{"id":505504,"date":"2024-01-07T10:05:37","date_gmt":"2024-01-07T10:05:37","guid":{"rendered":"https:\/\/quantumai.co\/understanding-the-bacon-shor-code-in-quantum-computing\/"},"modified":"2025-08-04T20:53:08","modified_gmt":"2025-08-04T20:53:08","slug":"%e7%9e%ad%e8%a7%a3%e9%87%8f%e5%ad%90%e9%81%8b%e7%ae%97%e4%b8%ad%e7%9a%84%e5%9f%b9%e6%a0%b9%e7%b7%a8%e7%a2%bc","status":"publish","type":"post","link":"https:\/\/quantumaieu.com\/zh\/%e7%9e%ad%e8%a7%a3%e9%87%8f%e5%ad%90%e9%81%8b%e7%ae%97%e4%b8%ad%e7%9a%84%e5%9f%b9%e6%a0%b9%e7%b7%a8%e7%a2%bc\/","title":{"rendered":"\u77ad\u89e3\u91cf\u5b50\u904b\u7b97\u4e2d\u7684 Bacon-Shor \u5bc6\u78bc"},"content":{"rendered":"<p>\u5728\u6211\u5011\u5c0b\u6c42\u8fce\u63a5 <strong>\u91cf\u5b50\u6642\u4ee3<\/strong>\u5728\u6b64\uff0c\u4e00\u500b\u4e0d\u5bb9\u5ffd\u8996\u7684\u91cd\u8981\u767c\u5c55\u662f <strong>Bacon-Shor \u4ee3\u78bc<\/strong>....\u7684\u95dc\u9375 <strong>\u53ef\u9760\u7684\u8cc7\u6599\u8655\u7406<\/strong> \u65bc <strong>\u91cf\u5b50\u8a08\u7b97<\/strong>\uff0c\u9019 <strong>\u932f\u8aa4\u4fee\u6b63\u78bc<\/strong> \u5df2\u6210\u70ba\u4e00\u9805\u57fa\u77f3\u6280\u8853\u3002\u6211\u5011\u6b63\u7ad9\u5728\u79d1\u6280\u9769\u547d\u8f49\u578b\u7684\u9580\u6abb\u4e0a\uff0c\u800c <b>Bacon-Shor \u4ee3\u78bc<\/b> \u5b83\u662f\u4e00\u9805\u91cd\u8981\u7684\u5275\u65b0\uff0c\u8b93\u6211\u5011\u8207\u672a\u4f86\u7684\u9032\u6b65\u4fdd\u6301\u4e00\u81f4\u3002<\/p>\n<p>\u4f5c\u70ba\u8a72\u9818\u57df\u7684\u5275\u65b0\u8005\uff0c\u6211\u5011\u610f\u8b58\u5230\u5728\u91cf\u5b50\u7cfb\u7d71\u4e2d\u7de8\u78bc\u548c\u4fdd\u5b58\u8cc7\u8a0a\u7684\u8907\u96dc\u6027\u3002\u9019\u5c31\u662f\u70ba\u4ec0\u9ebc\u6211\u5011\u80fd\u5920\u4ee5\u7c21\u55ae\u9ad8\u6548\u7684 <b>Bacon-Shor \u4ee3\u78bc<\/b> \u9019\u4e0d\u50c5\u50c5\u662f\u4e00\u9805\u6539\u9032\uff0c\u66f4\u662f\u4e00\u500b\u7bc4\u5f0f\u7684\u8f49\u8b8a\u3002 <b>\u932f\u8aa4\u4fee\u6b63<\/b> \u65b9\u6cd5\u8ad6\u3002\u5f9e\u6211\u5011\u7684\u89c0\u9ede\u4f86\u770b\uff0c\u5f88\u660e\u986f\u7684\u662f\uff0c\u5728\u932f\u8aa4\u8207\u4e0d\u7a69\u5b9a\u6027\u53e2\u751f\u7684\u91cf\u5b50\u74b0\u5883\u4e2d\uff0c\u8981\u638c\u63e1\u91cf\u5b50\u4f4d\u5143\u7684\u8907\u96dc\u821e\u6b65\uff0c\u638c\u63e1\u9019\u4e9b\u7a0b\u5f0f\u78bc\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002<\/p>\n<h2>\u91cf\u5b50\u904b\u7b97\u4e2d\u932f\u8aa4\u4fee\u6b63\u7684\u91cd\u8981\u6027<\/h2>\n<p>\u5728\u8ffd\u6c42\u5229\u7528 <strong>\u91cf\u5b50\u8a08\u7b97<\/strong>\u6211\u5011\u6b63\u7ad9\u5728\u79d1\u6280\u9769\u547d\u7684\u6700\u524d\u7dda\u3002\u7136\u800c\uff0c\u6211\u5011\u7684\u9032\u6b65\u61f8\u5728\u4e00\u628a\u96d9\u5203\u528d\u7684\u908a\u7de3\uff0c\u5de8\u5927\u7684\u904b\u7b97\u80fd\u529b\u8207\u9ad8\u5ea6\u654f\u611f\u6027\u76f8\u4f34\u800c\u751f\u3002 <em>\u74b0\u5883\u5e72\u64fe<\/em> \u548c <em>\u9000\u76f8\u5e72\u6027<\/em>.\u91cf\u5b50\u96fb\u8166\u4ee5\u524d\u6240\u672a\u6709\u7684\u901f\u5ea6\u8655\u7406\u5927\u91cf\u904b\u7b97\u7684\u80fd\u529b\uff0c\u5982\u679c\u6c92\u6709\u5f37\u5927\u7684\u904b\u7b97\u80fd\u529b\uff0c\u5c31\u5f88\u5bb9\u6613\u53d7\u5230\u7834\u58de\u3002 <strong>\u932f\u8aa4\u4fee\u6b63\u78bc<\/strong> \u6a5f\u5236\uff0c\u4ee5\u4fdd\u969c <strong>\u91cf\u5b50\u8cc7\u8a0a\u5b89\u5168<\/strong>.<\/p>\n<h3>\u74b0\u5883\u5e72\u64fe\u548c\u9000\u76f8\u5e72\u7684\u6311\u6230<\/h3>\n<p>\u5728\u9019\u500b\u65b0\u8208\u9818\u57df\u4e2d\uff0c\u6211\u5011\u9762\u81e8\u7684\u4e00\u500b\u7576\u52d9\u4e4b\u6025\u662f\u91cf\u5b50\u7cfb\u7d71\u7684\u7cbe\u9ad3\u5143\u7d20--\u91cf\u5b50\u4f4d\u5143\uff0c\u5f88\u5bb9\u6613\u53d7\u5230\u6700\u8f15\u5fae\u7684\u5f71\u97ff\u3002 <em>\u74b0\u5883\u5e72\u64fe<\/em>.\u5373\u4f7f\u662f\u770b\u4f3c\u53ef\u4ee5\u5ffd\u7565\u7684\u71b1\u6ce2\u52d5\u6216\u96fb\u78c1\u6ce2\uff0c\u4e5f\u53ef\u80fd\u5c0e\u81f4 <strong>\u9000\u76f8\u5e72\u6027<\/strong>\uff0c\u9019\u662f\u4e00\u7a2e\u95dc\u9375\u91cf\u5b50\u72c0\u614b\u5931\u53bb\u9023\u8cab\u6027\u7684\u73fe\u8c61\uff0c\u5c0e\u81f4\u8cc7\u8a0a\u8fc5\u901f\u4e14\u4e0d\u53ef\u9810\u6e2c\u5730\u9000\u5316\u3002<\/p>\n<h3>\u958b\u767c\u4fdd\u8b77\u91cf\u5b50\u8cc7\u8a0a\u7684\u53ef\u9760\u65b9\u6cd5<\/h3>\n<p>\u70ba\u6b64\uff0c\u958b\u767c\u5f37\u5927\u7684\u65b9\u6cd5\u4f86\u4fdd\u8b77\u548c\u4fdd\u5b58\u91cf\u5b50\u8cc7\u8a0a\u4ecd\u662f\u7576\u52d9\u4e4b\u6025\u3002\u6211\u5011\u4e0d\u65b7\u52aa\u529b\u5275\u65b0 <b>\u932f\u8aa4\u4fee\u6b63<\/b> \u4ee3\u78bc\uff0c\u4e0d\u50c5\u80fd\u5728\u932f\u8aa4\u767c\u751f\u6642\u5075\u6e2c\u4e26\u7cfe\u6b63\u932f\u8aa4\uff0c\u9084\u80fd\u9810\u9632\u6f5b\u5728\u7684\u5f31\u9ede\u3002\u4ee5\u4e0b\u662f\u4e00\u5f35\u6bd4\u8f03\u8868\uff0c\u8a73\u7d30\u8aaa\u660e\u5404\u7a2e <b>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/b> \u4ee3\u78bc\uff0c\u5c55\u793a\u6211\u5011\u5728\u696d\u754c\u6240\u53d6\u5f97\u7684\u9032\u6b65\uff0c\u4ee5\u5c0d\u6297 <b>\u9000\u76f8\u5e72\u6027<\/b> \u4e26\u7dad\u8b77 <b>\u91cf\u5b50\u8cc7\u8a0a\u5b89\u5168\u3002<\/b><\/p>\n<table>\n<tr>\n<th>\u932f\u8aa4\u4fee\u6b63\u78bc<\/th>\n<th>\u6297\u975e\u76f8\u5e72\u6027<\/th>\n<th>\u5c0d\u74b0\u5883\u5e72\u64fe\u7684\u654f\u611f\u5ea6<\/th>\n<th>\u91cf\u5b50\u8cc7\u8a0a\u5b89\u5168<\/th>\n<th>\u64cd\u4f5c\u8907\u96dc\u6027<\/th>\n<\/tr>\n<tr>\n<td><b>\u57f9\u6839-\u7d22\u723e\u4ee3\u78bc<\/b><\/td>\n<td>\u9ad8<\/td>\n<td>\u4f4e<\/td>\n<td>\u589e\u5f37\u578b<\/td>\n<td>\u6e1b\u5c11<\/td>\n<\/tr>\n<tr>\n<td>\u8868\u9762\u4ee3\u78bc<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d\u7d1a<\/td>\n<td>\u5f37\u5927<\/td>\n<td>\u4e2d\u5ea6<\/td>\n<\/tr>\n<tr>\n<td>\u77ef\u6b63\u78bc<\/td>\n<td>\u4e2d\u578b<\/td>\n<td>\u9ad8<\/td>\n<td>\u5b89\u5168<\/td>\n<td>\u8907\u96dc<\/td>\n<\/tr>\n<\/table>\n<p>\u70ba\u4e86\u61c9\u5c0d\u9019\u4e9b\u6311\u6230\uff0c\u6211\u5011\u6295\u8cc7\u65bc\u7814\u7a76\uff0c\u4e26\u8207\u8a72\u9818\u57df\u7684\u5148\u9a45\u8005\u5408\u4f5c\uff0c\u4ee5\u4fee\u6539\u898f\u7bc4\uff0c\u4f8b\u5982\u5ee3\u53d7\u597d\u8a55\u7684 <strong>Bacon-Shor \u4ee3\u78bc<\/strong>\uff0c\u9ad4\u73fe\u4e86\u91dd\u5c0d\u4ee5\u4e0b\u554f\u984c\u7684\u61c9\u8b8a\u80fd\u529b <b>\u74b0\u5883\u5e72\u64fe<\/b> \u4e26\u978f\u56fa <strong>\u91cf\u5b50\u8cc7\u8a0a\u5b89\u5168<\/strong>.\u7576\u6211\u5011\u6df1\u5165\u9019\u500b\u91cf\u5b50\u6642\u4ee3\u6642\uff0c\u5c0d\u65bc\u512a\u8d8a\u7684 <b>\u932f\u8aa4\u4fee\u6b63<\/b> \u53ea\u6703\u64f4\u5927\uff0c\u800c\u6211\u5011\u8fce\u63a5\u9019\u4e9b\u6311\u6230\u7684\u6c7a\u5fc3\u4e5f\u6703\u540c\u6a23\u589e\u5f37\uff0c\u78ba\u4fdd <b>\u91cf\u5b50\u8a08\u7b97<\/b> \u5be6\u73fe\u5176\u5168\u90e8\u6f5b\u529b\uff0c\u800c\u4e0d\u6703\u5c48\u670d\u65bc\u5176\u8207\u751f\u4ff1\u4f86\u7684\u8106\u5f31\u3002<\/p>\n<h2>\u4ec0\u9ebc\u662f Bacon-Shor \u6cd5\u5247\uff1f<\/h2>\n<p>\u6838\u5fc3\u662f <b>\u91cf\u5b50\u8a08\u7b97<\/b> \u8c9d\u80af-\u7d22\u723e (Bacon-Shor) \u4ee3\u78bc\u512a\u96c5\u5730\u89e3\u6c7a\u4e86\u9019\u500b\u8907\u96dc\u7684\u6311\u6230\u3002\u900f\u904e\u5728 <em>\u5e0c\u723e\u4f2f\u7279\u7a7a\u9593<\/em>\uff0c\u6b64\u4ee3\u78bc\u8207\u50b3\u7d71\u7684 <b>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/b> \u4ee3\u78bc\u3002Bacon-Shor \u7de8\u78bc\u7684\u5275\u65b0\u65b9\u6cd5\u6e1b\u8f15\u4e86\u5e38\u898b\u7684\u8907\u96dc\u6027\uff0c\u63d0\u51fa\u4e86\u4e00\u7a2e\u7bc4\u4f8b\uff0c\u5728\u9019\u7a2e\u7bc4\u4f8b\u4e2d\uff0c\u9700\u8981\u8f03\u5c11\u7684\u7a69\u5b9a\u5668\u4f86\u6aa2\u6e2c\u548c\u7cfe\u6b63\u932f\u8aa4\u3002 <b>\u91cf\u5b50\u8cc7\u8a0a\u3002<\/b> \u9019\u5957\u7a0b\u5f0f\u78bc\u7684\u7cbe\u9ad3\u5728\u65bc\u5b83\u7684\u7c21\u55ae\u6027\uff1b\u5b83\u512a\u96c5\u5730\u8b93\u6211\u5011\u80fd\u5920\u9810\u898b\u4e00\u500b\u672a\u4f86\uff0c\u5728\u90a3\u88e1 <b>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/b> \u904e\u7a0b\u66f4\u6613\u65bc\u7ba1\u7406\uff0c\u6700\u7d42\u70ba\u5be6\u969b\u61c9\u7528\u7684 <b>\u91cf\u5b50\u8a08\u7b97<\/b>.