\u76f8\u4f3c\u4e4b\u5904\uff0c\u4f46\u7531\u4e8e\u91cf\u5b50\u6001\u7684\u7279\u6b8a\u6027\u8d28\uff08\u4e0d\u53ef\u514b\u9686\u3001\u6d4b\u91cf\u4f1a\u7834\u574f\u91cf\u5b50\u6001\uff09\uff0c\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u5b9e\u73b0\u9762\u4e34\u7740\u66f4\u52a0\u590d\u6742\u7684\u6311\u6218\u3002\u6b63\u662f\u8fd9\u4e9b\u72ec\u7279\u7684\u6311\u6218\u50ac\u751f\u4e86\u91cf\u5b50\u7ea0\u9519\u7406\u8bba\u7684\u8bde\u751f\u548c\u53d1\u5c55\uff0c\u4f7f\u5f97\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u6210\u4e3a\u4e00\u4e2a\u72ec\u7acb\u800c\u91cd\u8981\u7684\u7814\u7a76\u9886\u57df\u3002<\/p>\n

\u91cf\u5b50\u4e0d\u53ef\u514b\u9686\u5b9a\u7406\u662f\u7406\u89e3\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u9650\u5236\u7684\u5173\u952e\u3002\u7ecf\u5178\u5bb9\u9519\u65b9\u6848\u901a\u5e38\u91c7\u7528\u201c\u5197\u4f59\u5907\u4efd\u201d\u7684\u7b56\u7565\uff0c\u5373\u901a\u8fc7\u590d\u5236\u591a\u4efd\u4fe1\u606f\u526f\u672c\u5e76\u6bd4\u8f83\u6765\u5b9e\u73b0\u9519\u8bef\u68c0\u6d4b\u3002\u7136\u800c\uff0c\u91cf\u5b50\u4e0d\u53ef\u514b\u9686\u5b9a\u7406\u544a\u8bc9\u6211\u4eec\uff1a\u4e0d\u5b58\u5728\u4e00\u4e2a\u7269\u7406\u8fc7\u7a0b\u80fd\u591f\u590d\u5236\u4efb\u610f\u672a\u77e5\u7684\u91cf\u5b50\u6001\u3002\u8fd9\u610f\u5473\u7740\u4e0d\u80fd\u7b80\u5355\u5730\u7528\u201c\u590d\u5236\u201d\u7684\u65b9\u5f0f\u6765\u521b\u5efa\u91cf\u5b50\u4fe1\u606f\u7684\u5197\u4f59\u526f\u672c\u3002\u91cf\u5b50\u7ea0\u9519\u91c7\u7528\u4e86\u4e00\u79cd\u66f4\u52a0\u5de7\u5999\u7684\u65b9\u6cd5\uff1a\u5c06\u4e00\u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7f16\u7801\u5230\u591a\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u7684\u7ea0\u7f20\u6001\u4e2d\uff0c\u901a\u8fc7\u6d4b\u91cf\u67d0\u4e9b\u7279\u5b9a\u7684\u201c stabilizer \u201d\u6765\u68c0\u6d4b\u9519\u8bef\uff0c\u800c\u4e0d\u4f1a\u76f4\u63a5\u6d4b\u91cf\u6570\u636e\u91cf\u5b50\u6bd4\u7279\u4ece\u800c\u7834\u574f\u5b83\u4eec\u7684\u91cf\u5b50\u6001\u3002\u8fd9\u79cd\u7f16\u7801\u65b9\u5f0f\u867d\u7136\u4e0d\u80fd\u9632\u6b62\u9519\u8bef\u7684\u53d1\u751f\uff0c\u4f46\u53ef\u4ee5\u68c0\u6d4b\u9519\u8bef\u5e76\u5728\u77e5\u9053\u9519\u8bef\u7c7b\u578b\u540e\u8fdb\u884c\u7ea0\u6b63\u3002<\/p>\n

** stabilizer \u673a\u5236**\u662f\u91cf\u5b50\u7ea0\u9519\u7684\u6838\u5fc3\u6280\u672f\u3002stabilizer \u662f\u4e00\u7c7b\u7279\u6b8a\u7684\u53ef\u89c2\u6d4b\u91cf\uff0c\u5b83\u4eec\u4e0e\u7f16\u7801\u540e\u7684\u903b\u8f91\u7b97\u7b26\u5bf9\u6613\uff0c\u56e0\u6b64\u6d4b\u91cf stabilizer \u4e0d\u4f1a\u6539\u53d8\u88ab\u7f16\u7801\u7684\u903b\u8f91\u91cf\u5b50\u6001\uff0c\u4f46\u5374\u80fd\u591f\u68c0\u6d4b\u51fa\u662f\u5426\u53d1\u751f\u4e86\u9519\u8bef\u3002\u5bf9\u4e8e\u4e00\u4e2a [[n,k,d]][[n, k, d]]<\/span><\/span>[[<\/span>n<\/span>,<\/span><\/span>k<\/span>,<\/span><\/span>d<\/span>]]<\/span><\/span><\/span><\/span><\/span> \u7684\u91cf\u5b50\u7ea0\u9519\u7801\uff0c\u5176 stabilizer \u7fa4 S\\\\mathcal{S}<\/span><\/span>S<\/span><\/span><\/span><\/span><\/span> \u662f\u7531 n\u2212kn-k<\/span><\/span>n<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>k<\/span><\/span><\/span><\/span><\/span> \u4e2a\u76f8\u4e92\u5bf9\u6613\u7684\u751f\u6210\u5143\u6784\u6210\u7684\u963f\u8d1d\u5c14\u7fa4\u3002\u7f16\u7801\u7a7a\u95f4\u662f\u6240\u6709 stabilizer \u7684\u516c\u5171\u672c\u5f81\u7a7a\u95f4\uff0c\u5176\u672c\u5f81\u503c\u90fd\u4e3a +1+1<\/span><\/span>+<\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002\u5f53\u67d0\u4e2a\u9519\u8bef EE<\/span><\/span>E<\/span><\/span><\/span><\/span><\/span> \u4f5c\u7528\u5728\u7f16\u7801\u6001\u4e0a\u65f6\uff0c\u9519\u8bef\u4f1a\u6539\u53d8\u67d0\u4e9b stabilizer \u7684\u672c\u5f81\u503c\uff1a<\/p>\n

