{"id":7488,"date":"2025-03-25T17:18:47","date_gmt":"2025-03-25T08:18:47","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=7488"},"modified":"2025-10-06T18:13:56","modified_gmt":"2025-10-06T09:13:56","slug":"%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/","title":{"rendered":"\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6027\u80fd\u3092\u9ad8\u3081\u308b\u5909\u5206\u91cf\u5b50\u56de\u8def"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_83 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\" >\u6587\u732e\u60c5\u5831<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E5%AE%9F%E9%A8%93%E6%89%8B%E6%B3%95\" >\u5b9f\u9a13\u624b\u6cd5<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E2%91%A0%E3%82%A8%E3%83%B3%E3%82%B3%E3%83%BC%E3%83%87%E3%82%A3%E3%83%B3%E3%82%B0\" >\u2460\u30a8\u30f3\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E2%91%A1%E5%A4%89%E6%95%B0%E3%81%AE%E9%80%B2%E5%8C%96\" >\u2461\u5909\u6570\u306e\u9032\u5316<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E2%91%A2%E8%A8%88%E6%B8%AC%E3%81%A8%E6%9B%B4%E6%96%B0\" >\u2462\u8a08\u6e2c\u3068\u66f4\u65b0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E2%91%A3%E7%94%9F%E6%88%90%E5%99%A8%E3%81%AE%E5%AD%A6%E7%BF%92\" >\u2463\u751f\u6210\u5668\u306e\u5b66\u7fd2<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E5%AE%9F%E9%A8%93%E7%B5%90%E6%9E%9C\" >\u5b9f\u9a13\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#Appendix\" >Appendix<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#Appendix1_GAN%E3%81%AE%E4%BB%95%E7%B5%84%E3%81%BF\" >Appendix.1 GAN\u306e\u4ed5\u7d44\u307f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#Appendix2_FID%E5%80%A4\" >Appendix.2 FID\u5024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#Appendix3_%E9%87%8F%E5%AD%90%E3%82%B2%E3%83%BC%E3%83%88\" >Appendix.3 \u91cf\u5b50\u30b2\u30fc\u30c8<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\" >\u53c2\u8003\u6587\u732e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/%e6%95%b5%e5%af%be%e7%9a%84%e7%94%9f%e6%88%90%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%81%ae%e6%80%a7%e8%83%bd%e3%82%92%e9%ab%98%e3%82%81%e3%82%8b%e5%a4%89%e5%88%86%e9%87%8f%e5%ad%90\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E6%8B%85%E5%BD%93%E8%80%85\" >\u672c\u8a18\u4e8b\u306e\u62c5\u5f53\u8005<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span>\u6587\u732e\u60c5\u5831<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u30bf\u30a4\u30c8\u30eb : Variational Quantum Circuits Enhanced Generative Adversarial Network<\/li>\n<li>\u8457\u8005 : Runqiu Shu, Xusheng Xu, Man-Hong Yung and Wei Cui<\/li>\n<li>\u66f8\u7c4d\u60c5\u5831 : https:\/\/arxiv.org\/pdf\/2402.01791<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af(GAN:Generative Adversarial Network)\u306f\u3001\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u6df1\u5c64\u5b66\u7fd2(Deep Learning)\u306e\u4e00\u3064\u3067\u3001\u751f\u6210\u5668(Generator)\u3068\u8b58\u5225\u5668(Discriminator)\u304b\u3089\u69cb\u6210\u3055\u308c\u308b\u3002\u751f\u6210\u5668\u306f\u507d\u7269\u306e\u753b\u50cf\u3092\u4f5c\u308a\u3001\u8b58\u5225\u5668\u306f\u305d\u306e\u753b\u50cf\u304c\u672c\u7269\u304b\u507d\u7269\u304b\u3092\u5224\u5b9a\u3059\u308b\u5f79\u5272\u304c\u3042\u308a\u3001\u3053\u306e\u4e8c\u3064\u3092\u7af6\u308f\u305b\u308b\u3088\u3046\u306b\u5b66\u7fd2\u3059\u308b\u3053\u3068\u3067\u3001\u751f\u6210\u5668\u304b\u3089\u672c\u7269\u306e\u3088\u3046\u306a\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b\u3002GAN\u306e\u8ab2\u984c\u3068\u3057\u3066\u3001\u751f\u6210\u5668\u306e\u8868\u73fe\u529b\u304c\u9ad8\u3044\u753b\u50cf\u3092\u751f\u6210\u3057\u3088\u3046\u3068\u3059\u308b\u3068\u3001\u751f\u6210\u5668\u3068\u8b58\u5225\u5668\u3092\u69cb\u6210\u3059\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30d1\u30e9\u30e1\u30fc\u30bf(\u30d0\u30a4\u30a2\u30b9, \u91cd\u307f)\u306e\u6570\u304c\u591a\u304f\u306a\u308a\u3001\u305d\u306e\u7d50\u679c\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u5b66\u7fd2\u56de\u6570\u304c\u5897\u3048\u3066\u3057\u307e\u3046\u3053\u3068\u304c\u3042\u3052\u3089\u308c\u308b\u3002\u305d\u3053\u3067\u89e3\u6c7a\u65b9\u6cd5\u3068\u3057\u3066\u8ad6\u6587\u3067\u306f\u3001\u65b0\u305f\u306bQCGAN\u3068\u547c\u3070\u308c\u308b\u3001\u751f\u6210\u5668\u306e\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u4e00\u90e8\u3092\u56de\u8ee2\u89d2$\\theta$\u3092\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u6301\u3064\u5909\u5206\u91cf\u5b50\u56de\u8def\u306b\u5909\u3048\u305f\u3082\u306e\u3092\u7d39\u4ecb\u3057\u3066\u3044\u308b\u3002\u30d1\u30e9\u30e1\u30fc\u30bf$\\theta$\u306e\u5909\u5206\u91cf\u5b50\u56de\u8def\u3092\u5897\u3084\u3059\u3053\u3068\u3067\u3001\u5c11\u306a\u3044\u91cf\u5b50\u30d3\u30c3\u30c8\u3067\u3082\u91cf\u5b50\u72b6\u614b\u306e\u8868\u73fe\u529b\u3092\u9ad8\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u305d\u306e\u7d50\u679c\u3001\u624b\u66f8\u304d\u753b\u50cf\u751f\u6210\u306b\u304a\u3044\u3066\u3001\u5c11\u306a\u3044\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u5b66\u7fd2\u56de\u6570\u3067\u3001\u7cbe\u5ea6\u306e\u826f\u3044\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u78ba\u304b\u3081\u3089\u308c\u305f\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-28-249x300.png\" alt=\"\" width=\"382\" height=\"460\" class=\"alignnone wp-image-7542\" \/><br \/>\n\u56f31\u3000QCGAN\u306b\u3088\u308b\u624b\u66f8\u304d\u6587\u5b57\u306e\u751f\u6210\u753b\u50cf<\/p>\n<p>\u56f31\u306fQCGAN\u306b\u5165\u529b\u30ce\u30a4\u30ba(input