<\/p>\n<p>\u6211\u5011\u5728 Bacon-Shor \u7de8\u78bc\u4e2d\u63a1\u7528\u4e86\u898f\u5f8b\u5c0d\u7a31\uff0c\u6709\u6548\u5730\u7e2e\u6e1b\u4e86\u8aa4\u5dee\u6e2c\u91cf\u6240\u9700\u7684\u7a69\u5b9a\u5668\u6578\u91cf\u3002\u9019\u4e0d\u50c5\u662f\u7406\u8ad6\u4e0a\u7684\u6e1b\u5c11\uff0c\u4e5f\u5177\u6709\u5be6\u969b\u7684\u610f\u7fa9\uff0c\u56e0\u70ba\u6211\u5011\u6b63\u671d\u8457\u91cf\u5b50\u932f\u8aa4\u4fee\u6b63\u7684\u958b\u92b7\u5927\u5e45\u6e1b\u5c11\u7684\u7bc4\u4f8b\u9081\u9032\uff0c\u5f9e\u800c\u63d0\u5347\u91cf\u5b50\u904b\u7b97\u64cd\u4f5c\u7684\u6548\u80fd\u3002<\/p>\n<p>\u5c07 Bacon-Shor \u7de8\u78bc\u6574\u5408\u5230\u76ee\u524d\u7684\u91cf\u5b50\u904b\u7b97\u65b9\u6cd5\u4e2d\uff0c\u6a19\u8a8c\u8457\u5728\u8ffd\u6c42\u5bb9\u932f\u7cfb\u7d71\u7684\u904e\u7a0b\u4e2d\u5411\u524d\u9081\u9032\u4e86\u4e00\u6b65\uff0c\u8a72\u7cfb\u7d71\u53ef\u4ee5\u4fdd\u6301 <b>\u91cf\u5b50\u8cc7\u8a0a\u3002<\/b> \u7576\u6211\u5011\u6df1\u5165\u63a2\u7d22\u91cf\u5b50\u6642\u4ee3\u7684\u53ef\u80fd\u6027\u6642\uff0c\u6211\u5011\u77e5\u9053\u932f\u8aa4\u4fee\u6b63\u53ef\u4ee5\u5728\u4e0d\u5f71\u97ff\u6548\u80fd\u7684\u60c5\u6cc1\u4e0b\u9032\u884c\u7c21\u5316\uff0c\u9019\u8b93\u6211\u5011\u6709\u4fe1\u5fc3\u76f8\u4fe1\u672a\u4f86\u7684\u91cf\u5b50\u904b\u7b97\u4e0d\u53ea\u662f\u7406\u8ad6\u6a21\u578b\uff0c\u800c\u662f\u5be6\u969b\u7684\u73fe\u5be6\uff0c\u5f15\u9818\u6211\u5011\u9032\u5165\u79d1\u6280\u9032\u6b65\u7684\u65b0\u6642\u4ee3\u3002<\/p>\n<h2>\u5b50\u7cfb\u7d71\u7de8\u78bc\u53ca\u5176\u5728\u91cf\u5b50\u7ea0\u932f\u4e2d\u7684\u4f5c\u7528<\/h2>\n<p>\u7576\u6211\u5011\u6df1\u5165\u5230\u932f\u7d9c\u8907\u96dc\u7684 <em>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/em>\uff0c\u8d8a\u4f86\u8d8a\u660e\u986f\u7684\u662f <strong>\u5b50\u7cfb\u7d71\u4ee3\u78bc<\/strong> \u63d0\u4f9b\u7a81\u7834\u6027\u7684\u512a\u52e2\u3002\u503c\u5f97\u6ce8\u610f\u7684\u662f <strong>Bacon-Shor \u4ee3\u78bc<\/strong>\u662f\u5b50\u7cfb\u7d71\u4ee3\u78bc\u7684\u6700\u4f73\u7bc4\u4f8b\uff0c\u5fb9\u5e95\u6539\u8b8a\u4e86\u6211\u5011\u5728\u91cf\u5b50\u7cfb\u7d71\u4e2d\u9032\u884c\u932f\u8aa4\u4fee\u6b63\u7684\u65b9\u5f0f\u3002<\/p>\n<p><picture class=\"edge-images-container\" style=\"--content-visibility: auto; --height: 585px; --max-width: 1024px; --width: 1024px\"><img alt=\"\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\" class=\"aligncenter size-large wp-image-505507 edge-images-processed\" decoding=\"async\" height=\"585\" loading=\"lazy\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" src=\"https:\/\/quantumai.b-cdn.net\/width=650,height=371,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Quantum-Error-Correction.jpg\" srcset=\"https:\/\/quantumai.b-cdn.net\/width=650,height=371,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Quantum-Error-Correction.jpg 650w, https:\/\/quantumai.b-cdn.net\/width=975,height=557,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Quantum-Error-Correction.jpg 975w, https:\/\/quantumai.b-cdn.net\/width=1300,height=742,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Quantum-Error-Correction.jpg 1300w\" title=\"\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\" width=\"1024\"><\/picture><\/p>\n<h3>\u5b50\u7cfb\u7d71\u76f8\u8f03\u65bc\u5b50\u7a7a\u9593\u7de8\u78bc\u7684\u512a\u52e2<\/h3>\n<p>\u5728\u91cf\u5b50\u904b\u7b97\u7684\u9818\u57df\u4e2d\uff0c\u5229\u7528 <b>\u5b50\u7cfb\u7d71\u4ee3\u78bc<\/b> \u610f\u5473\u8457\u7c21\u5316\u8207\u6548\u7387\u7684\u8e8d\u9032\u3002\u9019\u4e9b\u4ee3\u78bc\u6539\u8b8a\u4e86\u50b3\u7d71\u5b50\u7a7a\u9593\u65b9\u6cd5\u7684\u7bc4\u5f0f\u3002\u8b93\u6211\u5011\u4f86\u770b\u770b <b>\u5b50\u7cfb\u7d71\u4ee3\u78bc<\/b> \u70ba\u91cf\u5b50\u7ea0\u932f\u9818\u57df\u5e36\u4f86\u4e86\u65b0\u7684\u767c\u5c55\uff1a<\/p>\n<ul>\n<li>\u7d30\u5206 <b>\u5e0c\u723e\u4f2f\u7279\u7a7a\u9593<\/b> \u5b50\u7cfb\u7d71\uff0c\u53ef\u8b93\u932f\u8aa4\u4fee\u6b63\u61c9\u7528\u66f4\u5177\u91dd\u5c0d\u6027\u3002<\/li>\n<li>\u5b83\u964d\u4f4e\u4e86\u64cd\u4f5c\u7684\u8907\u96dc\u6027\uff0c\u56e0\u6b64\u80fd\u5920\u66f4\u5feb\u901f\u3001\u66f4\u6709\u6548\u7387\u5730\u6aa2\u6e2c\u548c\u4fee\u6b63\u932f\u8aa4\u3002<\/li>\n<li>\u660e\u986f\u5f37\u8abf <strong>\u932f\u8aa4\u4fee\u6b63\u7a0b\u5e8f<\/strong> \u8207\u5b50\u7a7a\u9593\u7de8\u78bc\u76f8\u6bd4\uff0c\u7531\u65bc\u8cc7\u6e90\u5bc6\u96c6\u5ea6\u8f03\u4f4e\uff0c\u56e0\u6b64\u66f4\u70ba\u7cbe\u7c21\u3002<\/li>\n<\/ul>\n<h3>\u7c21\u5316\u932f\u8aa4\u66f4\u6b63\u7a0b\u5e8f\u7684\u5f71\u97ff<\/h3>\n<p>\u7684\u5f71\u97ff <strong>\u7c21\u5316\u7684\u932f\u8aa4\u4fee\u6b63\u7a0b\u5e8f<\/strong> \u4e0d\u61c9\u8a72\u88ab\u4f4e\u4f30\u3002 <b>\u5be6\u7528\u91cf\u5b50\u904b\u7b97<\/b> \u9019\u4e0d\u50c5\u9700\u8981\u7406\u8ad6\u4e0a\u7684\u7cbe\u78ba\u5ea6\uff0c\u9084\u9700\u8981\u64cd\u4f5c\u4e0a\u7684\u7c21\u4fbf\u6027\u548c\u5f48\u6027\u3002 <b>\u5b50\u7cfb\u7d71\u4ee3\u78bc<\/b>\u5728\u74b0\u5883\u96dc\u8a0a\u548c\u5e72\u64fe\u4e2d\u7dad\u6301\u91cf\u5b50\u8655\u7406\u5668\u7684\u904b\u4f5c\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002<\/p>\n<table>\n<tr>\n<th>\u932f\u8aa4\u4fee\u6b63\u529f\u80fd<\/th>\n<th>\u5b50\u7cfb\u7d71\u4ee3\u78bc (Bacon-Shor)<\/th>\n<th>\u5b50\u7a7a\u9593\u4ee3\u78bc<\/th>\n<\/tr>\n<tr>\n<td><b>\u5e0c\u723e\u4f2f\u7279\u7a7a\u9593<\/b> \u8981\u6c42<\/td>\n<td>\u7d30\u5206\u70ba\u5b50\u7cfb\u7d71<\/td>\n<td>\u7528\u65bc\u7de8\u78bc\u7684\u6574\u500b\u7a7a\u9593<\/td>\n<\/tr>\n<tr>\n<td>\u7a69\u5b9a\u5668\u7684\u8907\u96dc\u6027<\/td>\n<td>\u6240\u9700\u7684\u7a69\u5b9a\u5291\u66f4\u5c11<\/td>\n<td>\u932f\u8aa4\u5075\u6e2c\u9700\u8981\u66f4\u591a\u7684\u7a69\u5b9a\u5668<\/td>\n<\/tr>\n<tr>\n<td>\u7a69\u5b9a\u5668\u6e2c\u91cf<\/td>\n<td>\u6e2c\u91cf\u6b21\u6578\u8f03\u5c11<\/td>\n<td>\u64f4\u5145\u6e2c\u91cf\u901a\u8a0a\u5354\u5b9a<\/td>\n<\/tr>\n<tr>\n<td>\u5be6\u65bd\u5bb9\u6613\u5ea6<\/td>\n<td>\u7c21\u5316\u3001\u66f4\u5be6\u7528<\/td>\n<td>\u901a\u5e38\u8907\u96dc\u4e14\u8cc7\u6e90\u5bc6\u96c6<\/td>\n<\/tr>\n<\/table>\n<p>\u900f\u904e\u6211\u5011\u7684\u7814\u7a76\uff0c\u6211\u5011\u53ef\u4ee5\u6e05\u695a\u5730\u770b\u5230\uff0c\u50cf Bacon-Shor \u4ee3\u78bc\u9019\u6a23\u7684\u5b50\u7cfb\u7d71\u4ee3\u78bc\u6709\u91cd\u65b0\u5b9a\u7fa9\u7684\u6f5b\u529b\u3002 <em>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/em> \u63d0\u51fa\u7684\u4e0d\u50c5\u662f\u53e6\u4e00\u7a2e\u89e3\u6c7a\u65b9\u6848\uff0c\u800c\u662f\u4e00\u7a2e\u66f4\u5fae\u5999\u3001\u53ef\u64f4\u5145\u7684\u65b9\u6cd5\uff0c\u9069\u5408\u4e0d\u65b7\u9032\u6b65\u7684\u91cf\u5b50\u6642\u4ee3\u3002<\/p>\n<h2>\u57f9\u6839-\u7d22\u723e\u7684\u8d77\u6e90\uff1aDave Bacon \u548c Peter Shor \u7684\u8ca2\u737b<\/h2>\n<p>\u6211\u5011\u5c0d\u91cf\u5b50\u904b\u7b97\u9818\u57df\u7684\u63a2\u7d22\uff0c\u5e36\u9818\u6211\u5011\u9032\u5165\u5169\u4f4d\u95dc\u9375\u4eba\u7269\u7684\u57fa\u790e\u8ca2\u737b\uff1a <b>Dave Bacon<\/b> \u548c <b>Peter Shor<\/b>.\u4ed6\u5011\u5728\u932f\u8aa4\u4fee\u6b63\u65b9\u9762\u7684\u5275\u65b0\u5de5\u4f5c\u91cd\u65b0\u5b9a\u7fa9\u4e86\u6211\u5011\u7684\u7de8\u78bc\u65b9\u6cd5\u3002 <b>\u91cf\u5b50\u8cc7\u8a0a\u3002<\/b> \u9019\u5169\u4f4d\u79d1\u5b78\u5bb6\u7684\u5408\u4f5c\u5275\u9020\u4e86 Bacon-Shor \u7de8\u78bc\uff0c\u9019\u662f\u4e00\u500b\u91cc\u7a0b\u7891\u3002 <em>\u932f\u8aa4\u4fee\u6b63\u5275\u65b0<\/em> \u7559\u4e0b\u4e86\u4e0d\u53ef\u78e8\u6ec5\u7684\u5370\u8a18\u3002 <strong>\u91cf\u5b50\u8a08\u7b97\u907a\u7522<\/strong>.