{"id":6063,"date":"2025-07-10T17:07:18","date_gmt":"2025-07-10T09:07:18","guid":{"rendered":"https:\/\/nullthought.net\/?p=6063"},"modified":"2025-07-10T17:07:19","modified_gmt":"2025-07-10T09:07:19","slug":"%e5%bc%ba%e5%85%b3%e8%81%94%e5%88%86%e5%ad%90%e7%9a%84%e9%87%8f%e5%ad%90%e6%a8%a1%e6%8b%9f%e5%bf%ab%e9%80%9f%e5%88%9d%e6%80%81%e5%88%b6%e5%a4%87%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=6063","title":{"rendered":"\u5f3a\u5173\u8054\u5206\u5b50\u7684\u91cf\u5b50\u6a21\u62df\u5feb\u901f\u521d\u6001\u5236\u5907\u65b9\u6cd5"},"content":{"rendered":"\n<p>\u5bf9\u57fa\u6001\u80fd\u91cf\u4f30\u8ba1\u7684\u91cf\u5b50\u7b97\u6cd5\u7814\u7a76\u901a\u5e38\u5047\u8bbe\u521d\u59cb\u6001\u4e0e\u771f\u5b9e\u57fa\u6001\u5b8c\u5168\u91cd\u5408\uff1b\u7136\u800c\u5728\u5b9e\u9645\u4e2d\uff0c\u521d\u59cb\u6001\u4e0e\u771f\u5b9e\u57fa\u6001\u4e4b\u95f4\u5f80\u5f80\u5b58\u5728\u4e0d\u5b8c\u7f8e\u7684\u91cd\u53e0\u3002\u8bba\u6587<strong><a href=\"https:\/\/journals.aps.org\/prxquantum\/abstract\/10.1103\/PRXQuantum.6.020327\" target=\"_blank\" rel=\"noreferrer noopener\">Rapid Initial-State Preparation for the Quantum Simulation of Strongly Correlated Molecules<\/a><\/strong>\u4ece\u4e24\u4e2a\u65b9\u9762\u5e94\u5bf9\u8fd9\u4e00\u95ee\u9898\uff1a\u4e00\u662f\u66f4\u5feb\u901f\u5730\u5236\u5907\u77e9\u9635\u79ef\u6001\uff08MPS\uff09\u8fd1\u4f3c\u6001\uff0c\u4e8c\u662f\u901a\u8fc7\u66f4\u9ad8\u6548\u7684\u201c\u8fc7\u6ee4\u201d\u6280\u672f\u4ece\u5df2\u5236\u5907\u7684\u72b6\u6001\u4e2d\u63d0\u53d6\u57fa\u6001\u80fd\u91cf\u3002\u8be5\u8bba\u6587\u7684\u7814\u7a76\u4e3a\u5728\u590d\u6742\u5316\u5b66\u7cfb\u7edf\u4e2d\u5236\u5907\u9ad8\u91cd\u53e0\u5ea6\u521d\u6001\u63d0\u4f9b\u4e86\u5207\u5b9e\u53ef\u884c\u7684\u8def\u5f84\u793a\u4f8b\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u4f5c\u8005\u4e3aDominic W. Berry , Yu Tong , Tanuj Khattar , Alec White , Tae In Kim , Guang Hao Low , Sergio Boixo , Zhiyan Ding , Lin Lin , Seunghoon Lee , Garnet Kin-Lic Chan, Ryan Babbush \u548c Nicholas C. Rubin\uff0c\u6765\u81eaMacquarie University, CalTech, Duke University, Google Quantum AI, Quantum Simulation Technologies Inc.,  Seoul National University, UC Berkeley\u3002<\/p>\n\n\n\n<p>\u4e00\u3001\u7814\u7a76\u80cc\u666f\u4e0e\u95ee\u9898\u52a8\u673a<\/p>\n\n\n\n<p>\u5728\u91cf\u5b50\u8ba1\u7b97\u4e2d\uff0c\u901a\u8fc7\u91cf\u5b50\u76f8\u4f4d\u4f30\u8ba1\uff08Quantum Phase