S\u2223\u03c8\u27e9=+1\u2223\u03c8\u27e9\u21d2ES\u2223\u03c8\u27e9=\u00b1S(E\u2223\u03c8\u27e9)S |\\\\psi\\\\rangle = +1 |\\\\psi\\\\rangle \\\\quad \\\\Rightarrow \\\\quad E S |\\\\psi\\\\rangle = \\\\pm S (E |\\\\psi\\\\rangle)<\/span><\/span>S<\/span>\u2223<\/span>\u03c8<\/span>\u27e9<\/span><\/span>=<\/span><\/span><\/span><\/span>+<\/span>1\u2223<\/span>\u03c8<\/span>\u27e9<\/span><\/span><\/span>\u21d2<\/span><\/span><\/span><\/span><\/span>ES<\/span>\u2223<\/span>\u03c8<\/span>\u27e9<\/span><\/span>=<\/span><\/span><\/span><\/span>\u00b1<\/span>S<\/span>(<\/span>E<\/span>\u2223<\/span>\u03c8<\/span>\u27e9)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5982\u679c\u9519\u8bef EE<\/span><\/span>E<\/span><\/span><\/span><\/span><\/span> \u4e0e stabilizer SS<\/span><\/span>S<\/span><\/span><\/span><\/span><\/span> \u5bf9\u6613\uff0c\u5219 SS<\/span><\/span>S<\/span><\/span><\/span><\/span><\/span> \u7684\u672c\u5f81\u503c\u4fdd\u6301\u4e0d\u53d8\uff1b\u5982\u679c EE<\/span><\/span>E<\/span><\/span><\/span><\/span><\/span> \u4e0e SS<\/span><\/span>S<\/span><\/span><\/span><\/span><\/span> \u53cd\u5bf9\u6613\uff0c\u5219 SS<\/span><\/span>S<\/span><\/span><\/span><\/span><\/span> \u7684\u672c\u5f81\u503c\u53d8\u4e3a \u22121-1<\/span><\/span>\u2212<\/span>1<\/span><\/span><\/span><\/span><\/span>\u3002\u901a\u8fc7\u6d4b\u91cf\u6240\u6709\u7684 stabilizer\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a n\u2212kn-k<\/span><\/span>n<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>k<\/span><\/span><\/span><\/span><\/span> \u4f4d\u7684\u4e8c\u8fdb\u5236\u5411\u91cf\uff0c\u79f0\u4e3a\u9519\u8bef\u75c7\u72b6\uff08error syndrome\uff09\u3002\u9519\u8bef\u75c7\u72b6\u7f16\u7801\u4e86\u5173\u4e8e\u9519\u8bef\u4f4d\u7f6e\u548c\u7c7b\u578b\u7684\u4fe1\u606f\uff0c\u636e\u6b64\u53ef\u4ee5\u63a8\u65ad\u51fa\u6700\u53ef\u80fd\u53d1\u751f\u7684\u9519\u8bef\u5e76\u8fdb\u884c\u7ea0\u6b63\u3002<\/p>\n

\u5bb9\u9519\u9608\u503c\u7684\u6982\u5ff5\u662f\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7406\u8bba\u7684\u6838\u5fc3\u3002\u9608\u503c\u5b9a\u7406\u6307\u51fa\uff1a\u5b58\u5728\u4e00\u4e2a\u4e34\u754c\u9519\u8bef\u7387 pthp_th<\/span><\/span>p<\/span><\/span>t<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>h<\/span><\/span><\/span><\/span><\/span>\uff0c\u5f53\u7269\u7406\u9519\u8bef\u7387 pp<\/span><\/span>p<\/span><\/span><\/span><\/span><\/span> \u4f4e\u4e8e\u8fd9\u4e2a\u9608\u503c\u65f6\uff0c\u901a\u8fc7\u4f7f\u7528\u8db3\u591f\u5927\u7684\u91cf\u5b50\u7ea0\u9519\u7801\u548c\u8db3\u591f\u590d\u6742\u7684\u7ea0\u9519\u65b9\u6848\uff0c\u53ef\u4ee5\u5c06\u903b\u8f91\u9519\u8bef\u7387\u6291\u5236\u5230\u4efb\u610f\u4f4e\u7684\u6c34\u5e73\u3002\u7528\u6570\u5b66\u8bed\u8a00\u8868\u8fbe\uff0c\u903b\u8f91\u9519\u8bef\u7387\u6ee1\u8db3\uff1a<\/p>\n

pL\u2248c(ppth)d\/2p_L \\\\approx c \\\\left( \\\\frac{p}{p_{th}} \\\\right)^{d\/2}<\/span><\/span>p<\/span><\/span>L<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span><\/span><\/span>c<\/span><\/span>(<\/span><\/span><\/span><\/span>p<\/span><\/span>t<\/span>h<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>p<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span>d<\/span>\/2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5176\u4e2d cc<\/span><\/span>c<\/span><\/span><\/span><\/span><\/span> \u662f\u4e00\u4e2a\u5e38\u6570\uff0cdd<\/span><\/span>d<\/span><\/span><\/span><\/span><\/span> \u662f\u91cf\u5b50\u7ea0\u9519\u7801\u7684\u7801\u8ddd\u3002\u7801\u8ddd dd<\/span><\/span>d<\/span><\/span><\/span><\/span><\/span> \u5b9a\u4e49\u4e3a\u80fd\u591f\u533a\u5206\u4e24\u79cd\u903b\u8f91\u6001\u6240\u9700\u7684\u6700\u5c0f\u9519\u8bef\u6570\u3002\u4ece\u8fd9\u4e2a\u516c\u5f0f\u53ef\u4ee5\u770b\u51fa\uff0c\u5f53 p<pthp < p_{th}<\/span><\/span>p<\/span><\/span><<\/span><\/span><\/span><\/span>p<\/span><\/span>t<\/span>h<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\uff0c\u589e\u52a0\u7801\u8ddd dd<\/span><\/span>d<\/span><\/span><\/span><\/span><\/span> \u53ef\u4ee5\u6307\u6570\u7ea7\u5730\u964d\u4f4e\u903b\u8f91\u9519\u8bef\u7387\uff1b\u5f53 p>pthp > p_{th}<\/span><\/span>p<\/span><\/span>><\/span><\/span><\/span><\/span>p<\/span><\/span>t<\/span>h<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\uff0c\u903b\u8f91\u9519\u8bef\u7387\u53cd\u800c\u4f1a\u968f\u7740\u7801\u8ddd\u589e\u52a0\u800c\u589e\u52a0\uff0c\u8fd9\u662f\u56e0\u4e3a\u66f4\u5927\u7684\u7801\u8ddd\u610f\u5473\u7740\u66f4\u590d\u6742\u7684\u7ea0\u9519\u8fc7\u7a0b\uff0c\u5f15\u5165\u7684\u9519\u8bef\u8d85\u8fc7\u4e86\u7ea0\u9519\u80fd\u591f\u7ea0\u6b63\u7684\u6570\u91cf\u3002\u9608\u503c\u5b9a\u7406\u7684\u8bc1\u660e\u4f9d\u8d56\u4e8e\u201c\u7ea7\u8054\u7ea0\u9519\u201d\u7684\u601d\u60f3\uff1a\u901a\u8fc7\u9012\u5f52\u5730\u4f7f\u7528\u91cf\u5b50\u7ea0\u9519\u7801\u6765\u4fdd\u62a4\u4e0a\u4e00\u7ea7\u7684\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\uff0c\u53ef\u4ee5\u5b9e\u73b0\u4efb\u610f\u7cbe\u5ea6\u7684\u91cf\u5b50\u8ba1\u7b97\u3002<\/p>\n

