{"id":1941,"date":"2016-07-10T23:55:55","date_gmt":"2016-07-10T15:55:55","guid":{"rendered":"http:\/\/systemsci.org\/jinshanw\/?p=1941"},"modified":"2017-03-30T08:01:58","modified_gmt":"2017-03-30T00:01:58","slug":"can-machine-learn-quantum-mechanics","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2016\/07\/10\/can-machine-learn-quantum-mechanics\/","title":{"rendered":"\u673a\u5668\u5b66\u4e60\u80fd\u591f\u5b66\u4f1a\u91cf\u5b50\u529b\u5b66\u5417\uff1f"},"content":{"rendered":"<p>\u7ecf\u5178\u548c\u91cf\u5b50\u7cfb\u7edf\u7684\u884c\u4e3a\u548c\u7406\u8bba\u6709\u5f88\u5927\u7684\u533a\u522b\u3002\u4e00\u822c\u8ba4\u4e3a\u7ecf\u5178\u7684\u6570\u5b66\u6a21\u578b\uff08\u6b27\u5f0f\u7a7a\u95f4\u77e2\u91cf\u3001\u6982\u7387\u5206\u5e03\uff09\u662f\u4e0d\u80fd\u63cf\u8ff0\u91cf\u5b50\u7cfb\u7edf\u7684\u3002\u89c1<a href=\"http:\/\/www.systemsci.org\/jinshanw\/2015\/10\/30\/quantum-v-s-classical\/\">\u7ecf\u5178\u548c\u91cf\u5b50\u7684\u533a\u522b<\/a>\u3002<\/p>\n<p>\u4e4b\u524d\u6211\u63d0\u51fa\u6765\u4e00\u4e2a\u8bad\u7ec3\u673a\u5668\u5b66\u4e60\u6765\u6c42\u89e3Schrodinger\u65b9\u7a0b\u7684\u7814\u7a76\u8ba1\u5212\uff0c\u770b\u770b\u662f\u4e0d\u662f\u4ec5\u4ec5\u901a\u8fc7\u95ee\u9898\u548c\u5df2\u77e5\u7684\u7b54\u6848\uff0c\u80fd\u591f\u5f97\u5230\u4e00\u4e2aSchrodinger\u65b9\u7a0b\u6c42\u89e3\u5668\u3002\u89c1<a href=\"http:\/\/www.systemsci.org\/jinshanw\/2016\/05\/08\/%E8%AE%AD%E7%BB%83%E5%AD%A6%E4%B9%A0%E6%9C%BA%E7%94%A8%E6%9D%A5%E6%B1%82%E8%A7%A3schrodinger%E6%96%B9%E7%A8%8B\/\">\u8bad\u7ec3\u5b66\u4e60\u673a\u7528\u6765\u6c42\u89e3Schrodinger\u65b9\u7a0b<\/a><\/p>\n<p>\u4e0d\u8fc7\uff0c\u7531\u4e8e\u5199\u6210Schrodinger\u65b9\u7a0b\u4e4b\u540e\uff0c\u91cf\u5b50\u529b\u5b66\u592a\u50cf\u4e00\u4e2a\u7ecf\u5178\u65b9\u7a0b\u4e86\uff0c\u56e0\u6b64\uff0c\u5c31\u7b97\u80fd\u591f\u5b66\u5f97\u51fa\u6765\u8fd9\u6837\u7684\u6c42\u89e3\u5668\uff0c\u4e5f\u4e0d\u5947\u602a\u3002\u5982\u679c\u5f97\u5230\u6ce2\u51fd\u6570\uff0c\u7136\u540e\u52a0\u5165\u6d4b\u91cf\uff0c\u5f97\u5230\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u80fd\u591f\u901a\u8fc7\u5b66\u4e60\u5668\u7ed9\u51fa\u6765\uff0c\u5c31\u771f\u7684\u975e\u5e38\u5947\u602a\u4e86\u3002<\/p>\n<p>\u4e8e\u662f\uff0c\u6211\u63d0\u51fa\u6765\u4ece\u5149\u5b66\u5b9e\u9a8c\u7684\u4eea\u5668\u7ec4\u5408\u51fa\u53d1\uff0c\u7ed9