Estimation, QPE\uff09\u6c42\u89e3\u5316\u5b66\u548c\u6750\u6599\u7cfb\u7edf\u7684\u57fa\u6001\u80fd\u91cf\u662f\u4e00\u9879\u5173\u952e\u4efb\u52a1\u3002\u4f20\u7edf\u5206\u6790\u5e38\u5047\u8bbe\u521d\u59cb\u6001\u5df2\u5b8c\u7f8e\u4e3a\u57fa\u6001\uff0c\u8fd9\u5927\u5927\u7b80\u5316\u4e86\u5206\u6790\u3002\u4f46\u5728\u73b0\u5b9e\u4e2d\uff0c\u5b9e\u9645\u5236\u5907\u51fa\u7684\u521d\u59cb\u91cf\u5b50\u6001\u901a\u5e38\u53ea\u80fd\u4e0e\u57fa\u6001\u6709\u6709\u9650\u91cd\u53e0\uff0c\u800c\u8fd9\u79cd\u4e0d\u5b8c\u7f8e\u7684\u521d\u59cb\u6001\u5c06\u76f4\u63a5\u5f71\u54cdQPE\u7684\u6210\u529f\u6982\u7387\u548c\u6700\u7ec8\u7684\u80fd\u91cf\u4f30\u8ba1\u7cbe\u5ea6\u3002\u56e0\u6b64\uff0c\u4e3a\u5b9e\u9645\u7cfb\u7edf\u5f00\u53d1\u4e00\u79cd\u9ad8\u6548\u4e14\u5177\u6709\u826f\u597d\u91cd\u53e0\u5ea6\u7684\u521d\u6001\u5236\u5907\u65b9\u6848\u663e\u5f97\u5c24\u4e3a\u91cd\u8981\u3002<\/p>\n\n\n\n<p>\u6b64\u5916\uff0c\u5373\u4fbf\u521d\u6001\u6709\u4e00\u5b9a\u91cd\u53e0\u5ea6\uff0c\u5982\u4f55\u8fdb\u4e00\u6b65\u201c\u8fc7\u6ee4\u201d\u8be5\u72b6\u6001\u4ee5\u51c6\u786e\u63d0\u53d6\u57fa\u6001\u4fe1\u606f\u4e5f\u662f\u6311\u6218\u4e4b\u4e00\u3002\u672c\u8bba\u6587\u4ece\u4e24\u65b9\u9762\u5165\u624b\u89e3\u51b3\u6b64\u95ee\u9898\uff1a\u4e00\u662f\u8bbe\u8ba1\u66f4\u9ad8\u6548\u7684\u77e9\u9635\u79ef\u6001\uff08Matrix Product State, MPS\uff09\u5236\u5907\u65b9\u6848\uff1b\u4e8c\u662f\u63d0\u51fa\u66f4\u4f18\u5316\u7684\u201c\u8fc7\u6ee4\u201d\u7b56\u7565\u7528\u4e8e\u63d0\u53d6\u57fa\u6001\u80fd\u91cf\u3002<\/p>\n\n\n\n<p>\u4e8c\u3001\u4e3b\u8981\u8d21\u732e\u4e0e\u65b9\u6cd5\u6982\u8ff0<\/p>\n\n\n\n<p>\u672c\u8bba\u6587\u7684\u8d21\u732e\u4e3b\u8981\u4f53\u73b0\u5728\u4e24\u4e2a\u65b9\u9762\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u66f4\u9ad8\u6548\u7684MPS\u5236\u5907\u65b9\u6cd5\uff1a\u501f\u52a9\u6539\u8fdb\u7684\u5355\u5143\u7b97\u5b50\u5408\u6210\u7b56\u7565\uff0c\u663e\u8457\u964d\u4f4e\u4e86Toffoli\u95e8\u590d\u6742\u5ea6\uff08\u975eClifford\u95e8\uff0c\u662f\u8bc4\u4f30\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u8d44\u6e90\u7684\u5173\u952e\u6307\u6807\uff09\uff0c\u5728\u5408\u6210MPS\u65f6Toffoli\u95e8\u6570\u91cf\u6bd4\u4ee5\u5f80\u65b9\u6cd5\u51cf\u5c11\u7ea67\u500d\u3002<\/li>\n\n\n\n<li>\u4e24\u79cd\u8fc7\u6ee4\u7b56\u7565\u7528\u4e8e\u63d0\u5347\u57fa\u6001\u63d0\u53d6\u6548\u679c\uff1a\n<ul