1.3 \u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u53d1\u5c55\u5386\u7a0b<\/h4>\n

\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u7406\u8bba\u4ece\u63d0\u51fa\u5230\u53d1\u5c55\u7ecf\u5386\u4e86\u6f2b\u957f\u7684\u8fc7\u7a0b\uff0c\u6bcf\u4e00\u9636\u6bb5\u7684\u91cd\u8981\u8fdb\u5c55\u90fd\u4e3a\u540e\u6765\u7684\u7814\u7a76\u5960\u5b9a\u4e86\u57fa\u7840\u3002\u56de\u987e\u8fd9\u6bb5\u5386\u53f2\u4e0d\u4ec5\u6709\u52a9\u4e8e\u7406\u89e3\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u7406\u8bba\u6846\u67b6\uff0c\u4e5f\u80fd\u591f\u628a\u63e1\u8be5\u9886\u57df\u7684\u53d1\u5c55\u8109\u7edc\u548c\u672a\u6765\u65b9\u5411\u3002<\/p>\n

\u91cf\u5b50\u7ea0\u9519\u7684\u8bde\u751f\u53ef\u4ee5\u8ffd\u6eaf\u5230 1995 \u5e74 Peter Shor \u7684\u5f00\u521b\u6027\u5de5\u4f5c\u3002\u5728 Shor \u53d1\u8868\u5728\u300aPhysical Review Letters\u300b\u4e0a\u7684\u8457\u540d\u8bba\u6587\u4e2d\uff0c\u4ed6\u63d0\u51fa\u4e86\u4e00\u79cd\u4f7f\u7528 9 \u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u7f16\u7801 1 \u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7684\u65b9\u6848\uff0c\u8fd9\u5c31\u662f\u540e\u6765\u8457\u540d\u7684 Shor \u7801\u3002Shor \u7801\u80fd\u591f\u68c0\u6d4b\u548c\u7ea0\u6b63\u4efb\u610f\u5355\u91cf\u5b50\u6bd4\u7279\u9519\u8bef\uff0c\u8fd9\u4e00\u7a81\u7834\u6027\u5de5\u4f5c\u8bc1\u660e\u4e86\u91cf\u5b50\u4fe1\u606f\u53ef\u4ee5\u88ab\u6709\u6548\u4fdd\u62a4\uff0c\u5960\u5b9a\u4e86\u91cf\u5b50\u7ea0\u9519\u7406\u8bba\u7684\u57fa\u7840\u3002\u51e0\u4e4e\u4e0e\u6b64\u540c\u65f6\uff0cAndrew Steane \u63d0\u51fa\u4e86\u53e6\u4e00\u79cd\u91cd\u8981\u7684\u91cf\u5b50\u7ea0\u9519\u7801\u2014\u2014Steane \u7801\uff0c\u8be5\u7801\u4f7f\u7528 7 \u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\uff0c\u5177\u6709\u66f4\u9ad8\u7684\u7f16\u7801\u6548\u7387\u3002Calderbank \u548c Shor \u8fdb\u4e00\u6b65\u63d0\u51fa\u4e86 CSS \u6784\u9020\u65b9\u6cd5\uff0c\u4ece\u4e24\u4e2a\u7ecf\u5178\u7ebf\u6027\u7801\u6784\u9020\u91cf\u5b50\u7ea0\u9519\u7801\uff0c\u8fd9\u4f7f\u5f97\u4e30\u5bcc\u7684\u7ecf\u5178\u7ea0\u9519\u7406\u8bba\u8d44\u6e90\u53ef\u4ee5\u88ab\u5f15\u5165\u91cf\u5b50\u9886\u57df\u3002<\/p>\n

\u5bb9\u9519\u9608\u503c\u7684\u4e25\u683c\u8bc1\u660e\u662f\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7406\u8bba\u6210\u719f\u7684\u91cd\u8981\u6807\u5fd7\u30021996 \u5e74\uff0cAharonov \u548c Ben-Or \u8bc1\u660e\u4e86\u5728\u67d0\u4e9b\u5047\u8bbe\u6761\u4ef6\u4e0b\uff0c\u5bb9\u9519\u9608\u503c\u786e\u5b9e\u5b58\u5728\u30021997 \u5e74\uff0cKitaev \u63d0\u51fa\u4e86\u57fa\u4e8e\u4efb\u610f\u5b50\uff08anyon\uff09\u7684\u62d3\u6251\u91cf\u5b50\u8ba1\u7b97\u6846\u67b6\uff0c\u8be5\u6846\u67b6\u5177\u6709\u5185\u5728\u7684\u5bb9\u9519\u7279\u6027\u3002\u540c\u5e74\uff0cFowler \u7b49\u4eba\u8be6\u7ec6\u5206\u6790\u4e86\u8868\u9762\u7801\uff08Surface Code\uff09\u7684\u5b9e\u73b0\u65b9\u6848\uff0c\u8bc1\u660e\u4e86\u8868\u9762\u7801\u53ef\u4ee5\u8fbe\u5230\u7ea6 1% \u7684\u9608\u503c\uff0c\u8fd9\u662f\u5f53\u65f6\u5df2\u77e5\u91cf\u5b50\u7ea0\u9519\u7801\u4e2d\u6700\u9ad8\u7684\u9608\u503c\u4e4b\u4e00\u3002\u6b64\u540e\uff0c\u5404\u79cd\u6539\u8fdb\u7684\u8bd1\u7801\u7b97\u6cd5\u548c\u7ea0\u9519\u65b9\u6848\u4e0d\u65ad\u88ab\u63d0\u51fa\uff0c\u5bb9\u9519\u9608\u503c\u5b9a\u7406\u7684\u7406\u8bba\u57fa\u7840\u4e5f\u65e5\u8d8b\u5b8c\u5584\u3002<\/p>\n