\u5b9a\u8bad\u7ec3\u6837\u672c\uff1a\u4eea\u5668\u3001\u7ec4\u5408\u3001\u5b9e\u9a8c\u7ed3\u679c\uff0c\u7136\u540e\u770b\u770b\u662f\u5426\u80fd\u591f\u5728\u672a\u8bad\u7ec3\u7684\u5b9e\u9a8c\u4e0a\u4e5f\u5f97\u5230\u548c\u91cf\u5b50\u7406\u8bba\u4e00\u81f4\u7684\u7ed3\u679c\u3002<\/p>\n<p>\u5982\u679c\u8bc1\u660e\u80fd\u591f\u5b66\u5230\uff0c\u4e5f\u5c31\u662f\u901a\u8fc7\u4ece\u4e00\u5806\u5b9e\u9a8c\u4eea\u5668\u548c\u8fc7\u7a0b\u4ee5\u53ca\u76f8\u5e94\u7684\u6d4b\u91cf\u7ed3\u679c\u91cc\u9762\u5b66\u4e60\u5230\u7684\u6a21\u578b\u80fd\u591f\u7528\u6765\u7ed9\u51fa\u6b63\u786e\u7684\u53e6\u4e00\u5957\u540c\u6837\u7684\u4f46\u662f\u987a\u5e8f\u65b9\u5411\u7b49\u7ec6\u8282\u4e0d\u4e00\u6837\u7684\u5b9e\u9a8c\u88c5\u7f6e\u7684\u6d4b\u91cf\u7ed3\u679c\u7684\u8bdd\uff0c\u5012\u662f\u6bd4\u8f83\u7b80\u5355\uff0c\u5f53\u7136\u610f\u4e49\u975e\u51e1\u2014\u2014<strong>\u76f8\u5f53\u4e8e\u627e\u5230\u4e86\u91cf\u5b50\u7cfb\u7edf\u7684\u7ecf\u5178\u7406\u8bba\uff0c\u4e5f\u5c31\u662f\u5b9e\u73b0\u4e86\u9690\u53d8\u91cf\u7406\u8bba\u7684\u76ee\u6807<\/strong>\uff0c\u5982\u679c\u6211\u4eec\u7684\u5b66\u4e60\u673a\u8fd8\u662f\u7ecf\u5178\u7684\u8bdd\uff1b\u5982\u679c\u6570\u636e\u7ed3\u8bba\u662f\u53cd\u9762\u7684\uff0c\u90a3\u903b\u8f91\u7ed3\u8bba\u6bd4\u8f83\u96be\u529e\u2014\u2014\u5f88\u6709\u53ef\u80fd\u662f\u6ca1\u6709\u89e3\u51b3\u597d\uff0c\u800c\u4e0d\u662f\u65b9\u6cd5\u548c\u601d\u8def\u6709\u95ee\u9898\u3002\u56e0\u6b64\uff0c\u9700\u8981\u505a\u597d\u4e00\u4e2a\u5bf9\u6bd4\uff1a\u7c7b\u4f3c\u7684\u7ecf\u5178\u7684\u60c5\u51b5\uff0c\u673a\u5668\u5b66\u4e60\u80fd\u591f\u5b8c\u5168\u5b66\u5230\u6ca1\u6709\u4efb\u4f55\u95ee\u9898\uff0c\u7136\u540e\u540c\u65f6\uff0c\u5bf9\u6bd4\u91cf\u5b50\u7684\u60c5\u51b5\uff0c\u5b66\u4e0d\u5230\u3002\u6700\u597d\u518d\u589e\u52a0\u4e00\u4e2a\u91cf\u5b50\u5b66\u4e60\u673a\u7684\u5b66\u4e60\u7ed3\u679c\u5bf9\u6bd4\uff0c\u5982\u679c\u91cf\u5b50\u5b66\u4e60\u673a\u80fd\u591f\u5b66\u5230\uff0c\u7ecf\u5178\u5b66\u4e60\u673a\u5b66\u4e0d\u5230\uff0c\u800c\u4e14\u7ecf\u5178\u5b66\u4e60\u673a\u5728\u7c7b\u4f3c\u7684\u7ecf\u5178\u95ee\u9898\u4e2d\u80fd\u5b66\u5230\u3002\u8fd9\u6837\u5c31\u80fd\u591f\u7a0d\u5fae\u66f4\u52a0\u6709\u8bf4\u670d\u529b\u4e00\u70b9\uff0c\u5c3d\u7ba1\u8fd8\u662f\u6709\u53ef\u80fd\u4e0d\u662f\u65b9\u6cd5\u548c\u601d\u8def\u7684\u95ee\u9898\u3