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\u8fd9\u4e2a\u91cd\u65b0\u4ea7\u751f\u7684\u84dd\u8272\u5149\u5b50\u5982\u679c\u88ab\u63a2\u6d4b\u5668\u63a2\u6d4b\u5230\uff0c\u63a2\u6d4b\u5668\u5c31\u901a\u77e5\u8fdc\u5904 A \u9644\u8fd1\u7684\u5149\u5b66\u6805\u680f\u6253\u5f00\uff0cA \u5149\u5b50\u5c31\u53ef\u4ee5\u900f\u51fa\u53bb\u3002<\/span>\u7531\u4e8e A \u5904\u548c C \u5904\u662f\u4e00\u6837\u7684\u7ea2\u5149\uff0c\u4eff\u4f5b C \u7684\u5149\u5b50\u5728 A \u5904\u51fa\u73b0\u4e86\u3002<\/span>\u8fd9\u5c31\u662f\u91cf\u5b50\u8d85\u8ddd\u4f20\u8f93\u7684\u5b9e\u9a8c\uff0c\u867d\u7136 C \u5149\u5b50\u5728\u9ec4\u8272\u6676\u4f53\u4e2d\u6d88\u5931\u4e86\uff0c\u4f46\u662f\u4ece A \u90a3\u4e00\u5934\u53c8\u51fa\u73b0\u4e86\uff0c\u4eff\u4f5b\u5f62\u6210\u4e86 C->B->A \u8fd9\u6837\u56e0\u679c\u5012\u7f6e\u7684\u901a\u8def\u3002<\/span>\u4f46\u8fd9\u4e2a\u8fc7\u7a0b\u672c\u8eab\u6ca1\u6709\u8fdd\u53cd\u76f8\u5bf9\u8bba\uff0c\u4e5f\u6ca1\u6709\u771f\u6b63\u5b9e\u73b0\u65f6\u7a7a\u5012\u6d41\uff0c\u56e0\u4e3a\u5fc5\u987b\u8981 C \u90a3\u5934\u7684\u63a2\u6d4b\u5668\u63a5\u53d7\u5230\u4fe1\u53f7\u624d\u53ef\u4ee5\u901a\u77e5 A \u63a2\u6d4b\u5668\uff0cA \u5904\u5fc5\u987b\u6709\u4e2a\u5f88\u957f\u7684\u73af\u8def\uff0c\u7b49 C \u5904\u63a2\u6d4b\u5668\u7684\u4fe1\u53f7\u5230\u8fbe\u4e4b\u540e\u5b83\u518d\u5230\u8fbe\uff0c\u56e0\u6b64\u5e76\u6ca1\u6709\u8fdd\u53cd\u76f8\u5bf9\u8bba\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u4f46\u662f\u8fd9\u4e2a\u8fc7\u7a0b\u6548\u7387\u5f88\u4f4e\uff0c\u4e3a\u4e86\u8ba9 C \u80fd\u548c A \u7684\u72b6\u6001\u4e00\u81f4\uff0c\u5c06\u5b9e\u9a8c\u91cd\u590d 100 \u53ef\u80fd\u624d\u53ea\u6709\u4e00\u6b21\u6210\u529f\u3002<\/span>\u4e3a\u4e86\u63d0\u9ad8\u91cf\u5b50\u4f20\u8f93\u7684\u6210\u529f\u7387\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u91cf\u5b50\u7b97\u6cd5 Grover \u7b97\u6cd5\u5728\u832b\u832b\u591a\u7684\u91cf\u5b50\u6001\u4e2d\u5bfb\u627e\u60f3\u8981\u5f97\u5230\u7684\u91cf\u5b50\u6001\u3002<\/span>[4] \u5bf9\u4e8e\u4e00\u4e2a\u7ecf\u5178\u8ba1\u7b97\u673a\uff0c\u5bfb\u627e\u65e0\u7ed3\u6784\u7684\u6570\u636e\u4e2d\u7684\u67d0\u4e2a\u6bd4\u7279\u5b57\u7b26\u4e32\u7684\u957f\u5ea6 