\u5b9e\u9a8c\u9a8c\u8bc1\u7684\u8fdb\u5c55\u662f\u8fd1\u5e74\u6765\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u9886\u57df\u6700\u6fc0\u52a8\u4eba\u5fc3\u7684\u53d1\u5c55\u30022019 \u5e74\uff0cGoogle \u91cf\u5b50\u4eba\u5de5\u667a\u80fd\u56e2\u961f\u5728 Sycamore \u5904\u7406\u5668\u4e0a\u9996\u6b21\u5c55\u793a\u4e86\u201c\u91cf\u5b50\u9738\u6743\u201d\uff0c\u8bc1\u660e\u4e86\u91cf\u5b50\u8ba1\u7b97\u673a\u5728\u7279\u5b9a\u4efb\u52a1\u4e0a\u8d85\u8d8a\u7ecf\u5178\u8ba1\u7b97\u673a\u7684\u80fd\u529b\u3002\u968f\u540e\uff0cGoogle\u3001IBM\u3001\u4ee5\u53ca\u5176\u4ed6\u7814\u7a76\u56e2\u961f\u76f8\u7ee7\u5728\u91cf\u5b50\u7ea0\u9519\u5b9e\u9a8c\u65b9\u9762\u53d6\u5f97\u7a81\u7834\uff1a\u5b9e\u73b0\u4e86 Shor \u7801\u548c Steane \u7801\u7684\u539f\u7406\u6027\u9a8c\u8bc1\u3001\u5c55\u793a\u4e86\u8868\u9762\u7801\u7684\u57fa\u672c\u529f\u80fd\u3001\u5b9e\u73b0\u4e86\u91cd\u590d\u9519\u8bef\u68c0\u6d4b\u548c\u7ea0\u6b63\u5faa\u73af\u3002\u8fd9\u4e9b\u5b9e\u9a8c\u867d\u7136\u5c1a\u672a\u8fbe\u5230\u5b9e\u7528\u5316\u6c34\u5e73\uff0c\u4f46\u8bc1\u660e\u4e86\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u539f\u7406\u7684\u53ef\u884c\u6027\uff0c\u4e3a\u672a\u6765\u7684\u5927\u89c4\u6a21\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u94fa\u5e73\u4e86\u9053\u8def\u3002<\/p>\n

\n

\u7b2c\u4e8c\u7ae0 \u903b\u8f91\u91cf\u5b50\u95e8\u7684\u5b9e\u73b0<\/h3>\n

2.1 \u903b\u8f91\u95e8\u7684\u57fa\u672c\u6982\u5ff5\u4e0e\u5206\u7c7b<\/h4>\n

\u5728\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u4e2d\uff0c\u903b\u8f91\u91cf\u5b50\u95e8\u662f\u4f5c\u7528\u4e8e\u7f16\u7801\u540e\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u4e0a\u7684\u91cf\u5b50\u95e8\u64cd\u4f5c\uff0c\u5b83\u662f\u5b9e\u73b0\u901a\u7528\u91cf\u5b50\u8ba1\u7b97\u7684\u57fa\u672c\u5355\u5143\u3002\u4e0e\u7269\u7406\u91cf\u5b50\u95e8\u76f4\u63a5\u4f5c\u7528\u5728\u5355\u4e2a\u91cf\u5b50\u6bd4\u7279\u4e0a\u4e0d\u540c\uff0c\u903b\u8f91\u91cf\u5b50\u95e8\u9700\u8981\u901a\u8fc7\u4e00\u7cfb\u5217\u7269\u7406\u91cf\u5b50\u95e8\u548c\u6d4b\u91cf\u64cd\u4f5c\u6765\u5b9e\u73b0\uff0c\u540c\u65f6\u4fdd\u8bc1\u5728\u53d1\u751f\u9519\u8bef\u65f6\u4ecd\u7136\u80fd\u591f\u6b63\u786e\u6267\u884c\u3002\u903b\u8f91\u95e8\u7684\u5b9e\u73b0\u662f\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u4e2d\u6700\u5177\u6311\u6218\u6027\u7684\u90e8\u5206\u4e4b\u4e00\uff0c\u4e5f\u662f\u5f53\u524d\u6d3b\u8dc3\u7684\u7814\u7a76\u9886\u57df\u3002<\/p>\n

\u903b\u8f91\u95e8\u7684\u5206\u7c7b\u53ef\u4ee5\u6839\u636e\u591a\u79cd\u6807\u51c6\u8fdb\u884c\u5212\u5206\u3002\u6839\u636e\u95e8\u662f\u5426\u6539\u53d8\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7684\u8ba1\u7b97\u57fa\u77e2\uff0c\u53ef\u4ee5\u5206\u4e3a\u4e24\u7c7b\uff1a Clifford \u95e8\u548c\u975e Clifford \u95e8\u3002Clifford \u95e8\u5305\u62ec Hadamard \u95e8\uff08H\uff09\u3001\u76f8\u4f4d\u95e8\uff08S \u6216 P\uff09\u3001CNOT \u95e8\u7b49\uff0c\u8fd9\u4e9b\u95e8\u6784\u6210\u4e86 Clifford \u7fa4\uff0c\u53ef\u4ee5\u7528\u6ce1\u5229\u77e9\u9635\u548c\u56db\u5143\u6570\u6765\u63cf\u8ff0\u3002\u975e Clifford \u95e8\u6700\u5177\u4ee3\u8868\u6027\u7684\u662f T \u95e8\uff08\u5373 \u03c0\/8\\\\pi\/8<\/span><\/span>\u03c0<\/span>\/8<\/span><\/span><\/span><\/span><\/span> \u76f8\u4f4d\u95e8\uff09\uff0c\u5b83\u65e0\u6cd5\u7528 Clifford \u7fa4\u751f\u6210\uff0c\u4f46\u5bf9\u4e8e\u901a\u7528\u91cf\u5b50\u8ba1\u7b97\u5374\u662f\u5fc5\u4e0d\u53ef\u5c11\u7684\u3002\u6839\u636e\u903b\u8f91\u95e8\u4f5c\u7528\u4e8e\u91cf\u5b50\u6bd4\u7279\u7684\u6570\u76ee\uff0c\u53ef\u4ee5\u5206\u4e3a\u5355\u6bd4\u7279\u903b\u8f91\u95e8\u3001\u53cc\u6bd4\u7279\u903b\u8f91\u95e8\u548c\u591a\u6bd4\u7279\u903b\u8f91\u95e8\u3002\u6839\u636e\u5b9e\u73b0\u65b9\u5f0f\uff0c\u903b\u8f91\u95e8\u53ef\u4ee5\u5206\u4e3a\u6a2a\u5411\u95e8\uff08transversal gate\uff09\u3001\u7194\u5408\u95e8\uff08fusing gate\uff09\u548c\u79fb\u52a8\u95e8\uff08moving gate\uff09\u7b49\u3002<\/p>\n

