{"id":56797,"date":"2025-02-13T11:59:21","date_gmt":"2025-02-13T03:59:21","guid":{"rendered":"https:\/\/swarma.org\/?p=56797"},"modified":"2025-02-13T11:59:21","modified_gmt":"2025-02-13T03:59:21","slug":"%e9%a6%96%e4%b8%aa%e4%b8%93%e4%b8%baai%e4%bb%8e%e4%b8%9a%e8%80%85%e6%89%93%e9%80%a0%e7%9a%84%e9%87%8f%e5%ad%90%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0quantum-machine-learning%e6%95%99%e7%a8%8b%e5%8f%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=56797","title":{"rendered":"\u9996\u4e2a\u4e13\u4e3aAI\u4ece\u4e1a\u8005\u6253\u9020\u7684\u91cf\u5b50\u673a\u5668\u5b66\u4e60(Quantum Machine Learning)\u6559\u7a0b\u53d1\u5e03"},"content":{"rendered":"
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\u8fd1\u5e74\u6765\uff0c\u4eba\u5de5\u667a\u80fd\uff08AI\uff09\u548c\u91cf\u5b50\u8ba1\u7b97\uff08Quantum Computing, QC\uff09\u4e24\u5927\u524d\u6cbf\u6280\u672f\u6b63\u9010\u6b65\u4ea4\u6c47\uff0c\u50ac\u751f\u4e86\u4e00\u7cfb\u5217\u91cf\u5b50\u673a\u5668\u5b66\u4e60\uff08Quantum Machine Learning, QML\uff09\u65b0\u7b97\u6cd5\u3002\u7136\u800c\uff0c\u53d7\u9650\u4e8e\u91cf\u5b50\u8ba1\u7b97\u7684\u72ec\u7279\u6982\u5ff5\u548c\u4e0d\u540c\u4e8e\u7ecf\u5178\u673a\u5668\u5b66\u4e60\u7684\u6570\u5b66\u6846\u67b6\uff0cAI \u7814\u7a76\u8005\u5f80\u5f80\u96be\u4ee5\u5feb\u901f\u5165\u95e8\u3002<\/span><\/strong><\/p>\n


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Yuxuan Du<\/span> <\/span>| \u4f5c\u8005<\/span><\/p>\n

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Quantum Machine Learning: A Hands-on Tutorial for Machine Learning Practitioners and Researchers<\/span><\/p>\n

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https:\/\/arxiv.org\/pdf\/2502.01146<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n

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1. \u8ba1\u7b97\u8303\u5f0f\u7684\u8f6c\u53d8\uff1a\u4ece\u7ecf\u5178\u5230\u91cf\u5b50 AI<\/strong><\/span><\/h3>\n


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\u4eba\u5de5\u667a\u80fd\u7684\u53d1\u5c55\u4f9d\u8d56\u4e8e\u8ba1\u7b97\u80fd\u529b\u7684\u63d0\u5347\uff0c\u7136\u800c\u968f\u7740\u795e\u7ecf\u7f51\u7edc\u89c4\u6a21\u7684\u4e0d\u65ad\u6269\u5c55\uff0c\u6469\u5c14\u5b9a\u5f8b\u9010\u6e10\u5931\u6548<\/strong>\uff0c\u4f20\u7edf\u8ba1\u7b97\u67b6\u6784\u96be\u4ee5\u652f\u6491\u66f4\u5927\u89c4\u6a21\u7684 AI \u6a21\u578b\u8bad\u7ec3\u3002QML \u901a\u8fc7 \u91cf\u5b50\u7ea0\u7f20\u4e0e\u53e0\u52a0\u534f\u540c\u4f5c\u7528<\/strong> \u63d0\u4f9b\u5168\u65b0\u7684\u8ba1\u7b97\u6a21\u5f0f\uff0c\u4f7f AI \u80fd\u591f\u5728\u9ad8\u7ef4\u7a7a\u95f4\u4e2d\u5b66\u4e60\u590d\u6742\u6570\u636e\u6a21\u5f0f\u3002<\/span><\/p>\n