N \u590d\u6742\u5ea6\u662f O(N)\uff0c\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\u7684 Grover \u7b97\u6cd5\u53ef\u4ee5\u8fbe\u5230 O(N^1\/2)\u3002<\/span>\u7531\u4e8e\u91cf\u5b50\u641c\u7d22\u53ef\u4ee5\u5229\u7528\u91cf\u5b50\u6001\u76f8\u5e72\u53e0\u52a0\u7684\u7279\u70b9\uff0c\u641c\u7d22\u53ef\u4ee5\u5e76\u884c\u7684\u53d1\u751f\u5728\u5e73\u884c\u5b87\u5b99\u4e2d\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u4f8b\u5982\u4e00\u4e2a\u957f\u5ea6\u4e3a 4 \u7684\u6bd4\u7279\u5b57\u7b26\u4e32\uff0c\u4e00\u5171\u6709 16 \u79cd\u53ef\u80fd\u7684\u60c5\u51b5\uff0c\u6bcf\u79cd\u60c5\u51b5\u7684\u6982\u7387\u662f1\/16\u3002<\/span>\u5229\u7528 Grover \u662f\u4e2a\u8fed\u4ee3\u7b97\u6cd5\uff0c\u6bcf\u6b21\u8fed\u4ee3\u53ef\u4ee5\u589e\u5f3a\u76ee\u6807\u72b6\u6001\u7684\u6982\u7387\u3002<\/span>\u6bd4\u5982\u5bfb\u627e\u4e00\u4e2a\u5b57\u7b26\u4e32\u201c0110\u201d\uff0c \u4e5f\u5c31\u662f 6\uff0c\u5f00\u59cb\u662f\u5747\u5300\u6982\u7387 1\/16\uff0c\u7b2c\u4e00\u6b65\u7684\u65f6\u5019\u6982\u7387\u5c31\u5927\u5927\u589e\u5f3a\uff0c\u7b2c\u4e8c\u6b65\u5c31\u53ef\u4ee5\u5230 90% \u5de6\u53f3\u3002<\/span>\u7b2c\u4e09\u6b65\u7684\u65f6\u5019\u5c31\u5df2\u7ecf\u63a5\u8fd1 100%. \u6240\u4ee5\u4ece 16 \u4e2a\u72b6\u6001\u4e2d\u641c\u7d22\u4e00\u4e2a\u72b6\u6001\uff0cGrover \u7b97\u6cd5\u53ea\u9700\u8981 4 \u6b65\u5c31\u53ef\u4ee5\u8fbe\u5230\u5f88\u597d\u7684\u7ed3\u679c\u3002<\/span>\u63a2\u7a76\u66f4\u672c\u8d28\u7684\u539f\u56e0\uff0c\u91cf\u5b50\u7684\u6982\u7387\u90fd\u662f\u7528\u6982\u7387\u5e45\u6765\u53c2\u6570\u5316\uff0cp(x)= |\u03c8(x)|\u00b2 <\/span>\u8fd9<\/span>\u4e2a\u6ce2\u51fd\u6570\u4e0d\u5fc5\u662f\u4e2a\u6b63\u6570\uff0c\u800c\u662f\u53ef\u80fd\u662f\u4e00\u4e2a\u590d\u6570\u3002<\/span>\uff08\u8fd9\u91cc\u6211\u4eec\u5c06\u6ce2\u51fd\u6570\u7684 Householder reflection <\/span>\u5f62\u8c61\u7684\u7c7b\u6bd4\u4e8e\u6ce2\u51fd\u6570\u5bf9\u6c34\u5e73\u9762\u7684\u7ffb\u8f6c\uff0c\u5f62\u8c61\u7684\u89e3\u91ca\u4e86 Grover \u7b97\u6cd5\uff0c\u4e0d\u518d\u8d58\u8ff0\uff09<\/span><\/p>\n