<\/p>\n<p>Bacon-Shor \u7de8\u78bc\u6e90\u81ea\u65bc\u4e00\u500b\u7c21\u55ae\u800c\u6df1\u523b\u7684\u60f3\u6cd5\uff1a\u5728\u5b50\u7cfb\u7d71\u4e2d\u7de8\u78bc\u8cc7\u8a0a\uff0c\u4ee5\u7c21\u5316\u932f\u8aa4\u4fee\u6b63\u7684\u904e\u7a0b\u3002\u9019\u7a2e\u65b9\u6cd5\u5c0d\u65bc\u8ff4\u907f\u91cf\u5b50\u904b\u7b97\u6240\u9762\u81e8\u7684\u7121\u6578\u554f\u984c\u81f3\u95dc\u91cd\u8981\uff0c\u4f8b\u5982 <b>\u9000\u76f8\u5e72\u6027<\/b> \u548c\u74b0\u5883\u5e72\u64fe\u3002\u901a\u904e\u89e3\u6c7a\u9019\u4e9b\u554f\u984c\uff1a <b>Dave Bacon<\/b> \u548c <b>Peter Shor<\/b> \u70ba\u5275\u9020\u5bb9\u932f\u80fd\u529b\u66f4\u5f37\u7684\u91cf\u5b50\u904b\u7b97\u74b0\u5883\u5960\u5b9a\u4e86\u57fa\u790e\uff0c\u9019\u5c0d\u65bc\u6709\u6548\u4fdd\u8b77\u548c\u8655\u7406\u91cf\u5b50\u8cc7\u6599\u81f3\u95dc\u91cd\u8981\u3002<\/p>\n<ul>\n<li>Bacon-Shor \u7de8\u78bc\u7cfe\u932f\u65b9\u6cd5\u80cc\u5f8c\u7684\u7c21\u55ae\u6027<\/li>\n<li>\u5b50\u7cfb\u7d71\u7de8\u78bc\u5982\u4f55\u8b93\u91cf\u5b50\u8cc7\u6599\u8655\u7406\u66f4\u6709\u6548\u7387<\/li>\n<li>\u57f9\u6839\u548c\u8096\u723e\u7684\u7814\u7a76\u5c0d\u73fe\u4ee3\u91cf\u5b50\u7cfb\u7d71\u7684\u6301\u4e45\u5f71\u97ff<\/li>\n<\/ul>\n<p>\u8b93\u6211\u5011\u6df1\u5165\u77ad\u89e3\u5b9a\u7fa9 Bacon-Shor \u7a0b\u5f0f\u78bc\u7684\u95dc\u9375\u5143\u4ef6\uff1a<\/p>\n<table>\n<tr>\n<th>\u7279\u9ede<\/th>\n<th>\u8aaa\u660e<\/th>\n<th>\u5f71\u97ff<\/th>\n<\/tr>\n<tr>\n<td>\u5b50\u7cfb\u7d71\u932f\u8aa4\u66f4\u6b63<\/td>\n<td>\u5206\u5272 <b>\u5e0c\u723e\u4f2f\u7279\u7a7a\u9593<\/b> \u5206\u70ba\u4e0d\u540c\u7684\u5b50\u7cfb\u7d71\uff0c\u4ee5\u91dd\u5c0d\u7279\u5b9a\u7684\u932f\u8aa4\u75c7\u5019\u7fa4\u3002<\/td>\n<td>\u964d\u4f4e\u8907\u96dc\u6027\u4e26\u63d0\u6607\u5bb9\u932f\u80fd\u529b\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u91cf\u5b50\u5c0d\u7a31<\/td>\n<td>\u5229\u7528\u91cf\u898f\u5c0d\u7a31\u6027\u4f86\u6700\u5c0f\u5316\u7a69\u5b9a\u5668\u9700\u6c42\u3002<\/td>\n<td>\u6aa2\u6e2c\u932f\u8aa4\u7684\u6548\u7387\u548c\u8f03\u5c11\u7684\u5fc5\u8981\u6e2c\u91cf\u96c6\u3002<\/td>\n<\/tr>\n<tr>\n<td>\u57f9\u6839\u8207 Shor \u7684\u5408\u4f5c<\/td>\n<td>\u5169\u4f4d\u91cf\u5b50\u7de8\u78bc\u7814\u7a76\u5148\u9a45\u7684\u5354\u540c\u52aa\u529b\u3002<\/td>\n<td>\u70ba\u672a\u4f86\u91cf\u5b50\u904b\u7b97\u7814\u7a76\u8207\u932f\u8aa4\u4fee\u6b63\u65b9\u6cd5\u958b\u5275\u5148\u4f8b\u3002<\/td>\n<\/tr>\n<\/table>\n<p>\u900f\u904e Bacon-Shor \u5bc6\u78bc\uff0c\u6211\u5011\u898b\u8b49\u4e86\u7d50\u5408\u7406\u8ad6\u57fa\u790e\u8207\u5be6\u969b\u5275\u65b0\u7684\u529b\u91cf\u3002\u9019\u500b\u5ee3\u53d7\u597d\u8a55\u7684 <strong>\u932f\u8aa4\u4fee\u6b63\u5275\u65b0<\/strong> \u662f\u8ffd\u6c42\u5229\u7528\u91cf\u5b50\u529b\u5b78\u7684\u602a\u7656\u4f86\u70ba\u6211\u5011\u8b00\u5229\u7684\u5316\u8eab\u3002 <b>Dave Bacon<\/b> \u548c <b>Peter Shor<\/b> \u5728\u6b64\u65b9\u9762\u767c\u63ee\u4e86\u91cd\u8981\u4f5c\u7528\u3002<\/p>\n<h2>\u77ad\u89e3 Bacon-Shor \u7a0b\u5f0f\u4e2d Qubits \u7684\u7db2\u683c\u4f48\u5c40<\/h2>\n<p>\u5728\u6211\u5011\u5c0d Bacon-Shor \u7de8\u78bc\u7684\u63a2\u7d22\u4e2d\uff0c\u6211\u5011\u767c\u73fe\u4e86\u69cb\u6210\u6b64\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u7b56\u7565\u95dc\u9375\u65b9\u9762\u7684\u91cf\u5b50\u4f4d\u5143\u7db2\u683c\u6392\u5217\u80cc\u5f8c\u7684\u7cbe\u78ba\u6027\u3002\u4ee5\u65b9\u683c\u70ba\u57fa\u790e\u7684\u6392\u5217\u65b9\u5f0f\u4e0d\u50c5\u6709\u52a9\u65bc\u932f\u8aa4\u5075\u6e2c\u8207\u7cfe\u6b63\uff0c\u4e5f\u5728\u91cf\u5b50\u904b\u7b97\u7cfb\u7d71\u4e2d\u63d0\u5347\u5bb9\u932f\u80fd\u529b\u4e0a\u626e\u6f14\u95dc\u9375\u7684\u89d2\u8272\u3002<\/p>\n<h3>\u53ef\u8996\u5316\u4ee5\u65b9\u683c\u70ba\u57fa\u790e\u7684 Qubit \u7f6e\u4f4d<\/h3>\n<p>\u9bae\u660e\u7684\u65b9\u5f62\u6676\u683c\u5f62\u6210\uff0c\u6bcf\u500b\u91cf\u5b50\u4f4d\u90fd\u88ab\u7cbe\u5fc3\u653e\u7f6e\u5728\u6676\u683c\u9802\u9ede\uff0c\u53cd\u6620\u51fa Bacon-Shor \u5bc6\u78bc\u8a2d\u8a08\u7684\u8907\u96dc\u6027\u3002\u9019\u7a2e\u7a7a\u9593\u7d44\u7e54\u65b9\u5f0f\u6709\u52a9\u65bc\u7c21\u5316\u8b58\u5225 <b>\u91cf\u5b50\u932f\u8aa4\u75c7\u5019\u7fa4<\/b> \u5c07\u91cf\u5b50\u4f4d\u5143\u4f4d\u7f6e\u5c0d\u9f4a <b>\u6e2c\u91cf\u7fa4<\/b>\uff0c\u7522\u751f\u76f4\u63a5\u7684\u932f\u8aa4\u4fee\u6b63\u9014\u5f91\u3002<\/p>\n<h3>\u8fd1\u9130\u4e92\u52d5\u5728\u932f\u8aa4\u75c7\u5019\u7fa4\u4e2d\u7684\u91cd\u8981\u6027<\/h3>\n<p>Bacon-Shor \u6cd5\u5247\u7684\u6838\u5fc3\u539f\u5247\u662f <b>\u6700\u8fd1\u9130\u6e2c\u91cf\u3002<\/b> \u9019\u4e9b\u4e92\u52d5\u95dc\u4fc2\u662f\u6709\u6548\u5224\u65b7\u932f\u8aa4\u75c7\u5019\u7fa4\u7684\u95dc\u9375\uff0c\u53ef\u5927\u5e45\u4fc3\u9032\u9694\u96e2\u548c\u4fee\u6b63\u91cf\u5b50\u932f\u8aa4\u7684\u904e\u7a0b\u3002\u900f\u904e\u5229\u7528\u9019\u4e9b\u8fd1\u7aef\u91cf\u5b50\u4f4d\u5143\u95dc\u4fc2\uff0c\u8a72\u7de8\u78bc\u6a19\u8a8c\u8457\u91cf\u5b50\u904b\u7b97\u5bb9\u932f\u80fd\u529b\u7684\u9769\u547d\u6027\u9032\u5c55\u3002<\/p>\n<p><!-- Table showcasing the structure of nearest-neighbor interactions in the Bacon-Shor code --><\/p>\n<table>\n<tr>\n<th>Qubit \u4f4d\u7f6e<\/th>\n<th>\u91cf\u5177\u7d44\u5354\u6703<\/th>\n<th>\u6700\u8fd1\u9130\u4ea4\u4e92<\/th>\n<th>\u5728\u932f\u8aa4\u63a8\u7406\u4e2d\u7684\u89d2\u8272<\/th>\n<\/tr>\n<tr>\n<td>\u9802\u9ede A<\/td>\n<td>G\u2081<\/td>\n<td>\u76f8\u9130\u9802\u9ede B &amp; C<\/td>\n<td>Z \u8ef8\u8aa4\u5dee\u7684\u4e3b\u8981\u539f\u56e0<\/td>\n<\/tr>\n<tr>\n<td>\u9802\u9ede B<\/td>\n<td>G\u2082<\/td>\n<td>\u76f8\u9130\u9802\u9ede A &amp; D<\/td>\n<td>X \u8ef8\u8aa4\u5dee\u7684\u6b21\u7d1a<\/td>\n<\/tr>\n<tr>\n<td>\u9802\u9ede C<\/td>\n<td>G\u2083<\/td>\n<td>\u76f8\u9130\u9802\u9ede A &amp; E<\/td>\n<td>X \u8ef8\u932f\u8aa4\u7684\u4e3b\u8981\u539f\u56e0<\/td>\n<\/tr>\n<tr>\n<td>\u9802\u9ede D<\/td>\n<td>G\u2084<\/td>\n<td>\u76f8\u9130\u9802\u9ede B &amp; F<\/td>\n<td>Z \u8ef8\u8aa4\u5dee\u7684\u6b21\u7d1a<\/td>\n<\/tr>\n<\/table>\n<h2>\u7a69\u5b9a\u5668\u7522\u751f\u5668\u548c\u91cf\u5177\u7d44\u8a73\u7d30\u89e3\u91cb<\/h2>\n<p>\u7576\u6211\u5011\u63a2\u7d22 Bacon-Shor \u6cd5\u5247\u7684\u57fa\u790e\u6642\uff0c\u6211\u5011\u6703\u9047\u5230\u4ee5\u4e0b\u7684\u6982\u5ff5 <b>\u7a69\u5b9a\u5668\u767c\u96fb\u6a5f<\/b> \u548c\u898f\u683c\u7fa4 - \u9019\u4e9b\u95dc\u9375\u5143\u7d20\u8b93\u91cf\u5b50\u7ea0\u932f\u8b8a\u5f97\u66f4\u5bb9\u6613\u7ba1\u7406\u3002\u6e05\u695a\u4e86\u89e3\u9019\u4e9b\u8a5e\u5f59\uff0c\u4e0d\u50c5\u80fd\u89e3\u958b\u91cf\u5b50\u7ea0\u932f\u8907\u96dc\u6027\u7684\u8b0e\u5718\uff0c\u4e5f\u80fd\u5f37\u8abf Bacon-Shor \u7de8\u78bc\u65b9\u6cd5\u7684\u6548\u7387\u3002<\/p>\n<h3>\u964d\u4f4e\u932f\u8aa4\u4fee\u6b63\u7684\u8907\u96dc\u6027<\/h3>\n<p>\u900f\u904e\u61c9\u7528 <b>\u7a69\u5b9a\u5668\u767c\u96fb\u6a5f<\/b> \u5728 Bacon-Shor \u7de8\u78bc\u6846\u67b6\u5167\uff0c\u6211\u5011\u5927\u5e45\u964d\u4f4e\u4e86\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u50b3\u7d71\u4e0a\u6240\u6d89\u53ca\u7684\u8907\u96dc\u6027\u3002\u50b3\u7d71\u4e0a\uff0c\u9700\u8981\u4e00\u7d44\u516b\u500b\u7522\u751f\u5668\uff1b\u7136\u800c\uff0cBacon-Shor \u78bc\u7684\u5de7\u5999\u7d50\u69cb\u5c07\u9019\u500b\u6578\u76ee\u6e1b\u5c11\u5230\u56db\u500b\u3002\u9019\u4e00\u7c21\u5316\u8b49\u660e\u4e86 Bacon-Shor \u65b9\u6cd5\u7684\u6548\u7387\uff0c\u5b8c\u5168\u7b26\u5408\u91cf\u5b50\u904b\u7b97\u7684\u5be6\u969b\u9700\u6c42\uff0c\u5728\u91cf\u5b50\u904b\u7b97\u4e2d\uff0c\u8907\u96dc\u5ea6\u7684\u6bcf\u4e00\u6e1b\u5c11\u90fd\u80fd\u5927\u5e45\u63d0\u5347\u904b\u7b97\u6548\u80fd\u3002<\/p>\n<h3>\u5169\u500b Qubit \u6e2c\u91cf\u7684\u6709\u6548\u6027<\/h3>\n<p>\u5728\u9019\u4e9b\u7bc4\u570d\u5167 <b>\u7a69\u5b9a\u5668\u767c\u96fb\u6a5f<\/b>\u6211\u5011\u611f\u8b1d <b>\u6e2c\u91cf\u7fa4<\/b>. <b>\u91cf\u898f\u7fa4\u96c6<\/b> \u662f\u7531\u7a69\u5b9a\u5668\u4e4b\u9593\u7684\u95dc\u4fc2\u6240\u69cb\u6210\uff0c\u8b93\u6211\u5011\u5728\u932f\u8aa4\u4fee\u6b63\u904e\u7a0b\u4e2d\u6709\u66f4\u5927\u7684\u9748\u6d3b\u6027\u3002\u7576\u6211\u5011\u57f7\u884c <b>\u5169\u500b\u4f4d\u5143\u6e2c\u91cf\u3002<\/b> \u9019\u4e9b\u91cf\u6e2c\u7d50\u679c\u8b93\u6211\u5011\u80fd\u5920\u4f9d\u64da\u6700\u8fd1\u9130\u4e92\u52d5\u7684\u539f\u7406\uff0c\u4ee5\u6975\u9ad8\u7684\u7cbe\u78ba\u5ea6\u627e\u51fa\u8aa4\u5dee\uff0c\u9019\u4e00\u7279\u9ede\u63ed\u793a\u4e86\u7a0b\u5f0f\u78bc\u70ba\u63d0\u9ad8\u6548\u7387\u800c\u91cf\u8eab\u6253\u9020\u7684\u7cbe\u5bc6\u8a2d\u8a08\u3002<\/p>\n<blockquote><p>\u9019\u4e9b\u6700\u8fd1\u9130\u6e2c\u91cf\u662f Bacon-Shor \u7de8\u78bc\u932f\u8aa4\u5075\u6e2c\u8207\u4fee\u6b63\u529f\u80fd\u7684\u57fa\u77f3\uff0c\u4e5f\u662f\u8a72\u7de8\u78bc\u8207\u91cf\u5b50\u904b\u7b97\u6700\u65b0\u5275\u65b0\u6280\u8853\u63a5\u8ecc\u7684\u7e2e\u5f71\u3002<\/p><\/blockquote>\n<table>\n<tr>\n<th>\u7279\u9ede<\/th>\n<th>Bacon-Shor Code \u512a\u52e2<\/th>\n<\/tr>\n<tr>\n<td>\u767c\u96fb\u6a5f\u6578\u91cf<\/td>\n<td>\u5f9e\u516b\u500b\u6e1b\u5c11\u5230\u56db\u500b<\/td>\n<\/tr>\n<tr>\n<td>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/td>\n<td>\u7c21\u5316\u8907\u96dc\u6027<\/td>\n<\/tr>\n<tr>\n<td>\u7a69\u5b9a\u5668\u7d44\u89d2\u8272<\/td>\n<td>\u6709\u6548\u5075\u6e2c\u932f\u8aa4\u7684\u5fc5\u8981\u689d\u4ef6<\/td>\n<\/tr>\n<tr>\n<td>\u91cf\u5177\u7fa4\u7d44<\/td>\n<td>\u5728\u932f\u8aa4\u4fee\u6b63\u904e\u7a0b\u4e2d\u63d0\u4f9b\u5f48\u6027<\/td>\n<\/tr>\n<tr>\n<td>\u5169\u500b Qubit \u6e2c\u91cf<\/td>\n<td>\u5c0d\u65bc\u8a3a\u65b7\u932f\u8aa4\u975e\u5e38\u91cd\u8981<\/td>\n<\/tr>\n<\/table>\n<p>\u7e3d\u62ec\u800c\u8a00\uff0cBacon-Shor \u4ee3\u78bc\u7d50\u69cb\u4e2d\u7684\u7a69\u5b9a\u5b50\u7522\u751f\u5668\u8207\u898f\u5f8b\u7fa4\u4e4b\u9593\u7684\u4e92\u52d5\uff0c\u5c55\u793a\u4e86\u4e00\u7a2e\u512a\u96c5\u7684\u65b9\u6cd5\uff0c\u53ef\u6e1b\u5c11\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u7684\u8271\u9245\u6027\u3002\u7576\u6211\u5011\u5728\u9019\u500b\u6846\u67b6\u5167\u6574\u5408\u5169\u500b\u91cf\u5b50\u4f4d\u5143\u6e2c\u91cf\u6642\uff0c\u6211\u5011\u5c31\u80fd\u8ce6\u4e88\u91cf\u5b50\u904b\u7b97\u66f4\u9ad8\u7684\u7cbe\u78ba\u5ea6\u548c\u6548\u7387\uff0c\u70ba\u91cf\u5b50\u904b\u7b97\u958b\u95e2\u65b0\u7684\u9818\u57df\u3002 <b>\u91cf\u5b50\u6642\u4ee3\u3002<\/b><\/p>\n<h2>Bacon-Shor \u7de8\u78bc\u8207\u5bb9\u932f\u91cf\u5b50\u96fb\u8def<\/h2>\n<p>\u5728\u91cf\u5b50\u8a08\u7b97\u9818\u57df\u4e2d\uff0c\u5c07 Bacon-Shor \u7de8\u78bc\u6574\u5408\u5230 <b>\u5bb9\u932f\u91cf\u5b50\u96fb\u8def<\/b> \u662f\u7406\u8ad6\u9032\u6b65\u5982\u4f55\u50ac\u5316\u5be6\u7528\u5275\u65b0\u7684\u5149\u8f1d\u5178\u7bc4\u3002\u6211\u5011\u5728\u672c\u7bc0\u4e2d\u5c07\u6df1\u5165\u63a2\u8a0e Bacon-Shor \u7de8\u78bc\u6240\u5e36\u4f86\u7684\u958b\u5275\u6027\u7a81\u7834\uff0c\u4e26\u5c55\u793a\u6b64\u65b9\u6cd5\u5728\u5275\u9020\u91cf\u5b50\u96fb\u8def\u65b9\u9762\u7684\u529f\u6548\uff0c\u4ee5\u7dad\u8b77\u91cf\u5b50\u7cfb\u7d71\u5728\u9ad8\u932f\u8aa4\u6982\u7387\u4e0b\u7684\u5b8c\u6574\u6027\u3002<\/p>\n<h3>\u5bb9\u932f\u96fb\u8def\u793a\u7bc4\u7684\u7a81\u7834\u6027\u767c\u5c55<\/h3>\n<p>\u6211\u5011\u898b\u8b49\u4e86\u4e00\u500b\u7a81\u7834\u6027\u7684\u8f49\u8b8a\uff0c\u7406\u8ad6\u5c0d\u91cf\u5b50\u96fb\u8def\u5728\u73fe\u5be6\u4e16\u754c\u4e2d\u7684\u529f\u6548\u7522\u751f\u4e86\u5be6\u8cea\u7684\u5f71\u97ff\u3002Bacon-Shor \u7de8\u78bc\u7ad9\u5728\u9019\u500b\u767c\u5c55\u7684\u6700\u524d\u7aef\uff0c\u5927\u5e45\u63d0\u5347\u6297\u932f\u80fd\u529b\uff0c\u78ba\u4fdd\u96fb\u8def\u7684\u5f48\u6027\u3002\u900f\u904e\u7cbe\u7d30\u7684\u5de5\u7a0b\u548c\u5c0d\u91cf\u5b50\u7cfe\u932f\u7c21\u5316\u7684\u4e0d\u61c8\u8ffd\u6c42\uff0c\u7814\u7a76\u4eba\u54e1\u5df2\u7d93\u80fd\u5920\u5c55\u793a\u81ea\u4e3b\u5bb9\u932f\u96fb\u8def\uff0c\u978f\u56fa\u4e86\u91cf\u5b50\u96fb\u8def\u7684\u57fa\u77f3\u3002 <b>\u91cf\u5b50\u8a08\u7b97\u7684\u7a81\u7834\u3002<\/b><\/p>\n<h3>\u964d\u4f4e\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u7684\u958b\u92b7<\/h3>\n<p>\u964d\u4f4e\u958b\u92b7\u5c0d\u65bc\u5c07\u91cf\u5b50\u96fb\u8def\u5f9e\u5be6\u9a57\u6027\u7684\u597d\u5947\u5fc3\u63d0\u5347\u70ba\u53ef\u884c\u7684\u6280\u8853\u81f3\u95dc\u91cd\u8981\u3002Bacon-Shor \u7de8\u78bc\u7684\u7cbe\u7dfb\u8a2d\u8a08\u6709\u6548\u5730\u5c07\u91cf\u5b50\u932f\u8aa4\u4fee\u6b63\u7684\u8907\u96dc\u6027\u964d\u81f3\u6700\u4f4e\u3002\u900f\u904e\u5be6\u65bd\u91dd\u5c0d <b>\u932f\u8aa4\u4fee\u6b63\u7c21\u5316<\/b>\u6211\u5011\u767c\u6398\u91cf\u5b50\u96fb\u8def\u7684\u771f\u6b63\u6f5b\u529b\uff0c\u57f9\u990a\u91cf\u5b50\u904b\u7b97\u5fae\u5999\u7279\u6027\u7684\u7a69\u5065\u6027\u3002\u9019\u958b\u95e2\u4e86\u4e00\u689d\u9053\u8def\uff0c\u8b93\u5bb9\u932f\u4e0d\u53ea\u662f\u4e00\u500b\u5d07\u9ad8\u7684\u76ee\u6a19\uff0c\u800c\u662f\u5be6\u5be6\u5728\u5728\u7684\u73fe\u5be6\uff0c\u70ba\u66f4\u5148\u9032\u3001\u66f4\u53ef\u9760\u7684\u91cf\u5b50\u8a08\u7b97\u67b6\u69cb\u92ea\u8def\u3002<\/p>\n<p>\u672c\u8cea\u4e0a\uff0c\u5c07\u958b\u5275\u6027\u7684 Bacon-Shor \u6cd5\u5247\u53cd\u52d5\u5730\u6539\u7de8\u70ba <b>\u5bb9\u932f\u91cf\u5b50\u96fb\u8def<\/b> \u91cf\u5b50\u8a08\u7b97\u7684\u7a81\u7834\u4e0d\u50c5\u6307\u65e5\u53ef\u5f85\uff0c\u800c\u4e14\u5df2\u7d93\u5c55\u958b\u3002<\/p>\n<h2>Bacon-Shor \u7de8\u78bc\u8207\u5176\u4ed6\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u7de8\u78bc\u7684\u6bd4\u8f03<\/h2>\n<p>\u8eab\u70ba\u91cf\u5b50\u904b\u7b97\u9818\u57df\u7684\u5148\u9a45\uff0c\u6211\u5011\u4e0d\u65b7\u52aa\u529b\u7cbe\u9032\u6211\u5011\u5c0d\u91cf\u5b50\u904b\u7b97\u7684\u7406\u89e3\u3002 <b>\u91cf\u5b50\u7ea0\u9519\u7801<\/b>.\u5176\u4e2d\uff0cBacon-Shor \u7de8\u78bc\u5df2\u7d93\u6210\u70ba\u4e00\u7a2e\u7368\u7279\u7684\u89e3\u6c7a\u65b9\u6848\uff0c\u5177\u6709\u591a\u7a2e\u5f15\u4eba\u5165\u52dd\u7684\u512a\u9ede\u3002\u5b83\u5f15\u9032\u4e86\u4e00\u7a2e\u7c21\u5316\u7684\u65b9\u6cd5\uff0c\u7528\u65bc\u7cfe\u6b63\u91cf\u5b50\u8aa4\u5dee\u3002 <b>\u4fdd\u5229\u7b97\u5b50<\/b>\u4f7f\u5176\u6709\u5225\u65bc <b>\u91cf\u5b50\u7ea0\u9519\u7801<\/b> \u50cf <b>Shor \u4ee3\u78bc<\/b> \u548c <b>\u8868\u9762\u4ee3\u78bc\u3002<\/b><\/p>\n<h3>\u4fdd\u5229\u7b97\u5b50\u53ca\u5176\u91cd\u8981\u6027<\/h3>\n<p>\u7684\u4f5c\u7528 <b>\u4fdd\u5229\u7b97\u5b50<\/b> \u5728\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u4e2d\u662f\u6700\u57fa\u672c\u7684\u3002\u7576\u6211\u5011\u8ac7\u5230 <em>Bacon-Shor \u4ee3\u78bc\u6bd4\u8f03<\/em>, <b>\u4fdd\u5229\u7b97\u5b50<\/b> \u5141\u8a31\u4ee5\u66f4\u6709\u6548\u7387\u7684\u65b9\u5f0f\u7de8\u78bc\u5e38\u898b\u7684\u91cf\u5b50\u932f\u8aa4\u3002\u9019\u8b93\u6211\u5011\u53ef\u4ee5\u9054\u5230\u4ee5\u524d\u8f03\u96e3\u5be6\u73fe\u7684\u7cbe\u78ba\u5ea6\u3002<\/p>\n<h3>\u8207 Shor \u548c\u8868\u9762\u4ee3\u78bc\u7684\u5340\u5225\u7279\u5fb5<\/h3>\n<p>\u96d6\u7136\u8457\u540d\u7684 <b>Shor \u4ee3\u78bc<\/b> Bacon-Shor \u78bc\u4ee5\u5176\u7cfe\u6b63\u4efb\u610f\u55ae\u91cf\u5b50\u4f4d\u5143\u932f\u8aa4\u7684\u80fd\u529b\u800c\u805e\u540d\uff0c\u5b83\u4f7f\u7528\u8f03\u5c11\u7684\u91cf\u5b50\u4f4d\u5143\u4e26\u8981\u6c42\u8f03\u7c21\u55ae\u7684\u7d9c\u5408\u5fb5\u72c0\u6e2c\u91cf\uff0c\u5f9e\u800c\u7c21\u5316\u4e86\u932f\u8aa4\u7cfe\u6b63\u904e\u7a0b\u3002 <\/p>\n<p>\u8868\u9762\u78bc\u56e0\u5176\u9ad8\u9580\u6abb\u932f\u8aa4\u7387\u548c\u5c40\u90e8\u7a69\u5b9a\u5668\u800c\u5ee3\u53d7\u6b61\u8fce\uff0c\u8207 Bacon-Shor \u78bc\u76f8\u6bd4\uff0c\u8868\u9762\u78bc\u5c55\u73fe\u4e86\u4e0d\u540c\u7684\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u65b9\u6cd5\u3002\u96d6\u7136\u5169\u8005\u90fd\u9700\u8981\u57fa\u65bc\u6676\u683c\u7684\u91cf\u5b50\u4f4d\u5143\u653e\u7f6e\uff0c\u4f46\u7531\u65bc\u8868\u9762\u78bc\u5ee3\u6cdb\u4f7f\u7528\u8fd1\u9130\u4e92\u52d5\uff0c\u56e0\u6b64\u5f80\u5f80\u9700\u8981\u8f03\u591a\u7684\u91cf\u5b50\u4f4d\u5143\u3002<\/p>\n<table>\n<tr>\n<th>\u7279\u9ede<\/th>\n<th>\u57f9\u6839-\u7d22\u723e\u4ee3\u78bc<\/th>\n<th>Shor \u4ee3\u78bc<\/th>\n<th>\u8868\u9762\u4ee3\u78bc<\/th>\n<\/tr>\n<tr>\n<td>\u9700\u8981 