{"id":4449,"date":"2024-08-26T13:14:24","date_gmt":"2024-08-26T05:14:24","guid":{"rendered":"https:\/\/nullthought.net\/?p=4449"},"modified":"2025-01-05T18:15:14","modified_gmt":"2025-01-05T10:15:14","slug":"%e9%87%8f%e5%ad%90%e7%a5%9e%e7%bb%8f%e7%bd%91%e7%bb%9c%ef%bc%88qnn%ef%bc%89%e6%8d%9f%e5%a4%b1%e6%99%af%e8%a7%82%e7%9a%84%e7%bb%9f%e4%b8%80%e7%90%86%e8%ae%ba","status":"publish","type":"post","link":"https:\/\/nullthought.net\/?p=4449","title":{"rendered":"\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNN\uff09\u635f\u5931\u666f\u89c2\u7684\u7edf\u4e00\u7406\u8bba"},"content":{"rendered":"\n<p>\u8bba\u6587\u300a\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u635f\u5931\u666f\u89c2\u7684\u7edf\u4e00\u7406\u8bba\u300b\uff08<strong><a href=\"https:\/\/arxiv.org\/abs\/2408.11901\" target=\"_blank\" rel=\"noreferrer noopener\">A Unified Theory of Quantum Neural Network Loss Landscapes<\/a><\/strong>\uff09\u7684\u8bba\u6587\u63d0\u51fa\u4e86\u4e00\u4e2a\u7efc\u5408\u6027\u7406\u8bba\uff0c\u6269\u5c55\u4e86\u5bf9\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNNs\uff09\u635f\u5931\u666f\u89c2\u7684\u7406\u89e3\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u4f5c\u8005\u4e3a\u6765\u81eaCaltech\u7684<a href=\"https:\/\/arxiv.org\/search\/quant-ph?searchtype=author&amp;query=Anschuetz,+E+R\" target=\"_blank\" rel=\"noreferrer noopener\">Eric R. Anschuetz<\/a>\u3002<\/p>\n\n\n\n<p>\u8bba\u6587\u6982\u8981\u5185\u5bb9\u5982\u4e0b\uff1a<\/p>\n\n\n\n<h5 class=\"wp-block-heading\">1. <strong>\u5f15\u8a00\u4e0e\u52a8\u673a<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u7684\u80cc\u666f<\/strong>\uff1a\u8bba\u6587\u5f00\u59cb\u6bd4\u8f83\u4e86\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\uff08NN\uff09\u53ca\u5176\u8bad\u7ec3\u884c\u4e3a\u4e0e\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u5f02\u540c\u3002\u5728\u968f\u673a\u521d\u59cb\u5316\u7684\u6761\u4ef6\u4e0b\uff0c\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u8868\u73b0\u4e3a\u9ad8\u65af\u8fc7\u7a0b\uff0c\u8fd9\u4f7f\u5f97\u5b83\u4eec\u53ef\u4ee5\u901a\u8fc7\u68af\u5ea6\u4e0b\u964d\u8fdb\u884c\u8bad\u7ec3\u3002\u8fd9\u79cd\u7406\u89e3\u6e90\u4e8e\u795e\u7ecf\u5207\u7ebf\u6838\uff08NTK\uff09\u8fd9\u4e00\u6982\u5ff5\uff0c\u5b83\u5c06\u7f51\u7edc\u67b6\u6784\u4e0e\u8bad\u7ec3\u8fc7\u7a0b\u8054\u7cfb\u8d77\u6765\u3002<\/li>\n\n\n\n<li><strong>\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08QNNs\uff09\u7684\u6311\u6218<\/strong>\uff1a\u4e0e\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u4e0d\u540c\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u901a\u5e38\u4e0d\u4f1a\u5728\u968f\u673a\u521d\u59cb\u5316\u65f6\u8868\u73b0\u4e3a\u9ad8\u65af\u8fc7\u7a0b\u3002\u76f8\u53cd\uff0c\u5b83\u4eec\u8868\u73b0\u51fa\u590d\u6742\u7684\u884c\u4e3a\uff0c\u5982\u201c\u8d2b\u7620\u9ad8\u539f\u201d\uff08barren plateaus\uff09\uff0c\u5373\u68af\u5ea6\u968f\u7740\u7cfb\u7edf\u5927\u5c0f\u7684\u589e\u52a0\u5448\u6307\u6570\u4e0b\u964d\uff0c\u4ece\u800c\u4f7f\u8bad\u7ec3\u53d8\u5f97\u6781\u4e3a\u56f0\u96be\u3002<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">2. <strong>\u4e3b\u8981\u8d21\u732e<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>QNN\u7684Wishart\u8fc7\u7a0b<\/strong>\uff1a\u4f5c\u8005\u5f15\u5165\u4e86Wishart\u8fc7\u7a0b\u8fd9\u4e00\u6982\u5ff5\uff0c\u5b83\u53d6\u4ee3\u4e86\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u9ad8\u65af\u8fc7\u7a0b\u3002\u4f5c\u8005\u8bc1\u660e\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u53ca\u5176\u524d\u4e24\u9636\u5bfc\u6570\u4e00\u822c\u5f62\u6210