noise)\u3092\u5165\u529b\u3057\u3066\u3001\u5b66\u7fd250\u56de\u76ee(50 iterations)\u3068\u5b66\u7fd2200\u56de\u76ee(200 iterations)\u306e\u624b\u66f8\u304d\u6587\u5b57\u306e\u751f\u6210\u753b\u50cf(\u30b5\u30a4\u30ba28\u00d728\u3001784\u30d4\u30af\u30bb\u30eb)\u3092\u8868\u3059\u3002\u5b66\u7fd2\u56de\u6570\u304c\u5897\u3048\u308b\u3068\u624b\u66f8\u304d\u6570\u5b57\u304c\u9bae\u660e\u306b\u306a\u3063\u3066\u3044\u304f\u69d8\u5b50\u304c\u78ba\u8a8d\u3067\u304d\u308b\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93%E6%89%8B%E6%B3%95\"><\/span>\u5b9f\u9a13\u624b\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ad6\u6587\u3067\u306f\u3001\u65b0\u305f\u306bQCGAN(Quantum-classical GAN)\u3068\u3044\u3046\u3082\u306e\u3092\u5c0e\u5165\u3057\u3066\u3044\u308b\u3002QCGAN\u306f\u3001GAN\u3068\u540c\u69d8\u306b\u751f\u6210\u5668\u3068\u8b58\u5225\u5668\u304b\u3089\u69cb\u6210\u3055\u308c\u3001\u7570\u306a\u308b\u70b9\u306fQuantum Generator(\u4ee5\u4e0b\u3001\u91cf\u5b50\u751f\u6210\u5668\u3068\u3059\u308b)\u304c\u91cf\u5b50\u30d3\u30c3\u30c8\u304b\u3089\u6210\u308b\u5909\u5206\u91cf\u5b50\u56de\u8def\u3068\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c8\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u70b9\u3067\u3042\u308b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/1dda6b56ba74529f3e2da710676c9605-300x202.png\" alt=\"\" width=\"572\" height=\"385\" class=\"wp-image-7516 alignnone\" \/><br \/>\n\u56f32\u3000\u53e4\u5178\u7684\u306aGAN\u3068QCGAN\u306e\u69cb\u9020<\/p>\n<p>QCGAN\u306e\u4ed5\u7d44\u307f\u306fGAN\u3068\u307b\u307c\u540c\u3058\u306a\u306e\u3067\u3001\u8a73\u3057\u3044\u4ed5\u7d44\u307f\u306f\u3001Appendix\u3092\u53c2\u7167\u3057\u3066\u3082\u3089\u3044\u305f\u3044(Appendix.1)\u3002\u3053\u3053\u3067\u306f\u3001\u751f\u6210\u5668\u306e\u4e2d\u8eab\u3092\u8aac\u660e\u3059\u308b\u3002\u751f\u6210\u5668\u3067\u884c\u308f\u308c\u3066\u3044\u308b\u3053\u3068\u306f\u3001\u4ee5\u4e0b\u306e\u2460\u304b\u3089\u2463\u306e\u904e\u7a0b\u304b\u3089\u6210\u308b\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E2%91%A0%E3%82%A8%E3%83%B3%E3%82%B3%E3%83%BC%E3%83%87%E3%82%A3%E3%83%B3%E3%82%B0\"><\/span>\u2460\u30a8\u30f3\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/7a156da1199d4fb36bb6eb9fa7fa5c9b-300x182.png\" alt=\"\" width=\"574\" height=\"348\" class=\"alignnone wp-image-7515\" \/><br \/>\n\u56f33\u3000QCGAN\u306e\u751f\u6210\u5668\u306e\u69cb\u9020<\/p>\n<p>1. \u6f5c\u5728\u5909\u6570$z$\u306e\u8981\u7d20\u6570\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7528\u610f\u3059\u308b\u3002<br \/>\n2. \u6f5c\u5728\u5909\u6570$z$\u306e\u8981\u7d20\u306e\u5024\u3092\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u56de\u8ee2\u89d2\u306b\u5bfe\u5fdc\u3055\u305b\u308b\u3002<br \/>\n3. \u521d\u671f\u72b6\u614b$\\ket{0}$\u306e\u57fa\u5e95\u72b6\u614b\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306by\u8ef8\u3092\u8ef8\u3068\u3057\u3066\u89d2\u5ea6$z_i$\u56de\u8ee2\u3055\u305b\u308b\u6f14\u7b97\u5b50$R_y(z_i)$\u3092\u4f5c\u7528\u3055\u305b\u308b(Appendix.3)\u3002<br \/>\n$$\\begin{align*}<br \/>\n\\ket{\\psi_z} = \\overset{N}{\\underset{i=1}\\otimes} R_{y}(z_{i}) \\ket{0}<br \/>\n\\end{align*}<br \/>\n$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E2%91%A1%E5%A4%89%E6%95%B0%E3%81%AE%E9%80%B2%E5%8C%96\"><\/span>\u2461\u5909\u6570\u306e\u9032\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/7224a2a277e4493c44939c656bc5f204-300x184.png\" alt=\"\" width=\"574\" height=\"352\" class=\"alignnone wp-image-7520\" \/><br \/>\n\u56f34\u3000QCGAN\u306e\u751f\u6210\u5668\u3092\u69cb\u6210\u3059\u308b\u5909\u5206\u91cf\u5b50\u56de\u8def\u306e\u69cb\u6210<\/p>\n<p>\u6b21\u306b\u3001Encoding\u3055\u308c\u305f\u91cf\u5b50\u30d3\u30c3\u30c8\u306b\u56de\u8defU\u3092M\u56de\u4f5c\u7528\u3055\u305b\u308b\u3002U\u306fX\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u3068Z\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u3067\u69cb\u6210\u3055\u308c\u3066\u304a\u308a\u3001\u3044\u305a\u308c\u306e\u56de\u8ee2\u30b2\u30fc\u30c8\u3082\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u5411\u304d\u3092$\\theta$\u56de\u8ee2\u3055\u305b\u308b\u3002CNOT\u30b2\u30fc\u30c8\u306f2\u5165\u529b\u91cf\u5b50\u30d3\u30c3\u30c8\u3067\u3001\u91cf\u5b50\u72b6\u614b\u306e\u6570\u3092\u5897\u3084\u3059\u5f79\u5272\u304c\u3042\u308b(Appendix.3)\u3002 $V(\\theta)$\u306fU\u304cM\u500b\u304b\u3089\u6210\u308b\u56de\u8def\u3067\u3001\u2460, \u2461\u306e\u64cd\u4f5c\u3092\u5f0f\u306b\u307e\u3068\u3081\u308b\u3068\u4ee5\u4e0b\u306e\u5f0f\u306b\u306a\u308b\u3002<br \/>\n$$\\begin{align*}<br \/>\n\\ket{\\psi_z, \\theta} = V(\\theta)\\ket{\\psi_{z}} = V(\\theta) \\overset{N}{\\underset{i=1}\\otimes} R_{y}(z_{i}) \\ket{0}<br \/>\n\\end{align*}$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E2%91%A2%E8%A8%88%E6%B8%AC%E3%81%A8%E6%9B%B4%E6%96%B0\"><\/span>\u2462\u8a08\u6e2c\u3068\u66f4\u65b0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u3053\u306e\u64cd\u4f5c\u3067\u306f\u3001\u59cb\u3081\u306b\u53cd\u5fdc\u5f8c\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u8a08\u6e2c\u3059\u308b\u3002\u3053\u306e\u6642\u3001\u8a08\u6e2c\u5f8c\u306e\u5024\u306e\u6570\u306f\u3001\u6f5c\u5728\u5909\u6570$z$\u306e\u8981\u7d20\u6570\u3068\u4e00\u81f4\u3059\u308b\u3002\u306a\u305c\u306a\u3089\u3001\u6f5c\u5728\u5909\u6570\u306b\u5bfe\u5fdc\u3059\u308b\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u6570\u306f\u4e0d\u5909\u3060\u304b\u3089\u3067\u3042\u308b\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u3067\u306f768\u30d4\u30af\u30bb\u30eb\u306e\u753b\u50cf\u3092\u51fa\u529b\u3067\u304d\u306a\u3044\u306e\u3067\u3001\u6b21\u306b\u8a08\u6e2c\u5024\u3092\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306b\u5165\u529b\u3057\u3001\u751f\u6210\u753b\u50cf\u3092\u51fa\u529b\u3055\u305b\u308b\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E2%91%A3%E7%94%9F%E6%88%90%E5%99%A8%E3%81%AE%E5%AD%A6%E7%BF%92\"><\/span>\u2463\u751f\u6210\u5668\u306e\u5b66\u7fd2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>QCGAN\u306e\u5b66\u7fd2\u65b9\u6cd5\u306f\u3001GAN\u3068\u540c\u69d8\u306b\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5(BP:Back-Propagation)\u3067\u5b66\u7fd2\u53ef\u80fd\u3067\u3042\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30d1\u30e9\u30e1\u30fc\u30bf(\u30d0\u30a4\u30a2\u30b9\u3001\u91cd\u307f)\u3068\u5909\u5206\u91cf\u5b50\u56de\u8def\u306e\u30d1\u30e9\u30e1\u30fc\u30bf$\\theta_i (i = 1, 2, \\ldots , M)$\u3092\u66f4\u65b0\u3059\u308b\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-5-300x182.png\" alt=\"\" width=\"572\" height=\"347\" class=\"alignnone wp-image-7521\" \/><br \/>\n\u56f35\u3000\u5909\u5206\u91cf\u5b50\u56de\u8def\u306e\u5b66\u7fd2\u65b9\u6cd5<\/p>\n<p>\u4ee5\u4e0a\u2460\uff5e\u2463\u306e\u904e\u7a0b\u3092MindSpore Quantum\u3068\u547c\u3070\u308c\u308b\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u3067\u5b9f\u88c5\u3057[1]\u3001MNIST\u306e\u624b\u66f8\u304d\u6587\u5b57\u753b\u50cf\u3092\u4f7f\u3063\u3066QCGAN\u3092\u8a55\u4fa1\u3059\u308b\u3002\u8a55\u4fa1\u306b\u306f\u3001Fr\u00e9chet Inception Distance*(FID)\u3092\u4f7f\u3063\u305f\u3002(Appendix.2)<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93%E7%B5%90%E6%9E%9C\"><\/span>\u5b9f\u9a13\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u88681\u3000QCGAN\u3068\u305d\u306e\u4ed6\u306e\u53e4\u5178\u7684\u306aGAN\u306e\u751f\u6210\u5668\u306b\u304a\u3051\u308b\u5c64\u306e\u69cb\u9020\u3068\u30d1\u30e9\u30e1\u30fc\u30bf\u6570<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-6sub-300x275.png\" alt=\"\" width=\"570\" height=\"523\" class=\"alignnone wp-image-7522\" \/><\/p>\n<p>\u3053\u306e\u8868\u306f\u3001\u5b9f\u9a13\u3067\u7528\u3044\u305f\u69d8\u3005\u306a\u7a2e\u985e\u306eGAN\u306e\u5c64(Layer)\u306e\u6570\u3068\u30d1\u30e9\u30e1\u30fc\u30bf(Parameters)\u306e\u6570\u3092\u8868\u3057\u3066\u3044\u308b\u3002QCGAN\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u304c\u4ed6\u3088\u308a\u5c11\u306a\u3044\u3053\u3068\u306b\u6ce8\u76ee\u3057\u3066\u307b\u3057\u3044\u3002\u7279\u306b\u3001QuantumLayer\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u304c60\u3067\u5c11\u306a\u3044\u306e\u304c\u9855\u8457\u3067\u3042\u308b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-29-300x160.png\" alt=\"\" width=\"531\" height=\"283\" class=\"alignnone wp-image-7547\" \/><br \/>\n\u56f36\u3000QCGAN\u3068\u305d\u306e\u4ed6\u306e\u53e4\u5178\u7684\u306aGAN\u306b\u304a\u3051\u308b\u5b66\u7fd2\u56de\u6570\u306b\u5bfe\u3059\u308bFID\u5024\u306e\u5909\u5316<\/p>\n<p>\u56f36\u306e\u30b0\u30e9\u30d5\u306f\u3001\u6a2a\u8ef8\u3092\u5b66\u7fd2\u56de\u6570(Iterations)\u3001\u7e26\u8ef8\u3092FID\u5024\u306b\u3057\u305f\u3068\u304d\u306e\u305d\u308c\u305e\u308c\u306eGAN\u306e\u632f\u821e\u3044\u3092\u8868\u3059\u3002FID\u306f\u753b\u50cf\u306e\u985e\u4f3c\u5ea6\u3092\u8868\u3059\u6307\u6a19\u3067\u3042\u308b(Appendix.2)\u3002\u8d64\u7dda\u306eQCGAN\u3068\u7dd1\u7dda\u306e\u6df1\u5c64\u7573\u307f\u8fbc\u307f\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af(DCGAN:Deep Convolutional GAN)\u304c\u3059\u3050\u306bFID\u5024\u304c\u5c0f\u3055\u304f\u306a\u3063\u3066\u3044\u308b\u3068\u308f\u304b\u308b\u3002\u3064\u307e\u308a\u3001\u5c11\u306a\u3044\u5b66\u7fd2\u56de\u6570\u3067\u672c\u7269\u305d\u3063\u304f\u308a\u306a\u753b\u50cf\u3092\u751f\u6210\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3059\u3002\u307e\u305f\u3001\u88681\u3088\u308aQCGAN\u3068DCGAN\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u6570\u3092\u6bd4\u3079\u308b\u3068\u3001QCGAN\u306e\u65b9\u304c\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u304c\u5c0f\u3055\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u3064\u307e\u308a\u3001QCGAN\u306f\u5b66\u7fd2\u6642\u9593\u3092\u5c0f\u3055\u304f\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3002\u3055\u3089\u306b\u3001\u8ad6\u6587\u3067\u306f\u3001\u751f\u6210\u5668\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u6570\u304c768\u306e\u3068\u304d\u3001QCGAN\u306e\u6f5c\u5728\u5909\u6570\u306f100\u3067GAN2\u306e\u6f5c\u5728\u5909\u6570\u306f5\u3067\u3042\u3063\u305f\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u305f\u3002\u4e00\u822c\u7684\u306b\u3001\u6f5c\u5728\u5909\u6570\u304c\u5927\u304d\u304f\u306a\u308b\u3068\u3001\u7279\u5fb4\u91cf\u304c\u5897\u3048\u3066\u591a\u69d8\u306a\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u306b\u3064\u306a\u304c\u308b\u3002QCGAN\u306b\u306f\u305d\u306e\u3088\u3046\u306a\u6027\u80fd\u3082\u3042\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001GAN\u306e\u751f\u6210\u5668\u3092\u91cf\u5b50\u30d3\u30c3\u30c8\u3068\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c8\u3067\u69cb\u6210\u3055\u308c\u308b\u5909\u5206\u91cf\u5b50\u56de\u8def\u306b\u5909\u3048\u305fQCGAN\u3092\u7528\u3044\u3066\u624b\u66f8\u304d\u753b\u50cf\u3092\u751f\u6210\u3057\u3001\u5f93\u6765