\u6a2a\u5411\u95e8\u662f\u5b9e\u73b0\u903b\u8f91\u95e8\u6700\u76f4\u63a5\u7684\u65b9\u6cd5\u3002\u6a2a\u5411\u95e8\u662f\u6307\u5bf9\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7684\u6bcf\u4e00\u4e2a\u7269\u7406\u526f\u672c\uff08\u6216\u8005\u8bf4\u6bcf\u4e00\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\uff09\u5206\u522b\u5e94\u7528\u76f8\u540c\u7684\u7269\u7406\u95e8\u64cd\u4f5c\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u4e00\u4e2a\u4f7f\u7528\u4e09\u91cf\u5b50\u6bd4\u7279\u91cd\u590d\u7801\u7f16\u7801\u7684\u903b\u8f91\u91cf\u5b50\u6bd4\u7279 \u2223\u03c8L\u27e9=\u03b1\u2223000\u27e9+\u03b2\u2223111\u27e9|\\\\psi_L\\\\rangle = \\\\alpha |000\\\\rangle + \\\\beta |111\\\\rangle<\/span><\/span>\u2223<\/span>\u03c8<\/span><\/span>L<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u27e9<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03b1<\/span>\u2223000<\/span>\u27e9<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b2<\/span>\u2223111<\/span>\u27e9<\/span><\/span><\/span><\/span><\/span>\uff0c\u6a2a\u5411 Hadamard \u95e8\u901a\u8fc7\u5bf9\u4e09\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u90fd\u5e94\u7528 Hadamard \u95e8\u6765\u5b9e\u73b0\uff1a<\/p>\n

H\u22973(\u03b1\u2223000\u27e9+\u03b2\u2223111\u27e9)=\u03b1\u2223+++\u27e9+\u03b2\u2223\u2212\u2212\u2212\u27e9H^{\\\\otimes 3} (\\\\alpha |000\\\\rangle + \\\\beta |111\\\\rangle) = \\\\alpha |+++\\\\rangle + \\\\beta |—\\\\rangle<\/span><\/span>H<\/span><\/span>\u2297<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u03b1<\/span>\u2223000<\/span>\u27e9<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b2<\/span>\u2223111<\/span>\u27e9)<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03b1<\/span>\u2223<\/span><\/span>+<\/span><\/span><\/span><\/span>+<\/span>+<\/span>\u27e9<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b2<\/span>\u2223<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u2212<\/span>\u2212<\/span>\u27e9<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u5176\u4e2d \u2223+\u27e9=(\u22230\u27e9+\u22231\u27e9)\/2|+\\\\rangle = (|0\\\\rangle + |1\\\\rangle)\/\\\\sqrt{2}<\/span><\/span>\u2223<\/span>+<\/span>\u27e9<\/span><\/span>=<\/span><\/span><\/span><\/span>(<\/span>\u22230<\/span>\u27e9<\/span><\/span>+<\/span><\/span><\/span><\/span>\u22231<\/span>\u27e9)<\/span>\/<\/span><\/span>2<\/span><\/span><\/span><\/span> <\/p>\n

<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\uff0c\u2223\u2212\u27e9=(\u22230\u27e9\u2212\u22231\u27e9)\/2|-\\\\rangle = (|0\\\\rangle – |1\\\\rangle)\/\\\\sqrt{2}<\/span><\/span>\u2223<\/span>\u2212<\/span>\u27e9<\/span><\/span>=<\/span><\/span><\/span><\/span>(<\/span>\u22230<\/span>\u27e9<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u22231<\/span>\u27e9)<\/span>\/<\/span><\/span>2<\/span><\/span><\/span><\/span> <\/p>\n

<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u6a2a\u5411\u95e8\u7684\u4f18\u70b9\u662f\u5b9e\u73b0\u7b80\u5355\uff0c\u4e0d\u9700\u8981\u989d\u5916\u7684\u8f85\u52a9\u8d44\u6e90\uff1b\u5176\u7f3a\u70b9\u662f\u5e76\u975e\u6240\u6709\u903b\u8f91\u95e8\u90fd\u53ef\u4ee5\u7528\u6a2a\u5411\u65b9\u5f0f\u5b9e\u73b0\uff0c\u800c\u4e14\u5bf9\u4e8e\u67d0\u4e9b\u7801\uff08\u5982\u8868\u9762\u7801\uff09\uff0c\u6a2a\u5411\u95e8\u53ef\u80fd\u65e0\u6cd5\u4fdd\u6301\u7f16\u7801\u7a7a\u95f4\u7684\u5b8c\u6574\u6027\u3002<\/p>\n

import<\/span> numpy as<\/span> np
\nfrom<\/span> qiskit import<\/span> QuantumCircuit,<\/span> QuantumRegister,<\/span> ClassicalRegister
\nfrom<\/span> typing import<\/span> List,<\/span> Tuple,<\/span> Optional<\/p>\n

class<\/span> FaultTolerantGates<\/span>:<\/span>
\n \\”\\”\\”
\n \u5bb9\u9519\u903b\u8f91\u95e8\u5b9e\u73b0\u7c7b<\/p>\n

\u63d0\u4f9b\u5404\u79cd\u5bb9\u9519\u903b\u8f91\u95e8\u7684\u5b9e\u73b0\u65b9\u6848
\n \\”\\”\\”<\/span><\/p>\n

def<\/span> __init__<\/span>(<\/span>self,<\/span> code_type:<\/span> str<\/span> =<\/span> \\’surface\\’<\/span>,<\/span> L:<\/span> int<\/span> =<\/span> 3<\/span>)<\/span>:<\/span>
\n \\”\\”\\”
\n \u521d\u59cb\u5316\u5bb9\u9519\u903b\u8f91\u95e8<\/p>\n

Args:
\n code_type: \u7ea0\u9519\u7801\u7c7b\u578b (\\’surface\\’, \\’steane\\’, \\’shor\\’)
\n L: \u6676\u683c\u5c3a\u5bf8\uff08\u9488\u5bf9\u8868\u9762\u7801\uff09
\n \\”\\”\\”<\/span>
\n self.<\/span>code_type =<\/span> code_type
\n self.<\/span>L =<\/span> L<\/p>\n