class=\"wp-block-list\">\n<li>\u57fa\u4e8e\u91c7\u6837\u7684\u65b9\u6cd5\uff1a\u901a\u8fc7QPE\u591a\u6b21\u91c7\u6837\uff0c\u53d6\u6700\u5c0f\u503c\u4f5c\u4e3a\u57fa\u6001\u80fd\u91cf\u4f30\u8ba1\u3002<\/li>\n\n\n\n<li>\u57fa\u4e8e\u4e8c\u5206\u641c\u7d22\u4e0e\u632f\u5e45\u4f30\u8ba1\u7684\u65b9\u6cd5\uff1a\u5229\u7528\u91cf\u5b50\u632f\u5e45\u653e\u5927\u673a\u5236\uff0c\u5bf9\u672a\u77e5\u57fa\u6001\u80fd\u91cf\u533a\u95f4\u8fdb\u884c\u4e8c\u5206\u641c\u7d22\uff0c\u4ece\u800c\u6709\u6548\u89c4\u907f\u4f4e\u91cd\u53e0\u5bfc\u81f4\u7684\u4f4e\u91c7\u6837\u6982\u7387\u95ee\u9898\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u6b64\u5916\uff0c\u7814\u7a76\u56e2\u961f\u8fd8\u5c06\u65b9\u6cd5\u5e94\u7528\u4e8e\u542b\u94c1\u786b\u7c07\u7cfb\u7edf\uff08\u5982FeMo\u8f85\u57fa\uff09\u7684\u8d44\u6e90\u8bc4\u4f30\uff0c\u53d1\u73b0\u5373\u4f7f\u5728\u4e2d\u7b49\u7684MPS bond dimension\uff08\u59824000\uff09\u4e0b\uff0c\u521d\u6001\u4e0e\u771f\u5b9e\u57fa\u6001\u7684\u91cd\u53e0\u5ea6\u5e73\u65b9\u7ea6\u4e3a0.9\uff0c\u663e\u793a\u51fa\u8f83\u9ad8\u7684\u5b9e\u7528\u6f5c\u529b\u3002<\/p>\n\n\n\n<p>\u4e09\u3001MPS\u5236\u5907\u7b97\u6cd5\u7684\u6280\u672f\u521b\u65b0<\/p>\n\n\n\n<p>\u7814\u7a76\u5728MPS\u5236\u5907\u65b9\u9762\u7684\u5173\u952e\u6280\u672f\u521b\u65b0\u662f\u63d0\u51fa\u4e00\u79cd\u65b0\u7684\u5355\u5143\u7b97\u5b50\u5408\u6210\u65b9\u6cd5\uff0c\u57fa\u4e8e\u77e9\u9635\u5bf9\u89d2\u76f8\u4f4d\u53d8\u6362\uff08diagonal-phasing\uff09\u4e0eHadamard\u53d8\u6362\u4ea4\u66ff\u6267\u884c\uff0c\u5e76\u7ed3\u5408QROM\uff08Quantum Read-Only Memory\uff09\u8fdb\u884c\u53c2\u6570\u52a0\u8f7d\uff0c\u4ece\u800c\u6781\u5927\u964d\u4f4e\u4e86Toffoli\u95e8\u6570\u91cf\u3002\u5177\u4f53\u6280\u672f\u5305\u62ec\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5c06\u901a\u7528\u5e72\u6d89\u4eea\u5206\u89e3\u4e3a\u82e5\u5e72Givens\u65cb\u8f6c\u6784\u6210\u7684\u4e8c\u7ef4\u5757\u5bf9\u89d2\u77e9\u9635\u3002<\/li>\n\n\n\n<li>\u5229\u7528\u5149\u5b66\u7cfb\u7edf\u7684\u201c50:50\u5206\u675f\u5668+\u76f8\u4f4d\u201d\u7684\u7ec4\u5408\u601d\u60f3\u5c06\u8fd9\u4e9b\u5757\u7b80\u5316\u4e3a\u6807\u51c6\u7535\u8def\u7ed3\u6784\u3002<\/li>\n\n\n\n<li>\u91c7\u7528\u589e\u91cf\u5668\u4e0eQROM\u8f93\u51fa\u673a\u5236\u5b9e\u73b0\u9ad8\u6548\u63a7\u5236\u4e0e\u6570\u636e\u52a0\u8f7d\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u8be5\u7b97\u6cd5\u8fd8\u652f\u6301\u5bf9MPS\u5b50\u7a7a\u95f4\u7684\u90e8\u5206\u5217\u5408\u6210\uff08\u53ea\u5408\u6210\u9700\u8981\u7684\u5b50\u77e9\u9635