Wishart\u8fc7\u7a0b\uff0c\u5176\u4e2d\u7f51\u7edc\u7684\u67d0\u4e9b\u4ee3\u6570\u6027\u8d28\u51b3\u5b9a\u4e86\u8fd9\u4e9b\u8fc7\u7a0b\u7684\u8d85\u53c2\u6570\u3002<\/li>\n\n\n\n<li><strong>\u9ad8\u65af\u8fc7\u7a0b\u6781\u9650\u7684\u6761\u4ef6<\/strong>\uff1a\u8bba\u6587\u63d0\u4f9b\u4e86\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u67b6\u6784\u8fbe\u5230\u7c7b\u4f3c\u7ecf\u5178\u795e\u7ecf\u7f51\u7edc\u7684\u9ad8\u65af\u8fc7\u7a0b\u6781\u9650\u7684\u5fc5\u8981\u548c\u5145\u5206\u6761\u4ef6\u3002<\/li>\n\n\n\n<li><strong>\u7edf\u4e00\u7684\u8d2b\u7620\u9ad8\u539f\u7ed3\u679c<\/strong>\uff1a\u901a\u8fc7\u4f7f\u7528Wishart\u8fc7\u7a0b\u6846\u67b6\uff0c\u4f5c\u8005\u7edf\u4e00\u4e86\u5173\u4e8e\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u4e2d\u8d2b\u7620\u9ad8\u539f\u73b0\u8c61\u7684\u5404\u79cd\u5df2\u77e5\u7ed3\u679c\uff0c\u5e76\u8ba1\u7b97\u4e86\u5b8c\u6574\u7684\u68af\u5ea6\u5206\u5e03\u3002<\/li>\n\n\n\n<li><strong>\u5c40\u90e8\u6781\u5c0f\u503c\u5206\u5e03<\/strong>\uff1a\u8bba\u6587\u8fd8\u8ba8\u8bba\u4e86\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u635f\u5931\u666f\u89c2\u4e2d\u7684\u5c40\u90e8\u6781\u5c0f\u503c\u5206\u5e03\uff0c\u5e76\u5c55\u793a\u4e86\u8fd9\u4e9b\u5206\u5e03\u5982\u4f55\u6839\u636e\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u4ee3\u6570\u7ed3\u6784\u800c\u53d8\u5316\u3002<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">3. <strong>\u7406\u8bba\u6846\u67b6<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Jordan\u4ee3\u6570<\/strong>\uff1a\u8be5\u7406\u8bba\u4e3b\u8981\u4f9d\u8d56\u4e8eJordan\u4ee3\u6570\u7684\u6570\u5b66\u7ed3\u6784\uff0c\u8fd9\u4e9b\u4ee3\u6570\u7528\u4e8e\u63cf\u8ff0\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u4ee3\u6570\u7ed3\u6784\u3002\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u635f\u5931\u666f\u89c2\u4e0e\u8fd9\u4e9b\u4ee3\u6570\u76f8\u5173\u8054\uff0c\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u884c\u4e3a\u88ab\u63cf\u8ff0\u4e3aJordan\u4ee3\u6570Wishart\u7cfb\u7edf\uff08JAWS\uff09\u3002<\/li>\n\n\n\n<li><strong>\u53d8\u5206\u635f\u5931\u666f\u89c2<\/strong>\uff1a\u8bba\u6587\u5c06\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u635f\u5931\u51fd\u6570\u91cd\u65b0\u8868\u8ff0\u4e3a\u8fd9\u4e9bJordan\u4ee3\u6570\u7684\u5f62\u5f0f\uff0c\u4ece\u800c\u5f97\u51fa\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u635f\u5931\u51fd\u6570\u53ef\u4ee5\u8868\u793a\u4e3a\u4e00\u7ec4Wishart\u8fc7\u7a0b\u7684\u7b80\u5355\u5206\u91cf\u7684\u603b\u548c\u3002<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">4. <strong>\u4e3b\u8981\u7ed3\u679c<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u635f\u5931\u51fd\u6570\u5206\u5e03<\/strong>\uff1a\u4f5c\u8005\u63a8\u5bfc\u4e86\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u4e2d\u635f\u5931\u51fd\u6570\u7684\u6e10\u8fd1\u8868\u8fbe\u5f0f\uff0c\u8868\u660e\u5b83\u6536\u655b\u4e8e\u7531Wishart\u77e9\u9635\u63a7\u5236\u7684\u5206\u5e03\u3002<\/li>\n\n\n\n<li><strong>\u68af\u5ea6\u5206\u5e03<\/strong>\uff1a\u8bba\u6587\u8fd8\u5206\u6790\u4e86\u635f\u5931\u51fd\u6570\u7684\u68af\u5ea6\uff0c\u5e76\u8868\u660e\u68af\u5ea6\u7684\u5206\u5e03\u9075\u5faa\u7531\u5e95\u5c42\u4ee3\u6570\u7ed3\u6784\u51b3\u5b9a\u7684\u7279\u5b9a\u5f62\u5f0f\u3002<\/li>\n\n\n\n<li><strong>\u53ef\u8bad\u7ec3\u6027\u7684\u6761\u4ef6<\/strong>\uff1a\u8bba\u6587\u63d0\u51fa\u4e86\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u88ab\u8ba4\u4e3a\u662f\u53ef\u8bad\u7ec3\u7684\u5f62\u5f0f\u6761\u4ef6\uff0c\u8fd9\u4e9b\u6761\u4ef6\u57fa\u4e8e\u8d2b\u7620\u9ad8\u539f\