002<\/p>\n<p>\u5177\u4f53\u7814\u7a76\u8ba1\u5212\u5982\u4e0b<\/p>\n<ul>\n<li>\u7406\u8bba\u4e0a\uff0c\u91cf\u5b50\u529b\u5b66\u63d0\u4f9b\u4e86\u4e09\u6837\u4e1c\u897f\u6765\u63cf\u8ff0\u91cf\u5b50\u7cfb\u7edf\uff1a\u72b6\u6001\u77e2\u91cf\u6216\u8005\u8bf4\u5bc6\u5ea6\u77e9\u9635\u4ee5\u53ca\u6295\u5f71\u6d4b\u91cf\u7684\u8ba1\u7b97\uff08\u5728\u6b64\uff0c\u6211\u4eec\u4ec5\u5173\u5fc3\u6295\u5f71\u6d4b\u91cf\uff09\u3001\u53e0\u52a0\u539f\u7406\u4ee5\u53ca\u4ec0\u4e48\u60c5\u51b5\u4e0b\u53e0\u52a0\u539f\u7406\u53ef\u7528\u3001\u6f14\u5316\u65b9\u7a0b\u3002\u6240\u8c13\u5b66\u4e60\u5230\u91cf\u5b50\u529b\u5b66\u6307\u7684\u5c31\u662f\u5b66\u5230\u8fd9\u4e09\u6837\u4e1c\u897f\uff0c\u6216\u8005\u8bf4\u5b66\u5230\u548c\u8fd9\u4e09\u6837\u4e1c\u897f\u7ed9\u51fa\u6765\u7684\u7ed3\u679c\u4e00\u81f4\u7684\u67d0\u4e2a\u4e1c\u897f\u3002\u6f14\u5316\u65b9\u7a0b\u4e3a\u4e86\u7b80\u5355\u8ba1\uff0c\u53e6\u5916\u4e5f\u53ef\u4ee5\u76f8\u4fe1\u5982\u679c\u5b66\u4f1a\u4e86\u5bc6\u5ea6\u77e9\u9635\u548c\u53e0\u52a0\u539f\u7406\u6f14\u5316\u65b9\u7a0b\u7684\u90e8\u5206\u66f4\u52a0\u5bb9\u6613\u5b66\u4f1a\uff0c\u5c31\u6682\u65f6\u4e0d\u8003\u8651\u3002\n<ol>\n<li>\u72b6\u6001\u63cf\u8ff0\u548c\u6d4b\u91cf\u5728\u91cf\u5b50\u529b\u5b66\u7684\u8bed\u8a00\u4e0b\u662f\u8fd9\u6837\u7684\uff1a\u91cf\u5b50\u7cfb\u7edf\u7684\u72b6\u6001\u662f\u5bc6\u5ea6\u77e9\u9635&#092;(\\rho&#092;)\uff0c\u6d4b\u91cf\u4e00\u4e2a\u7269\u7406\u91cf\u5f97\u5230\u7684\u72b6\u6001&#092;(O&#092;)\u662f\u8fd9\u4e2a\u7269\u7406\u91cf\u5bf9\u5e94\u7740\u7684\u7b97\u7b26&#092;(\\hat{O}&#092;)\u7684\u672c\u5f81\u6001\u4e4b\u4e00&#092;(\\left|o\\right&gt;&#092;)\uff0c\u5176\u6982\u7387\u662f&#092;(\\left&lt;o\\right|\\rho \\left|o\\right&gt;&#092;)\uff0c\u6d4b\u91cf\u540e\u72b6\u6001\u662f&#092;(\\left|o\\right&gt;\\left&lt;o\\right|&#092;)\u3002<\/li>\n<li>\u53e0\u52a0\u539f\u7406\u5728\u91cf\u5b50\u529b\u5b66\u8bed\u8a00\u4e0b\u662f\u8fd9\u6837\u7684\uff1a\u5982\u679c\u4e00\u4e2a\u91cf\u5b50\u7cfb\u7edf\u6709\u591a\u79cd\u53ef\u80fd\u7684\u72b6\u6001\uff0c\u4f8b\u5982\u7ecf\u8fc7\u4e0d\u540c\u7684\u8def\u5f84\u4e0a\u7684\u88c5\u7f6e\u5230\u8fbe\u540c\u4e00\u4e2a\u5730\u70b9\u7684\u81ea\u65cb\u6216\u8005\u5149\u5b50\uff0c\u5219\u6574\u4f53\u72b6\u6001\u662f\u4e24\u4e2a\u53ef\u80fd\u72b6\u6001\u5bf9\u5e94\u7684\u77e2\u91cf\u7684\u53e0\u52a0\u6001\uff0c\u4e5f\u5c31\u662f\uff0c\u5982\u679c&#092;(\\rho_{a}=\\left|\\psi_{a}\\right&gt;\\left&lt;\\psi_{a}\\right|&#092;)\uff0c&#092;(\\rho_{b}=\\left|\\psi_{b}\\right&gt;\\left&lt;\\psi_{b}\\right|&#092;)\uff0c\u5219\u5408\u8d77\u6765\u7684\u72b6\u6001\u662f&#092;(\\rho=\\left|\\psi_{a}+\\psi_{b}\\rangle\\langle \\psi_{a}+\\psi_{b} \\right|&#092;)\u3002\u7531\u4e8e\u8fd9\u4e2a\u53e0\u52a0\u6027\u7684\u9002\u7528\u6761\u4ef6\u7275\u6d89\u5230\u662f\u5426\u4e0d\u53ef\u533a\u5206\uff0c\u800c\u662f\u5426\u4e0d\u53ef\u533a\u5206\u7275\u6d89\u5230\u7ea0\u7f20\u6001\u548c\u90e8\u5206\u8ff9\uff0c\u8fd9\u4e00\u70b9\uff0c\u4e5f\u53ef\u4ee5\u6682\u65f6\u4e0d\u8003\u8651\u3002\u5f53\u7136\uff0c\u5bc6\u5ea6\u77e9\u9635\u548c\u77e2\u91cf\u7a7a\u95f4\u672c\u8eab\u5305\u542b\u7684\u53e0\u52a0\u6027\u5df2\u7ecf\u4f53\u73b0\u5728\u4e0a\u9762\u90a3\u4e00\u6761\u91cc\u9762\u4e86\u3002<\/li>\n<li>\u56e0\u6b64\uff0c\u6574\u4e2a\u6240\u8c13\u91cf\u5b50\u7cfb\u7edf\u7684\u884c\u4e3a\u80fd\u591f\u4e0d\u7528\u91cf\u5b50\u529b\u5b66\u800c\u662f\u7528\u7ecf\u5178\u5b66\u4e60\u673a\u6765\u5b66\u5230\u7684\u95ee\u9898\uff0c\u4e5f\u5c31\u6210\u4e86\u5b66\u4e60\u5230\u80fd\u591f\u7528\u6765\u7ed9\u51fa\u6b63\u786e\u7684\u6d4b\u91cf\u7ed3\u679c\uff0c\u5e76\u4e14\u8fd9\u4e2a\u6d4b\u91cf\u7ed3\u679c\u4e0d\u5305\u542b\u591a\u6761\u8def\u5f84\u53ef\u533a\u5206\u7684\u95ee\u9898\u3002\u4e8e\u662f\uff0c\u4e3b\u8981\u7684\u5b9e\u9a8c\u7ed3\u679c\u5c31\u6210\u4e86\u63cf\u8ff0\u4e0b\u9762\u7684\u91cf\u5b50\u7cfb\u7edf\u7684\u5b9e\u9a8c\u884c\u4e3a\uff0c\u5f53\u7136\u5176\u4e2d\u8fd9\u4e9b\u78c1\u573a\u7684\u65b9\u5411\u53ef\u4ee5\u968f\u610f\u66f4\u6362\u3002<br \/>\n         <img loading=\"lazy\" src=\"http:\/\/www.systemsci.org\/jinshanw\/wp-content\/uploads\/sites\/2\/2016\/07\/SG.png\" alt=\"SG\" width=\"600\" height=\"400\" class=\"alignnone size-medium wp-image-2389\" \/><br \/>\n         \u5176\u4e2d\u7684\u5b9e\u9a8c(c)\u5b9e\u9645\u4e0a\u662f\u4e0d\u80fd\u7528\u4efb\u4f55\u7ecf\u5178\u7406\u8bba\u6765\u89e3\u91ca\u7684\uff1a\u5728\u5236\u5907\u9636\u6bb5\u88ab\u6d88\u706d\u7684\u72b6\u6001\u540e\u6765\u5728\u6700\u540e\u7684\u6d4b\u91cf\u4e2d\u4f1a\u518d\u4e00\u6b21\u51fa\u73b0\u3002<\/li>\n<\/ol>\n<\/li>\n<li>\u91cf\u5b50\u529b\u5b66\u5bf9\u8fd9\u4e2a\u95ee\u9898\u7684\u8ba1\u7b97\u5f88\u7b80\u5355\uff1a\u7ed9\u5b9a\u4e00\u4e2a&#092;(\\left(\\theta_{1}, \\phi_{1}\\right)&#092;)\u65b9\u5411\u7684\u88c5\u7f6e\uff0c\u6321\u4f4f&#092;(-\\xi\uff1d\\pm 