<\/p>\n

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<\/p>\n

\n
\n
<\/p>\n

\u91cf\u5b50\u7ea0\u7f20\u4e0e\u9ed1\u6d1e
<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

\n

\u79d1\u5b66\u5bb6\u4eec\u53ef\u4ee5\u901a\u8fc7\u91cf\u5b50\u8ba1\u7b97\u673a\u5b9e\u73b0\u4e0a\u9762\u7684\u91cf\u5b50\u67e5\u8be2\u548c\u91cf\u5b50\u6269\u6563\uff08diffusion\uff09\uff0c\u8fd9\u4e2a\u7b97\u6cd5\u5728\u4e24\u4e2a\u5b9e\u9a8c\u4e2d [5;6] \u90fd\u88ab\u9a8c\u8bc1\u4e86\u53ef\u884c\u6027\u3002<\/span>2019 \u5e74 1 \u6708 Google \u53d1\u5e03\u7684\u91cf\u5b50\u8ba1\u7b97\u673a\u5df2\u7ecf\u53ef\u4ee5\u5b9e\u73b0 53 \u6bd4\u7279\u7684\u91cf\u5b50\u8ba1\u7b97\u673a\uff0c\u8fd9\u4e2a\u610f\u5473\u7740\u4ec0\u4e48\u5462\uff1f<\/span>\u4ee5 Grover \u7b97\u6cd5\u641c\u7d2253\u4e2a\u6bd4\u7279\u7684\u6001\u7a7a\u95f4\u7684\u641c\u7d22\u4e3a\u4f8b\uff0c\u5b83\u53ef\u4ee5\u5728 2^53 \u4e2a\uff08\u5927\u7ea6\u4e00\u4ebf\u4ebf\uff09\u72b6\u6001\u7684\u7a7a\u95f4\u8fdb\u884c\u641c\u7d22\uff0c\u4f1a\u6709\u5c06\u8fd1\u4e00\u4ebf\u500d\u7684\u52a0\u901f\u3002<\/span>\u4f46\u662f\u6211\u4eec\u4e5f\u8981\u6ce8\u610f\uff0c\u8fd9\u5728\u8fd9\u4e2a\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\uff0cGoogle \u6ca1\u6709\u5b9e\u73b0 Grover \u7b97\u6cd5\uff0c\u800c\u662f\u53bb\u505a\u4e86 Quantum Sampling \u8fd9\u6837\u6bd4\u8f83\u521d\u6b65\u7684\u5b9e\u9a8c\u3002<\/span>\u76ee\u524d\u8fd9\u53f0\u673a\u5668\u662f\u5426\u80fd\u5728\u5bb9\u9519\u7387\u7ea6\u675f\u4e0b\u5b9e\u73b0\u8fd9\u4e9b\u5b9e\u9645\u7684\u7b97\u6cd5\u8fd8\u9700\u8981\u8fdb\u4e00\u6b65\u7814\u7a76\u3002<\/span><\/p>\n<\/section>\n


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Google \u53d1\u5e03\u5b9e\u73b0 53 \u6bd4\u7279\u7684\u91cf\u5b50\u8ba1\u7b97\u673a<\/span><\/p>\n

https:\/\/www.nature.com\/articles\/d41586-019-03213-z<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n

<\/section>\n
\u56fe5\uff1a2019\u5e74\u56db\u6708\uff0c\u62cd\u4e0b\u4e86\u9ed1\u6d1e\u7684\u7b2c\u4e00\u5f20\u7167\u7247<\/span><\/strong><\/span><\/section>\n