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2. \u8ba1\u7b97\u4f18\u52bf<\/strong><\/span><\/h3>\n


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(1) \u8ba1\u7b97\u590d\u6742\u5ea6\u7684\u4f18\u5316<\/strong><\/span><\/h4>\n

\u91cf\u5b50\u5947\u5f02\u503c\u53d8\u6362<\/span>\uff08Quantum Singular Value Transformation, QSVT\uff09<\/span>\u4f5c\u4e3a\u91cf\u5b50\u8ba1\u7b97\u7684\u6838\u5fc3\u5de5\u5177\uff0c\u4e3a\u4f18\u5316\u95ee\u9898\u3001\u77e9\u9635\u8ba1\u7b97\u548c\u673a\u5668\u5b66\u4e60\u4efb\u52a1\u63d0\u4f9b\u4e86\u7a81\u7834\u6027\u7684\u8ba1\u7b97\u6548\u7387\u63d0\u5347\u3002\u5b83\u80fd\u591f\u9ad8\u6548\u5730\u6267\u884c\u77e9\u9635\u51fd\u6570\u53d8\u6362\uff0c\u4f7f\u5f97\u67d0\u4e9b\u95ee\u9898\u7684\u8ba1\u7b97\u590d\u6742\u5ea6\u4ece\u7ecf\u5178\u7684\u6307\u6570\u7ea7\u7f29\u51cf\u5230\u591a\u9879\u5f0f\u7ea7\u522b\uff0c\u4e3a\u9ad8\u7ef4\u6570\u636e\u5904\u7406\u5e26\u6765\u524d\u6240\u672a\u6709\u7684\u53ef\u80fd\u6027\u3002<\/span><\/p>\n


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(2) \u6837\u672c\u590d\u6742\u5ea6\u4e0e\u6cdb\u5316\u80fd\u529b<\/strong><\/span><\/h4>\n

QML \u7684\u53e6\u4e00\u4e2a\u5173\u952e\u4f18\u52bf\u5728\u4e8e \u91cf\u5b50\u7279\u5f81\u6620\u5c04<\/span>\uff08Quantum Feature Mapping\uff09<\/span>\uff0c\u5b83\u80fd\u591f\u5c06\u6570\u636e\u5d4c\u5165\u5230\u9ad8\u7ef4\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\uff0c\u4f7f\u5f97\u590d\u6742\u6a21\u5f0f\u66f4\u52a0\u5bb9\u6613\u88ab\u5b66\u4e60\u3002\u8fd9\u79cd\u65b9\u6cd5\u51cf\u5c11\u4e86\u8bad\u7ec3\u6240\u9700\u7684\u6570\u636e\u91cf\uff0c\u63d0\u9ad8\u4e86\u6a21\u578b\u7684\u6cdb\u5316\u80fd\u529b\uff0c\u5c24\u5176\u9002\u7528\u4e8e\u5c0f\u6837\u672c\u5b66\u4e60\u4efb\u52a1\u3002<\/span><\/p>\n


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(3) \u67e5\u8be2\u590d\u6742\u5ea6\u7684\u964d\u4f4e<\/strong><\/span><\/h4>\n

\u91cf\u5b50\u8ba1\u7b97\u53ef\u4ee5\u51cf\u5c11\u67d0\u4e9b\u4efb\u52a1\u7684\u67e5\u8be2\u6b21\u6570\uff0c\u63d0\u9ad8\u6570\u636e\u68c0\u7d22\u548c\u4f18\u5316\u95ee\u9898\u7684\u6548\u7387\u3002\u4f8b\u5982\uff0cGrover \u641c\u7d22\u7b97\u6cd5\u5728\u65e0\u5e8f\u6570\u636e\u5e93\u4e2d\u7684\u67e5\u8be2\u590d\u6742\u5ea6\u964d\u4f4e\u5230\u7ecf\u5178\u65b9\u6cd5\u7684\u5e73\u65b9\u6839\u7ea7\u522b\uff0c\u5728\u641c\u7d22\u3001\u5f3a\u5316\u5b66\u4e60\u63a2\u7d22\u7b56\u7565\u4f18\u5316\u7b49\u4efb\u52a1\u4e2d\u5177\u6709\u663e\u8457\u4f18\u52bf\u3002<\/span><\/p>\n


