{"id":34121,"date":"2019-06-04T00:43:11","date_gmt":"2019-06-03T16:43:11","guid":{"rendered":"https:\/\/case.ntu.edu.tw\/blog\/?p=34121"},"modified":"2019-05-31T08:46:52","modified_gmt":"2019-05-31T00:46:52","slug":"%e8%a4%87%e5%90%88%e5%bc%8f%e9%87%8f%e5%ad%90%e6%a9%9f%e5%99%a8%e5%ad%b8%e7%bf%92","status":"publish","type":"post","link":"https:\/\/case.ntu.edu.tw\/blog\/?p=34121","title":{"rendered":"\u8907\u5408\u5f0f\u91cf\u5b50\u6a5f\u5668\u5b78\u7fd2"},"content":{"rendered":"

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\u64b0\u6587\uff5c\u9673\u5955\u5ef7<\/strong><\/p>\n

\u25cf\u91cf\u5b50\u512a\u52e2\u5f9e\u4f55\u800c\u4f86?<\/strong><\/span><\/p>\n

\u91cf\u5b50\u6f14\u7b97\u6cd5\u53ef\u4ee5\u5927\u7d04\u5206\u70ba\u4e09\u985e\uff1a\u91cf\u5b50\u5085\u7acb\u8449\u8b8a\u63db\u3001\u91cf\u5b50\u641c\u5c0b\u548c\u8907\u5408\u5f0f\u91cf\u5b50\u8a08\u7b97\u3002\u91cf\u5b50\u5085\u7acb\u8449\u8b8a\u63db\u64c5\u9577\u89e3\u6c7a\u5177\u6709\u9031\u671f\u6027\u7684\u554f\u984c\uff0c\u4f8b\u5982\u8cea\u56e0\u6578\u5206\u89e3\u548c\u7834\u89e3RSA\u52a0\u5bc6\u3002\u91cf\u5b50\u641c\u5c0b\u80fd\u5c0b\u627e\u4e00\u500b\u51fd\u6578\u7684\u89e3\u7b54\u3002\u7c97\u7565\u4f86\u8aaa\uff0c\u9019\u5169\u7a2e\u65b9\u6cd5\u5229\u7528\u91cf\u5b50\u529b\u5b78\u4e2d\u7684\u758a\u52a0\u7279\u6027\uff0c\u5c07\u6240\u6709\u8b8a\u6578\u758a\u52a0\u4e00\u4f75\u8a08\u7b97\uff0c\u80fd\u5728\u4e00\u6b21\u904b\u7b97\u4e2d\u7372\u5f97\u6240\u6709\u8b8a\u6578\u7684\u8cc7\u8a0a\u3002\u505a\u4e00\u6b21\u904b\u7b97\u5c31\u6709\u5617\u8a66\u591a\u6b21\u904b\u7b97\u7684\u6548\u679c\uff0c\u56e0\u6b64\u80fd\u6bd4\u53e4\u5178\u96fb\u8166\u6548\u7387\u9084\u9ad8\u3002\u4f46\u662f\u73fe\u968e\u6bb5\u7684\u91cf\u5b50\u96fb\u8166\u9084\u4ecd\u6709\u8a31\u591a\u9650\u5236\uff0c\u5305\u542b\u91cf\u5b50\u4f4d\u5143\u6578\u76ee\u4e0d\u8db3\u3001\u932f\u8aa4\u7387\u9ad8\u548c\u91cf\u5b50\u614b\u7dad\u6301\u6642\u9593\u904e\u77ed\u7b49\u554f\u984c\uff0c\u96e3\u4ee5\u5c07\u9019\u5169\u500b\u65b9\u6cd5\u61c9\u7528\u5728\u73fe\u5be6\u554f\u984c\u4e2d\u3002\u4ee5\u7834\u89e3RSA-2048\u52a0\u5bc6\u70ba\u4f8b\uff0c\u9019\u9700\u8981\u4e0a\u767e\u842c\u500b\u91cf\u5b50\u4f4d\u5143\uff0c\u800c\u7576\u4eca\u7684\u4e16\u754c\u8a18\u9304\u53ea\u6709\u5e7e\u5341\u500b\u3002<\/p>\n