Qubits<\/td>\n<td>\u964d\u4f4e\u91cf\u5b50\u4f4d\u958b\u92b7<\/td>\n<td>\u6bcf\u500b\u7de8\u78bc\u91cf\u5b50\u4f4d\u5143\u6709 9 \u500b\u91cf\u5b50\u4f4d\u5143<\/td>\n<td>\u53d6\u6c7a\u65bc\u6676\u683c\u5927\u5c0f<\/td>\n<\/tr>\n<tr>\n<td>\u932f\u8aa4\u4fee\u6b63\u65b9\u6cd5<\/td>\n<td>\u5b50\u7cfb\u7d71\u65b9\u6cd5<\/td>\n<td>\u5b50\u7a7a\u9593\u65b9\u6cd5<\/td>\n<td>\u62d3\u6a38\u65b9\u6cd5<\/td>\n<\/tr>\n<tr>\n<td>\u75c7\u5019\u7fa4\u6e2c\u91cf<\/td>\n<td>\u66f4\u7c21\u55ae\uff1b\u66f4\u5c11\u7684\u6e2c\u91cf<\/td>\n<td>\u8907\u96dc\uff1b\u8a31\u591a\u6e2c\u91cf<\/td>\n<td>\u672c\u5730\uff1b\u6700\u8fd1\u9130\u6aa2\u67e5<\/td>\n<\/tr>\n<tr>\n<td>\u5be6\u969b\u61c9\u7528<\/td>\n<td>\u66f4\u5be6\u7528\u3001\u66f4\u7c21\u5316\u7684\u6d41\u7a0b<\/td>\n<td>\u9996\u6b21\u793a\u7bc4\u7a0b\u5f0f\u78bc<\/td>\n<td>\u9ad8\u9580\u6abb\u932f\u8aa4\u7387<\/td>\n<\/tr>\n<\/table>\n<p>\u6211\u5011\u89c0\u5bdf\u5230\u5728\u4e00\u500b <em>Bacon-Shor \u4ee3\u78bc\u6bd4\u8f03<\/em> \u81f3\u5176\u4ed6 <em>\u91cf\u5b50\u7ea0\u9519\u7801<\/em>\u57f9\u6839-\u7d22\u723e\u4ee3\u78bc\u5728\u91cf\u5b50\u904b\u7b97\u9818\u57df\u4e2d\uff0c\u5177\u6709\u5229\u7528\u4fdd\u5229\u7b97\u5b50\u548c\u8f03\u5c11\u7684\u91cf\u5b50\u4f4d\u5143\u8cc7\u6e90\u9700\u6c42\u7b49\u986f\u8457\u7279\u9ede\u3002\u9019\u4e9b\u56e0\u7d20\u4f7f\u5f97 Bacon-Shor \u7de8\u78bc\u6210\u70ba\u91cf\u5b50\u904b\u7b97\u4e2d\u975e\u5e38\u5be6\u7528\u7684\u9078\u64c7\uff0c\u70ba\u9019\u500b\u9769\u547d\u6027\u9818\u57df\u4e2d\u66f4\u53ef\u9760\u7684\u904b\u7b97\u92ea\u8def\u3002<\/p>\n<h2>Bacon-Shor \u6cd5\u5247\u7684\u5be6\u969b\u5f71\u97ff\u8207\u5be6\u65bd<\/h2>\n<p>\u63ed\u958b <strong>Bacon-Shor \u4ee3\u78bc<\/strong> \u7684\u9818\u57df\u4e2d\u53d6\u5f97\u4e86\u5de8\u5927\u7684\u9032\u5c55\u3002 <em>\u5be6\u7528\u91cf\u5b50\u8a08\u7b97<\/em>.\u9019\u7a2e\u5275\u65b0\u7684\u932f\u8aa4\u6821\u6b63\u65b9\u6cd5\u63d0\u9ad8\u4e86\u78ba\u4fdd\u5f37\u5927\u8a08\u7b97\u6240\u9700\u7684\u5fae\u5999\u91cf\u5b50\u72c0\u614b\u7684\u6a19\u6e96\u3002\u6211\u5011\u89c0\u5bdf\u5230\u5b83\u6709\u80fd\u529b\u589e\u5f37\u91cf\u5b50\u8cc7\u8a0a\u7684\u7a69\u5b9a\u6027\u8207\u9577\u6548\u6027\uff0c\u5927\u5e45\u964d\u4f4e\u904e\u53bb\u4e00\u76f4\u56f0\u64fe\u91cf\u5b50\u7cfb\u7d71\u7684\u932f\u8aa4\u908a\u969b\u3002<\/p>\n<p>\u5091\u51fa\u4e4b\u4e00 <strong>\u8aa4\u5dee\u4fee\u6b63\u5f71\u97ff<\/strong> Bacon-Shor \u7a0b\u5f0f\u78bc\u7684\u512a\u9ede\u5728\u65bc\u5b83\u80fd\u5920\u9806\u5229\u6574\u5408\u81f3\u73fe\u6709\u7684\u91cf\u5b50\u904b\u7b97\u67b6\u69cb\u3002\u53ea\u9700\u5c0d\u76ee\u524d\u7684\u8a2d\u8a08\u9032\u884c\u6700\u5c0f\u9650\u5ea6\u7684\u8abf\u6574\uff0c\u8a72\u4ee3\u78bc\u5c31\u80fd\u5f37\u5316\u7cfb\u7d71\uff0c\u4f7f\u5176\u514d\u53d7\u74b0\u5883\u96dc\u8a0a\u548c\u610f\u5916\u4e92\u52d5\u7684\u5f71\u97ff\uff0c\u800c\u9019\u4e9b\u56e0\u7d20\u5c0d\u65bc\u78ba\u4fdd\u91cf\u5b50\u8a08\u7b97\u7684\u5b89\u5168\u6027\u81f3\u95dc\u91cd\u8981\u3002 <em>\u5b89\u5168\u91cf\u5b50\u64cd\u4f5c<\/em>.<\/p>\n<p><picture class=\"edge-images-container\" style=\"--content-visibility: auto; --height: 585px; --max-width: 1024px; --width: 1024px\"><img alt=\"\u5be6\u7528\u91cf\u5b50\u904b\u7b97\" class=\"aligncenter size-large wp-image-505508 edge-images-processed\" decoding=\"async\" height=\"585\" loading=\"lazy\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" src=\"https:\/\/quantumai.b-cdn.net\/width=650,height=371,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Practical-Quantum-Computing.jpg\" srcset=\"https:\/\/quantumai.b-cdn.net\/width=650,height=371,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Practical-Quantum-Computing.jpg 650w, https:\/\/quantumai.b-cdn.net\/width=975,height=557,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Practical-Quantum-Computing.jpg 975w, https:\/\/quantumai.b-cdn.net\/width=1300,height=742,aspect_ratio=force,quality=85,format=auto\/wp-content\/uploads\/2024\/01\/Practical-Quantum-Computing.jpg 1300w\" title=\"\u5be6\u7528\u91cf\u5b50\u904b\u7b97\" width=\"1024\"><\/picture><\/p>\n<p>\u70ba\u4e86\u66f4\u6e05\u695a\u5730\u8aaa\u660e Bacon-Shor \u7de8\u78bc\u7684\u610f\u7fa9\uff0c\u8b93\u6211\u5011\u8003\u616e\u4e00\u500b\u6bd4\u8f03\u8868\uff0c\u4ee5\u7a81\u986f\u6b64\u7de8\u78bc\u76f8\u8f03\u65bc\u50b3\u7d71\u932f\u8aa4\u6821\u6b63\u6a21\u578b\u7684\u5be6\u969b\u512a\u52e2\uff1a<\/p>\n<table>\n<tr>\n<th>\u7279\u9ede<\/th>\n<th>\u57f9\u6839-\u7d22\u723e\u4ee3\u78bc<\/th>\n<th>\u50b3\u7d71\u91cf\u5b50\u932f\u8aa4\u6821\u6b63<\/th>\n<\/tr>\n<tr>\n<td>\u932f\u8aa4\u4fee\u6b63\u958b\u92b7<\/td>\n<td>\u964d\u4f4e<\/td>\n<td>\u901a\u5e38\u8f03\u9ad8<\/td>\n<\/tr>\n<tr>\n<td>\u91cf\u5b50\u72c0\u614b\u7a69\u5b9a\u6027<\/td>\n<td>\u5ef6\u4f38<\/td>\n<td>\u53ef\u8b8a<\/td>\n<\/tr>\n<tr>\n<td>\u57f7\u884c\u8907\u96dc\u6027<\/td>\n<td>\u7c21\u9ad4<\/td>\n<td>\u8907\u96dc<\/td>\n<\/tr>\n<tr>\n<td>\u5bb9\u932f<\/td>\n<td>\u589e\u5f37\u578b<\/td>\n<td>\u6709\u9650\u8cac\u4efb<\/td>\n<\/tr>\n<tr>\n<td>\u5be6\u969b\u61c9\u7528\u6e96\u5099<\/td>\n<td>\u9ad8<\/td>\n<td>\u4e2d\u5ea6<\/td>\n<\/tr>\n<\/table>\n<p>Bacon-Shor \u7a0b\u5f0f\u78bc\u4f7f\u7528\u66f4\u5bb9\u6613\u7ba1\u7406\u7684\u7a69\u5b9a\u5668\u548c\u8a08\u6578\u904b\u7b97\u7b26\u865f\u96c6\u4f86\u4fc3\u9032\u5bb9\u932f\u548c\u7cfe\u932f\uff0c\u5f9e\u800c\u63d0\u5347\u4e86 <b>\u5be6\u7528\u91cf\u5b50\u8a08\u7b97<\/b> \u8207\u76ee\u524d\u7684\u6280\u8853\u80fd\u529b\u7dca\u5bc6\u7d50\u5408\u3002\u9019\u7a2e\u5728\u91cf\u5b50\u79d1\u6280\u9032\u7a0b\u4e2d\u7684\u95dc\u9375\u89d2\u8272\uff0c\u978f\u56fa\u4e86 Bacon-Shor \u4ee3\u78bc\u4e0d\u50c5\u662f\u7406\u8ad6\u4e0a\u7684\u5efa\u69cb\uff0c\u66f4\u662f\u65e5\u76ca\u53ef\u5be6\u73fe\u7684\u91cf\u5b50\u672a\u4f86\u7684\u57fa\u77f3\u3002<\/p>\n<p>\u672c\u8cea\u4e0a\uff0c\u91cf\u5b50\u904b\u7b97\u7684\u6301\u7e8c\u9032\u6b65\u4ecd\u8207\u4e3b\u5f35\u6548\u7387\u8207\u5b89\u5168\u6027\u7684\u932f\u8aa4\u4fee\u6b63\u7de8\u78bc\u5bc6\u4e0d\u53ef\u5206\u3002Bacon-Shor \u7de8\u78bc\u5728\u9019\u4e9b\u7de8\u78bc\u4e2d\u50b2\u7136\u633a\u7acb\uff0c\u96a8\u6642\u6e96\u5099\u90e8\u7f72\u5728\u6700\u5148\u9032\u7684\u7cfb\u7d71\u4e2d\uff0c\u70ba\u5b89\u5168\u53ef\u9760\u7684\u91cf\u5b50\u8cc7\u8a0a\u8655\u7406\u5e36\u4f86\u65b0\u7684\u66d9\u5149\u3002\u6211\u5011\u5c0d\u5176\u80fd\u529b\u7684\u6301\u7e8c\u63a2\u7d22\u548c\u64f4\u5c55\uff0c\u9810\u793a\u8457\u91cf\u5b50\u904b\u7b97\u6642\u4ee3\u4ee4\u4eba\u632f\u596e\u7684\u6f5b\u529b\u3002<\/p>\n<h2>\u900f\u904e Bacon-Shor \u7de8\u78bc\u5f37\u5316\u8cc7\u8a0a\u5b89\u5168\u6027<\/h2>\n<p>\u5728\u6578\u4f4d\u5b89\u5168\u4e0d\u65b7\u6f14\u9032\u7684\u74b0\u5883\u4e2d\uff0c\u5c0e\u5165\u548c\u6574\u5408 <em>Bacon-Shor \u4ee3\u78bc<\/em> \u7684\u7a81\u7834\u6027\u9032\u5c55\u3002 <strong>\u8cc7\u8a0a\u5b89\u5168<\/strong>.\u5404\u884c\u5404\u696d\u90fd\u5728\u52aa\u529b\u61c9\u5c0d\u4fdd\u8b77\u654f\u611f\u8cc7\u6599\u514d\u53d7\u65e5\u76ca\u8907\u96dc\u7684\u5a01\u8105\u9019\u4e00\u56b4\u5cfb\u6311\u6230\u3001 <b>\u6297\u91cf\u5b50\u52a0\u5bc6<\/b> \u958b\u5275\u5f37\u5927\u7684\u65b0\u6642\u4ee3 <strong>\u96b1\u79c1\u6b0a\u4fdd\u8b77<\/strong>.<\/p>\n<p>\u9019\u5834\u9769\u547d\u7684\u6838\u5fc3\u662f <strong>Bacon-Shor \u4ee3\u78bc<\/strong>\uff0c\u5b83\u4e0d\u50c5\u9650\u65bc\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u7684\u539f\u59cb\u76ee\u7684\uff0c\u73fe\u5728\u4e5f\u5728\u8a2d\u8a08\u6700\u5148\u9032\u7684 <strong>\u52a0\u5bc6\u7b97\u6cd5<\/strong>.