1&#092;)\u7684\u4e00\u9762\u8ba9&#092;(\\xi&#092;)\u7684\u4e00\u9762\u7684\u5149\u5b50\u8fdb\u5165\u4e0b\u4e00\u6b65\u5b9e\u9a8c\uff0c\u5219\u8fd9\u4e2a\u65f6\u5019\u5149\u5b50\u7684\u72b6\u6001\u662f&#092;(\\left|\\xi \\hat{r}\\left(\\theta_{1}, \\phi_{1}\\right)\\right\\rangle\\left\\langle \\xi \\hat{r}\\left(\\theta_{1}, \\phi_{1}\\right) \\right|&#092;)\uff0c\u5b83\u662f\u7b97\u7b26&#092;(\\hat{r}\\left(\\theta_{1}, \\phi_{1}\\right) \\cdot \\vec{\\hat{\\sigma}}&#092;)\u7684\u672c\u5f81\u503c\u4e3a&#092;(\\xi&#092;)\u7684\u672c\u5f81\u5411\u91cf\uff0c\u5176\u4e2d&#092;(\\vec{\\hat{\\sigma}}&#092;)\u662f\u4e09\u4e2aPauli\u77e9\u9635\u3002\u4e8e\u662f\uff0c\u5982\u679c\u8fd9\u4e2a\u72b6\u6001\uff0c\u5982\u679c\u9047\u5230\u4e00\u4e2a&#092;(\\left(\\theta_{2}, \\phi_{2}\\right)&#092;)\u65b9\u5411\u7684\u6d4b\u91cf\uff0c\u5219\u6d4b\u91cf\u7ed3\u679c\u53ef\u80fd\u662f&#092;(\\eta = \\pm 1&#092;)\uff0c\u5176\u76f8\u5e94\u7684\u6982\u7387\u4e3a&#092;(\\left\\langle \\eta \\hat{r}\\left(\\theta_{2}, \\phi_{2}\\right) \\right|\\left. \\xi \\hat{r}\\left(\\theta_{1}, \\phi_{1}\\right)\\right\\rangle\\left\\langle \\xi \\hat{r}\\left(\\theta_{1}, \\phi_{1}\\right) \\right.\\left|\\eta \\hat{r}\\left(\\theta_{2}, \\phi_{2}\\right)\\right\\rangle&#092;)\uff0c\u6d4b\u91cf\u540e\u7684\u72b6\u6001\u662f&#092;(\\left|\\eta \\hat{r}\\left(\\theta_{2}, \\phi_{2}\\right)\\right\\rangle\\left\\langle \\eta \\hat{r}\\left(\\theta_{2}, \\phi_{2}\\right) \\right|&#092;)\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ed9\u5b9a\u91cf\u5b50\u95ee\u9898\u8bad\u7ec3\u96c6\uff1a\u4e5f\u5c31\u662f\u4e0a\u9762\u7684\u56fe(a,b,c)\uff0c\u5176\u4e2d\u78c1\u573a\u65b9\u5411\u53ef\u4ee5\u4efb\u610f\uff0c\u5bf9\u7ed3\u679c\u505a\u91cf\u5b50\u529b\u5b66\u8ba1\u7b97\u6765\u5f97\u5230\u7ed3\u679c\u5e76\u7528\u7ed3\u679c\u6765\u6807\u6ce8\u3002\u8fdb\u884c\u8bad\u7ec3\u3002\u8bad\u7ec3\u5f97\u5230\u7684\u5b66\u4e60\u673a\u7528\u6765\u9884\u6d4b\u6d4b\u8bd5\u96c6\u7684\u5b9e\u9a8c\u7ed3\u679c\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c<strong>\u6211\u4eec\u8fd0\u7528\u8fd9\u51e0\u6837\u4e1c\u897f\u2014\u2014\u82e5\u5e72\u4e2a\u67d0\u4e2a\u65b9\u5411\u7684\u78c1\u573a\uff0c\u