# \u6839\u636e\u7801\u7c7b\u578b\u8bbe\u7f6e\u53c2\u6570<\/span>
\n if<\/span> code_type ==<\/span> \\’surface\\’<\/span>:<\/span>
\n self.<\/span>num_physical_qubits =<\/span> L *<\/span> L
\n self.<\/span>code_distance =<\/span> 2<\/span> *<\/span> L +<\/span> 1<\/span>
\n elif<\/span> code_type ==<\/span> \\’steane\\’<\/span>:<\/span>
\n self.<\/span>num_physical_qubits =<\/span> 7<\/span>
\n self.<\/span>code_distance =<\/span> 3<\/span>
\n elif<\/span> code_type ==<\/span> \\’shor\\’<\/span>:<\/span>
\n self.<\/span>num_physical_qubits =<\/span> 9<\/span>
\n self.<\/span>code_distance =<\/span> 3<\/span>
\n else<\/span>:<\/span>
\n raise<\/span> ValueError(<\/span>f\\”Unknown code type: <\/span>{<\/p>\n

<\/span>code_type}<\/span><\/span>\\”<\/span><\/span>)<\/span><\/p>\n

def<\/span> transversal_hadamard<\/span>(<\/span>self)<\/span> –<\/span>><\/span> QuantumCircuit:<\/span>
\n \\”\\”\\”
\n \u6a2a\u5411 Hadamard \u95e8\u5b9e\u73b0<\/p>\n

\u5bf9\u6240\u6709\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u5e94\u7528 Hadamard \u95e8<\/p>\n

Returns:
\n \u6a2a\u5411 Hadamard \u95e8\u7535\u8def
\n \\”\\”\\”<\/span>
\n qr =<\/span> QuantumRegister(<\/span>self.<\/span>num_physical_qubits,<\/span> \\’q\\’<\/span>)<\/span>
\n qc =<\/span> QuantumCircuit(<\/span>qr,<\/span> name=<\/span>\\’H_L\\’<\/span>)<\/span><\/p>\n

# \u5bf9\u6bcf\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u5e94\u7528 Hadamard \u95e8<\/span>
\n for<\/span> i in<\/span> range<\/span>(<\/span>self.<\/span>num_physical_qubits)<\/span>:<\/span>
\n qc.<\/span>h(<\/span>i)<\/span><\/p>\n

return<\/span> qc<\/p>\n

def<\/span> transversal_phase<\/span>(<\/span>self)<\/span> –<\/span>><\/span> QuantumCircuit:<\/span>
\n \\”\\”\\”
\n \u6a2a\u5411\u76f8\u4f4d\u95e8\u5b9e\u73b0<\/p>\n

Returns:
\n \u6a2a\u5411\u76f8\u4f4d\u95e8\u7535\u8def
\n \\”\\”\\”<\/span>
\n qr =<\/span> QuantumRegister(<\/span>self.<\/span>num_physical_qubits,<\/span> \\’q\\’<\/span>)<\/span>
\n qc =<\/span> QuantumCircuit(<\/span>qr,<\/span> name=<\/span>\\’S_L\\’<\/span>)<\/span><\/p>\n

# \u5bf9\u6bcf\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u5e94\u7528\u76f8\u4f4d\u95e8<\/span>
\n for<\/span> i in<\/span> range<\/span>(<\/span>self.<\/span>num_physical_qubits)<\/span>:<\/span>
\n qc.<\/span>s(<\/span>i)<\/span><\/p>\n

return<\/span> qc<\/p>\n

def<\/span> transversal_cnot<\/span>(<\/span>self)<\/span> –<\/span>><\/span> QuantumCircuit:<\/span>
\n \\”\\”\\”
\n \u6a2a\u5411 CNOT \u95e8\u5b9e\u73b0<\/p>\n

\u5047\u8bbe\u6709\u4e24\u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\uff0c\u6bcf\u4e2a\u5360\u7528 num_physical_qubits \u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279<\/p>\n

Returns:
\n \u6a2a\u5411 CNOT \u95e8\u7535\u8def
\n \\”\\”\\”<\/span>
\n total_qubits =<\/span> self.<\/span>num_physical_qubits *<\/span> 2<\/span>
\n qr =<\/span> QuantumRegister(<\/span>total_qubits,<\/span> \\’q\\’<\/span>)<\/span>
\n qc =<\/span> QuantumCircuit(<\/span>qr,<\/span> name=<\/span>\\’CNOT_L\\’<\/span>)<\/span><\/p>\n

# \u7b2c\u4e00\u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7684\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u7d22\u5f15\u8303\u56f4<\/span>
\n control_range =<\/span> range<\/span>(<\/span>self.<\/span>num_physical_qubits)<\/span>
\n # \u7b2c\u4e8c\u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7684\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u7d22\u5f15\u8303\u56f4<\/span>
\n target_range =<\/span> range<\/span>(<\/span>self.<\/span>num_physical_qubits,<\/span> total_qubits)<\/span><\/p>\n

# \u6a2a\u5411 CNOT\uff1a\u63a7\u5236\u903b\u8f91\u6bd4\u7279\u7684\u6bcf\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279<\/span>
\n # \u9a71\u52a8\u76ee\u6807\u903b\u8f91\u6bd4\u7279\u7684\u76f8\u5e94\u7269\u7406\u91cf\u5b50\u6bd4\u7279<\/span>
\n for<\/span> control,<\/span> target in<\/span> zip<\/span>(<\/span>control_range,<\/span> target_range)<\/span>:<\/span>
\n qc.<\/span>cx(<\/span>control,<\/span> target)<\/span><\/p>\n

return<\/span> qc<\/p>\n

def<\/span> create_t_gate_teleportation<\/span>(<\/span>self)<\/span> –<\/span>><\/span> QuantumCircuit:<\/span>
\n \\”\\”\\”
\n T \u95e8\u7684\u5bb9\u9519\u5b9e\u73b0\uff08\u57fa\u4e8e\u91cf\u5b50\u95e8 teleportation\uff09<\/p>\n

T \u95e8\u662f\u975e Clifford \u95e8\uff0c\u65e0\u6cd5\u7528\u6a2a\u5411\u65b9\u5f0f\u5b9e\u73b0\u3002
\n \u8fd9\u91cc\u4f7f\u7528\u57fa\u4e8e\u6d4b\u91cf\u7684 T \u95e8\u5b9e\u73b0\u65b9\u6848\u3002<\/p>\n

Returns:
\n T \u95e8\u7535\u8def
\n \\”\\”\\”<\/span>
\n # \u9700\u8981\u4e24\u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279 + \u4e00\u4e2a\u8f85\u52a9\u91cf\u5b50\u6bd4\u7279<\/span>
\n data_qubits =<\/span> self.<\/span>num_physical_qubits
\n ancilla_qubits =<\/span> 1<\/span><\/p>\n

qr_data =<\/span> QuantumRegister(<\/span>data_qubits,<\/span> \\’data\\’<\/span>)<\/span>
\n qr_ancilla =<\/span> QuantumRegister(<\/span>ancilla_qubits,<\/span> \\’ancilla\\’<\/span>)<\/span>
\n cr =<\/span> ClassicalRegister(<\/span>1<\/span>,<\/span> \\’result\\’<\/span>)<\/span><\/p>\n

qc =<\/span> QuantumCircuit(<\/span>qr_data,<\/span> qr_ancilla,<\/span> cr,<\/span> name=<\/span>\\’T_gate\\’<\/span>)<\/span><\/p>\n