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(4) \u5b9e\u9645\u53ef\u7528\u6027<\/strong><\/span><\/h4>\n

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3. \u91cf\u5b50\u8ba1\u7b97\u7684\u8fdb\u5c55<\/strong><\/span><\/h3>\n


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2024 \u5e74\uff0cGoogle Quantum AI \u56e2\u961f\u5c55\u793a\u4e86 105 \u91cf\u5b50\u6bd4\u7279\u7684 Willow \u8ba1\u7b97\u5e73\u53f0<\/strong>\uff0c\u8be5\u5e73\u53f0\u57fa\u4e8e\u8d85\u5bfc\u91cf\u5b50\u6bd4\u7279\u6280\u672f\uff0c\u6539\u8fdb\u4e86\u91cf\u5b50\u95e8\u4fdd\u771f\u5ea6\u5e76\u589e\u5f3a\u4e86\u7ea0\u9519\u80fd\u529b\u3002\u6b64\u5916\uff0cQuantinuum \u4e5f\u63a8\u51fa\u4e86 H-Series \u5904\u7406\u5668<\/strong>\uff0c\u57fa\u4e8e\u79bb\u5b50\u9631\u6280\u672f\uff0c\u5c55\u73b0\u4e86\u66f4\u957f\u7684\u76f8\u5e72\u65f6\u95f4\u548c\u66f4\u9ad8\u7684\u95e8\u4fdd\u771f\u5ea6\u3002\u76ee\u524d\u5176H2\u82af\u7247\u62e5\u6709\u5168\u94fe\u63a5\u768456\u91cf\u5b50\u6bd4\u7279. QuEra\u57fa\u4e8e\u4e2d\u6027\u539f\u5b50\u6280\u672f\u5236\u5907\u4e86156\u91cf\u5b50\u6bd4\u7279\u7684\u82af\u7247\u3002PsiQuantum \u5728\u5149\u5b50\u91cf\u5b50\u8ba1\u7b97\u65b9\u5411\u53d6\u5f97\u91cd\u8981\u7a81\u7834\uff0c\u63a8\u52a8\u5149\u5b50\u82af\u7247\u96c6\u6210\u5316\u8fdb\u5c55\uff0c\u4f7f\u5927\u89c4\u6a21\u5149\u91cf\u5b50\u8ba1\u7b97\u6210\u4e3a\u53ef\u80fd\u3002<\/span><\/p>\n


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NVIDIA \u8fdb\u4e00\u6b65\u52a0\u5f3a\u4e86 \u91cf\u5b50-\u7ecf\u5178\u6df7\u5408\u8ba1\u7b97\u6a21\u62df<\/strong>\uff0c\u63d0\u4f9b\u66f4\u9ad8\u6548\u7684\u6a21\u62df\u6846\u67b6\uff0c\u4f7f\u7814\u7a76\u4eba\u5458\u80fd\u591f\u5728\u7ecf\u5178\u786c\u4ef6\u4e0a\u66f4\u5feb\u5730\u4f18\u5316\u548c\u6d4b\u8bd5 QML \u7b97\u6cd5\u3002\u8fd9\u4e9b\u4e0d\u540c\u91cf\u5b50\u8ba1\u7b97\u4f53\u7cfb\u7684\u8fdb\u5c55\u8868\u660e\uff0c\u5c3d\u7ba1\u5404\u6280\u672f\u8def\u7ebf\u4ecd\u5728\u7ade\u4e89\uff0c\u4f46\u6574\u4f53\u91cf\u5b50\u8ba1\u7b97\u751f\u6001\u7cfb\u7edf\u6b63\u5728\u5feb\u901f\u6210\u719f\u3002\u672c\u6559\u7a0b\u6240\u6db5\u76d6\u7684 QML \u65b9\u6cd5\uff0c\u6b63\u662f\u57fa\u4e8e\u8fd9\u4e9b\u786c\u4ef6\u7684\u53d1\u5c55\u8fdb\u884c\u8bbe\u8ba1\uff0c\u5e76\u9488\u5bf9\u4e0d\u540c\u786c\u4ef6\u4f53\u7cfb\u63d0\u51fa\u76f8\u5e94\u7684 QML \u7814\u7a76\u601d\u8def\u3002<\/span><\/p>\n