\u6b64\u4ee3\u78bc\u5728\u78ba\u4fdd <strong>\u8cc7\u6599\u50b3\u8f38<\/strong> \u91dd\u5c0d\u91cf\u5b50\u904b\u7b97\u80fd\u529b\u6240\u69cb\u6210\u7684\u6f5b\u5728\u672a\u4f86\u5a01\u8105\uff0c\u4ee5\u91cf\u5b50\u9632\u8b77\u7f69\u4fdd\u8b77\u7d93\u5178\u52a0\u5bc6\u65b9\u6cd5\u3002<\/p>\n<h3>\u8cc7\u6599\u50b3\u8f38\u52a0\u5bc6\u6f14\u7b97\u6cd5\u7684\u512a\u9ede<\/h3>\n<p>\u6211\u5011\u4e86\u89e3\u50b3\u7d71\u7684\u52a0\u5bc6\u65b9\u6cd5\u5728\u91cf\u5b50\u96fb\u8166\u7684\u5f37\u5927\u8655\u7406\u80fd\u529b\u9762\u524d\u5f88\u8106\u5f31\u3002\u9019\u7a2e\u6613\u53d7\u5f71\u97ff\u6027\u70ba\u8de8\u9818\u57df\u7684\u6a5f\u5bc6\u8cc7\u8a0a\u50b3\u8f38\u5e36\u4f86\u4e86\u5de8\u5927\u7684\u98a8\u96aa\u3002\u7136\u800c\uff0c\u4f7f\u7528 Bacon-Shor \u7de8\u78bc\u5f37\u5316\u7684\u52a0\u5bc6\u6f14\u7b97\u6cd5\u63d0\u4f9b\u4e86\u7a4d\u6975\u7684\u89e3\u6c7a\u65b9\u6848\uff0c\u53ef\u78ba\u4fdd\u901a\u8a0a\u4e0d\u53d7\u91cf\u5b50\u89e3\u5bc6\u6280\u8853\u7684\u5165\u4fb5\u3002\u9019\u9805\u7a81\u7834 <strong>\u52a0\u5bc6\u7b97\u6cd5<\/strong> \u8a2d\u8a08\u986f\u793a\u51fa\u4fdd\u969c\u6027\u7684\u8e8d\u9032\uff0c\u70ba\u50b3\u8f38\u8cc7\u6599\u7684\u6bcf\u500b\u4f4d\u5143\u7d44\u63d0\u4f9b\u5148\u9032\u7684\u5b89\u5168\u5c64\u7d1a\u3002<\/p>\n<h3>\u91cf\u5b50\u52a0\u5bc6\u548c\u96b1\u79c1\u4fdd\u8b77<\/h3>\n<p>\u6211\u5011\u7684\u627f\u8afe <strong>\u96b1\u79c1\u6b0a\u4fdd\u8b77<\/strong> \u8b93\u6211\u5011\u64c1\u62b1 <b>\u6297\u91cf\u5b50\u52a0\u5bc6<\/b>.Bacon-Shor \u5bc6\u78bc\u5728\u9019\u4e00\u9632\u79a6\u7b56\u7565\u4e2d\u8d77\u8457\u95dc\u9375\u4f5c\u7528\uff0c\u5b83\u63d0\u4f9b\u4e86\u4e00\u7a2e\u5728\u91cf\u5b50\u8a08\u7b97\u6f14\u9032\u904e\u7a0b\u4e2d\u4f9d\u7136\u5f37\u5927\u7684\u52a0\u5bc6\u6280\u8853\u3002\u6709\u4e86 Bacon-Shor \u5bc6\u78bc\uff0c\u6211\u5011\u5c31\u80fd\u7dad\u8b77\u95dc\u9375\u8cc7\u8a0a\u7684\u5b8c\u6574\u6027\u548c\u6a5f\u5bc6\u6027\uff0c\u9810\u793a\u8457\u6578\u4f4d\u5b89\u5168\u7684\u65b0\u7bc7\u7ae0\u5c07\u4ee5\u7121\u8207\u502b\u6bd4\u7684\u5fa9\u539f\u529b\u548c\u4fe1\u4efb\u5ea6\u70ba\u6a19\u8a8c\u3002<\/p>\n<h2>\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u8207 Bacon-Shor \u7de8\u78bc\u7684\u672a\u4f86<\/h2>\n<p>\u7576\u6211\u5011\u7ad9\u5728\u91cf\u5b50\u79d1\u6280\u7a7a\u524d\u9032\u6b65\u7684\u61f8\u5d16\u908a\u6642\uff0c\u91cf\u5b50\u932f\u8aa4\u4fee\u6b63\u7684\u89d2\u8272\u8b8a\u5f97\u975e\u5e38\u91cd\u8981\u3002Bacon-Shor \u7de8\u78bc\u662f\u9019\u4e00\u524d\u6cbf\u9818\u57df\u7684\u6838\u5fc3\uff0c\u662f\u5f15\u9818\u6211\u5011\u9081\u5411\u91cf\u5b50\u8a08\u7b97\u65b0\u6642\u4ee3\u7684\u71c8\u5854\u3002\u6b63\u662f\u9019\u7a2e\u7de8\u78bc\u7684\u9069\u61c9\u6027\u548c\u9762\u5411\u672a\u4f86\u6027\u5c07\u652f\u6490\u8457\u91cf\u5b50\u8a08\u7b97\u7684\u58fd\u547d\u548c\u529f\u80fd\u3002 <b>\u63a8\u9032\u91cf\u5b50\u786c\u9ad4<\/b>.<\/p>\n<h3>\u8207\u91cf\u5b50\u786c\u9ad4\u540c\u6b65\u767c\u5c55<\/h3>\n<p>\u70ba\u4e86\u78ba\u4fdd Bacon-Shor \u7de8\u78bc\u5728\u91cf\u5b50\u904b\u7b97\u7684\u52d5\u614b\u74b0\u5883\u4e2d\u7dad\u6301\u76f8\u95dc\u6027\uff0c\u6211\u5011\u5fc5\u9808\u8a8d\u6e05\u5176\u8207\u786c\u9ad4\u9032\u6b65\u5171\u751f\u95dc\u4fc2\u7684\u91cd\u8981\u6027\u3002\u53ef\u64f4\u5145\u6027\u9019\u500b\u8ff4\u97ff\u5728\u672a\u4f86\u91cf\u5b50\u7cfe\u932f\u4e2d\u7684\u8a5e\u5f59\uff0c\u65e2\u662f\u6311\u6230\uff0c\u4e5f\u662f\u91cd\u65b0\u5b9a\u7fa9\u53ef\u80fd\u53c3\u6578\u7684\u6a5f\u6703\u3002\u96a8\u8457\u91cf\u5b50\u7cfb\u7d71\u6108\u4f86\u6108\u8907\u96dc\uff0cBacon-Shor \u7a0b\u5f0f\u78bc\u4e5f\u5fc5\u9808\u540c\u6b65\u6f14\u9032\uff0c\u4ee5\u9069\u61c9\u4e0d\u65b7\u64f4\u5c55\u7684\u91cf\u5b50\u5b87\u5b99\u7684\u7d30\u5fae\u5dee\u7570\u3002<\/p>\n<h3>\u8de8\u9818\u57df\u5408\u4f5c\u5728\u7cfe\u932f\u4e2d\u7684\u4f5c\u7528<\/h3>\n<p>\u7576\u7269\u7406\u5b78\u5bb6\u3001\u96fb\u8166\u79d1\u5b78\u5bb6\u548c\u5de5\u7a0b\u5e2b\u4ee5\u5275\u65b0\u7684\u540d\u7fa9\u532f\u805a\u5728\u4e00\u8d77\u6642\uff0c\u5c31\u6703\u7522\u751f\u986f\u8457\u7684\u5354\u540c\u6548\u61c9\u3002\u8de8\u9818\u57df\u5408\u4f5c\u4e0d\u50c5\u6709\u76ca\uff0c\u5c0d\u65bc\u5be6\u73fe Bacon-Shor \u7de8\u78bc\u7684\u627f\u8afe\u66f4\u662f\u4e0d\u53ef\u6216\u7f3a\u3002\u900f\u904e\u7d50\u5408\u4e0d\u540c\u7684\u5c08\u696d\u77e5\u8b58\uff0c\u6211\u5011\u70ba\u672a\u4f86\u91cf\u5b50\u786c\u9ad4\u8a2d\u8a08\u7684\u7cbe\u5bc6\u932f\u8aa4\u4fee\u6b63\u6a21\u578b\u92ea\u5e73\u4e86\u9053\u8def\u3002\u6b63\u662f\u900f\u904e\u9019\u4e9b\u5718\u7d50\u4e00\u81f4\u7684\u52aa\u529b\uff0c\u6211\u5011\u7684 <b>\u91cf\u5b50\u7cfe\u932f\u7684\u672a\u4f86<\/b> \u4e0d\u518d\u662f\u9059\u4e0d\u53ef\u53ca\u7684\u5922\u60f3\uff0c\u800c\u662f\u53ef\u4ee5\u5be6\u73fe\u7684\u73fe\u5be6\uff0c\u70ba\u6211\u5011\u7684\u8a08\u7b97\u80fd\u529b\u5e36\u4f86\u9769\u547d\u6027\u7684\u6539\u8b8a\u3002<\/p>\n<table>\n<tr>\n<th>\u91cf\u5b50\u786c\u9ad4\u76ee\u524d\u9762\u81e8\u7684\u6311\u6230<\/th>\n<th>\u7cfe\u932f\u7684\u8de8\u5b78\u79d1\u65b9\u6cd5<\/th>\n<\/tr>\n<tr>\n<td>\u91cf\u5b50\u4f4d\u5143 (Qubits) \u7684\u53ef\u64f4\u5c55\u6027<\/td>\n<td>\u958b\u767c\u652f\u63f4\u5927\u578b\u7cfb\u7d71\u7684\u932f\u8aa4\u4fee\u6b63\u6f14\u7b97\u6cd5<\/td>\n<\/tr>\n<tr>\n<td>\u9694\u96e2 Qubits \u8207\u74b0\u5883\u566a\u97f3<\/td>\n<td>\u6700\u4f73\u5316\u6750\u6599\u79d1\u5b78\u8207\u5de5\u7a0b\u89e3\u6c7a\u65b9\u6848<\/td>\n<\/tr>\n<tr>\n<td>\u6821\u6e96 Qubit \u64cd\u4f5c<\/td>\n<td>\u5c07\u5148\u9032\u7684\u96fb\u8166\u79d1\u5b78\u6280\u8853\u61c9\u7528\u65bc\u6821\u6b63\u901a\u8a0a\u5354\u5b9a<\/td>\n<\/tr>\n<tr>\n<td>\u5373\u6642\u932f\u8aa4\u6821\u6b63<\/td>\n<td>\u5229\u7528\u6a5f\u5668\u5b78\u7fd2\u7684\u9810\u6e2c\u4fee\u6b63\u65b9\u6cd5<\/td>\n<\/tr>\n<\/table>\n<h2>\u5f9e\u7406\u8ad6\u5230\u5be6\u8e10\uff1a\u8c9d\u80af\u7d22\u78bc\u7684\u524d\u9032\u9053\u8def<\/h2>\n<p>\u7684\u8ecc\u8de1 <em>Bacon-Shor \u4ee3\u78bc<\/em> \u662f\u4e00\u9805\u5178\u578b\u7684\u79d1\u5b78\u52aa\u529b\uff1a\u5f9e\u5805\u56fa\u7684\u7406\u8ad6\u57fa\u790e\u904e\u6e21\u5230\u5f37\u5927\u7684\u5be6\u969b\u61c9\u7528\u3002\u6211\u5011\u6b63\u5728\u9032\u884c\u7684\u65c5\u7a0b\u53cd\u6620\u51fa <strong>\u4e0b\u4e00\u4ee3\u91cf\u5b50\u8a08\u7b97<\/strong>\u958b\u5275\u4e86\u4e00\u500b <strong>\u5bb9\u932f\u67b6\u69cb<\/strong> \u9019\u4e0d\u50c5\u662f\u7406\u60f3\u7684\u76ee\u6a19\uff0c\u66f4\u662f\u8feb\u5728\u7709\u776b\u7684\u73fe\u5be6\u3002\u7576\u6211\u5011\u7ad9\u5728\u9019\u500b\u95dc\u9375\u6642\u523b\uff0c\u8b93\u6211\u5011\u95e1\u660e\u7b56\u7565\u6b65\u9a5f\uff0c\u6539\u8b8a\u6211\u5011\u5229\u7528\u91cf\u5b50\u904b\u7b97\u529b\u91cf\u7684\u65b9\u5f0f\u3002<\/p>\n<p><iframe loading=\"lazy\" title=\"AQIS &#039;20: Michael Newman, Fault-tolerant Operation of a Bacon-Shor Encoded Qubit\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/jpygRc2zD08?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>\u9996\u5148\uff0c\u5f9e\u7406\u8ad6\u7406\u89e3\u5230\u5be6\u7528\u6027\u7684\u63d0\u5347\u6d89\u53ca\u5230\u5c0d\u7814\u7a76\u548c\u958b\u767c\u7684\u5805\u5b9a\u627f\u8afe\u3002\u5728\u6211\u5011\u7684\u6848\u4f8b\u4e2d\uff0c\u9019\u9700\u8981\u7cbe\u901a\u91cf\u5b50\u529b\u5b78\u8907\u96dc\u6578\u5b78\u7684\u7269\u7406\u5b78\u5bb6\u8207\u8ca0\u8cac\u5be6\u73fe\u9ad8\u5ea6\u8907\u96dc\u8edf\u786c\u9ad4\u7cfb\u7d71\u7684\u5de5\u7a0b\u5e2b\u4e4b\u9593\u7684\u5354\u540c\u5408\u4f5c\u3002\u5728\u9019\u5169\u500b\u9818\u57df\u4e4b\u9593\u53d6\u5f97\u5e73\u8861\uff0c\u5c0d\u65bc\u90e8\u7f72\u300c\u91cf\u5b50\u908f\u8f2f\u300d\u7cfb\u7d71\u81f3\u95dc\u91cd\u8981\u3002 <em>Bacon-Shor \u4ee3\u78bc<\/em> \u5728\u73fe\u5be6\u4e16\u754c\u7684\u91cf\u5b50\u7cfb\u7d71\u4e2d\u3002\u6b63\u662f\u9019\u7a2e\u5e73\u8861\u63a8\u52d5\u6211\u5011\u5411\u524d\u9081\u9032\uff0c\u4f7f Bacon-Shor \u4ee3\u78bc\u80fd\u5920\u5f9e <b>\u7406\u8ad6\u5230\u5be6\u8e10<\/b>.