<\/p>\n

<\/p>\n

Grover \u7b97\u6cd5\u53ef\u4ee5\u901a\u8fc7\u641c\u7d22\u5e2e\u52a9\u63d0\u9ad8\u91cf\u5b50\u8d85\u8ddd\u4f20\u8f93\u7684\u6548\u7387\uff0c\u4e3a\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\uff0c\u6211\u4eec\u8fd8\u9700\u8981\u4e00\u4e2a\u91cf\u5b50\u54c8\u5e0c\u3002<\/span>\u6240\u8c13\u54c8\u5e0c\uff0c\u5728 Python \u7a0b\u5e8f\u4e2d\uff0c\u6211\u4eec\u5199\u4ee3\u7801\u7528\u5230 Dict \u7684\u65f6\u5019\uff0c\u7528\u5230\u7684\u5c31\u662f\u54c8\u5e0c\u8868\u3002<\/span>\u54c8\u5e0c\u7b97\u6cd5\u5c06\u4e00\u4e2a\u7269\u4f53\u53d8\u6210\u5bf9\u5e94\u7684\u54c8\u5e0c\u503c\u8f93\u51fa\uff0c\u5b83\u8868\u5f81\u4e86\u4e00\u4e2a\u5bf9\u8c61\u3002<\/span>\u81ea\u7136\u754c\u4e2d\uff0c\u91cf\u5b50\u54c8\u5e0c\u53ef\u4ee5\u901a\u8fc7\u9ed1\u6d1e\u6765\u5b9e\u73b0\u3002<\/span>2019 \u5e74\u65b0\u89c6\u91ce\u53f7\u5929\u6587\u671b\u8fdc\u955c\u5229\u7528\u6574\u4e2a\u5730\u7403\u7684\u76f4\u5f84\u4f5c\u4e3a\u671b\u8fdc\u955c\u7684\u5927\u5c0f\uff0c\u62cd\u4e0b\u4e86\u9ed1\u6d1e\u7684\u7b2c\u4e00\u5f20\u7167\u7247\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u9ed1\u6d1e\u53ef\u4ee5\u7528\u6765\u4f5c\u4e3a\u54c8\u5e0c\u5b58\u50a8 [7]\u3002<\/span>\u5047\u8bbe\u4f60\u628a\u4e00\u4e2a\u7ea2\u8272\u65e5\u8bb0\u672c\u4e22\u5230\u9ed1\u6d1e\u4e2d\uff0c\u671f\u5f85\u5b83\u6c38\u8fdc\u6d88\u5931\u5728\u5b87\u5b99\u4e2d\uff0c\u4e0d\u88ab\u4eba\u53d1\u73b0\u3002<\/span>\u800c\u4e14\u6309\u7167\u901a\u5e38\u7684\u7406\u89e3\uff0c\u4e22\u8fdb\u9ed1\u6d1e\u7684\u7269\u4f53\u662f\u51fa\u4e0d\u6765\u7684\uff0c\u6240\u4ee5\u65e5\u8bb0\u81ea\u7136\u4e5f\u4e0d\u4f1a\u51fa\u6765\u3002<\/span>\u9ed1\u6d1e\u867d\u7136\u4e0d\u4f1a\u628a\u65e5\u8bb0\u672c\u5410\u51fa\u6765\uff0c\u4f46\u662f\u4f1a\u6709\u970d\u91d1\u8f90\u5c04\uff0c\u970d\u91d1\u8f90\u5c04\u51fa\u6765\u7684\u4fe1\u606f\u662f\u65e5\u8bb0\u7684\u4e00\u79cd\u54c8\u5e0c\u7f16\u7801\u3002<\/span>\u6bd4\u5982\u539f\u5148\u7ea2\u8272\u65e5\u8bb0\u672c\u4e66\u5199\u7684\u662f\u201c\u96c6\u667a\u65b0\u5e74\u5feb\u4e50\u201d\uff0c\u8f90\u5c04\u51fa\u6765\u7684\u53ef\u80fd\u53ea\u662f\u4e00\u5806\u4e71\u7801\uff0c\u90a3\u4e48\u5176\u5b9e\u8fd8\u662f\u6ca1\u6709\u529e\u6cd5\u89e3\u8bfb\u65e5\u8bb0\u7684\u4fe1\u606f\u3002<\/span><\/p>\n