\u304b\u3089\u3042\u308b\u6570\u3005\u306eGAN\u3068\u4f34\u306b\u3001FID\u5024\u3067\u753b\u50cf\u306e\u6027\u80fd\u3068\u5b66\u7fd2\u56de\u6570\u3092\u6bd4\u8f03\u3057\u305f\u3002\u305d\u306e\u7d50\u679c\u3001QCGAN\u306f\u4ed6\u306e\u7a2e\u985e\u306eGAN\u3088\u308a\u3082\u5c11\u306a\u3044\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u5b66\u7fd2\u56de\u6570\u3067\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3042\u308b\u3068\u308f\u304b\u3063\u305f\u3002\u3053\u306e\u3053\u3068\u304b\u3089\u3001\u5909\u5206\u91cf\u5b50\u56de\u8def\u3092\u7528\u3044\u305f\u753b\u50cf\u751f\u6210\u30e2\u30c7\u30eb\u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u3092\u6e1b\u3089\u3057\u3001\u5b66\u7fd2\u901f\u5ea6\u3092\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u671f\u5f85\u3067\u304d\u308b\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Appendix\"><\/span>Appendix<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"Appendix1_GAN%E3%81%AE%E4%BB%95%E7%B5%84%E3%81%BF\"><\/span>Appendix.1 GAN\u306e\u4ed5\u7d44\u307f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-13-300x157.png\" alt=\"\" width=\"588\" height=\"308\" class=\"alignnone wp-image-7525\" \/><br \/>\n\u56f37\u3000GAN\u306e\u5168\u4f53\u50cf<\/p>\n<p>\u56f37\u306e\u3088\u3046\u306bGAN\u306f\u3001\u753b\u50cf\u3092\u4f5c\u308a\u51fa\u3059\u751f\u6210\u5668\u3068\u3001\u751f\u6210\u753b\u50cf\u3068\u672c\u7269\u753b\u50cf\u3092\u5224\u5b9a\u3059\u308b\u8b58\u5225\u5668\u304b\u3089\u6210\u308b\u3002<br \/>\n\u8b58\u5225\u5668\u306f\u3001\u672c\u7269\u753b\u50cf\u306b\u5bfe\u3057\u30661(True)\u3092\u51fa\u529b\u3057\u3001\u751f\u6210\u753b\u50cf\u306b\u5bfe\u3057\u30660(False)\u3092\u51fa\u529b\u3059\u308b\u3088\u3046\u306b\u5b66\u7fd2\u3059\u308b\u3002<br \/>\n\u4e00\u65b9\u3001\u751f\u6210\u5668\u306f\u3001*\u6f5c\u5728\u5909\u6570$z$\u304b\u3089\u751f\u6210\u753b\u50cf\u3092\u4f5c\u308a\u3001\u8b58\u5225\u5668\u306b\u672c\u7269\u753b\u50cf\u3067\u3042\u308b\u3068\u3060\u307e\u3059(\u3064\u307e\u308a\u3001\u8b58\u5225\u5668\u306b1(True)\u3068\u5224\u5b9a\u3055\u305b\u308b)\u3088\u3046\u306b\u5b66\u7fd2\u3059\u308b\u3002<\/p>\n<p>*\u6f5c\u5728\u5909\u6570(\u30ce\u30a4\u30ba, \u30ce\u30a4\u30ba\u30d9\u30af\u30c8\u30eb): \u89b3\u6e2c\u30c7\u30fc\u30bf\u306b\u76f4\u63a5\u73fe\u308c\u306a\u3044\u304c\u3001\u30c7\u30fc\u30bf\u751f\u6210\u30d7\u30ed\u30bb\u30b9\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u6f5c\u5728\u7684\u306a\u8981\u56e0\u3092\u8868\u3059\u5909\u6570\u3002<\/p>\n<p>\u6f5c\u5728\u5909\u6570\u306f\u3001\u5e73\u57470\u3001\u5206\u65631\u306e\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304b\u3089\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3055\u308c\u308b\u3002<br \/>\n\u56f38\u306f\u3001\u751f\u6210\u5668\u3092\u69cb\u6210\u3059\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6982\u7565\u56f3\u3067\u3042\u308b\u3002\u7c21\u5358\u5316\u306e\u305f\u3081\u3001\u96a0\u308c\u5c64\u306e\u6570\u306f1\u3064\u306b\u3057\u3066\u63cf\u3044\u3066\u3044\u308b\u3002<br \/>\n\u5165\u529b\u5c64\u306e\u5024\u304b\u3089\u51fa\u529b\u5c64\u306e\u5024\u306b\u5411\u3051\u3066\u3001\u91cd\u307f$w$\u3092\u304b\u3051\u305f\u5024\u306e\u548c\u3092\u3068\u308a\u3001\u95be\u5024\u3067\u3042\u308b\u30d0\u30a4\u30a2\u30b9$\\theta$\u3092\u5f15\u3044\u305f\u5f8c\u3001\u6d3b\u6027\u5316\u95a2\u6570\u306b\u901a\u3059\u3053\u3068\u3092\u7e70\u308a\u8fd4\u3059\u3002\u4eca\u56de\u5229\u7528\u3057\u305fMNIST\u306e\u5834\u5408\u3067\u306f\u3001\u751f\u6210\u5668\u306f20\uff5e100\u7a0b\u5ea6\u306e\u30d9\u30af\u30c8\u30eb\u306e\u8981\u7d20\u304b\u3089\u6210\u308b\u6f5c\u5728\u5909\u6570Z\u3092\u5165\u529b\u3057\u3001784\u30d4\u30af\u30bb\u30eb\u306e\u753b\u50cf\u30c7\u30fc\u30bf\u3092\u51fa\u529b\u3059\u308b\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-12-300x263.png\" alt=\"\" width=\"571\" height=\"501\" class=\"alignnone wp-image-7526\" \/><br \/>\n\u56f38\u3000\u751f\u6210\u5668(Generator)\u306e\u69cb\u9020<\/p>\n<p>\u56f39\u306f\u8b58\u5225\u5668\u3092\u69cb\u6210\u3059\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6982\u7565\u56f3\u3067\u3042\u308b\u3002<br \/>\n\u8b58\u5225\u5668\u306f\u3001784\u30d4\u30af\u30bb\u30eb\u306e\u753b\u50cf\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u3001\u305d\u306e\u30c7\u30fc\u30bf\u304c\u672c\u7269\u753b\u50cf\u3067\u3042\u308b\u304b(\u5224\u5b9a\u50241)\u3001\u751f\u6210\u753b\u50cf\u3067\u3042\u308b\u304b(\u5224\u5b9a\u50240)\u5224\u5b9a\u3059\u308b\u305f\u3081\u51fa\u529b\u5c64\u306f1\u3064\u3067\u3042\u308b\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-11-300x277.png\" alt=\"\" width=\"577\" height=\"533\" class=\"alignnone wp-image-7527\" \/><br \/>\n\u56f39\u3000\u8b58\u5225\u5668(discriminator)\u306e\u69cb\u9020<\/p>\n<p>\u6b21\u306b\u3001GAN\u306e\u5b66\u7fd2\u65b9\u6cd5\u3092\u8aac\u660e\u3059\u308b\u3002<br \/>\n\u59cb\u3081\u306b\u3001\u751f\u6210\u5668\u3068\u8b58\u5225\u5668\u3092\u69cb\u6210\u3059\u308b\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30d1\u30e9\u30e1\u30fc\u30bf($w$, $\\theta$)\u306e\u5024\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u8a2d\u5b9a\u3059\u308b\u3002\u6b21\u306b\u3001\u8b58\u5225\u5668\u306e\u5b66\u7fd2\u3092\u884c\u3046\u3002\u751f\u6210\u5668\u3067\u753b\u50cf\u3092\u751f\u6210\u3057\u305f\u5f8c\u3001\u8b58\u5225\u5668\u306b\u901a\u3059\u3002\u3053\u306e\u6642\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u30e9\u30f3\u30c0\u30e0\u306b\u8a2d\u5b9a\u3057\u305f\u306e\u3067\u3001\u8b58\u5225\u5668\u306e\u5224\u5b9a\u306f\u3067\u305f\u3089\u3081\u3067\u3042\u308b\u3002\u305d\u3053\u3067\u3001\u56f310\u306e\u3088\u3046\u306b\u640d\u5931\u95a2\u6570\u3092\u7528\u3044\u3066*\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u3067\u3001\u8b58\u5225\u5668\u304c\u6b63\u3057\u304f\u753b\u50cf\u3092\u5224\u5b9a\u3059\u308b\u3088\u3046\u306b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8abf\u7bc0\u3059\u308b\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u3001\u8b58\u5225\u5668\u306f\u3001\u751f\u6210\u753b\u50cf\u3068\u672c\u7269\u753b\u50cf\u3092\u6b63\u3057\u304f\u898b\u5206\u3051\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p>*\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5: \u51fa\u529b\u5c64\u304b\u3089\u5165\u529b\u5c64\u306b\u5411\u304b\u3063\u3066\u3001\u52fe\u914d(\u8aa4\u5dee\u306e\u5909\u5316\u7387)\u3092\u8a08\u7b97\u3057\u3001\u305d\u306e\u8a08\u7b97\u7d50\u679c\u3092\u57fa\u306b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8abf\u7bc0\u3059\u308b\u3053\u3068\u3067\u6b63\u89e3\u306e\u5024\u3068\u4e88\u6e2c\u5024\u306e\u5dee\u3092\u5c0f\u3055\u304f\u3055\u305b\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/03\/image-30-300x226.png\" alt=\"\" width=\"524\" height=\"395\" class=\"alignnone wp-image-7711\" \/><br \/>\n\u56f310\u3000\u8b58\u5225\u5668\u306e\u5b66\u7fd2<\/p>\n<p>\u8b58\u5225\u5668\u306e\u640d\u5931\u95a2\u6570:<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n&amp;L_{D} = -\\ \\left( \\ \\frac{1}{m} \\sum_{i = 1}^{m}\\ [\\log D(\\vec{x_{i}}) + \\log (1 &#8211; D(G(\\vec{z_{i}}))])\\right) \\tag{1} \\\\<br \/>\n&amp;m:\\ \u753b\u50cf\u30c7\u30fc\u30bf\u306e\u6570,\\ \\vec{x}:\\ \u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\\\\<br \/>\n&amp;G(\\vec{z}):\\ \u6f5c\u5728\u5909\u6570\u304b\u3089\u6c42\u3081\u305f\u751f\u6210\u753b\u50cf\u30c7\u30fc\u30bf\\\\<br \/>\n&amp;D(\\vec{x}):\\ \u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u5224\u5b9a\u5024(0 or 1)\\\\<br \/>\n&amp;D(G(\\vec{z})):\\ \u751f\u6210\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u5224\u5b9a\u5024(0 or 1)<br \/>\n\\end{align}<br \/>\n$$<\/p>\n<p>\u76ee\u6a19\u306f\u640d\u5931\u95a2\u6570\u306e\u5024\u304c0\u306b\u306a\u308b\u3088\u3046\u306b\u5b66\u7fd2\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u8b58\u5225\u5668\u306f\u672c\u7269\u753b\u50cf\u3092$D(\\vec{x})=1$\u3001\u751f\u6210\u753b\u50cf\u3092$D(G(\\vec{z}))=0$\u3068\u5224\u5b9a\u3059\u308b\u306e\u3067\u3001\u3053\u306e\u640d\u5931\u95a2\u6570\u306b\u4ee3\u5165\u3059\u308b\u30680\u306b\u306a\u308a\u3001\u76ee\u6a19\u3092\u9054\u6210\u3059\u308b\u3002\u6b21\u306b\u3001\u56f311\u306e\u3088\u3046\u306b\u751f\u6210\u5668\u304c\u5b66\u7fd2\u6e08\u307f\u306e\u8b58\u5225\u5668\u3092\u3060\u307e\u3059\u3088\u3046\u306b(\u3064\u307e\u308a\u3001\u8b58\u5225\u5668\u306b\u751f\u6210\u753b\u50cf\u30921\u3068\u5224\u5b9a\u3055\u305b\u308b)\u3001\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8abf\u7bc0\u3059\u308b\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u8b58\u5225\u5668\u306e\u30d1\u30e9\u30e1\u30fc\u30bf($w$, $\\theta$)\u3092\u56fa\u5b9a\u3057\u3066\u3001\u751f\u6210\u5668\u306e\u640d\u5931\u95a2\u6570\u3092\u7528\u3044\u3066\u8aa4\u5dee\u9006\u4f1d\u64ad\u6cd5\u3067\u751f\u6210\u5668\u3092\u5b66\u7fd2\u3059\u308b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/03\/image-31-300x157.png\" alt=\"\" width=\"500\" height=\"262\" class=\"alignnone wp-image-7714\" \/><br \/>\n\u56f311\u3000\u751f\u6210\u5668\u306e\u5b66\u7fd2<\/p>\n<p>\u751f\u6210\u5668\u306e\u640d\u5931\u95a2\u6570:<br \/>\n$$<br \/>\n\\begin{align}<br \/>\nL_{G} = -\\ \\left( \\ \\frac{1}{m} \\sum_{i = 1}^{m}\\ [\\log D(G(\\vec{z_{i}}))]\\right) \\tag{2}<br \/>\n\\end{align}<br \/>\n$$<br \/>\n\u76ee\u6a19\u306f\u640d\u5931\u95a2\u6570\u306e\u5024\u304c0\u306b\u306a\u308b\u3088\u3046\u306b\u5b66\u7fd2\u3059\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u751f\u6210\u5668\u306f\u8b58\u5225\u5668\u306b\u751f\u6210\u753b\u50cf\u3092\u672c\u7269\u753b\u50cf\u3067\u3042\u308b\u3068\u8aa4\u5224\u5b9a\u3055\u305b\u305f\u3044\u306e\u3067\u3001$D(G(\\vec{z}))=1$\u3068\u5224\u5b9a\u3057\u3001\u3053\u306e\u640d\u5931\u95a2\u6570\u306b\u4ee3\u5165\u3059\u308b\u30680\u306b\u306a\u308a\u3001\u76ee\u6a19\u3092\u9054\u6210\u3059\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u3001GAN\u3067\u306f\u3001\u8b58\u5225\u5668\u3068\u751f\u6210\u5668\u306e\u5b66\u7fd2\u3092\u7af6\u308f\u305b\u308b\u3053\u3068\u3067\u3001\u751f\u6210\u5668\u3067\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308b\u3002<br \/>\n\u6700\u5f8c\u306b\u3001\u4e0a\u8a18\u306e\u640d\u5931\u95a2\u6570\u3092\u4e00\u3064\u306e\u5f0f\u306b\u307e\u3068\u3081\u3066\u3001\u5168\u4f53\u306e\u5b66\u7fd2\u76ee\u6a19\u3092\u793a\u3057\u305f\u76ee\u7684\u95a2\u6570\u3092\u8aac\u660e\u3059\u308b\u3002\u4ee5\u4e0b\u304c\u305d\u306eGAN\u306e\u76ee\u7684\u95a2\u6570\u3067\u3042\u308b\u3002<\/p>\n<p>$$<br \/>\n\\begin{align*}<br \/>\n\\underset{G} \\min\\ \\underset{D} \\max\\ V(D, G) = E_{x \\sim P_{data(x)}}[\\log D(\\vec{x})] + E_{z \\sim P_{z(z)}}[\\log (1 &#8211; D(G(\\vec{z})))] \\tag{3}<br \/>\n\\end{align*}<br \/>\n$$<\/p>\n<p>\u7b2c1\u9805\u306f\u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\u306b\u95a2\u3059\u308b\u671f\u5f85\u5024\u3067\u3001\u7b2c2\u9805\u306f\u751f\u6210\u753b\u50cf\u30c7\u30fc\u30bf\u306b\u95a2\u3059\u308b\u671f\u5f85\u5024\u3067\u3042\u308b\u3002\u5f0f\u3067\u306f\u3001\u8b58\u5225\u5668\u306f\u7b2c1\u9805\u3068\u7b2c2\u9805\u306e\u548c\u3092\u6700\u5927\u5316\u3059\u308b\u3053\u3068\u3092\u76ee\u6a19\u306b\u3057\u3001\u751f\u6210\u5668\u306f\u7b2c2\u9805\u3092\u6700\u5c0f\u5316\u3059\u308b\u3053\u3068\u3092\u76ee\u6a19\u306b\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3059\u3002<br \/>\n\u307e\u305a\u3001\u5f0f(3)\u306e\u76ee\u7684\u95a2\u6570\u304b\u3089\u5f0f(1)\u306e\u8b58\u5225\u5668\u306e\u640d\u5931\u95a2\u6570\u306b\u3064\u3044\u3066\u8aac\u660e\u3059\u308b\u3002<br \/>\n\u56f312\u306f\u3001\u5f0f(3)\u306b\u542b\u307e\u308c\u308b\u5bfe\u6570\u95a2\u6570\u3092\u30b0\u30e9\u30d5\u306b\u3057\u305f\u56f3\u3067\u3042\u308b\u3002\u8b58\u5225\u5668\u306e\u5834\u5408\u3001\u5f0f(3)\u306e\u5024\u3092\u6700\u5927\u5316\u3055\u305b\u305f\u304f\u3001\u8b58\u5225\u5668\u306e\u5224\u5b9a\u304c\u6b63\u3057\u3044\u6642\u3001$D(G(\\vec{z}))=0$, $D(\\vec{z})=1$\u3068\u306a\u308a\u3001\u5f0f(1)\u306f0\u306b\u8fd1\u3065\u3044\u3066\u6700\u5927\u5316\u3059\u308b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-23-300x225.png\" alt=\"\" width=\"571\" height=\"428\" class=\"alignnone wp-image-7530\" \/><br \/>\n\u56f312\u3000\u8b58\u5225\u5668\u306b\u3064\u3044\u3066\u306e\u76ee\u7684\u95a2\u6570<\/p>\n<p>\u6b21\u306b\u5f0f(3)\u306e\u76ee\u7684\u95a2\u6570\u304b\u3089\u5f0f(2)\u306e\u751f\u6210\u5668\u306e\u640d\u5931\u95a2\u6570\u306b\u3064\u3044\u3066\u8aac\u660e\u3059\u308b\u3002\u5f0f(3)\u3067\u306f\u3001\u5024\u3092\u6700\u5c0f\u5316\u3055\u305b\u305f\u304f\u3001\u751f\u6210\u5668\u304c\u8b58\u5225\u5668\u3092\u3060\u307e\u3059\u6642\u3001$D(G(\\vec{z}))=1$\u3068\u306a\u308a\u3001\u3053\u306e\u6642\u3001\u5f0f(3)\u306f$-\\infty$\u306b\u306a\u308a\u3001\u6700\u5c0f\u306b\u306a\u3063\u3066\u308b\u3002\u3057\u304b\u3057\u3001\u5b66\u7fd2\u59cb\u3081\u306e\u52fe\u914d\u304c\u7de9\u3084\u304b\u3067\u3001\u5b66\u7fd2\u304c\u9032\u307e\u306a\u3044\u53ef\u80fd\u6027\u304c\u3042\u308b\u306e\u3067\u3001\u640d\u5931\u95a2\u6570\u306b\u306f\u3001\u56f314\u306e\u3088\u3046\u306b\u3001$log(x)$\u3092\u7528\u3044\u3066\u3044\u308b\u3002\u3088\u3063\u3066\u3001\u751f\u6210\u5668\u306e\u640d\u5931\u95a2\u6570\u306f\u5f0f(2)\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-24-300x225.png\" alt=\"\" width=\"560\" height=\"420\" class=\"alignnone wp-image-7531\" \/><br \/>\n\u56f313\u3000\u751f\u6210\u5668\u306b\u3064\u3044\u3066\u306e\u76ee\u7684\u95a2\u6570<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-25-300x225.png\" alt=\"\" width=\"560\" height=\"420\" class=\"alignnone wp-image-7532\" \/><br \/>\n\u56f314\u3000\u751f\u6210\u5668\u306e\u640d\u5931\u95a2\u6570\u3068\u306e\u5bfe\u5fdc<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Appendix2_FID%E5%80%A4\"><\/span>Appendix.2 FID\u5024<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>FID(Fr\u00e9chet Inception Distance)\u5024\u306f\u3001\u672c\u7269\u753b\u50cf\u3068\u751f\u6210\u753b\u50cf\u306e\u985e\u4f3c\u5ea6\u306e\u5024\u3067\u3001\u751f\u6210\u753b\u50cf\u304c\u672c\u7269\u753b\u50cf\u306b\u4f3c\u3066\u3044\u308b\u307b\u3069\u3001FID\u5024\u306f\u5c0f\u3055\u304f\u306a\u308b\u3002<br \/>\nFID\u5024\u3092\u3082\u3068\u3081\u308b\u5f0f\u306f<br \/>\n$$<br \/>\n\\begin{align*}<br \/>\n&amp;FID(x, g) = ||\\mu_x &#8211; \\mu_g||_2^2 + Tr(\\sigma_x + \\sigma_g &#8211; 2(\\sigma_x \\sigma_g)^{0.5}) \\\\<br \/>\n&amp;\\mu_x:\\ \u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u91cf\u306e\u5e73\u5747(\u30d9\u30af\u30c8\u30eb) \\\\<br \/>\n&amp;\\sigma_x:\\ \u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u91cf\u306e\u5206\u6563(\u30d9\u30af\u30c8\u30eb) \\\\<br \/>\n&amp;\\mu_g:\\ \u751f\u6210\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u91cf\u306e\u5e73\u5747(\u30d9\u30af\u30c8\u30eb) \\\\<br \/>\n&amp;\\sigma_g:\\ \u751f\u6210\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u91cf\u306e\u5206\u6563(\u30d9\u30af\u30c8\u30eb)<br \/>\n&amp;\\end{align*}<br \/>\n$$<br \/>\n\u3068\u8868\u3055\u308c\u308b\u3002\u7b2c1\u9805\u306f$L^2$\u30ce\u30eb\u30e0\u3067\u3001\u7b2c2\u9805\u306f$\\sqrt{\\sigma_x}$\u3068$\\sqrt{\\sigma_g}$\u306e\u5dee\u306e\u5171\u5206\u6563\u884c\u5217\u3092\u30c8\u30ec\u30fc\u30b9\u3092\u3068\u3063\u305f\u5024\u3067\u3042\u308b\u3002<br \/>\n\u6c42\u3081\u65b9\u306f\u3001\u307e\u305a\u3001*Inception-v3\u3068\u3044\u3046\u5b66\u7fd2\u6e08\u307f\u306e\u30e2\u30c7\u30eb\u306b\u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u3066\u3001\u753b\u50cf\u306e\u7279\u5fb4\u91cf\u3092\u62bd\u51fa\u3059\u308b\u3002\u540c\u69d8\u306b\u3001\u751f\u6210\u753b\u50cf\u306e\u7279\u5fb4\u91cf\u3082\u62bd\u51fa\u3059\u308b\u3002\u6b21\u306b\u3001\u672c\u7269\u753b\u50cf\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u91cf\u306e\u5206\u5e03\u3092\u30ac\u30a6\u30b9\u5206\u5e03\u3068\u307f\u306a\u3057\u3066\u3001\u5e73\u5747\u3068\u5206\u6563\u3092\u3082\u3068\u3081\u308b\u3002\u751f\u6210\u753b\u50cf\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306b\u3082\u3068\u3081\u308b\u3002\u305d\u308c\u3089\u3092FID\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u3001\u5024\u3092\u3082\u3068\u3081\u308b\u3002<\/p>\n<p>*Inception-v3: \u753b\u50cf\u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u3066\u3001\u753b\u50cf\u306e\u7279\u5fb4\u91cf\u3092\u51fa\u529b\u3059\u308b\u5b66\u7fd2\u6e08\u307f\u306e\u30e2\u30c7\u30eb<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Appendix3_%E9%87%8F%E5%AD%90%E3%82%B2%E3%83%BC%E3%83%88\"><\/span>Appendix.3 \u91cf\u5b50\u30b2\u30fc\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u91cf\u5b50\u30d3\u30c3\u30c8(Qbit)\u306f\u3001\u53e4\u5178\u7684\u306a\u30d3\u30c3\u30c8\u306e\u3088\u3046\u306a0\u304b1\u306e2\u5024\u3067\u306f\u306a\u304f\u3001\u89b3\u5bdf\u3055\u308c\u308b\u307e\u30670\u30681\u306e\u72b6\u614b\u304c\u91cd\u306a\u3063\u3066\u3044\u308b(\u91cd\u306d\u5408\u308f\u305b\u306e\u72b6\u614b)\u3002<br \/>\n\u3053\u306e\u91cd\u306d\u5408\u308f\u305b\u306e\u72b6\u614b$\\ket{\\psi}$\u3092\u5f0f\u3067\u8868\u3059\u3068<br \/>\n$$<br \/>\n\\begin{align*}<br \/>\n&amp;\\ket{\\psi} = \\alpha \\ket{0} + \\beta \\ket{1}<br \/>\n= \\left[<br \/>\n\\begin{array}{cccc}<br \/>\n\\alpha\\\\<br \/>\n\\beta<br \/>\n\\end{array}<br \/>\n\\right] \\\\<br \/>\n&amp;|\\alpha|^2 + |\\beta|^2 = 1 \\\\<br \/>\n&amp;\\alpha,\\ \\beta:\\ \u8907\u7d20\u6570 \\\\<br \/>\n&amp;\\ket{0},\\ \\ket{1}:\\ \u8907\u7d20\u6570\u30d9\u30af\u30c8\u30eb<br \/>\n\\end{align*}<br \/>\n$$<br \/>\n\u3068\u306a\u308b\u3002$|\\alpha|^2 $\u306f\u89b3\u5bdf\u3055\u308c\u305f\u3068\u304d0\u3092\u8fd4\u3059\u78ba\u7387\u3092\u793a\u3057\u3001$|\\beta|^2$\u306f\u89b3\u5bdf\u3055\u308c\u305f\u3068\u304d1\u3092\u8fd4\u3059\u78ba\u7387\u3092\u793a\u3059\u3002\u305d\u306e\u305f\u3081\u3001$\\alpha\u3068\\beta$\u306f\u30010\u30681\u306e\u8d77\u3053\u308a\u3084\u3059\u3055\u3092\u8868\u3059\u306e\u3067\u3001\u78ba\u7387\u632f\u5e45\u3068\u547c\u3070\u308c\u308b\u3002<br \/>\n\u6b21\u306b0\u30681\u306e\u91cd\u306d\u5408\u308f\u305b\u306e\u72b6\u614b\u3092\u5358\u4f4d\u7403\u9762\u4e0a\u3067\u8996\u899a\u7684\u306b\u8868\u73fe\u3055\u308c\u305f\u30d6\u30ed\u30c3\u30db\u7403(Bloch sphere)\u3092\u7d39\u4ecb\u3059\u308b\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-22-300x300.png\" alt=\"\" width=\"550\" height=\"550\" class=\"alignnone wp-image-7533\" \/><br \/>\n\u56f315\u3000\u30d6\u30ed\u30c3\u30db\u7403\u306e\u4f8b<\/p>\n<p>\u4f8b\u3048\u3070\u3001$\\ket{\\psi} = \\frac{1}{\\sqrt{2}} \\ket{0} + \\frac{i}{\\sqrt{2}} \\ket{1}$\u3092\u30d6\u30ed\u30c3\u30db\u7403\u3067\u8868\u3057\u305f\u306e\u304c\u56f315\u3067\u3042\u308b\u3002<br \/>\n\u3053\u308c\u3092\u8e0f\u307e\u3048\u3066\u3001\u56de\u8ee2\u30b2\u30fc\u30c8\u3092\u8aac\u660e\u3059\u308b\u3002\u4eca\u56de\u306e\u5909\u5206\u91cf\u5b50\u56de\u8def\u306b\u4f7f\u308f\u308c\u305f\u56de\u8ee2\u30b2\u30fc\u30c8\u306f\u3001x\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u3001y\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u3001z\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u3067\u3042\u308b\u3002<br \/>\nx\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u306f\u3001x\u8ef8\u3092\u8ef8\u306b\u3057\u3066\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u4efb\u610f\u306e\u89d2\u5ea6$\\theta$\u56de\u8ee2\u3055\u305b\u308b\u50cd\u304d\u304c\u3042\u308b\u3002\u884c\u5217\u3067\u8868\u3059\u3068\u3001<br \/>\n$$<br \/>\nR_x(\\theta) = \\left[<br \/>\n\\begin{array}{cccc}<br \/>\n\\cos \\frac{\\theta}{2} &amp; -i \\sin \\frac{\\theta}{2}\\\\<br \/>\n\\\\<br \/>\n-i \\sin \\frac{\\theta}{2} &amp; \\cos \\frac{\\theta}{2}<br \/>\n\\end{array}<br \/>\n\\right]<br \/>\n$$<br \/>\n\u3068\u306a\u308a\u3001\u72b6\u614b$\\ket{\\psi}$\u306e\u884c\u5217\u3068\u7a4d\u3092\u3068\u308b\u3053\u3068\u3067\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u304cx\u8ef8\u30b2\u30fc\u30c8\u3092\u901a\u3063\u305f\u5f8c\u306e\u72b6\u614b\u3092\u3082\u3068\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002<br \/>\n\u540c\u69d8\u306b\u3057\u3066\u3001y\u8ef8\u30b2\u30fc\u30c8\u306f\u3001y\u8ef8\u3092\u8ef8\u3068\u3057\u3066\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u56de\u8ee2\u3055\u305b\u3066\u3001\u305d\u306e\u884c\u5217\u306f\u3001<br \/>\n$$<br \/>\nR_y(\\theta) = \\left[<br \/>\n\\begin{array}{cccc}<br \/>\n\\cos \\frac{\\theta}{2} &amp; -\\sin \\frac{\\theta}{2}\\\\<br \/>\n\\\\<br \/>\n\\sin \\frac{\\theta}{2} &amp; \\cos \\frac{\\theta}{2}<br \/>\n\\end{array}<br \/>\n\\right]<br \/>\n$$<br \/>\n\u3067\u3042\u308b\u3002z\u30b2\u30fc\u30c8\u306f\u3001z\u8ef8\u56de\u8ee2\u3067\u305d\u306e\u884c\u5217\u306f<br \/>\n$$<br \/>\nR_z(\\theta) = \\left[<br \/>\n\\begin{array}{cccc}<br \/>\ne^{-i \\frac{\\theta}{2}} &amp; 0\\\\<br \/>\n\\\\<br \/>\n0 &amp; e^{i \\frac{\\theta}{2}}<br \/>\n\\end{array}<br \/>\n\\right]<br \/>\n$$<br \/>\n\u3067\u3042\u308b\u3002\u6700\u5f8c\u306b\u4e8c\u3064\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306b\u4f5c\u7528\u3055\u305b\u308bCNOT\u30b2\u30fc\u30c8\u3092\u8aac\u660e\u3059\u308b\u3002<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/image-20-300x113.png\" alt=\"\" width=\"560\" height=\"211\" class=\"alignnone wp-image-7534\" \/><br \/>\n\u56f316\u3000CNOT\u30b2\u30fc\u30c8<\/p>\n<p>$\\ket{\\psi&#8217;_1}$\u306f\u3001$\\ket{\\psi_1}$\u3092\u51fa\u529b\u3059\u308b\u3002 $\\ket{\\psi&#8217;_2}$\u306f\u3001\u307e\u305a$\\ket{\\psi_1}$\u3068$\\ket{\\psi_2}$\u306e\u30c6\u30f3\u30bd\u30eb\u7a4d\u3092\u3068\u308b\u3002<br \/>\n$$<br \/>\n\\begin{align*}<br \/>\n\\ket{\\psi_1} \\otimes \\ket{\\psi_2} &amp;= (\\alpha_1 \\ket{0} + \\beta_1 \\ket{1}) \\otimes (\\alpha_2 \\ket{0} + \\beta_2 \\ket{1})\\\\<br \/>\n&amp;= \\alpha_1 \\alpha_2 \\ket{00} + \\alpha_1 \\beta_2 \\ket{01} + \\beta_1 \\alpha_2 \\ket{10} + \\beta_1 \\beta_2 \\ket{11}\\\\<br \/>\n&amp;=\\left[<br \/>\n\\begin{array}{cccc}<br \/>\n\\alpha_1 \\alpha_2\\\\<br \/>\n\\alpha_1 \\beta_2\\\\<br \/>\n\\beta_1 \\alpha_2\\\\<br \/>\n\\beta_1 \\beta_2<br \/>\n\\end{array}<br \/>\n\\right]<br \/>\n\\end{align*}<br \/>\n$$<br \/>\n\u6b21\u306b\u3001\u56f316\u306e\u5236\u5fa1\u30d3\u30c3\u30c8\u304c$\\ket{0}$\u306e\u6642\u306f\u4f55\u3082\u64cd\u4f5c\u305b\u305a\u3001\u5236\u5fa1\u30d3\u30c3\u30c8\u304c$\\ket{1}$\u306e\u6642\u306f\u3001\u6a19\u7684\u30d3\u30c3\u30c8\u306bx\u8ef8\u56de\u8ee2\u30b2\u30fc\u30c8\u3092\u4f5c\u7528\u3055\u305b\u308b\u3002<br \/>\n\u3053\u306e\u904e\u7a0b\u306f\u884c\u5217\u3067\u306f\u3001<br \/>\n$$<br \/>\nU_{CNOT\\ R_x} =<br \/>\n\\left[<br \/>\n\\begin{array}{cccc}<br \/>\n1 &amp; 0 &amp; 0 &amp; 0\\\\<br \/>\n0 &amp; 1 &amp; 0 &amp; 0\\\\<br \/>\n0 &amp; 0 &amp; \\cos\\frac{\\theta}{2} &amp; -i \\sin\\frac{\\theta}{2}\\\\<br \/>\n0 &amp; 0 &amp; -i \\sin\\frac{\\theta}{2} &amp; \\cos\\frac{\\theta}{2}<br \/>\n\\end{array}<br \/>\n\\right]<br \/>\n$$<br \/>\n\u3068\u8868\u3055\u308c\u3001\u4e8c\u3064\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u30c6\u30f3\u30bd\u30eb\u7a4d\u306e\u5f8c\u306b\u3053\u306e\u884c\u5217\u3068\u7a4d\u3092\u3068\u308b\u3053\u3068\u3067\u3001CNOT\u30b2\u30fc\u30c8\u3092\u4f5c\u7528\u3055\u305b\u305f\u3053\u3068\u306b\u306a\u308b\u3002\u30c6\u30f3\u30bd\u30eb\u7a4d\u306e\u8a08\u7b97\u7d50\u679c\u3092\u898b\u308b\u3068\u3001\u30d9\u30af\u30c8\u30eb\u306e\u8981\u7d20\u6570\u304c2\u3064\u304b\u30894\u3064\u306b\u5897\u3048\u3066\u3044\u308b\u3002\u3053\u308c\u306f\u3001\u91cf\u5b50\u72b6\u614b\u304c2\u3064\u304b\u30894\u3064\u306b\u306a\u308b\u3053\u3068\u3092\u8868\u3057\u3066\u3044\u308b\u3002\u30d1\u30e9\u30e1\u30fc\u30bf$\\theta$\u3092\u6301\u3064CNOT\u30b2\u30fc\u30c8\u3092\u4f55\u5ea6\u3082\u4f5c\u7528\u3055\u305b\u308b\u3053\u3068\u3067\u91cf\u5b50\u72b6\u614b\u3092\u5897\u3084\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u3001\u4f7f\u7528\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf$\\theta$\u306e\u7a2e\u985e\u3092\u5c11\u306a\u304f\u3066\u3082\u53e4\u5178\u7684\u306a\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u540c\u7b49\u306e\u8868\u73fe\u529b\u3092\u6301\u3064\u3053\u3068\u304c\u53ef\u80fd\u306b\u306a\u308b\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\"><\/span>\u53c2\u8003\u6587\u732e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>[1] https:\/\/gitee.com\/mindspore\/mindquantum\/tree\/research\/paper_with_code<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span>\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001GAN\u306e\u751f\u6210\u5668\u306e\u90e8\u5206\u306b\u5909\u5206\u91cf\u5b50\u56de\u8def\u3092\u7528\u3044\u305fQCGAN\u3060\u3051\u3067\u306a\u304f\u3001GAN\u306e\u751f\u6210\u5668\u3068\u8b58\u5225\u5668\u306b\u5909\u5206\u91cf\u5b50\u56de\u8def\u3092\u7528\u3044\u305fQuGAN\u3082\u7d39\u4ecb\u3057\u3066\u3044\u308b\u3002\u3057\u304b\u3057\u3001\u7d50\u679c\u3067\u306fQuGAN\u306e\u751f\u6210\u304c\u753b\u50cf\u306f\u4e0d\u9bae\u660e\u3067\u3042\u308b\u3053\u3068\u304c\u591a\u304b\u3063\u305f\u3002\u3053\u306e\u3088\u3046\u306b\u5909\u5206\u91cf\u5b50\u56de\u8def\u306e\u80fd\u529b\u304c\u767a\u63ee\u3055\u308c\u308b\u5834\u9762\u306b\u306f\u6761\u4ef6\u304c\u3042\u308b\u3088\u3046\u306b\u601d\u3048\u308b\u3002\u4eca\u5f8c\u306f\u3001\u753b\u50cf\u751f\u6210\u30e2\u30c7\u30eb\u306b\u6761\u4ef6\u3092\u5909\u3048\u3066\u5909\u5206\u91cf\u5b50\u56de\u8def\u3092\u7d44\u307f\u8fbc\u3080\u3053\u3068\u3067\u751f\u6210\u753b\u50cf\u306e\u5411\u4e0a\u306e\u539f\u56e0\u3092\u660e\u3089\u304b\u306b\u3057\u3001\u305d\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\u3053\u3068\u304c\u6c42\u3081\u3089\u308b\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E6%8B%85%E5%BD%93%E8%80%85\"><\/span>\u672c\u8a18\u4e8b\u306e\u62c5\u5f53\u8005<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5d8b\ufa11\u53f8\u6643<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af(GAN:Generative Adversarial Network)\u306f\u3001\u753b\u50cf\u3092\u751f\u6210\u3059\u308b\u6df1\u5c64\u5b66\u7fd2\u3067\u3042\u308a\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u591a\u304f\u306a\u308b\u307b\u3069\u3001\u8a08\u7b97\u30b3\u30b9\u30c8\u304c\u4e00\u5c64\u9ad8\u304f\u306a\u308b\u3068\u3044\u3046\u554f\u984c\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u672c\u8ad6\u6587\u3067\u306fGAN\u306e\u751f\u6210\u5668\u3092\u91cf\u5b50\u56de\u8def\u3068\u30cb\u30e5\u30fc\u30e9\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c8\u3067\u69cb\u6210\u3057\u3001\u305d\u306e\u7d50\u679c\u3001\u624b\u66f8\u304d\u753b\u50cf\u306e\u751f\u6210\u306b\u304a\u3044\u3066\u3001\u8a08\u7b97\u30b3\u30b9\u30c8\u3092\u524a\u6e1b\u3059\u308b\u3053\u3068\u306b\u6210\u529f\u3057\u307e\u3057\u305f\u3002<\/p>\n","protected":false},"author":19,"featured_media":8279,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[19,91],"class_list":["post-7488","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-review","tag-gan","tag-91"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6027\u80fd\u3092\u9ad8\u3081\u308b\u5909\u5206\u91cf\u5b50\u56de\u8def - T-QARD Harbor<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/25\/\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6027\u80fd\u3092\u9ad8\u3081\u308b\u5909\u5206\u91cf\u5b50\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u6575\u5bfe\u7684\u751f\u6210\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6027\u80fd\u3092\u9ad8\u3081\u308b\u5909\u5206\u91cf\u5b50\u56de\u8def - T-QARD Harbor\" \/>\n<meta property=\"og:description\" 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