<\/p>\n<ul>\n<li>\u64f4\u5c55\u932f\u8aa4\u4fee\u6b63\u7b56\u7565\uff0c\u4ee5\u5bb9\u7d0d\u4e0d\u65b7\u589e\u52a0\u7684\u91cf\u5b50\u4f4d\u5143\u3002<\/li>\n<li>\u57f9\u990a\u5c0d\u74b0\u5883\u7684\u4e86\u89e3 <b>\u9000\u76f8\u5e72\u6027<\/b> \u4ee5\u52a0\u5f37\u91cf\u5b50\u96fb\u8def\u7684\u5bb9\u932f\u80fd\u529b\u3002<\/li>\n<li>\u63a8\u9032\u91cf\u5b50\u88dd\u7f6e\u7684\u88fd\u9020\u8207\u6821\u6b63\uff0c\u4ee5\u63d0\u9ad8\u7cfb\u7d71\u7684\u53ef\u9760\u6027\u3002<\/li>\n<li>\u5c07 Bacon-Shor \u7de8\u78bc\u539f\u5247\u6574\u5408\u5230\u786c\u9ad4\u8a2d\u8a08\u4e2d\uff0c\u4ee5\u63d0\u9ad8\u6548\u7387\u548c\u64f4\u5145\u6027\u3002<\/li>\n<\/ul>\n<p>\u5728\u52aa\u529b\u9054\u6210\u9019\u4e9b\u76ee\u6a19\u7684\u904e\u7a0b\u4e2d\uff0c\u6211\u5011\u627f\u8a8d\u5805\u97cc\u8207\u5275\u65b0\u7684\u91cd\u8981\u6027\u3002\u66fe\u7d93\u4f5c\u70ba\u7406\u8ad6\u5148\u9a45\u7684 Bacon-Shor \u7a0b\u5f0f\u78bc\uff0c\u73fe\u5728\u6b63\u9081\u5411\u6210\u70ba\u5be6\u969b\u91cf\u5b50\u904b\u7b97\u5e73\u53f0\u57fa\u77f3\u7684\u5805\u5b9a\u9053\u8def\u3002\u6211\u5011\u5df2\u7d93\u6e96\u5099\u597d\u8de8\u904e\u9019\u9053\u9580\u6abb\uff0c\u5728\u9019\u9053\u9580\u6abb\u4e0a\uff0c\u8207\u8a72\u4ee3\u78bc\u76f8\u95dc\u7684\u6bcf\u4e00\u500b\u7406\u8ad6\u6d1e\u5bdf\u529b\u90fd\u5c07\u8715\u8b8a\u70ba\u5be6\u5be6\u5728\u5728\u7684\u5229\u76ca\u3002\u672c\u8cea\u4e0a <strong>\u7406\u8ad6\u5230\u5be6\u8e10<\/strong> \u7ffb\u8b6f\u662f\u91cf\u5b50\u9818\u57df\u4e2d\u4eba\u985e\u667a\u6167\u7684\u751f\u52d5\u898b\u8b49\u3002<\/p>\n<p>\u6700\u7d42\uff0c\u6211\u5011\u6240\u61a7\u61ac\u7684\u672a\u4f86\u662f\u5bb9\u932f\u91cf\u5b50\u96fb\u8166\u80fd\u91cd\u5851\u6211\u5011\u5728\u79d1\u5b78\u8207\u6280\u8853\u4e0a\u7684\u80fd\u529b\u3002\u5728\u9019\u500b\u5149\u660e\u7684\u672a\u4f86\uff0cBacon-Shor \u7a0b\u5f0f\u78bc\u5c07\u6709\u52a9\u65bc\u514b\u670d\u932f\u8aa4\u4fee\u6b63\u7684\u969c\u7919\uff0c\u63d0\u4f9b\u4e00\u500b\u5b89\u5168\u4e14\u6709\u5f48\u6027\u7684\u57fa\u790e\u3002\u5728\u9019\u500b\u4ee4\u4eba\u632f\u596e\u7684\u91cf\u5b50\u904b\u7b97\u9818\u57df\u4e2d\uff0c\u6211\u5011\u4e0d\u50c5\u662f\u89c0\u5bdf\u8005\uff0c\u66f4\u662f\u7a4d\u6975\u7684\u5efa\u7bc9\u5e2b\u3002\u6211\u5011\u7e7c\u7e8c\u524d\u9032\uff1b\u5f9e\u7406\u8ad6\u7684\u767d\u677f\u5230\u5be6\u8e10\u7684\u77fd\u6676\u7247\uff0c\u70ba Bacon-Shor \u7de8\u78bc\u548c\u6574\u500b\u91cf\u5b50\u904b\u7b97\u958b\u95e2\u524d\u9032\u7684\u9053\u8def\u3002<\/p>\n<h2>\u5229\u7528 Bacon-Shor \u7de8\u78bc\u91cb\u653e\u91cf\u5b50\u904b\u7b97\u7684\u6f5b\u80fd<\/h2>\n<p>\u7576\u6211\u5011\u6df1\u5165\u63a2\u7d22\u9f90\u5927\u7684 <b>\u91cf\u5b50\u904b\u7b97\u7684\u6f5b\u529b<\/b>Bacon-Shor \u4ee3\u78bc\u6240\u5e36\u4f86\u7684\u5275\u65b0\uff0c\u4ee3\u8868\u8457\u672a\u4f86\u9032\u6b65\u7684\u57fa\u77f3\u3002\u8a72\u4ee3\u78bc\u8207\u79d1\u6280\u9032\u6b65\u76f8\u7d50\u5408\u7684\u80fd\u529b\uff0c\u70ba\u64f4\u5927\u91cf\u5b50\u8a08\u7b97\u6a5f\u7684\u53ef\u64f4\u5c55\u6027\u958b\u95e2\u4e86\u4e00\u689d\u524d\u666f\u5149\u660e\u7684\u9053\u8def\u3002\u9019\u4e0d\u50c5\u95dc\u4e4e\u6578\u91cf\u7684\u589e\u52a0\uff0c\u9084\u95dc\u4e4e\u5982\u4f55\u4fdd\u7559\u7cfe\u7e8f\u7684\u91cf\u5b50\u72c0\u614b\uff0c\u6b63\u662f\u9019\u4e9b\u91cf\u5b50\u72c0\u614b\u8ce6\u4e88\u4e86\u9019\u4e9b\u6a5f\u5668\u524d\u6240\u672a\u6709\u7684\u529b\u91cf\u3002Bacon-Shor \u7de8\u78bc\u5728\u4e0d\u65b7\u64f4\u5927\u7684\u91cf\u5b50\u4f4d\u5143\u7db2\u8def\u4e2d\u7dad\u6301\u4e00\u81f4\u6027\u7684\u56fa\u6709\u80fd\u529b\uff0c\u70ba\u8a08\u7b97\u80fd\u529b\u7684\u65b0\u6642\u4ee3\u92ea\u5e73\u4e86\u9053\u8def\uff0c\u5728\u9019\u500b\u6642\u4ee3\u4e2d\uff0c\u6a5f\u5668\u53ef\u4ee5\u7ba1\u7406\u8907\u96dc\u5ea6\u9a5a\u4eba\u7684\u4efb\u52d9\u3002<\/p>\n<h3>\u91cf\u5b50\u96fb\u8166\u64f4\u5145\u7684\u524d\u666f<\/h3>\n<p>\u5728\u91cf\u5b50\u9818\u57df\uff0c\u5927\u5c0f\u5f88\u91cd\u8981\u3002\u6211\u5011\u64f4\u5c55\u91cf\u5b50\u96fb\u8166\u7684\u80fd\u529b\u53d6\u6c7a\u65bc\u5c0d\u932f\u8aa4\u4fee\u6b63\u7684\u638c\u63e1--\u9019\u662f Bacon-Shor \u7de8\u78bc\u6700\u64c5\u9577\u7684\u6280\u80fd\u3002\u96a8\u8457\u6211\u5011\u63a8\u9032\u91cf\u5b50\u7cfb\u7d71\u7684\u908a\u754c\uff0c\u7cbe\u5fc3\u5b89\u6392\u7121\u6578\u7684\u91cf\u5b50\u4f4d\u5143 - \u6bcf\u500b\u90fd\u53ef\u80fd\u662f\u8a08\u7b97\u548c\u7e8f\u7e5e\u7684\u95dc\u806f\u9ede - \u5c07\u8b8a\u5f97\u66f4\u52a0\u53ef\u884c\u3002\u900f\u904e\u5229\u7528\u7de8\u78bc\u7684\u80fd\u529b\uff0c\u6211\u5011\u53ef\u4ee5\u5c55\u671b\u5927\u578b\u91cf\u5b50\u96fb\u8166\u5f9e\u6982\u5ff5\u767c\u5c55\u5230\u5177\u9ad4\u5be6\u73fe\u7684\u5730\u5e73\u7dda\uff0c\u4ee5\u53ca\u91cf\u5b50\u4f4d\u5143\u7db2\u8def\u7cbe\u78ba\u53ef\u9760\u5730\u904b\u4f5c\u7684\u5730\u5e73\u7dda\u3002<\/p>\n<h3>\u5be6\u73fe\u8907\u96dc\u904b\u7b97\u8207\u91cf\u5b50\u901f\u5ea6\u6975\u9650<\/h3>\n<p>\u540c\u6a23\u4ee4\u4eba\u5fc3\u52d5\u7684\u662f\uff0c\u6211\u5011\u53ef\u4ee5\u5c07\u8a08\u7b97\u901f\u5ea6\u63d0\u5347\u5230\u8fc4\u4eca\u70ba\u6b62\u7684\u7406\u8ad6\u6c34\u5e73\u3002 <b>\u91cf\u5b50\u9650\u901f\u3002<\/b> Bacon-Shor \u7a0b\u5f0f\u78bc\u4e0d\u53ea\u662f\u4fee\u6b63\u5fae\u5c0f\u7684\u91cf\u5b50\u504f\u79fb\uff1b\u5b83\u662f\u8907\u96dc\u6027\u7684\u52a9\u63a8\u5668\uff0c\u4e5f\u662f\u901f\u5ea6\u7684\u4fc3\u9032\u5668\uff0c\u5176\u901f\u5ea6\u8db3\u4ee5\u8b93\u6211\u5011\u6700\u654f\u6377\u7684\u53e4\u5178\u96fb\u8166\u76f8\u5f62\u898b\u62d9\u3002\u6b63\u662f\u5728\u9019\u500b\u5feb\u901f\u8cc7\u6599\u8655\u7406\u548c\u7121\u8aa4\u4fdd\u771f\u7684\u7a00\u6709\u7a7a\u9593\u4e2d\uff0c\u771f\u6b63\u7684 <b>\u91cf\u5b50\u904b\u7b97\u7684\u6f5b\u529b<\/b> \u5c07\u5728\u57f9\u6839-\u7d22\u723e\u5bc6\u78bc\u7684\u5275\u65b0\u6b65\u4f10\u5f15\u9818\u4e0b\u5f97\u4ee5\u5be6\u73fe\u3002\u6709\u4e86\u9019\u6a23\u7684\u767c\u5c55\uff0c\u6211\u5011\u6b63\u7a4d\u6975\u91cd\u65b0\u5283\u5b9a\u79d1\u5b78\u767c\u73fe\u548c\u6280\u8853\u5275\u65b0\u7684\u754c\u9650\uff0c\u63a2\u7d22\u6709\u671b\u91cd\u5851\u6211\u5011\u4e16\u754c\u7684\u65b0\u9818\u57df\u3002<\/p>\n<section class=\"FAQPage\">\n<h2>\u5e38\u898b\u554f\u984c<\/h2>\n<div>\n<h3>\u4ec0\u9ebc\u662f Bacon-Shor \u7de8\u78bc\uff0c\u5b83\u8207\u91cf\u5b50\u904b\u7b97\u6709\u4f55\u95dc\u806f\uff1f<\/h3>\n<div>\n<div>\n<p>\u57f9\u6839-\u7d22\u78bc\u662f\u4e00\u500b <b>\u932f\u8aa4\u4fee\u6b63\u78bc<\/b> \u5c08\u70ba\u91cf\u5b50\u96fb\u8166\u8a2d\u8a08\u3002\u5b83\u7684\u76f8\u95dc\u6027\u5728\u65bc\u5b83\u80fd\u900f\u904e\u66f4\u76f4\u63a5\u7684\u932f\u8aa4\u4fee\u6b63\u7a0b\u5e8f\uff0c\u589e\u5f37\u91cf\u5b50\u9818\u57df\u4e2d\u8cc7\u6599\u8655\u7406\u7684\u53ef\u9760\u6027\u8207\u5b89\u5168\u6027\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>\u70ba\u4ec0\u9ebc\u932f\u8aa4\u4fee\u6b63\u662f\u91cf\u5b50\u904b\u7b97\u5982\u6b64\u91cd\u8981\u7684\u4e00\u74b0\uff1f<\/h3>\n<div>\n<div>\n<p>\u932f\u8aa4\u4fee\u6b63\u5728\u91cf\u5b50\u904b\u7b97\u4e2d\u81f3\u95dc\u91cd\u8981\uff0c\u56e0\u70ba\u91cf\u5b50\u7cfb\u7d71\u5c0d\u65bc <b>\u74b0\u5883\u5e72\u64fe<\/b> \u548c\u9000\u76f8\u5e72\u3002\u9019\u4e9b\u56e0\u7d20\u6703\u5c0e\u81f4\u8cc7\u8a0a\u907a\u5931\uff0c\u56e0\u6b64\u5f37\u5927\u7684\u932f\u8aa4\u4fee\u6b63\u65b9\u6cd5\u5c0d\u65bc\u7dad\u6301 <b>\u91cf\u5b50\u8cc7\u8a0a\u5b89\u5168\u3002<\/b><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u78bc\u8207\u5176\u4ed6\u91cf\u5b50\u7ea0\u932f\u78bc\u6709\u4f55\u4e0d\u540c\uff1f<\/h3>\n<div>\n<div>\n<p>\u5176\u4ed6\u91cf\u5b50\u7ea0\u9519\u7801\u662f\u5728\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u7684\u5b50\u7a7a\u95f4\u5185\u5bf9\u4fe1\u606f\u8fdb\u884c\u7f16\u7801\uff0c\u4e0e\u6b64\u4e0d\u540c\uff0cBacon-Shor \u7801\u5229\u7528\u7684\u662f\u5b50\u7cfb\u7edf\u3002\u9019\u6a23\u53ef\u4ee5\u66f4\u5bb9\u6613\u8b58\u5225\u548c\u4fee\u6b63\u932f\u8aa4\uff0c\u4e26\u7c21\u5316\u6574\u9ad4\u7684\u932f\u8aa4\u4fee\u6b63\u904e\u7a0b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>\u5b50\u7cfb\u7d71\u7de8\u78bc\u6bd4\u5b50\u7a7a\u9593\u7de8\u78bc\u6709\u4ec0\u9ebc\u512a\u9ede\uff1f<\/h3>\n<div>\n<div>\n<p>\u5b50\u7cfb\u7d71\u7de8\u78bc\uff08\u5982 