6321\u4f4f\u67d0\u4e2a\u65b9\u5411\u7684\u8f93\u51fa\u7684\u7269\u5757\u2014\u2014\u6765\u7ec4\u6210\u4efb\u610f\u7684\u5b9e\u9a8c\u8fc7\u7a0b\uff0c\u673a\u5668\u5b66\u4e60\u7684\u76ee\u7684\u662f\u7ed9\u6211\u4eec\u8fd9\u6837\u7684\u5b9e\u9a8c\u8fc7\u7a0b\u7684\u6b63\u786e\u7684\u7ed3\u679c\u2014\u2014\u8868\u73b0\u4e3a\u6700\u7ec8\u5411\u4e0a\u548c\u5411\u4e0b\u8f93\u51fa\u7684\u6982\u7387<\/strong>\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f5c\u4e3a\u5bf9\u6bd4\uff0c\u6211\u4eec\u63d0\u4f9b\u91cf\u5b50\u529b\u5b66\u7684\u8ba1\u7b97\u6846\u67b6\uff0c\u5728\u5df2\u77e5\u8fd9\u4e2a\u8ba1\u7b97\u6846\u67b6\u7684\u6761\u4ef6\u4e0b\u6765\u5b66\u4e60\uff0c\u770b\u770b\u7ecf\u5178\u5b66\u4e60\u673a\u662f\u5426\u80fd\u591f\u5b66\u5230\u3002\u4e5f\u5c31\u662f\u7ed9\u5b9a<br \/>\n\\begin{equation}<br \/>\n\\left|\\xi \\hat{r}\\left(\\theta, \\phi\\right)\\right\\rangle = \\left[\\begin{array}{c}\\alpha \\left(\\theta, \\phi\\right), \\beta\\left(\\theta, \\phi\\right) \\end{array}\\right]^{T},<br \/>\n\\end{equation}<br \/>\n\u770b\u770b\u80fd\u5426\u5b66\u4e60\u5230\u8fd9\u4e9b\u51fd\u6570&#092;(\\alpha, \\beta&#092;)\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ed9\u5b9a\u7ecf\u5178\u95ee\u9898\u548c\u8bad\u7ec3\u96c6\uff1a\u8003\u8651\u4e00\u4e2a\u7ecf\u5178\u591a\u9762\u4f53\uff0c\u5176\u72b6\u6001\u662f\u591a\u9762\u4f53&#092;(S&#092;)\u4e2d\u7684\u4e00\u9762&#092;(s&#092;)\u4ee5\u53ca\u8fd9\u4e9b\u9762\u7684\u6982\u7387\u5206\u5e03&#092;(\\rho\\left(s\\right)&#092;)\u3002\u6709\u4e86\u8fd9\u4e2a\u591a\u9762\u4f53\u4e5f\u5c31\u6709\u4e86\u6539\u53d8\u8fd9\u4e2a\u7cfb\u7edf\u7684\u72b6\u6001\u7684\u65b9\u5f0f\uff0c\u4e5f\u5c31\u662f\u7b97\u7b26&#092;(\\Lambda&#092;)\u2014\u2014\u5176\u6bcf\u4e00\u4e2a\u5143\u7d20\u662f&#092;(s&#092;)\u4e2a\u72b6\u6001\u7684\u7f6e\u6362\u77e9\u9635\u2014\u2014\u548c\u6240\u5bf9\u5e94\u7684\u7269\u7406\u64cd\u4f5c\u3002\u7136\u540e\uff0c\u901a\u8fc7\u5728\u7ed9\u51fa\u6765\u8fd9\u4e9b\u4f5c\u7528\u7b97\u7b26\u548c\u6d4b\u91cf\u7b97\u7b26\u7684\u987a\u5e8f\u5e76\u4e14\u505a\u597d\u7ed3\u679c\u6807\u8bb0\u7684\u8bad\u7ec3\u96c6\u4e0a\u505a\u8bad\u7ec3\uff0c\u8ddf\u91cf\u5b50\u7cfb\u7edf\u7684\u5b66\u4e60\u4e00\u6837\uff0c\u80fd\u591f\u5bf9\u65b0\u7684\u7b97\u7b26\u7684\u7ec4\u5408\u7ed9\u51fa\u6765\u6b63\u786e\u7684\u6d4b\u91cf\u7ed3\u679c\