# \u6b65\u9aa4 1: \u51c6\u5907\u8f85\u52a9\u6001 |A> = T|+><\/span>
\n # |A> = (|0> + e^{i\u03c0\/4}|1>)\/\u221a2<\/span>
\n qc.<\/span>h(<\/span>0<\/span>)<\/span> # \u8f85\u52a9\u91cf\u5b50\u6bd4\u7279<\/span>
\n qc.<\/span>t(<\/span>0<\/span>)<\/span> # \u5e94\u7528 T \u95e8<\/span><\/p>\n

# \u6b65\u9aa4 2: \u6267\u884c CNOT \u4ece\u6570\u636e\u91cf\u5b50\u6bd4\u7279\u5230\u8f85\u52a9\u91cf\u5b50\u6bd4\u7279<\/span>
\n # \u4f7f\u7528\u7b2c\u4e00\u4e2a\u6570\u636e\u91cf\u5b50\u6bd4\u7279\u4f5c\u4e3a\u63a7\u5236<\/span>
\n qc.<\/span>cx(<\/span>data_qubits,<\/span> 0<\/span>)<\/span><\/p>\n

# \u6b65\u9aa4 3: \u6d4b\u91cf\u8f85\u52a9\u91cf\u5b50\u6bd4\u7279<\/span>
\n qc.<\/span>measure(<\/span>0<\/span>,<\/span> cr[<\/span>0<\/span>]<\/span>)<\/span><\/p>\n

# \u6b65\u9aa4 4: \u6839\u636e\u6d4b\u91cf\u7ed3\u679c\u5e94\u7528\u7ea0\u6b63\u64cd\u4f5c<\/span>
\n # \u5982\u679c\u6d4b\u91cf\u7ed3\u679c\u4e3a |1>\uff0c\u5e94\u7528 S^\\\\dagger \u95e8<\/span>
\n # \u8fd9\u9700\u8981\u6761\u4ef6\u903b\u8f91\uff0c\u5728\u5b9e\u9645\u5b9e\u73b0\u4e2d\u9700\u8981\u989d\u5916\u7684\u5904\u7406<\/span><\/p>\n

return<\/span> qc<\/p>\n

def<\/span> surface_code_logical_hadamard<\/span>(<\/span>self)<\/span> –<\/span>><\/span> QuantumCircuit:<\/span>
\n \\”\\”\\”
\n \u8868\u9762\u7801\u4e0a\u7684\u903b\u8f91 Hadamard \u95e8\u5b9e\u73b0<\/p>\n

\u8868\u9762\u7801\u7684\u903b\u8f91 Hadamard \u95e8\u9700\u8981\u66f4\u590d\u6742\u7684\u64cd\u4f5c\uff1a
\n – \u4f7f\u7528\u6676\u683c\u7194\u5408\u64cd\u4f5c
\n – \u6216\u901a\u8fc7\u6539\u53d8\u8fb9\u754c\u6761\u4ef6\u5b9e\u73b0<\/p>\n

Returns:
\n \u8868\u9762\u7801\u903b\u8f91 Hadamard \u95e8\u7535\u8def
\n \\”\\”\\”<\/span>
\n # \u8868\u9762\u7801\u903b\u8f91 Hadamard \u95e8\u7684\u5b9e\u73b0\u9700\u8981\u5b8c\u6574\u7684\u6676\u683c\u64cd\u4f5c<\/span>
\n # \u8fd9\u91cc\u63d0\u4f9b\u4e00\u4e2a\u7b80\u5316\u7684\u6846\u67b6<\/span>
\n n_qubits =<\/span>self.<\/span>L *<\/span> self.<\/span>L<\/p>\n

qr =<\/span> QuantumRegister(<\/span>n_qubits,<\/span> \\’q\\’<\/span>)<\/span>
\n qc =<\/span> QuantumCircuit(<\/span>qr,<\/span> name=<\/span>\\’H_L_surface\\’<\/span>)<\/span><\/p>\n

# \u7b80\u5316\u7684\u5b9e\u73b0\uff1a\u5bf9\u6240\u6709\u91cf\u5b50\u6bd4\u7279\u5e94\u7528 H \u95e8<\/span>
\n # \u7136\u540e\u6dfb\u52a0\u4e00\u4e9b\u989d\u5916\u7684\u64cd\u4f5c\u6765\u4fdd\u6301\u903b\u8f91\u4e00\u81f4\u6027<\/span>
\n for<\/span> i in<\/span> range<\/span>(<\/span>n_qubits)<\/span>:<\/span>
\n qc.<\/span>h(<\/span>i)<\/span><\/p>\n

# \u6dfb\u52a0\u4e00\u4e9b\u989d\u5916\u7684\u64cd\u4f5c<\/span>
\n # \u5728\u5b9e\u9645\u5b9e\u73b0\u4e2d\u9700\u8981\u6839\u636e\u5177\u4f53\u7684\u8fb9\u754c\u6761\u4ef6\u8c03\u6574<\/span><\/p>\n

return<\/span> qc<\/p>\n

def<\/span> create_logical_circuit<\/span>(<\/span>self,<\/span> gate_sequence:<\/span> List[<\/span>str<\/span>]<\/span>)<\/span> –<\/span>><\/span> QuantumCircuit:<\/span>
\n \\”\\”\\”
\n \u521b\u5efa\u903b\u8f91\u7535\u8def<\/p>\n

Args:
\n gate_sequence: \u903b\u8f91\u95e8\u5e8f\u5217\uff0c\u5982 [\\’H\\’, \\’S\\’, \\’T\\’, \\’CNOT\\’]<\/p>\n

