{"id":6999,"date":"2024-03-19T17:33:52","date_gmt":"2024-03-19T08:33:52","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=6999"},"modified":"2024-03-19T17:33:52","modified_gmt":"2024-03-19T08:33:52","slug":"%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/","title":{"rendered":"\u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff1a\u7f70\u91d1\u9805\u3092\u4f7f\u308f\u305a\u306b\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u89e3\u304f"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 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\" 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href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%83%8C%E6%99%AF%E3%83%BB%E8%AA%B2%E9%A1%8C\" >\u80cc\u666f\u30fb\u8ab2\u984c<\/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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E3%82%A4%E3%82%B8%E3%83%B3%E3%82%B0%E6%A8%A1%E5%9E%8B%E3%81%A8%E3%82%B0%E3%83%A9%E3%83%95%E5%BD%A9%E8%89%B2\" >\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3068\u30b0\u30e9\u30d5\u5f69\u8272<\/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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E9%87%8F%E5%AD%90%E3%83%A2%E3%83%B3%E3%83%86%E3%82%AB%E3%83%AB%E3%83%AD%E6%B3%95\" >\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5<\/a><\/li><li class='ez-toc-page-1 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href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E6%89%8B%E6%B3%95\" >\u624b\u6cd5<\/a><\/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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E5%AE%9F%E9%A8%93\" >\u5b9f\u9a13<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_1\" >\u8a55\u4fa1\u6307\u6a19 1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_1-%E7%B5%90%E6%9E%9C\" >\u8a55\u4fa1\u6307\u6a19 1-\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_2\" >\u8a55\u4fa1\u6307\u6a19 2<\/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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_2-%E7%B5%90%E6%9E%9C\" >\u8a55\u4fa1\u6307\u6a19 2-\u7d50\u679c<\/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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E5%AE%9F%E9%A8%93%E7%B5%90%E6%9E%9C%E3%81%AE%E3%81%BE%E3%81%A8%E3%82%81\" >\u5b9f\u9a13\u7d50\u679c\u306e\u307e\u3068\u3081<\/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\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%80%83%E5%AF%9F\" >\u8003\u5bdf<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99\" >\u8a55\u4fa1\u6307\u6a19<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E8%80%83%E5%AF%9F%EF%BC%9ANN_type_%E3%81%8CFC_type%E3%82%88%E3%82%8A_residual_energy_%E3%81%8C%E5%B0%8F%E3%81%95%E3%81%8F%E3%81%AA%E3%81%A3%E3%81%9F%E7%90%86%E7%94%B1\" >\u8003\u5bdf\uff1aNN type \u304cFC type\u3088\u308a residual energy \u304c\u5c0f\u3055\u304f\u306a\u3063\u305f\u7406\u7531<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E7%B5%90%E8%AB%96\" >\u7d50\u8ad6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E4%BD%9C%E6%88%90%E8%80%85\" >\u672c\u8a18\u4e8b\u306e\u4f5c\u6210\u8005<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2024\/03\/19\/%e5%88%b6%e7%b4%84%e4%bb%98%e3%81%8d%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%ef%bc%9a%e7%bd%b0%e9%87%91%e9%a0%85%e3%82%92%e4%bd%bf%e3%82%8f%e3%81%9a%e3%81%ab%e3%82%b0\/#%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\" >\u53c2\u8003\u6587\u732e<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span><strong>\u6587\u732e\u60c5\u5831<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u30bf\u30a4\u30c8\u30eb\uff1aConstrained quantum annealing of graph coloring<\/li>\n\n\n\n<li>\u8457\u8005\uff1aKazue Kudo<\/li>\n\n\n\n<li>Doi \u30ea\u30f3\u30af\uff1a<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span><strong>\u6982\u8981<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u5236\u7d04\u306f\u7f70\u91d1\u9805\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u3057\u304b\u3057\u3053\u306e\u624b\u6cd5\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (QA) \u306e\u6027\u80fd\u3092\u843d\u3068\u3057\u3066\u3057\u307e\u3046\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f <strong>\u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (Constrained Quantum Annealing, CQA)<\/strong> \u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u3092\u7528\u3044\u3066\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304d\u307e\u3059\u3002\u3053\u306e\u624b\u6cd5\u306f\u5236\u7d04\u3092\u7f70\u91d1\u9805\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u91cf\u5b50\u52b9\u679c\u3092\u8868\u3059 driver Hamiltonian \u3092\u9069\u5207\u306b\u7528\u3044\u308b\u3053\u3068\u3067\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306e\u307f\u306b\u9650\u5b9a\u3057\u3066\u63a2\u7d22\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u308b\u624b\u6cd5\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e00\u4f8b\u3068\u3057\u3066\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u6ce8\u76ee\u3057\u3066\u3001\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092 