u548c\u5c40\u90e8\u6781\u5c0f\u503c\u7684\u4e0d\u5b58\u5728\u3002\u8fd9\u4e9b\u6761\u4ef6\u4e0e\u7f51\u7edc\u67b6\u6784\u7684\u81ea\u7531\u5ea6\u6709\u5173\u3002<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">5. <strong>\u5f71\u54cd\u4e0e\u8ba8\u8bba<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u53ef\u8bad\u7ec3\u6027<\/strong>\uff1a\u8be5\u7406\u8bba\u8868\u660e\uff0c\u901a\u7528\u7684\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u5728\u8bad\u7ec3\u4e2d\u53ef\u80fd\u4f1a\u9047\u5230\u4e25\u91cd\u7684\u56f0\u96be\uff0c\u539f\u56e0\u5728\u4e8e\u8d2b\u7620\u9ad8\u539f\u548c\u5c40\u90e8\u6781\u5c0f\u503c\u7684\u5b58\u5728\u3002\u7136\u800c\uff0c\u67d0\u4e9b\u7ed3\u6784\u5316\u7684\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\uff08\u4f8b\u5982\uff0c\u5177\u6709Lie\u4ee3\u6570\u652f\u6301\u7684ansatzes\uff09\u53ef\u80fd\u4f1a\u907f\u514d\u8fd9\u4e9b\u95ee\u9898\u3002<\/li>\n\n\n\n<li><strong>\u672a\u6765\u7814\u7a76\u65b9\u5411<\/strong>\uff1a\u4f5c\u8005\u6307\u51fa\u4e86\u4e00\u4e9b\u5f00\u653e\u95ee\u9898\uff0c\u4f8b\u5982\u566a\u58f0\u5728\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u4e2d\u7684\u4f5c\u7528\uff0c\u4ee5\u53ca\u5728\u7279\u5b9a\u673a\u5668\u5b66\u4e60\u4efb\u52a1\u4e2d\u5b9e\u73b0\u91cf\u5b50\u4f18\u52bf\u7684\u53ef\u80fd\u6027\u3002<\/li>\n<\/ul>\n\n\n\n<h5 class=\"wp-block-heading\">6. <strong>\u7ed3\u8bba<\/strong><\/h5>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8bba\u6587\u63d0\u4f9b\u4e86\u4e00\u4e2a\u7edf\u4e00\u7684\u7406\u8bba\u6846\u67b6\uff0c\u7528\u4e8e\u7406\u89e3\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u635f\u5931\u666f\u89c2\uff0c\u5f25\u5408\u4e86\u7ecf\u5178\u4e0e\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7406\u8bba\u4e4b\u95f4\u7684\u5dee\u8ddd\u3002\u5b83\u4e3a\u5206\u6790\u548c\u9884\u6d4b\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u7684\u53ef\u8bad\u7ec3\u6027\u63d0\u4f9b\u4e86\u5de5\u5177\uff0c\u5e76\u5bf9\u91cf\u5b50\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u7684\u8bbe\u8ba1\u548c\u5e94\u7528\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u8bba\u6587\u300a\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u635f\u5931\u666f\u89c2\u7684\u7edf\u4e00\u7406\u8bba\u300b\uff08A Unified Theory of Quantum Neural  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[36],"tags":[39,71,93],"class_list":["post-4449","post","type-post","status-publish","format-standard","hentry","category-36","tag-ai","tag-physics","tag-quantum-computing"],"rttpg_featured_image_url":null,"rttpg_author":{"display_name":"NullThought","author_link":"https:\/\/nullthought.net\/?author=1"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/nullthought.net\/?cat=36\" rel=\"category\">\u79d1\u5b66<\/a>","rttpg_excerpt":"\u8bba\u6587\u300a\u91cf\u5b50\u795e\u7ecf\u7f51\u7edc\u635f\u5931\u666f\u89c2\u7684\u7edf\u4e00\u7406\u8bba\u300b\uff08A Unified Theory of Quantum Neural &hellip;","_links":{"self":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts\/4449","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4449"}],"version-history":[{"count":1,"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts\/4449\/revisions"}],"predecessor-version":[{"id":4450,"href":"https:\/\/nullthought.net\/index.php?rest_route=\/wp\/v2\/posts\/4449\/revisions\/4450"}],"wp:attachment":[{"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4449"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4449"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nullthought.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}