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u6211\u4eec\u60f3\u770b\u4e00\u770b\uff0c\u662f\u5426\u7ecf\u5178\u7cfb\u7edf\u7684\u5b66\u4e60\u53ef\u4ee5\u6210\u529f\uff0c\u91cf\u5b50\u7cfb\u7edf\u7ed9\u51fa\u6765\u6570\u5b66\u63cf\u8ff0\u7684\u9700\u8981\u5b66\u5230\u51fd\u6570\u7684\u5b66\u4e60\u4e5f\u53ef\u4ee5\u6210\u529f\uff0c\u4f46\u662f\uff0c\u91cf\u5b50\u7cfb\u7edf\u7684\u5b66\u4e60\u4e0d\u4f1a\u6210\u529f\u3002\u5982\u679c\u771f\u7684\u662f\u8fd9\u6837\uff0c\u90a3\u4e48\uff0c\u5c31\u8868\u793a\uff0c\u57fa\u4e8e\u7ecf\u5178\u6a21\u578b\u7684\u5b66\u4e60\u673a\u4e0d\u80fd\u5b66\u5230\u91cf\u5b50\u529b\u5b66\u3002<\/p>\n<p>\u5982\u679c\u8fd8\u80fd\u591f\u7ed9\u51fa\u6765\u4e00\u4e2a\u91cf\u5b50\u5b66\u4e60\u673a\u7684\u6846\u67b6\uff0c\u5e76\u4e14\u5b66\u4e60\u6210\u529f\uff0c\u90a3\u4e48\uff0c\u5c31\u4ece\u4e00\u4e2a\u5168\u65b0\u7684\u89d2\u5ea6\u2014\u2014\u8ba9\u5168\u80fd\u7684\u7ecf\u5178\u5b66\u4e60\u673a\u53bb\u8bd5\u8bd5\u2014\u2014\u57fa\u672c\u56de\u7b54\u4e86\u91cf\u5b50\u9690\u53d8\u91cf\u7406\u8bba\u7684\u95ee\u9898\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7ecf\u5178\u548c\u91cf\u5b50\u7cfb\u7edf\u7684\u884c\u4e3a\u548c\u7406\u8bba\u6709\u5f88\u5927\u7684\u533a\u522b\u3002\u4e00\u822c\u8ba4\u4e3a\u7ecf\u5178\u7684\u6570\u5b66\u6a21\u578b\uff08\u6b27\u5f0f\u7a7a\u95f4\u77e2\u91cf\u3001\u6982\u7387\u5206\u5e03\uff09\u662f\u4e0d\u80fd\u63cf\u8ff0\u91cf\u5b50\u7cfb\u7edf\u7684\u3002 &hellip; <a href=\"https:\/\/www.systemsci.org\/jinshanw\/2016\/07\/10\/can-machine-learn-quantum-mechanics\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u673a\u5668\u5b66\u4e60\u80fd\u591f\u5b66\u4f1a\u91cf\u5b50\u529b\u5b66\u5417\uff1f\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[11],"tags":[150,103,152,219],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1941"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=1941"}],"version-history":[{"count":72,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1941\/revisions"}],"predecessor-version":[{"id":2438,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/1941\/revisions\/2438"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=1941"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=1941"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=1941"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}