\u56e0\u61c9\u9019\u500b\u9650\u5236\uff0c\u8907\u5408\u5f0f\u91cf\u5b50\u96fb\u8166(Hybrid Quantum Computer)\u88ab\u8a8d\u70ba\u662f\u672a\u4f86\u5341\u5e74\u91cf\u5b50\u8a08\u7b97\u7684\u6838\u5fc3\u67b6\u69cb\u3002\u5728\u9019\u500b\u67b6\u69cb\u4e0b\uff0c\u904b\u7b97\u554f\u984c\u88ab\u62c6\u89e3\u6210\u8a31\u591a\u91cd\u8907\u7684\u5c0f\u554f\u984c\u3002\u91cf\u5b50\u96fb\u8166\u6bcf\u89e3\u6c7a\u4e00\u500b\u7684\u5c0f\u554f\u984c\uff0c\u5c31\u628a\u7b54\u6848\u50b3\u7d66\u53e4\u5178\u96fb\u8166\uff0c\u800c\u53e4\u5178\u96fb\u8166\u7e7c\u7e8c\u5206\u914d\u4e0b\u4e00\u500b\u5c0f\u554f\u984c\u7d66\u91cf\u5b50\u96fb\u8166\u3002\u5982\u6b64\u4e00\u4f86\uff0c\u91cf\u5b50\u96fb\u8166\u4e0d\u9700\u8981\u7d00\u9304\u592a\u591a\u8cc7\u8a0a\uff0c\u80fd\u89e3\u6c7a\u91cf\u5b50\u614b\u7dad\u6301\u6642\u9593\u5f88\u77ed\u548c\u91cf\u5b50\u4f4d\u5143\u6578\u4f4e\u7684\u56f0\u96e3\u3002\u96d6\u7136\u53e4\u5178\u548c\u91cf\u5b50\u96fb\u8166\u5408\u4f5c\uff0c\u4f46\u662f\u56f0\u96e3\u7684\u8a08\u7b97\u662f\u5728\u91cf\u5b50\u96fb\u8166\u4e0a\u505a\u7684\uff0c\u6574\u9ad4\u7684\u8a08\u7b97\u80fd\u529b\u662f\u91cf\u5b50\u96fb\u8166\u7684\u3002\u9019\u6a23\u7684\u8907\u5408\u5f0f\u67b6\u69cb\u662f\u8fd1\u4e09\u5e74\u5167\u5b78\u754c\u548c\u696d\u754c\u7814\u7a76\u548c\u61c9\u7528\u7684\u91cd\u9ede\u3002<\/p>\n

\"\"
\u5716\u4e00\u3001\u8907\u5408\u5f0f\u91cf\u5b50\u96fb\u8166\u793a\u610f\u5716<\/figcaption><\/figure>\n

\u25cf\u652f\u63f4\u5411\u91cf\u6a5f<\/span><\/strong><\/p>\n

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\u5728\u6bd4\u8f03\u8907\u96dc\u7684\u60c5\u6cc1(\u5716\u4e8cB)\uff0c\u85cd\u9ede\u548c\u7d05\u9ede\u7121\u6cd5\u88ab\u4e00\u689d\u76f4\u7dda\u5207\u958b\u3002\u9019\u6642\u5019\u53ef\u4ee5\u4f7f\u7528\u64f4\u5145\u7dad\u5ea6\uff1a\u9664\u4e86\u81bd\u56fa\u9187\u548c\u9ad4\u8102\u80aa\u5916\uff0c\u518d\u984d\u5916\u88fd\u9020\u7b2c\u4e09\u500b\u7dad\u5ea6z=(\u81bd\u56fa\u9187)2<\/sup>+(\u9ad4\u8102\u80aa)2<\/sup>\u3002\u5982\u5716\u4e8cC\u6240\u793a\uff0c\u52a0\u4e0a\u64f4\u5145\u7dad\u5ea6\u5f8c\uff0c\u85cd\u9ede\u548c\u7d05\u9ede\u53ef\u4ee5\u88ab\u4e00\u500b\u5e73\u9762\u756b\u958b\u3002\u4f46\u96a8\u8457\u5206\u985e\u7684\u8907\u96dc\u5ea6\u5347\u9ad8\uff0c\u64f4\u5145\u7dad\u5ea6\u6703\u8d8a\u4f86\u8d8a\u8907\u96dc\uff0c\u8a08\u7b97\u96e3\u5ea6\u5c07\u5927\u5e45\u63d0\u5347[\u8a3b]\u3002\u9019\u6b63\u662f\u91cf\u5b50\u96fb\u8166\u4ecb\u5165\u7684\u6642\u5019\uff01<\/p>\n

\"\"
\u5716\u4e8c\u3001(A) \u7c21\u55ae\u7684\u5206\u985e\u554f\u984c\u3002(B)\u7a0d\u96e3\u7684\u5206\u985e\u554f\u984c\u3002(C)\u64f4\u5145\u7a7a\u9593\u8b93\u652f\u63f4\u5411\u91cf\u6a5f\u5206\u985e\u66f4\u5bb9\u6613\u3002<\/figcaption><\/figure>\n

\u25cf\u652f\u63f4\u5411\u91cf\u6a5f\u7684\u91cf\u5b50\u5316<\/span><\/strong><\/p>\n