CQA \u3092\u7528\u3044\u3066\u89e3\u304d\u307e\u3059\u3002\u5b9f\u9a13\u306e\u7d50\u679c\u3067\u306f CQA \u306b\u3088\u308a\u6700\u9069\u89e3\u306b\u8fd1\u3044\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u4e88\u60f3\u3068\u9055\u3046\u7d50\u679c\u3082\u5f97\u3089\u308c\u3001\u3053\u306e\u8003\u5bdf\u3082\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%83%8C%E6%99%AF%E3%83%BB%E8%AA%B2%E9%A1%8C\"><\/span><strong>\u80cc\u666f\u30fb\u8ab2\u984c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%82%A4%E3%82%B8%E3%83%B3%E3%82%B0%E6%A8%A1%E5%9E%8B%E3%81%A8%E3%82%B0%E3%83%A9%E3%83%95%E5%BD%A9%E8%89%B2\"><\/span><strong>\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3068\u30b0\u30e9\u30d5\u5f69\u8272<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3068\u3057\u3066\u8868\u73fe\u3057\u307e\u3059\u3002\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306f\u30a4\u30b8\u30f3\u30b0\u5909\u6570 $\\sigma_{i} \u2208 \\{\u22121,1\\}$ \u3068 2 \u3064\u306e\u30a4\u30b8\u30f3\u30b0\u5909\u6570\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u306e\u4fc2\u6570 $J_{ij}$\u3001\u5c40\u6240\u78c1\u5834 $h_{i}$ \u3092\u7528\u3044\u3066\u4ee5\u4e0b\u306e\u5f62 (1) \u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H(\\sigma) = &#8211; \\sum_{i&lt;j} J_{ij}\\sigma_{i}\\sigma_{j} &#8211; \\sum_{i} h_{i}\\sigma_{i} \\tag{1}<br>$$<\/p>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u7740\u76ee\u3057\u307e\u3059\u3002\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3068\u306f\u8fba\u3067\u96a3\u63a5\u3057\u305f\u9802\u70b9\u306b\u5bfe\u3057\u3066\u540c\u3058\u8272\u3092\u5272\u308a\u5f53\u3066\u306a\u3044\u3088\u3046\u306b\u5404\u9802\u70b9\u3092 1 \u8272\u3067\u5f69\u8272\u3059\u308b\u554f\u984c\u306e\u3053\u3068\u3067\u3059\u3002\u56f3 1 \u306b\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u4f8b\u3092\u793a\u3057\u307e\u3057\u305f\u3002\u56f3 1(b) \u306e\u4f8b\u3067\u306f\u96a3\u63a5\u3057\u305f\u9802\u70b9\u306b\u540c\u3058\u8272\u3092\u5272\u308a\u5f53\u3066\u3066\u3044\u308b\u306e\u3067\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u89e3\u3068\u3057\u3066\u306f\u4e0d\u9069\u5207\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/image.png\" alt=\"\u753b\u50cf\u306b alt \u5c5e\u6027\u304c\u6307\u5b9a\u3055\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u30d5\u30a1\u30a4\u30eb\u540d: image.png\" class=\"wp-image-7149\" style=\"aspect-ratio:2.160919540229885;width:453px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 1\uff1a\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u4f8b<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u5b9f\u969b\u306b\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30b0\u30e9\u30d5\u306f\u9802\u70b9\u6570\u3092 $n$\u3001\u8fba\u6570\u3092 $m$ \u3068\u3057\u3066\u3001\u5f69\u8272\u306b\u7528\u3044\u308b\u8272\u306e\u6570\u3092 $q$ \u3068\u3057\u307e\u3059\u3002\u30a4\u30b8\u30f3\u30b0\u5909\u6570\u306f $\\sigma_{i,a} \\in \\{-1,1\\}$ \u3068\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u9802\u70b9 $i$ \u306b\u8272 $a$ \u3092\u5272\u308a\u5f53\u3066\u308b\u3068\u304d $\\sigma_{i,a} = 1$\u3001\u305d\u308c\u4ee5\u5916\u3067 $\\sigma_{i,a} = -1$ \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u96a3\u63a5\u3057\u305f\u9802\u70b9\u306b\u540c\u3058\u8272\u3092\u5272\u308a\u5f53\u3066\u306a\u3044\u3053\u3068\u3092\u8868\u3059\u9805\u306f\u4ee5\u4e0b\u306e (2) \u5f0f\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067 $E$ \u306f\u8fba\u306e\u96c6\u5408\u3092\u8868\u3057\u3001$(ij) \\in E$ \u306f\u9802\u70b9 $i$ \u3068\u9802\u70b9 $j$ \u304c\u96a3\u63a5\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002\u9802\u70b9 $i$ \u306b\u8272 $a$ \u304c\u5272\u308a\u5f53\u3066\u3089\u308c\u308b\u3068\u304d $\\frac{\\sigma_{i,a}+1}{2} =1$\u3001\u305d\u308c\u4ee5\u5916\u3067 $\\frac{\\sigma_{i,a}+1}{2} =0$ \u3068\u306a\u308b\u306e\u3067\u3001\u9802\u70b9 $i$ \u3068\u9802\u70b9 $j$ \u306b\u540c\u3058\u8272 $a$ \u304c\u5272\u308a\u5f53\u3066\u3089\u308c\u306a\u3044\u3068\u304d $\\frac{\\sigma_{i,a}+1}{2}\\frac{\\sigma_{j,a}+1}{2}=0$ \u3068\u306a\u308a $H_{1}$ \u306f\u6700\u5c0f\u5024 0 \u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H_{1} = \\sum_{(ij) \\in E} \\sum_{a=1}^{q} \\frac{\\sigma_{i,a}+1}{2} \\frac{\\sigma_{j,a}+1}{2} \\tag{2}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u304b\u3089\u306f\u5404\u9802\u70b9\u306b 1 \u8272\u3060\u3051\u5272\u308a\u5f53\u3066\u308b\u5236\u7d04\u3092\u5b9a\u5f0f\u5316\u3057\u307e\u3059\u3002\u307e\u305a\u3001\u5404\u9802\u70b9\u306b 1 \u8272\u3060\u3051\u5272\u308a\u5f53\u3066\u308b\u3068\u304d\u306f\u4ee5\u4e0b\u306e (3) \u5f0f\u3092\u6e80\u305f\u3057\u307e\u3059\u3002\u3053\u308c\u306f $\\sigma_{i,a}=1$ \u3068\u306a\u308b\u8272 $a$ \u304c\uff11\u3064\u3060\u3051\u3042\u308a\u3001$\\sigma_{i,a}=-1$ \u3068\u306a\u308b\u8272 $a$ \u304c $q \u2212 1$ \u8272\u3042\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\sum_{a=1}^{q} \\sigma_{i,a} = 1 \\cdot 1 + (-1) \\cdot (q-1) = 2 &#8211; q  \\tag{3}<br>$$<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306a\u5236\u7d04\u306f\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3068\u3057\u3066\u6b21\u306e (4) \u5f0f\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3055\u308c\u307e\u3059\u3002$\\sum_{a=1}^{q} \\sigma_{i, a} = 2 -q$ \u3092\u6e80\u305f\u3059\u3068\u304d $H_{2}$ \u306f\u6700\u5c0f\u5024 0 \u3092\u3068\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H_{2} = \\sum_{i=1}^{n} \\left( \\sum_{a=1}^{q} \\sigma_{i,a} &#8211; (2-q) \\right)^{2} \\tag{4}<br>$$<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3059\u308b\u3068\u6b21\u306e (5) \u5f0f\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H = H_{1} + \\alpha H_{2} \\tag{5}<br>$$<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u5236\u7d04\u3092\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3059\u308b\u305f\u3081\u306b\u306f\u4e8c\u4e57\u306e\u9805\u3092\u52a0\u3048\u308b\u306e\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u9805\u3092<strong>\u7f70\u91d1\u9805<\/strong>\u3068\u547c\u3073\u307e\u3059\u3002\u3057\u304b\u3057\u7f70\u91d1\u9805\u3092\u7528\u3044\u308b\u624b\u6cd5\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u6027\u80fd\u3092\u843d\u3068\u3057\u3066\u3057\u307e\u3046\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%87%8F%E5%AD%90%E3%83%A2%E3%83%B3%E3%83%86%E3%82%AB%E3%83%AB%E3%83%AD%E6%B3%95\"><\/span><strong>\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u4e0a\u3067\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3059\u308b\u624b\u6cd5\u306b\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u624b\u6cd5\u3067\u306f\u5b9f\u306f\u3001\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u4e2d\u3067\u89e3\u3092\u63a2\u7d22\u3067\u304d\u308b\u306e\u3067\u7f70\u91d1\u9805\u3092\u7528\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3067\u306f\u8907\u6570\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3068\u305d\u308c\u3089\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u7528\u3044\u3066\u89e3\u3092\u63a2\u7d22\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6982\u8981\u3092\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>1 \u3064\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306b\u5bfe\u3057\u3066\u89e3\u306e\u72b6\u614b\u3092\u5c11\u3057\u3060\u3051\u5909\u5316\u3055\u305b\u308b<\/li>\n\n\n\n<li>\u5909\u5316\u3059\u308b\u524d\u5f8c\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u5024\u3092\u8a08\u7b97\u3057\u3001\u5b9f\u969b\u306b\u89e3\u3092\u9077\u79fb\u3055\u305b\u308b\u304b\u6c7a\u5b9a\u3059\u308b<\/li>\n\n\n\n<li>\u4e0a\u8a18\u3092\u3059\u3079\u3066\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306b\u5bfe\u3057\u3066\u7e70\u308a\u8fd4\u3059<\/li>\n<\/ol>\n\n\n\n<p>\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u304a\u3051\u308b\u4f8b\u3092\u56f3 2 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u306f\u89e3\u306e\u72b6\u614b\u3092\u5909\u5316\u3055\u305b\u308b\u3068\u304d\u3001\u5909\u5316\u3055\u305b\u305f\u5f8c\u306e\u72b6\u614b\u304c\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306b\u306a\u3063\u3066\u3044\u308c\u3070\u5e38\u306b\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u3092\u63a2\u7d22\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u56f3 2 \u3067\u306f\u89e3\u3092\u5909\u5316\u3055\u305b\u308b\u3068\u304d\u306b 1 \u3064\u306e\u9802\u70b9\u306e\u8272\u3092\u5909\u66f4\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u3053\u306e\u5909\u66f4\u65b9\u6cd5\u306f\u9802\u70b9\u306b 1 \u8272\u3060\u3051\u5272\u308a\u5f53\u3066\u308b\u5236\u7d04\u3092\u5e38\u306b\u6e80\u305f\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/01\/image-1-1.png\" alt=\"\" class=\"wp-image-7009\" style=\"aspect-ratio:2.792207792207792;width:534px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 2 \uff1a\u30b0\u30e9\u30d5\u5f69\u8272\u306b\u304a\u3051\u308b\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306e\u30a4\u30e1\u30fc\u30b8<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u4e00\u65b9\u3067\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306f\u7e2e\u9000 (\u540c\u3058\u30a8\u30cd\u30eb\u30ae\u30fc\u5024\u3092\u6301\u3064\u72b6\u614b\u304c\u8907\u6570\u3042\u308b\u3053\u3068) \u304c\u8d77\u304d\u308b\u554f\u984c\u306b\u5bfe\u3057\u3066\u306f\u975e\u52b9\u7387\u7684\u306b\u306a\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059 ([1])\u3002\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3067\u7e2e\u9000\u304c\u8d77\u304d\u3066\u3044\u308b\u72b6\u614b\u3092\u56f3 3 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306f\u3059\u3079\u3066\u7570\u306a\u308b\u72b6\u614b\u3067\u3059\u304c\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u5024\u306f\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/01\/image-2-1024x121.png\" alt=\"\" class=\"wp-image-7010\" style=\"aspect-ratio:8.462809917355372;width:641px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 