\u5217\uff09\uff0c\u8fdb\u4e00\u6b65\u8282\u7701\u8ba1\u7b97\u8d44\u6e90\u3002<\/p>\n\n\n\n<p>\u56db\u3001\u76f8\u4f4d\u4f30\u8ba1\u4e2d\u7684\u7a97\u53e3\u51fd\u6570\u4e0e\u8bef\u5dee\u63a7\u5236<\/p>\n\n\n\n<p>\u4e3a\u4e86\u66f4\u9ad8\u6548\u5730\u4ece\u521d\u6001\u4e2d\u63d0\u53d6\u57fa\u6001\u80fd\u91cf\uff0c\u7814\u7a76\u4e2d\u5f15\u5165\u4e86\u7ecf\u5178\u4fe1\u53f7\u5904\u7406\u4e2d\u7684\u201c\u7a97\u53e3\u51fd\u6570\u201d\u7406\u8bba\u7528\u4e8eQPE\u7684\u76f8\u4f4d\u8bef\u5dee\u63a7\u5236\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4f20\u7edfQPE\u65b9\u6cd5\uff08\u5982\u5747\u5300\u5e45\u5ea6\u7684|+\u27e9\u6001\uff09\u5b58\u5728\u9ad8\u65b9\u5dee\u4e0e\u957f\u5c3e\u5206\u5e03\uff0c\u5bb9\u6613\u4ea7\u751f\u504f\u5dee\u3002<\/li>\n\n\n\n<li>\u672c\u6587\u91c7\u7528Kaiser\u7a97\u53e3\u548cSlepian\u7a97\u53e3\uff0c\u4e24\u8005\u80fd\u4ee5\u66f4\u5c0f\u7684\u5c3e\u6982\u7387\u6291\u5236\u5f02\u5e38\u4f4e\u4f30\u7684\u80fd\u91cf\u503c\uff0c\u63d0\u9ad8\u4f30\u8ba1\u7a33\u5b9a\u6027\u3002<\/li>\n\n\n\n<li>\u5bf9\u5e94\u7684\u8bef\u5dee\u9879\u88ab\u5206\u7c7b\u4e3a\uff1a\n<ul class=\"wp-block-list\">\n<li>\u7c7b\u578bI\u8bef\u5dee\uff1a\u4f30\u8ba1\u503c\u5c0f\u4e8e\u771f\u5b9e\u57fa\u6001\u80fd\u91cf\u7684\u6982\u7387\u3002<\/li>\n\n\n\n<li>\u7c7b\u578bII\u8bef\u5dee\uff1a\u4f30\u8ba1\u503c\u6765\u81ea\u6fc0\u53d1\u6001\u4f46\u672a\u80fd\u8bc6\u522b\uff0c\u4ece\u800c\u5bfc\u81f4\u9ad8\u4f30\u3002<br>\u901a\u8fc7\u7ec6\u81f4\u5206\u6790\u8fd9\u4e24\u7c7b\u8bef\u5dee\u7684\u6743\u8861\u5173\u7cfb\uff0c\u7814\u7a76\u53d1\u73b0Kaiser\u7a97\u53e3\u5728\u5b9e\u9645\u4e2d\u5e38\u4f18\u4e8eSlepian\u7a97\u53e3\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u4e94\u3001\u91c7\u6837\u6cd5\u4e0e\u4e8c\u5206\u641c\u7d22\u6cd5\u7684\u6bd4\u8f83<\/p>\n\n\n\n<p>\u7814\u7a76\u8be6\u7ec6\u6bd4\u8f83\u4e86\u76f4\u63a5\u91c7\u6837\u6cd5\u4e0e\u57fa\u4e8e\u632f\u5e45\u4f30\u8ba1\u7684\u4e8c\u5206\u641c\u7d22\u6cd5\u5728\u4e0d\u540c\u521d\u6001\u91cd\u53e0\u5ea6p\u4e0b\u7684\u8d44\u6e90\u6d88\u8017\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5bf9\u4e8e\u91cd\u53e0\u5ea6p \u2265 0.003\uff0c\u91c7\u6837\u6cd5\u8d44\u6e90\u66f4\u5c11\uff0c\u5e38\u89c4QPE\u591a\u6b21\u6d4b\u91cf\u5373\u53ef\u6ee1\u8db3\u76ee\u6807\u7f6e\u4fe1\u533a\u95f4\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6781\u5c0f\u7684\u91cd\u53e0\u5ea6p &lt; 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