<\/span><\/p>\n

4. \u4e3a\u4ec0\u4e48 QML \u9700\u8981 AI \u80cc\u666f\u7684\u7814\u7a76\u8005\uff1f<\/strong><\/span><\/h3>\n


<\/span><\/p>\n

\u968f\u7740\u91cf\u5b50\u8ba1\u7b97\u6280\u672f\u7684\u6210\u719f\uff0c\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u7684\u7814\u7a76\u65b9\u5411\u6b63\u5728\u4ece\u7406\u8bba\u63a2\u7d22\u5411\u5b9e\u9645\u5e94\u7528\u8f6c\u53d8\u3002QML \u9700\u8981 AI \u9886\u57df\u7684\u7814\u7a76\u8005\uff0c\u56e0\u4e3a\u4ed6\u4eec\u80fd\u591f\u63d0\u4f9b \u7cfb\u7edf\u5316\u3001\u5de5\u7a0b\u5316\u3001\u89c4\u6a21\u5316 \u7684\u65b9\u6cd5\u8bba\uff0c\u800c\u8fd9\u4e9b\u6b63\u662f\u5f53\u524d QML \u7814\u7a76\u6240\u7f3a\u4e4f\u7684\u3002<\/span><\/p>\n


<\/span><\/p>\n

<\/p>\n

\u56fe\u6ce8\uff1a<\/span>QML\u7684\u4e0d\u540c\u7814\u7a76\u65b9\u5411\u3002\u6839\u636e\u91cf\u5b50\u7cfb\u7edf\uff08Q\uff09\u4e0e\u7ecf\u5178\u7cfb\u7edf\uff08C\uff09\u7684\u76f8\u4e92\u5173\u7cfb\u5206\u4e3a\u56db\u7c7b\uff1a<\/span><\/section>\n
    \n
  1. \n
    Q for Q\uff1a\u9488\u5bf9\u91cf\u5b50\u6570\u636e\u7684\u91cf\u5b50\u7b97\u6cd5\u3002<\/span><\/section>\n<\/li>\n
  2. \n
    Q for C\uff1a\u9488\u5bf9\u7ecf\u5178\u6570\u636e\u7684\u91cf\u5b50\u7b97\u6cd5\u3002<\/span><\/section>\n<\/li>\n
  3. \n
    C for Q\uff1a\u9488\u5bf9\u91cf\u5b50\u6570\u636e\u7684\u7ecf\u5178\u7b97\u6cd5\u3002<\/span><\/section>\n<\/li>\n
  4. \n
    C for C\uff1a\u9488\u5bf9\u7ecf\u5178\u6570\u636e\u7684\u7ecf\u5178\u7b97\u6cd5\u3002<\/span><\/section>\n<\/li>\n<\/ol>\n
    \u672c\u6559\u7a0b\u4e3b\u8981\u5173\u6ce8\u4e8eQ for C\u7c7b\u522b\u3002QML\u8fd8\u53ef\u4ee5\u6839\u636e\u5b66\u4e60\u4efb\u52a1\u3001\u5b66\u4e60\u8303\u5f0f\u4ee5\u53ca\u5e94\u7528\u8fdb\u884c\u5206\u7c7b\u3002<\/span><\/section>\n