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\u96c6\u667a\u4e00\u76f4\u4ee5\u6765\u4ee5\u7814\u7a76\u590d\u6742\u7cfb\u7edf\u4e3a\u4e3b\uff0c\u5176\u5b9e\u91cf\u5b50\u6548\u5e94\u548c\u590d\u6742\u7cfb\u7edf\u79d1\u5b66\u4e92\u76f8\u90fd\u6709\u5f71\u54cd\u3002<\/span>\u4e00\u65b9\u9762\uff0c\u590d\u6742\u7cfb\u7edf\u548c\u4eba\u5de5\u667a\u80fd\u53ef\u4ee5\u5bf9\u4eba\u4eec\u7406\u89e3\u91cf\u5b50\u73b0\u8c61\uff0c\u8bbe\u8ba1\u91cf\u5b50\u8ba1\u7b97\u673a\u53ef\u4ee5\u63d0\u4f9b\u5e2e\u52a9\u3002<\/span>[9;8] \u53e6\u4e00\u4e2a\u65b9\u9762\u91cf\u5b50\u8ba1\u7b97\u53ef\u4ee5\u7528\u6765\u505a\u66f4\u9ad8\u6548\u7684\u4eba\u5de5\u667a\u80fd\u3002<\/span>[10] \u7136\u800c\uff0c\u6211\u4eec\u6700\u5173\u5fc3\u7684\u662f\u91cf\u5b50\u548c\u667a\u80fd\u7684\u5173\u7cfb\uff0c\u6bd4\u5982\uff0c\u5728\u91cf\u5b50\u6d4b\u91cf\u4e2d\uff0c\u91cf\u5b50\u6001\u7684\u584c\u7f29\u548c\u667a\u80fd\u4e4b\u95f4\u6709\u4f55\u5173\u7cfb\u3002<\/span>\u89e3\u91ca\u8fd9\u4e2a\u95ee\u9898\u8981\u6c42\u6211\u4eec\u628a\u91cf\u5b50\u7684\u6210\u5206\u548c\u667a\u80fd\u7684\u6210\u5206\u7ed3\u5408\uff0c\u53bb\u8003\u5bdf\u8fd9\u4e24\u4e2a\u7cfb\u7edf\u7ed3\u5408\u8d77\u6765\u7684\u7cfb\u7edf\u7684\u7269\u7406\u5b66\u89c4\u5f8b\u3002<\/span><\/p>\n<\/section>\n


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[1]. Young, Thomas. “II. The Bakerian Lecture. On the mechanism of the eye.” Philosophical Transactions of the Royal Society of London 91 (1801): 23-88.<\/span><\/p>\n

[2]. Donati, O., G. P. Missiroli, and G. Pozzi. “An experiment on electron interference.” American Journal of Physics 41.5 (1973): 639-644.<\/span><\/p>\n

[3]. Kim, Yoon-Ho, et al. “Delayed \u201cchoice\u201d quantum eraser.” Physical Review Letters 84.1 (2000): 1.<\/span><\/p>\n

[4]. Grover, Lov K. “A fast quantum mechanical algorithm for database search.” Proceedings of the twenty-eighth annual ACM symposium on Theory of computing. 1996.<\/span><\/p>\n

[5]. Sun, Yuan, et al. “Experimental implementation of Grover’s search algorithm with neutral atom qubits.” APS Division of Atomic, Molecular and Optical Physics Meeting Abstracts. 2016.<\/span><\/p>\n

[6]. Figgatt, Caroline, et al. “Complete 3-qubit grover search on a programmable quantum computer.” Nature communications 8.1 (2017): 1-9.<\/span><\/p>\n

[7]. Yoshida, Beni, and Alexei Kitaev. “Efficient decoding for the Hayden-Preskill protocol.” arXiv preprint arXiv:1710.03363 (2017).<\/span><\/p>\n

[8]. Hu, Hong-Ye, et al. “Machine Learning Holographic Mapping by Neural Network Renormalization Group.” arXiv preprint arXiv:1903.00804 (2019).<\/span><\/p>\n

[9]. You, Yi-Zhuang, Zhao Yang, and Xiao-Liang Qi. “Machine learning spatial geometry from entanglement features.” Physical Review B 97.4 (2018): 045153.<\/span><\/p>\n

[10]. Wang, Ce, Hui Zhai, and Yi-Zhuang You. “Emergent Schr\u00f6dinger equation in an introspective machine learning architecture.” Science Bulletin 64.17 (2019): 1228-1233.<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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Nature Physics \u524d\u6cbf\uff1a<\/span><\/strong>\u5f15\u529b\u6765\u81ea\u91cf\u5b50\u4fe1\u606f\u5417\uff1f<\/span><\/strong><\/a>
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\u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org
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\u25c6 <\/span>\u25c6 <\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n

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