\u4e0d\u540c\u65bc\u53e4\u5178\u4f4d\u5143\u76840\u548c1\uff0c\u91cf\u5b50\u4f4d\u5143\u662f0\u548c1\u7684\u758a\u52a0\u3002\u4e0d\u50c5\u5982\u6b64\uff0c\u91cf\u5b50\u4f4d\u5143\u50cf\u6ce2\u52d5\u4e00\u6a23\uff0c\u9664\u4e86\u5f37\u5ea6\u4e4b\u5916\uff0c\u9084\u6709\u76f8\u4f4d\u9019\u500b\u7279\u6027\u3002\u55ae\u4e00\u500b\u91cf\u5b50\u4f4d\u5143\u7684\u8cc7\u8a0a\u5bc6\u5ea6\u6bd4\u53e4\u5178\u4f4d\u5143\u9ad8\uff0c\u56e0\u6b64\u5c0d\u8907\u96dc\u51fd\u6578\u7684\u8868\u73fe\u529b(expressive power)\u9ad8\uff0c\u5f88\u9069\u5408\u7528\u4f86\u5efa\u69cb\u64f4\u5145\u7a7a\u9593\u3002\u5716\u4e09A\u662f\u91cf\u5b50\u652f\u63f4\u5411\u91cf\u6a5f\u7684\u67b6\u69cb\uff0c\u5c07\u8cc7\u6599\u8f38\u5165\u91cf\u5b50\u96fb\u8166\uff0c\u5b83\u80fd\u5efa\u69cb\u51fa\u8907\u96dc\u7684\u64f4\u5145\u7dad\u5ea6\u3002\u518d\u628a\u7d50\u679c\u50b3\u7d66\u53e4\u5178\u96fb\u8166\uff0c\u8b93\u53e4\u5178\u96fb\u8166\u5728\u64f4\u5145\u7a7a\u9593\u4e2d\u756b\u51fa\u4e00\u500b\u5e73\u9762\uff0c\u628a\u8cc7\u6599\u5206\u6210\u5169\u985e\u3002\u5716\u4e09B\u662f\u53c3\u8003\u8cc7\u65991\u4e2d\u7684\u5206\u985e\u7d50\u679c\uff0c\u767d\u9ede\u548c\u9ed1\u9ede\u5206\u5225\u662f\u5169\u500b\u5206\u985e\u3002\u5982\u679c\u53ea\u7528\u53e4\u5178\u96fb\u8166\uff0c\u6050\u6015\u5f88\u96e3\u628a\u767d\u9ede\u548c\u9ed1\u9ede\u5206\u958b\uff0c\u4f46\u662f\u91cf\u5b50\u96fb\u8166\u537b\u80fd\u628a\u5b83\u5011\u6b63\u78ba\u5206\u985e(\u7d05\u85cd\u5169\u500b\u5340\u57df)\u3002<\/p>\n

\u9019\u500b\u91cf\u5b50\u652f\u63f4\u5411\u91cf\u6a5f\u53ea\u662f\u8907\u5408\u5f0f\u91cf\u5b50\u6a5f\u5668\u5b78\u7fd2\u7684\u5176\u4e2d\u4e00\u500b\u65b9\u6cd5\uff0c\u5728\u53c3\u8003\u8cc7\u65991\u4e2d\u6709\u63d0\u5230\u5176\u4ed6\u67b6\u69cb\u3002\u6a5f\u5668\u5b78\u7fd2\u76f8\u5c0d\u91cf\u5b50\u96fb\u8166\u767c\u5c55\u6210\u719f\uff0c\u5f88\u591a\u6a5f\u5668\u5b78\u7fd2\u7684\u6280\u8853\u80fd\u76f4\u63a5\u5f15\u5165\u91cf\u5b50\u96fb\u8166\uff0c\u589e\u52a0\u91cf\u5b50\u8a08\u7b97\u7684\u6548\u80fd\u3002\u4f46\u662f\u53e4\u5178\u96fb\u8166\u548c\u91cf\u5b50\u96fb\u8166\u7684\u904b\u7b97\u539f\u7406\u4ecd\u6709\u8a31\u591a\u5dee\u7570\uff0c\u6709\u5f88\u591a\u4e0d\u80fd\u76f4\u63a5\u53c3\u8003\u53e4\u5178\u96fb\u8166\u7684\u90e8\u5206\u3002\u9019\u4e9b\u90e8\u5206\u6709\u5f85\u7269\u7406\u5b78\u5bb6\u548c\u96fb\u8166\u79d1\u5b78\u5bb6\u6295\u5165\u7814\u7a76\u3002<\/p>\n

\"\"
\u5716\u4e09\u3001(A) \u8907\u5408\u5f0f\u91cf\u5b50\u652f\u63f4\u5411\u91cf\u6a5f\u7684\u67b6\u69cb\u3002(B) \u5728\u91cf\u5b50\u96fb\u8166\u4e2d\u7684\u64f4\u5145\u5e73\u9762\u80fd\u89e3\u6c7a\u8907\u96dc\u7684\u5206\u985e\u554f\u984c\u3002<\/figcaption><\/figure>\n

[\u8a3b]\u300c\u64f4\u5145\u7dad\u5ea6\u300d\u5728\u82f1\u6587\u7684\u6587\u737b\u4e2d\u7ffb\u8b6f\u6bd4\u8f03\u63a5\u8fd1\u300c\u5167\u6838\u65b9\u6cd5(kernel method)\u300d\u3002<\/p>\n

\u53c3\u8003\u8cc7\u6599\uff1a<\/strong>
\n[1] Vojt\u011bch Havl\u00ed\u010dek et al., Supervised learning with quantum-enhanced feature spaces, Nature volume 567, pages 209\u2013212 (2019)
\n[2] Jarrod R. McClean et al., Barren plateaus in quantum neural network training landscapes, Nature Communication 9, Article number: 4812 (2018)<\/p>\n

--
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