    <\/h4>\n

    (1) \u63a8\u52a8 QML \u7684\u7cfb\u7edf\u5316\u4e0e\u6807\u51c6\u5316<\/span><\/strong><\/h4>\n

    AI \u7814\u7a76\u8005\u64c5\u957f\u5efa\u7acb\u5b8c\u6574\u7684\u673a\u5668\u5b66\u4e60\u8bad\u7ec3\u6d41\u7a0b\uff0c\u5305\u62ec\u6570\u636e\u9884\u5904\u7406\u3001\u6a21\u578b\u8bbe\u8ba1\u3001\u8d85\u53c2\u6570\u4f18\u5316\u7b49\u3002\u4ed6\u4eec\u7684\u52a0\u5165\u5c06\u6709\u52a9\u4e8e QML \u9886\u57df\u5efa\u7acb\u7cfb\u7edf\u5316\u7684\u8bad\u7ec3\u6d41\u7a0b\uff0c\u4f18\u5316\u6570\u636e\u8868\u793a\u65b9\u5f0f\uff0c\u5e76\u63a2\u7d22\u66f4\u5177\u53ef\u6269\u5c55\u6027\u7684\u91cf\u5b50\u7b97\u6cd5\u3002<\/span><\/p>\n

    <\/h4>\n

    (2) \u5b9e\u73b0 QML \u7684\u5de5\u7a0b\u5316\u843d\u5730<\/span><\/strong><\/h4>\n

    \u5f53\u524d QML \u4ecd\u5904\u4e8e\u5b9e\u9a8c\u6027\u9636\u6bb5\uff0c\u800c AI \u9886\u57df\u7684\u53d1\u5c55\u5df2\u7ecf\u79ef\u7d2f\u4e86\u4e30\u5bcc\u7684\u5de5\u7a0b\u7ecf\u9a8c\uff0c\u4f8b\u5982\u5927\u89c4\u6a21\u6a21\u578b\u8bad\u7ec3\u3001\u5206\u5e03\u5f0f\u8ba1\u7b97\u3001\u81ea\u52a8\u5316\u5b9e\u9a8c\u7ba1\u7406\u7b49\u3002AI \u7814\u7a76\u8005\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u5de5\u7a0b\u7ecf\u9a8c\u5f15\u5165 QML\uff0c\u4f7f\u5176\u80fd\u591f\u66f4\u5feb\u5730\u4ece\u5b9e\u9a8c\u5ba4\u8d70\u5411\u5b9e\u9645\u5e94\u7528\u3002<\/span><\/p>\n

    <\/h4>\n

    (3) \u4fc3\u8fdb QML \u5728\u5927\u89c4\u6a21 AI \u4efb\u52a1\u4e2d\u7684\u5e94\u7528<\/span><\/strong><\/h4>\n

    AI \u7814\u7a76\u8005\u719f\u6089\u5982\u4f55\u5728\u5927\u89c4\u6a21\u6570\u636e\u96c6\u4e0a\u8bad\u7ec3\u548c\u4f18\u5316\u6a21\u578b\uff0c\u800c QML \u76ee\u524d\u4ecd\u7f3a\u4e4f\u5728\u771f\u5b9e\u4efb\u52a1\u4e0a\u7684\u5927\u89c4\u6a21\u5b9e\u9a8c\u3002\u968f\u7740 AI \u7684\u53d1\u5c55\uff0cAI \u7814\u7a76\u8005\u53ef\u4ee5\u5e2e\u52a9 QML \u7814\u7a76\u627e\u5230\u66f4\u5177\u73b0\u5b9e\u610f\u4e49\u7684\u5e94\u7528\u573a\u666f\uff0c\u5e76\u8bc4\u4f30\u91cf\u5b50\u8ba1\u7b97\u662f\u5426\u80fd\u5728\u8fd9\u4e9b\u573a\u666f\u4e2d\u63d0\u4f9b\u5b9e\u8d28\u6027\u7684\u8ba1\u7b97\u4f18\u52bf\u3002<\/span><\/p>\n