Returns:
\n \u903b\u8f91\u7535\u8def
\n \\”\\”\\”<\/span>
\n # \u8ba1\u7b97\u603b\u91cf\u5b50\u6bd4\u7279\u6570<\/span>
\n # \u5047\u8bbe\u6700\u591a\u9700\u8981\u4e24\u4e2a\u903b\u8f91\u91cf\u5b50\u6bd4\u7279<\/span>
\n total_qubits =<\/span> self.<\/span>num_physical_qubits *<\/span> 2<\/span><\/p>\n

qr =<\/span> QuantumRegister(<\/span>total_qubits,<\/span> \\’q\\’<\/span>)<\/span>
\n qc =<\/span> QuantumCircuit(<\/span>qr,<\/span> name=<\/span>\\’logical_circuit\\’<\/span>)<\/span><\/p>\n

for<\/span> gate in<\/span> gate_sequence:<\/span>
\n if<\/span> gate ==<\/span> \\’H\\’<\/span>:<\/span>
\n qc =<\/span> qc.<\/span>compose(<\/span>self.<\/span>transversal_hadamard(<\/span>)<\/span>,<\/span>
\n qubits=<\/span>range<\/span>(<\/span>self.<\/span>num_physical_qubits)<\/span>)<\/span>
\n elif<\/span> gate ==<\/span> \\’S\\’<\/span>:<\/span>
\n qc =<\/span> qc.<\/span>compose(<\/span>self.<\/span>transversal_phase(<\/span>)<\/span>,<\/span>
\n qubits=<\/span>range<\/span>(<\/span>self.<\/span>num_physical_qubits)<\/span>)<\/span>
\n elif<\/span> gate ==<\/span> \\’T\\’<\/span>:<\/span>
\n # T \u95e8\u4f7f\u7528\u7b80\u5316\u5b9e\u73b0<\/span>
\n t_circuit =<\/span> self.<\/span>create_t_gate_teleportation(<\/span>)<\/span>
\n qc =<\/span> qc.<\/span>compose(<\/span>t_circuit)<\/span>
\n elif<\/span> gate ==<\/span> \\’CNOT\\’<\/span>:<\/span>
\n qc =<\/span> qc.<\/span>compose(<\/span>self.<\/span>transversal_cnot(<\/span>)<\/span>)<\/span><\/p>\n

return<\/span> qc<\/p>\n

def<\/span> demonstrate_logical_gates<\/span>(<\/span>)<\/span>:<\/span>
\n \\”\\”\\”
\n \u6f14\u793a\u903b\u8f91\u95e8\u5b9e\u73b0
\n \\”\\”\\”<\/span>
\n print<\/span>(<\/span>\\”=\\”<\/span> *<\/span> 70<\/span>)<\/span>
\n print<\/span>(<\/span>\\”\u5bb9\u9519\u903b\u8f91\u95e8\u5b9e\u73b0\u6f14\u793a\\”<\/span>)<\/span>
\n print<\/span>(<\/span>\\”=\\”<\/span> *<\/span> 70<\/span>)<\/span><\/p>\n

# \u6d4b\u8bd5\u4e0d\u540c\u7801\u578b\u7684\u903b\u8f91\u95e8<\/span>
\n for<\/span> code_type in<\/span> [<\/span>\\’steane\\’<\/span>,<\/span> \\’shor\\’<\/span>,<\/span> \\’surface\\’<\/span>]<\/span>:<\/span>
\n print<\/span>(<\/span>f\\”\\\\n<\/span>{<\/p>\n

<\/span>code_type}<\/span><\/span> \u7801\u903b\u8f91\u95e8:\\”<\/span><\/span>)<\/span><\/p>\n

gates =<\/span> FaultTolerantGates(<\/span>code_type=<\/span>code_type,<\/span> L=<\/span>3<\/span>)<\/span><\/p>\n

print<\/span>(<\/span>f\\” \u7269\u7406\u91cf\u5b50\u6bd4\u7279\u6570: <\/span>{<\/p>\n

<\/span>gates.<\/span>num_physical_qubits}<\/span><\/span>\\”<\/span><\/span>)<\/span>
\n print<\/span>(<\/span>f\\” \u7801\u8ddd: <\/span>{<\/p>\n

<\/span>gates.<\/span>code_distance}<\/span><\/span>\\”<\/span><\/span>)<\/span><\/p>\n

# \u521b\u5efa\u903b\u8f91\u95e8\u7535\u8def<\/span>
\n h_circuit =<\/span> gates.<\/span>transversal_hadamard(<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u7248\u6743\u6807\u8bc6
\n\u7248\u6743\u58f0\u660e\uff1a\u00a9 2026 DREAMVFIA UNION \u7248\u6743\u6240\u6709\u3002\u672a\u7ecf\u8bb8\u53ef\uff0c\u7981\u6b62\u4efb\u4f55\u5f62\u5f0f\u7684\u8f6c\u8f7d\u3001\u590d\u5236\u6216\u5f15\u7528\u3002 \u6458\u8981
\n\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u662f\u5b9e\u73b0\u5927\u89c4\u6a21\u5b9e\u7528\u5316\u91cf\u5b50\u8ba1\u7b97\u673a\u7684\u7406\u8bba\u57fa\u7840\uff0c\u5b83\u89e3\u51b3\u4e86\u91cf\u5b50\u8ba1\u7b97\u8fc7\u7a0b\u4e2d\u4e0d\u53ef\u907f\u514d\u7684\u9000\u76f8\u5e72\u548c\u91cf\u5b50\u95e8\u9519\u8bef\u95ee\u9898\u3002\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u6838\u5fc3\u601d\u60f3\u662f\u901a\u8fc7\u7cbe\u5fc3\u8bbe\u8ba1\u7684\u91cf\u5b50\u7ea0\u9519\u7801\u5c06\u903b\u8f91\u91cf\u5b50\u6bd4\u7279\u7f16\u7801\u5728\u591a\u4e2a\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u4e0a\uff0c\u4f7f\u5f97\u5373\u4f7f\u90e8\u5206\u7269\u7406\u91cf\u5b50\u6bd4\u7279\u53d1\u751f\u9519\u8bef\uff0c\u6574\u4e2a\u91cf\u5b50\u4fe1\u606f\u4ecd\u7136\u80fd\u591f\u88ab\u5b8c\u6574\u5730\u6062\u590d\u548c\u6b63\u786e\u5904\u7406\u3002\u9608\u503c\u5b9a\u7406\u662f\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u7684\u7406\u8bba\u57fa\u77f3\uff0c\u5b83\u8bc1\u660e\u4e86\u53ea\u8981\u7269\u7406\u9519\u8bef\u7387\u4f4e\u4e8e\u67d0\u4e2a\u4e34\u754c\u503c\uff0c\u5c31\u53ef<\/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":[81,664,227,427,2958],"topic":[],"class_list":["post-79483","post","type-post","status-publish","format-standard","hentry","category-server","tag-python","tag-664","tag-227","tag-427","tag-2958"],"yoast_head":"\n\u3010DREAMVFIA\u5f00\u6e90\u3011\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\uff1a\u903b\u8f91\u95e8\u4e0e\u9608\u503c\u5b9a\u7406 - 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