Bacon-Shor \u7de8\u78bc\uff09\u7684\u512a\u9ede\u662f\u6709\u52a9\u65bc\u7c21\u5316\u932f\u8aa4\u4fee\u6b63\u7a0b\u5e8f\u3002\u9019\u662f\u7531\u65bc\u5b83\u5011\u7b56\u7565\u6027\u5730\u5c07 Hilbert \u7a7a\u9593\u5206\u5272\u6210\u5b50\u7cfb\u7d71\uff0c\u9032\u800c\u7522\u751f\u66f4\u6709\u6548\u7387\u7684\u932f\u8aa4\u4fee\u6b63\u7a0b\u5e8f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>\u8ab0\u958b\u767c\u4e86 Bacon-Shor \u7a0b\u5f0f\u78bc\uff1f\u70ba\u4ec0\u9ebc\u5b83\u5f88\u91cd\u8981\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7a0b\u5f0f\u78bc\u662f\u7531 Dave Bacon \u548c Peter Shor \u6240\u958b\u767c\u3002\u5176\u91cd\u8981\u6027\u5728\u65bc\u4ed6\u5011\u7684\u5de5\u4f5c\u5960\u5b9a\u4e86\u5bb9\u932f\u91cf\u5b50\u904b\u7b97\u7684\u57fa\u790e\uff0c\u6a19\u8a8c\u8457\u9081\u5411\u5b89\u5168\u91cf\u5b50\u8cc7\u6599\u8655\u7406\u7684\u95dc\u9375\u4e00\u6b65\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u7a0b\u5f0f\u78bc\u4e2d\u7684\u7db2\u683c\u4f48\u5c40\u5982\u4f55\u904b\u4f5c\uff1f<\/h3>\n<div>\n<div>\n<p>\u5728 Bacon-Shor \u4ee3\u78bc\u4e2d\uff0c\u91cf\u5b50\u4f4d\u5143\u4ee5\u6b63\u65b9\u5f62\u6676\u683c\u7db2\u683c\u4f48\u5c40\u6392\u5217\uff0c\u6bcf\u500b\u91cf\u5b50\u4f4d\u5143\u90fd\u653e\u7f6e\u5728\u9802\u9ede\u3002\u6b64\u914d\u7f6e\u8207\u5e95\u5c64\u7684\u898f\u683c\u7fa4\u7d44\u4e00\u81f4\uff0c\u4f7f\u5f97\u900f\u904e\u6700\u8fd1\u9130\u4e92\u52d5\u4f86\u8b58\u5225\u932f\u8aa4\u7684\u904e\u7a0b\u66f4\u6709\u6548\u7387\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>\u7a69\u5b9a\u5b50\u7522\u751f\u5668\u548c\u898f\u5f8b\u7fa4\u5728 Bacon-Shor \u7de8\u78bc\u4e2d\u626e\u6f14\u4ec0\u9ebc\u89d2\u8272\uff1f<\/h3>\n<div>\n<div>\n<p>\u7a69\u5b9a\u5668\u7522\u751f\u5668\u548c\u91cf\u5b50\u7fa4\u662f\u964d\u4f4e Bacon-Shor \u7de8\u78bc\u5167\u932f\u8aa4\u4fee\u6b63\u8907\u96dc\u6027\u7684\u95dc\u9375\u5143\u4ef6\u3002\u9019\u4e9b\u5143\u4ef6\u6709\u52a9\u65bc\u4ee5\u8f03\u5c11\u7684\u8cc7\u6e90\u6709\u6548\u91cf\u6e2c\u91cf\u5b50\u8aa4\u5dee\uff0c\u4e26\u53ef\u9032\u884c\u5169\u500b\u91cf\u5b50\u4f4d\u5143\u8fd1\u9130\u91cf\u6e2c\uff0c\u4ee5\u8a3a\u65b7\u8aa4\u5dee\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u7de8\u78bc\u4fc3\u9032\u4e86\u91cf\u5b50\u904b\u7b97\u7684\u54ea\u4e9b\u7a81\u7834\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7de8\u78bc\u9996\u6b21\u5c55\u793a\u4e86\u5bb9\u932f\u91cf\u5b50\u96fb\u8def\u3002\u5b83\u80fd\u8b93\u91cf\u5b50\u96fb\u8166\u4ee5\u8f03\u5c11\u7684\u958b\u92b7\u4f86\u7cfe\u6b63\u932f\u8aa4\uff0c\u56e0\u6b64\uff0c\u5118\u7ba1\u91cf\u5b50\u904b\u7b97\u672c\u8eab\u5bb9\u6613\u51fa\u932f\uff0c\u4f46\u4ecd\u80fd\u4fc3\u9032\u5bb9\u932f\u80fd\u529b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u78bc\u8207\u5176\u4ed6\u91cf\u5b50\u7ea0\u932f\u78bc\u76f8\u6bd4\u5982\u4f55\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7de8\u78bc\u4f7f\u7528\u4fdd\u5229\u7b97\u5b50\u4f86\u63cf\u8ff0\u548c\u7cfe\u6b63\u91cf\u5b50\u932f\u8aa4\uff0c\u76f8\u8f03\u65bc\u50b3\u7d71\u65b9\u6cd5\u63d0\u9ad8\u4e86\u6548\u7387\u3002\u9019\u4f7f\u5f97 Bacon-Shor \u78bc\u5728\u4fee\u6b63\u91cf\u5b50\u7cfb\u7d71\u5167\u7684\u932f\u8aa4\u6642\uff0c\u6bd4 Shor \u78bc\u548c\u8868\u9762\u78bc\u7b49\u5176\u4ed6\u78bc\u66f4\u70ba\u5be6\u7528\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u7de8\u78bc\u5728\u73fe\u5be6\u4e16\u754c\u7684\u91cf\u5b50\u904b\u7b97\u4e2d\u6709\u4ec0\u9ebc\u5be6\u969b\u610f\u7fa9\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7de8\u78bc\u7684\u5be6\u969b\u610f\u7fa9\u975e\u5e38\u5ee3\u6cdb\uff0c\u56e0\u70ba\u5b83\u53ef\u4ee5\u5728\u91cf\u5b50\u904b\u7b97\u4e2d\u5be6\u73fe\u5bb9\u932f\u548c\u7c21\u5316\u932f\u8aa4\u4fee\u6b63\u3002\u9019\u4e9b\u7279\u6027\u5927\u5927\u63d0\u9ad8\u4e86\u91cf\u5b50\u904b\u7b97\u5728\u73fe\u5be6\u4e16\u754c\u61c9\u7528\u4e2d\u7684\u5be6\u7528\u6027\u548c\u5b89\u5168\u6027\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u7de8\u78bc\u5982\u4f55\u6709\u52a9\u65bc\u52a0\u5f37\u8cc7\u8a0a\u5b89\u5168\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7a0b\u5f0f\u78bc\u7684\u512a\u52e2\u5728\u65bc <b>\u8cc7\u8a0a\u5b89\u5168<\/b> \u548c\u52a0\u5bc6\u6f14\u7b97\u6cd5\uff0c\u7279\u5225\u662f\u91dd\u5c0d <b>\u8cc7\u6599\u50b3\u8f38<\/b>.\u5b83\u6709\u52a9\u65bc <b>\u6297\u91cf\u5b50\u52a0\u5bc6<\/b>\u78ba\u4fdd\u8cc7\u6599\u53d7\u5230\u4fdd\u8b77\uff0c\u514d\u53d7\u91cf\u5b50\u904b\u7b97\u80fd\u529b\u6240\u5e36\u4f86\u7684\u6f5b\u5728\u5a01\u8105\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>\u96a8\u8457 Bacon-Shor \u7de8\u78bc\u7b49\u6280\u8853\u7684\u9032\u6b65\uff0c\u91cf\u5b50\u932f\u8aa4\u6821\u6b63\u7684\u672a\u4f86\u5c07\u6703\u5982\u4f55\uff1f<\/h3>\n<div>\n<div>\n<p>\u7684 <b>\u91cf\u5b50\u7cfe\u932f\u7684\u672a\u4f86<\/b>\u96a8\u8457 Bacon-Shor \u7de8\u78bc\u7b49\u6280\u8853\u7684\u9032\u6b65\uff0c\u5c07\u7e7c\u7e8c\u8207\u6642\u4ff1\u9032\u3002 <b>\u63a8\u9032\u91cf\u5b50\u786c\u9ad4<\/b>.\u8de8\u5b78\u79d1\u5408\u4f5c\u5c07\u5728\u958b\u767c\u65b0\u7684\u932f\u8aa4\u4fee\u6b63\u7b56\u7565\u548c\u6280\u8853\u65b9\u9762\u767c\u63ee\u91cd\u8981\u4f5c\u7528\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>\u5f9e\u7406\u8ad6\u5230\u5be6\u8e10\u7684\u904e\u6e21\u5c07\u5982\u4f55\u5f71\u97ff Bacon-Shor \u898f\u7bc4\u7684\u767c\u5c55\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7a0b\u5f0f\u78bc\u5f9e\u7406\u8ad6\u5230\u5be6\u8e10\u7684\u904e\u6e21\uff0c\u5c07\u53d6\u6c7a\u65bc\u5e73\u8861\u5275\u65b0\u7814\u7a76\u8207\u5efa\u69cb\u9ad8\u6548\u4e14\u6297\u932f\u7684\u91cf\u5b50\u904b\u7b97\u67b6\u69cb\u7684\u5be6\u969b\u9700\u6c42\u7684\u80fd\u529b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div>\n<h3>Bacon-Shor \u5bc6\u78bc\u5728\u91cf\u5b50\u8a08\u7b97\u9818\u57df\u91cb\u653e\u4e86\u4ec0\u9ebc\u6f5b\u529b\uff1f<\/h3>\n<div>\n<div>\n<p>Bacon-Shor \u7a0b\u5f0f\u78bc\u80fd\u5920\u767c\u6398\u91cf\u5b50\u904b\u7b97\u7684\u5de8\u5927\u6f5b\u529b\uff0c\u4fc3\u9032\u7cfb\u7d71\u7684\u64f4\u5145\uff0c\u4e26\u5c07\u91cf\u5b50\u72c0\u614b\u4fdd\u7559\u66f4\u4e45\u3002 <b>\u8907\u96dc\u8a08\u7b97<\/b>\uff0c\u8b93\u6211\u5011\u66f4\u63a5\u8fd1\u9054\u5230\u8a08\u7b97\u6548\u7387\u7684\u91cf\u5b50\u901f\u5ea6\u6975\u9650\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/section>","protected":false},"excerpt":{"rendered":"<p>\u5728\u6211\u5011\u958b\u555f\u91cf\u5b50\u6642\u4ee3\u7684\u904e\u7a0b\u4e2d\uff0c\u6709\u4e00\u9805\u91cd\u8981\u7684\u767c\u5c55\u4e0d\u5bb9\u5ffd\u8996\uff0c\u90a3\u5c31\u662f Bacon-Shor \u7de8\u78bc\u3002\u5b83\u662f\u91cf\u5b50\u904b\u7b97\u4e2d\u53ef\u9760\u8cc7\u6599\u8655\u7406\u7684\u95dc\u9375\u3002<a href=\"https:\/\/quantumaieu.com\/zh\/%e7%9e%ad%e8%a7%a3%e9%87%8f%e5%ad%90%e9%81%8b%e7%ae%97%e4%b8%ad%e7%9a%84%e5%9f%b9%e6%a0%b9%e7%b7%a8%e7%a2%bc\/\">\u7e7c\u7e8c\u95b1\u8b80 <span class=\"sr-only\">&#8220;Understanding the Bacon\u2013Shor Code in Quantum Computing&#8221;<\/span><\/a><\/p>","protected":false},"author":1,"featured_media":505506,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-505504","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"acf":[],"_links":{"self":[{"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/posts\/505504","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/comments?post=505504"}],"version-history":[{"count":0,"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/posts\/505504\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/media\/505506"}],"wp:attachment":[{"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/media?parent=505504"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/categories?post=505504"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumaieu.com\/zh\/wp-json\/wp\/v2\/tags?post=505504"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}