    <\/span><\/p>\n


    <\/span><\/p>\n

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

    \u4e8c\u3001\u672c\u6559\u7a0b\u7684\u4e3b\u8981\u5185\u5bb9<\/strong><\/span><\/strong><\/strong><\/p>\n<\/section>\n

    \n
    <\/section>\n
    <\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n

    <\/p>\n

    \u672c\u6559\u7a0b\u56f4\u7ed5 \u4e94\u5927\u6838\u5fc3\u7ae0\u8282<\/strong>\uff0c\u7cfb\u7edf\u68b3\u7406 QML \u4ece\u57fa\u7840\u5230\u5e94\u7528\u7684\u5b8c\u6574\u6846\u67b6, \u6db5\u76d6\u4e86\u53ef\u5728\u5bb9\u9519\u91cf\u5b50\u8ba1\u7b97\u673a\u548c\u73b0\u6709\u91cf\u5b50\u8ba1\u7b97\u673a\u5b9e\u73b0\u7684\u4ee3\u8868\u6027QML\u7b97\u6cd5\u3002<\/span><\/p>\n


    <\/span><\/p>\n

    1. \u91cf\u5b50\u673a\u5668\u5b66\u4e60\u6982\u8ff0\uff08Chapter 1\uff09<\/strong><\/span><\/h3>\n

    \u4ecb\u7ecd QML \u7684\u7814\u7a76\u80cc\u666f\u3001\u53d1\u5c55\u5386\u7a0b\u3001\u5f53\u524d\u6311\u6218\u4ee5\u53ca\u91cf\u5b50\u8ba1\u7b97\u5bf9\u673a\u5668\u5b66\u4e60\u7684\u6f5c\u5728\u5f71\u54cd\u3002\u672c\u7ae0\u63d0\u4f9b\u4e86\u5bf9\u6574\u4e2a QML \u9886\u57df\u7684\u9ad8\u5c42\u6b21\u6982\u89c8\uff0c\u5e76\u8ba8\u8bba\u4e86 QML \u7684\u6838\u5fc3\u95ee\u9898\u548c\u672a\u6765\u53d1\u5c55\u65b9\u5411\u3002<\/span><\/p>\n


    <\/span><\/p>\n

    2. \u91cf\u5b50\u8ba1\u7b97\u57fa\u7840\uff08Chapter 2\uff09<\/strong><\/span><\/h3>\n

    \u6db5\u76d6 \u7ecf\u5178\u6bd4\u7279 vs \u91cf\u5b50\u6bd4\u7279\u3001\u91cf\u5b50\u95e8\u64cd\u4f5c\u3001\u91cf\u5b50\u6d4b\u91cf\u3001\u91cf\u5b50\u7ebf\u6027\u4ee3\u6570<\/strong> \u7b49\u6838\u5fc3\u6982\u5ff5\uff0c\u5e76\u901a\u8fc7\u4ee3\u7801\u793a\u4f8b\u5c55\u793a \u5982\u4f55\u5c06\u7ecf\u5178\u6570\u636e\u8f6c\u6362\u4e3a\u91cf\u5b50\u6001<\/strong>\u3002\u6b64\u5916\uff0c\u672c\u7ae0\u603b\u7ed3\u4e86\u5f53\u524d\u91cf\u5b50\u8ba1\u7b97\u7684\u6700\u65b0\u8fdb\u5c55\uff0c\u5e76\u63a2\u8ba8\u4e86\u5b9e\u73b0\u91cf\u5b50\u7f13\u5b58\u7b49\u5173\u952e\u5f00\u653e\u95ee\u9898\u3002<\/span><\/p>\n


    <\/span><\/p>\n

    3. \u91cf\u5b50\u6838\u65b9\u6cd5\uff08Chapter 3\uff09<\/strong><\/span><\/h3>\n