3 \uff1a\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u304a\u3051\u308b\u7e2e\u9000<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u5b9f\u306f\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306f\u7e2e\u9000\u5ea6\u304c\u9ad8\u3044\u554f\u984c\u3067\u3059\u3002\u306a\u305c\u306a\u3089\u3001\u30b0\u30e9\u30d5\u304c $q$ \u8272\u3067\u5f69\u8272\u53ef\u80fd ($q$ \u8272\u306e\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u89e3\u304c\u5b58\u5728\u3059\u308b) \u306a\u6642\u306b\u306f\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u89e3\u306e\u500b\u6570\u306f\u5c11\u306a\u304f\u3068\u3082 $q!$ \u901a\u308a\u3042\u308b\u304b\u3089\u3067\u3059\u3002\u4f8b\u3048\u3070\u56f3 3 \u306e\u4f8b\u3067\u306f 3 \u8272\u5272\u308a\u5f53\u3066\u308b\u65b9\u6cd5\u304c $3! = 6$ \u901a\u308a\u5b58\u5728\u3057\u307e\u3059\u3002\u307e\u305f\u56f3 3 \u306e\u4f8b\u306e\u3088\u3046\u306b\u9802\u70b9\u6570 $n$ \u3068 $q$ \u304c\u7b49\u3057\u3044\u3068\u304d\u306b\u8272\u306e\u5272\u308a\u5f53\u3066\u65b9\u306f $q!$ \u901a\u308a\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u304c\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u3088\u3046\u306a\u7e2e\u9000\u5ea6\u304c\u9ad8\u3044\u554f\u984c\u306b\u5bfe\u3057\u3066\u975e\u52b9\u7387\u7684\u306b\u306a\u308b\u4f8b\u3092\u56f3 4 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u56f3 4 \u3067\u306f\u521d\u671f\u72b6\u614b\u304b\u3089\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u5024\u3092\u6e1b\u5c11\u3055\u305b\u308b\u306e\u306b 3 \u56de\u8272\u306e\u5909\u66f4\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3057\u305f\u304c\u3001\u9802\u70b9\u6570\u304c\u591a\u3044\u30b0\u30e9\u30d5\u3067\u306f\u8272\u306e\u5909\u66f4\u56de\u6570\u304c\u3055\u3089\u306b\u5897\u3048\u3066\u3057\u307e\u3044\u975e\u52b9\u7387\u7684\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/01\/image-11.png\" alt=\"\" class=\"wp-image-7012\" style=\"aspect-ratio:2.1529745042492916;width:606px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 4 \uff1a\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u3067\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u89e3\u304f\u969b\u306b\u72b6\u614b\u304c\u9077\u79fb\u3059\u308b\u4f8b<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u304c\u7e2e\u9000\u5ea6\u306e\u9ad8\u3044\u554f\u984c\u306b\u5bfe\u3057\u3066\u975e\u52b9\u7387\u306b\u306a\u308b\u4e00\u65b9\u3067\u3001\u7e2e\u9000\u5ea6\u306e\u9ad8\u3044\u554f\u984c\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u304a\u3044\u3066\u306f\u6709\u5229\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u57fa\u5e95\u72b6\u614b (\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6700\u5c0f\u306b\u306a\u308b\u72b6\u614b) \u306e\u6570\u304c\u591a\u304f\u306a\u308a\u3001\u57fa\u5e95\u72b6\u614b\u306b\u5230\u9054\u3057\u3084\u3059\u304f\u306a\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%81%AB%E3%81%8A%E3%81%91%E3%82%8B%E3%83%8F%E3%83%9F%E3%83%AB%E3%83%88%E3%83%8B%E3%82%A2%E3%83%B3\"><\/span><strong>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u304a\u3051\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3053\u308c\u307e\u3067\u306f\u53e4\u5178\u7684\u306a\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u8003\u3048\u3066\u3044\u307e\u3057\u305f\u3002\u3053\u3053\u3067\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u304a\u3051\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u8003\u3048\u307e\u3059\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u304a\u3051\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306f\u6b21\u306e (6) \u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H = sH_{p} + (1 &#8211; s)H_{d} \\tag{6}<br>$$<\/p>\n\n\n\n<p>$s$ \u306f\u6642\u9593\u306b\u4f9d\u5b58\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3059\u3002$0 \\leq t \\leq T$ \u306e\u9593\u3067\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u884c\u3046\u3068\u304d\u30d1\u30e9\u30e1\u30fc\u30bf $s$ \u306f $s(0) = 0$\u3001$s(T)=1$ \u3092\u6e80\u305f\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$H_{p}$ \u306f problem Hamiltonian \u3068\u547c\u3070\u308c\u308b\u9805\u3067\u3059\u3002\u3053\u306e\u9805\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u8868\u3057\u3001\u53e4\u5178\u7684\u306a\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306b\u304a\u3051\u308b\u30a4\u30b8\u30f3\u30b0\u5909\u6570 $\\sigma_{i}^{z}$ \u3092\u30d1\u30a6\u30ea\u884c\u5217\u306e z \u6210\u5206 $\\hat{\\sigma}_{i}^{z}$ \u306b\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u3067\u5f97\u3089\u308c\u307e\u3059\u3002\u30d1\u30a6\u30ea\u884c\u5217\u306e z \u6210\u5206\u3092\u6b21\u306e (7) \u5f0f\u306b\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>$$<br>\\hat{\\sigma}_{i}^{z} = \\begin{pmatrix} 1 &amp; 0 \\\\ 0 &amp; -1 \\end{pmatrix} \\tag{7}<br>$$<\/p>\n\n\n\n<p>$H_{d}$ \u306f driver Hamiltonian \u3068\u547c\u3070\u308c\u308b\u9805\u3067\u3059\u3002\u3053\u306e\u9805\u306f\u91cf\u5b50\u52b9\u679c\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u4f8b\u3068\u3057\u3066\u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u306e driver Hamiltonian \u3092\u6b21\u306e (8) \u5f0f\u306b\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>$$<br>H_{d} = \\sum_{i=1}^{N} \\hat{\\sigma}_{i}^{x} \\tag{8}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067 $\\hat{\\sigma}_{i}^{x}$ \u306f\u30d1\u30a6\u30ea\u884c\u5217\u306e $x$ \u6210\u5206\u3067\u3001\u3053\u308c\u3092\u6b21\u306e (9) \u5f0f\u306b\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>$$<br>\\hat{\\sigma}_{i}^{x} = \\begin{pmatrix} 0 &amp; 1 \\\\ 1 &amp; 0 \\end{pmatrix} \\tag{9}<br>$$<\/p>\n\n\n\n<p>$\\hat{\\sigma}_{i}^{x}$ \u306f\u30b9\u30d4\u30f3\u306e\u5411\u304d\u3092\u53cd\u8ee2\u3055\u305b\u308b\u6027\u8cea\u304c\u3042\u308a\u307e\u3059\u3002\u4e0a\u5411\u304d\u3068\u4e0b\u5411\u304d\u306e\u30b9\u30d4\u30f3\u3092\u305d\u308c\u305e\u308c $\\ket{\\uparrow} = (1, 0)^T, \\ket{\\downarrow}=(0, 1)^T$ \u3068\u66f8\u304f\u3053\u3068\u306b\u3057\u307e\u3059\u3002\u3053\u3053\u3067 $\\ket{\\cdot}$ \u306f\u30b1\u30c3\u30c8\u3068\u547c\u3070\u308c\u3001\u5217\u30d9\u30af\u30c8\u30eb\u3067\u8868\u3055\u308c\u308b\u91cf\u5b50\u72b6\u614b\u3092\u6307\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3000$\\hat{\\sigma}_{i}^{x} \\ket{\\uparrow}_i = \\ket{\\downarrow}_i$\u3001$\\hat{\\sigma}_{i}^{x} \\ket{\\downarrow}_i = \\ket{\\uparrow}_i$ \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b driver Hamiltonian \u306f\u4e0a\u5411\u304d\u3068\u4e0b\u5411\u304d\u3092\u5165\u308c\u66ff\u3048\u306a\u304c\u3089\u89e3\u3092\u63a2\u7d22\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f $0 \\leq t \\leq T$ \u306b\u304a\u3044\u3066 $s(0)=0, s(T)=1$ \u3092\u6e80\u305f\u3059\u306e\u3067 $H(0)=H_{d}, H(T)=H_{p}$ \u3068\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u89e3\u306e\u521d\u671f\u72b6\u614b\u306f $H_{d}$ \u306e\u57fa\u5e95\u72b6\u614b\u3067\u3059\u304c\u3001$t=T$ \u3067\u306f\u89e3\u306f $H_{p}$ \u306e\u57fa\u5e95\u72b6\u614b\u3068\u306a\u308a\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u72b6\u614b\u304c\u6642\u9593\u306b\u5bfe\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u5909\u5316\u3059\u308b\u304b\u306f\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u306b\u3088\u3063\u3066\u8868\u3055\u308c\u307e\u3059\u3002\u30b7\u30e5\u30ec\u30c7\u30a3\u30f3\u30ac\u30fc\u65b9\u7a0b\u5f0f\u3092\u6b21\u306e (10) \u5f0f\u306b\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>$$<br>i \\frac{\\partial}{\\partial t} \\ket {\\psi(t)} = H(t) \\ket{\\psi(t)} \\tag{10}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067 $\\ket{\\psi(t)}$ \u306f\u7cfb\u306e\u72b6\u614b\u3067\u3001$H(t)$ \u306f\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%89%8B%E6%B3%95\"><\/span><strong>\u624b\u6cd5<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f <strong>\u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (Constrained Quantum Annealing, CQA)<\/strong> [2] \u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u3092\u7528\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u5236\u7d04\u3092\u7f70\u91d1\u9805\u3068\u3057\u3066\u52a0\u3048\u305a\u306b driver Hamiltonian \u3092\u5de5\u592b\u3059\u308b\u3053\u3068\u3067\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306b\u9650\u5b9a\u3057\u3066\u63a2\u7d22\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u308b\u624b\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u5236\u7d04\u304c\u6b21\u306e (11) \u5f0f\u306e\u5f62\u3067\u8868\u3055\u308c\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002$C$ \u306f\u4efb\u610f\u306e\u5236\u7d04\u3067\u3001$c$ \u306f\u5b9a\u6570\u884c\u5217\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$<br>C(\\{\\hat{\\sigma}_{i}^{z} \\}) = c \\tag{11}<br>$$<br>CQA \u3067\u7528\u3044\u308b driver Hamiltonian $H_{d}$ \u306f\u3053\u306e\u5236\u7d04 $C$ \u306b\u5bfe\u3057\u3066\u6b21\u306e (12) \u5f0f\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>[H_{d}, C] = H_{d}C &#8211; CH_{d} = 0 \\tag{12}<br>$$<\/p>\n\n\n\n<p>\u306a\u304a\u3053\u306e $[,]$ \u306f\u884c\u5217\u306e\u4ea4\u63db\u5b50\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3001\u4e8c\u3064\u306e\u884c\u5217 $A,B$ \u306e\u7a4d\u306e\u9806\u5e8f\u3092\u5165\u308c\u66ff\u3048\u305f\u3068\u304d\u306e\u5dee\u3092\u8868\u3057\u307e\u3059\u3002$[A,B] = AB &#8211; BA$ \u3067\u3059\u3002<\/p>\n\n\n\n<p>(12) \u5f0f\u3092\u6e80\u305f\u3059\u3068\u304d $\\frac{d}{dt} C(\\{\\hat{\\sigma}_{i}^{z} \\}) = 0$ \u3068\u306a\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059 ([1]) \u3002\u5f93\u3063\u3066\u89e3\u306e\u521d\u671f\u72b6\u614b\u304c $C(\\{\\hat{\\sigma}_{i}^{z} \\}) = c$ \u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u306a\u3089\u3070\u3059\u3079\u3066\u306e\u6642\u523b\u306b\u5bfe\u3057\u3066 $C(\\{\\hat{\\sigma}_{i}^{z} \\}) = c$ \u3092\u6e80\u305f\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>CQA \u3067\u306f\u3053\u306e\u3088\u3046\u306b\u3057\u3066\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306e\u307f\u306b\u9650\u5b9a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u4efb\u610f\u306e $C$ \u306b\u5bfe\u3057\u3066 (12) \u5f0f\u3092\u6e80\u305f\u3059 $H_{d}$ \u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u5236\u7d04\u3092\u6b21\u306e (13) \u5f0f\u306b\u9650\u5b9a\u3057\u305f\u5f62\u3067\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ <br>\\sum_{i=1}^{N} \\hat{\\sigma}_{i}^{z} = c \\tag{13} <br>$$<\/p>\n\n\n\n<p>\u5b9f\u306f $H_{d}$ \u3068\u3057\u3066 (14) \u5f0f\u3092\u9078\u3076\u3068\u3001(13) \u5f0f\u306e\u5236\u7d04\u306b\u5bfe\u3057\u3066 (12) \u5f0f\u3092\u6e80\u305f\u3059\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H_{d} = -J\\sum_{i,j} (\\hat{\\sigma}_{i}^{x} \\hat{\\sigma}_{j}^{x} + \\hat{\\sigma}_{i}^{y} \\hat{\\sigma}_{j}^{y}) \\tag{14}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067 $\\hat{\\sigma}_{i}^{y}$ \u306f\u30d1\u30a6\u30ea\u884c\u5217\u306e $y$ \u6210\u5206\u3067\u3001\u3053\u308c\u3092\u6b21\u306e (15) \u5f0f\u306b\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>$$<br>\\hat{\\sigma}_{i}^{y} = \\begin{pmatrix} 0 &amp; -i \\\\ i &amp; 0 \\end{pmatrix} \\tag{15}<br>$$<\/p>\n\n\n\n<p>\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u5236\u7d04\u306f (3) \u5f0f\u3067\u8868\u3055\u308c\u3001\u3053\u308c\u306f (13) \u5f0f\u306e\u5f62\u3092\u6e80\u305f\u3057\u3066\u3044\u307e\u3059\u3002\u3088\u3063\u3066\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u304a\u3051\u308b CQA \u306e $H_{d}$ \u306f\u6b21\u306e (16) \u5f0f\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067 $J$ \u306f\u5b9a\u6570\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H_{d} = -J\\sum_{i=1}^{N} \\sum_{a,b} (\\hat{\\sigma}_{i,a}^{x} \\hat{\\sigma}_{j,b}^{x} + \\hat{\\sigma}_{i,a}^{y} \\hat{\\sigma}_{j,b}^{y}) \\tag{16}<br>$$<\/p>\n\n\n\n<p>CQA \u3067\u306f\u89e3\u306e\u521d\u671f\u72b6\u614b\u3001\u3064\u307e\u308a driver Hamiltonian \u306e\u57fa\u5e95\u72b6\u614b\u304c\u5236\u7d04\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u306a\u305c\u306a\u3089 CQA \u306f\u6642\u9593\u306b\u5bfe\u3057\u3066\u5236\u7d04 $C$ \u306e\u5024\u304c\u5909\u5316\u3057\u306a\u3044\u3053\u3068\u3092\u5229\u7528\u3059\u308b\u306e\u3067\u521d\u671f\u72b6\u614b\u304c\u5236\u7d04\u3092\u6e80\u305f\u3057\u3066\u3044\u306a\u3044\u3068\u6700\u7d42\u7684\u306b\u5f97\u3089\u308c\u308b\u89e3\u3082\u5236\u7d04\u3092\u6e80\u305f\u3055\u306a\u304f\u306a\u308b\u304b\u3089\u3067\u3059\u3002\u4e00\u65b9\u3067 (15) \u5f0f\u306e $H_{d}$ \u306f\u57fa\u5e95\u72b6\u614b\u304c\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306e\u5236\u7d04\u3092\u6e80\u305f\u3057\u3066\u3044\u307e\u305b\u3093\u3002\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u3067\u306f\u4ee5\u4e0b\u306e(17) \u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u9805\u3092 driver Hamiltonian \u306b\u5bfe\u3057\u3066\u52a0\u3048\u308b\u3053\u3068\u3067\u6700\u7d42\u7684\u306a\u72b6\u614b\u304c\u89e3\u306e\u5236\u7d04\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u3082\u306e\u306b\u9650\u5b9a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H_{aux} = \\sum_{j} B_{j} C_{j}(\\{\\hat{\\sigma}_{i}^{z}\\}) \\tag{17}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u5236\u7d04\u304c\u8907\u6570\u500b\u3042\u308b\u306e\u3067\u305d\u308c\u305e\u308c\u306e\u5236\u7d04\u3092 $C_{j}$ \u3068\u8868\u3057\u307e\u3057\u305f\u3002$B_{j}$ \u306f\u5404\u5236\u7d04\u306b\u304b\u304b\u308b\u4fc2\u6570\u3067\u3042\u308a\u3001\u3053\u308c\u306f\u9069\u5207\u306b\u9078\u629e\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u304c\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u5bfe\u3059\u308b CQA \u306e driver Hamiltonian \u3067\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3067\u306f problem Hamiltonian \u306b\u3064\u3044\u3066\u8003\u3048\u307e\u3059\u3002\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u5bfe\u3059\u308b problem Hamiltonian \u306f\u6b21\u306e (18) \u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002(18) \u5f0f\u306f (2) \u5f0f\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306b\u5bfe\u3057\u3066\u5b9a\u6570\u9805\u306a\u3069\u3092\u9664\u3044\u305f\u3082\u306e\u3067\u3059\u3002\u306a\u304a(2) \u5f0f\u306f\u53e4\u5178\u7684\u306a\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3067\u3042\u308a\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u30a4\u30b8\u30f3\u30b0\u5909\u6570\u3092\u30d1\u30a6\u30ea\u884c\u5217\u306b\u7f6e\u304d\u63db\u3048\u308b\u3053\u3068\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$<br>H_{p} = J \\sum_{(ij) \\in E} \\sum_{a=1}^{q} \\hat{\\sigma}_{i,a}^{z} \\hat{\\sigma}_{j,a}^{z} \\tag{18}<br>$$<\/p>\n\n\n\n<p>\u57fa\u5e95\u72b6\u614b\u306b\u5bfe\u3059\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u5024 $E_{0}$ \u306f\u6b21\u306e (19) \u5f0f\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>E_{0} = m \\times \\{ (q-2) \\times 1 + 1 \\times (-1) + 1 \\times (-1) \\} = m(q-4) \\tag{19}<br>$$<\/p>\n\n\n\n<p>\u3053\u308c\u306f $m$ \u672c\u306e\u5404\u8fba $(i, j)$ \u306b\u5bfe\u3057\u3066\u9802\u70b9 $i$ \u3068\u9802\u70b9$j$ \u3069\u3061\u3089\u306b\u3082\u5272\u308a\u5f53\u3066\u3089\u308c\u306a\u3044 $\\sigma_{i,a}=\\sigma_{j,a}=1$ \u3068\u306a\u308b\u8272\u304c $q-2$ \u8272\u3042\u308a\u3001\u9802\u70b9 $i$ \u306b\u3060\u3051\u5272\u308a\u5f53\u3066\u3089\u308c\u308b$\\sigma_{i,a}=1,\\sigma_{j,a}=1$ \u3068\u306a\u308b\u8272\u304c 1 \u8272\u3042\u308a\u3001\u9802\u70b9$j$\u306b\u3060\u3051\u5272\u308a\u5f53\u3066\u3089\u308c\u308b$\\sigma_{i,a}=-1,\\sigma_{j,a}=1$ \u3068\u306a\u308b\u8272\u304c 1 \u8272\u3042\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n\n\n\n<p>CQA \u306f\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u72b6\u614b\u306e\u307f\u306b\u9650\u5b9a\u3059\u308b\u306e\u3067\u3001\u63a2\u7d22\u3059\u308b\u5fc5\u8981\u306e\u3042\u308b\u72b6\u614b\u6570\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (QA) \u3088\u308a\u3082\u6e1b\u3089\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f QA \u3067\u306f\u9802\u70b9\u6570\u3092 $N$ \u3068\u3059\u308b\u3068 $2^{Nq}$ \u500b\u306e\u72b6\u614b\u3092\u63a2\u7d22\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u304c\u3001CQA \u3067\u306f $q^{N}$ \u500b\u306e\u72b6\u614b\u3092\u63a2\u7d22\u3059\u308b\u3060\u3051\u3067\u6e08\u307f\u307e\u3059\u3002\u3053\u306e\u305f\u3081 CQA \u3067\u306f QA \u3088\u308a\u3082\u57fa\u5e95\u72b6\u614b\u306b\u5230\u9054\u3057\u3084\u3059\u304f\u306a\u308b\u3053\u3068\u304c\u671f\u5f85\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93\"><\/span><strong>\u5b9f\u9a13<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f CQA \u3092\u6570\u5024\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3057\u3066\u5b9f\u9a13\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6570\u5024\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306f 4 \u6b21\u5143\u30eb\u30f3\u30b2\u30af\u30c3\u30bf\u6cd5\u3068\u547c\u3070\u308c\u308b\u6570\u5024\u8a08\u7b97\u6cd5\u3092\u7528\u3044\u3066\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5b9f\u9a13\u306b\u7528\u3044\u308b\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306f\u4ee5\u4e0b\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3057\u305f\u3082\u306e\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u751f\u6210\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8272\u306e\u6570\uff1a4<\/li>\n\n\n\n<li>\u9802\u70b9\u306e\u6570\uff1a6<\/li>\n\n\n\n<li>\u96a3\u63a5\u3059\u308b\u9802\u70b9\u306e\u6570\uff1a3<\/li>\n<\/ul>\n\n\n\n<p>driver Hamiltonian \u306b\u3064\u3044\u3066 (16) \u5f0f\u306e $a,b$ \u306e\u9078\u3073\u65b9\u306f\u4ee5\u4e0b\u306e\u4e8c\u3064\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>nearest-neighbor type (NN type)\uff1a$b=a+1$<\/li>\n\n\n\n<li>full-chain type (FC type)\uff1a$b&gt;a$<\/li>\n<\/ul>\n\n\n\n<p>\u307e\u305f\u5f0f (6) \u306e\u30d1\u30e9\u30e1\u30fc\u30bf $s(t)$ \u306f\u4ee5\u4e0b\u306e\u4e8c\u3064\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>linear annealing\uff1a$s(t)=t\/\\tau_{\\text{li}}, T=\\tau_{\\text{li}}$<\/li>\n\n\n\n<li>exponential annealing\uff1a$s(t)=1-\\exp(t\/\\tau_{\\text{ex}}), T=15\\tau_{\\text{ex}}$<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_1\"><\/span><strong>\u8a55\u4fa1\u6307\u6a19 1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u672c\u5b9f\u9a13\u3067\u306f\u4e8c\u3064\u306e\u8a55\u4fa1\u6307\u6a19\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u4e00\u3064\u76ee\u306e\u8a55\u4fa1\u6307\u6a19\u306f residual energy \u3067\u3059\u3002\u3053\u306e\u8a55\u4fa1\u6307\u6a19\u3067\u306f\u6700\u7d42\u7684\u306a\u89e3\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u57fa\u5e95\u72b6\u614b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5dee\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u4ee5\u4e0b\u306e (20) \u5f0f\u3067\u5b9a\u5f0f\u5316\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067 $\\psi$ \u306f\u6700\u7d42\u7684\u306a\u89e3\u306e\u72b6\u614b\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>E_{res} = \\bra{\\psi} H_{p} \\ket{\\psi} \u2212 E_{0} \\tag{20}<br>$$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_1-%E7%B5%90%E6%9E%9C\"><\/span><strong> \u8a55\u4fa1\u6307\u6a19 1-\u7d50\u679c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u8a55\u4fa1\u6307\u6a19\u3068\u3057\u3066 residual energy \u3092\u7528\u3044\u305f\u6642\u306e\u5b9f\u9a13\u7d50\u679c\u3092\u56f3 5 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u4e0a\u306e\u56f3 5 (a) \u304c linear annealing \u3092\u7528\u3044\u305f\u6642\u3001\u4e0b\u306e\u56f3 5 (b) \u304c exponential annealing \u3092\u7528\u3044\u305f\u6642\u306e\u7d50\u679c\u3067\u3059\u3002\u7e26\u8ef8\u304c residual energy \u306e\u5024\u3001\u6a2a\u8ef8\u306f\u5f0f (5) \u3067\u51fa\u3066\u304d\u305f\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u8981\u3059\u308b\u6642\u9593\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/tc_lin.png\" alt=\"\" class=\"wp-image-7137\"\/><figcaption class=\"wp-element-caption\">\u56f3 5 (a)\uff1alinear annealing \u3092\u7528\u3044\u305f\u6642\u306e residual energy (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/tc_exp.png\" alt=\"\" class=\"wp-image-7136\"\/><figcaption class=\"wp-element-caption\">\u56f3 5 (b)\uff1aexponential annealing \u3092\u7528\u3044\u305f\u6642\u306e residual energy (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>linear annealing \u3067\u306f\u3000$\\tau_{li}$ \u3092\u5927\u304d\u304f\u3059\u308b\u3068 NN \u3068 FC \u3069\u3061\u3089\u3082 residual energy \u306f\u6e1b\u5c11\u3057\u307e\u3057\u305f\u3002\u307e\u305f NN \u306e\u65b9\u304c FC \u3088\u308a\u3082 residual energy \u304c\u5c0f\u3055\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3067 exponential annealing \u3067\u306f $\\tau_{\\text{ex}}$ \u3092\u5927\u304d\u304f\u3059\u308b\u3068 FC \u306e residual energy \u306f\u6e1b\u5c11\u3057\u307e\u3057\u305f\u304c\u3001NN \u306e residual energy \u306f\u5927\u304d\u3044\u307e\u307e\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_2\"><\/span><strong>\u8a55\u4fa1\u6307\u6a19 2<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e8c\u3064\u76ee\u306e\u8a55\u4fa1\u6307\u6a19\u306f success probability \u3067\u3059\u3002\u3053\u308c\u306f\u57fa\u5e95\u72b6\u614b\u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>success probability \u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u306f\u307e\u305a\u89e3\u306e\u72b6\u614b\u3092\u6b21\u306e (21) \u5f0f\u306e\u3088\u3046\u306b\u5bfe\u89d2\u5316\u3057\u307e\u3059\u3002\u3053\u3053\u3067 $\\ket{i}$ \u306f\u9802\u70b9\u306b\u5272\u308a\u5f53\u3066\u3089\u308c\u305f\u8272\u306e\u7d44\u5408\u305b\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\ket{\\psi} = \\sum_{i} c_{i} \\ket{i} \\tag{21}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u72b6\u614b $\\ket{i}$ \u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u3067 $|c_{i}|^{2}$ \u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3088\u3063\u3066\u57fa\u5e95\u72b6\u614b\u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u306f\u30af\u30ed\u30cd\u30c3\u30ab\u30fc\u306e\u30c7\u30eb\u30bf $\\delta$ \u3092\u7528\u3044\u3066\u6b21\u306e (22) \u5f0f\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>p_{suc} = \\sum_{i} \\delta(\\bra{i} H_{p} \\ket{i}, E_{0}) \\tag{22}<br>$$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99_2-%E7%B5%90%E6%9E%9C\"><\/span><strong> \u8a55\u4fa1\u6307\u6a19 2-\u7d50\u679c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u8a55\u4fa1\u6307\u6a19\u3068\u3057\u3066 success probability \u3092\u7528\u3044\u305f\u6642\u306e\u5b9f\u9a13\u7d50\u679c\u3092\u56f3 6 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u4e0a\u306e\u56f3 6 (a) \u304c linear annealing \u3092\u7528\u3044\u305f\u6642\u3001\u4e0b\u306e\u56f3 6 (b) \u304c exponential annealing \u3092\u7528\u3044\u305f\u6642\u306e\u7d50\u679c\u3067\u3059\u3002\u7e26\u8ef8\u304c success probability  \u306e\u5024\u3001\u6a2a\u8ef8\u306f\u5f0f (5) \u3067\u51fa\u3066\u304d\u305f\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u8981\u3059\u308b\u6642\u9593\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/tp_lin.png\" alt=\"\" class=\"wp-image-7138\" style=\"aspect-ratio:2.3961661341853033;width:840px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 6 (a)\uff1alinear annealing \u3092\u7528\u3044\u305f\u6642\u306e success probability (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/tp_exp.png\" alt=\"\" class=\"wp-image-7139\" style=\"aspect-ratio:2.3961661341853033;width:750px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 6 (b)\uff1aexponential annealing \u3092\u7528\u3044\u305f\u6642\u306e success probability (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>linear annealing \u3067\u306f $\\tau_{\\text{li}}$ \u3092\u5927\u304d\u304f\u3059\u308b\u3068 NN type \u3068 FC type \u3069\u3061\u3089\u3082 success probability \u306f\u5897\u52a0\u3057\u307e\u3057\u305f\u3002\u307e\u305f $\\tau_{\\text{li}}$ \u304c\u5c0f\u3055\u3044\u3068\u304d\u3067\u306f NN type \u306e\u65b9\u304c FC type \u3088\u308a\u3082 success probability \u304c\u9ad8\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3067 exponential annealing \u3067\u306f $\\tau_{\\text{ex}}$ \u3092\u5927\u304d\u304f\u3059\u308b\u3068 FC type \u306e success probability \u306f\u5897\u52a0\u3057\u307e\u3057\u305f\u304c\u3001NN type \u306e success probability \u306f\u4f4e\u3044\u307e\u307e\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93%E7%B5%90%E6%9E%9C%E3%81%AE%E3%81%BE%E3%81%A8%E3%82%81\"><\/span><strong>\u5b9f\u9a13\u7d50\u679c\u306e\u307e\u3068\u3081<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u6b21\u306e\u4e8b\u5b9f\u304c\u6210\u7acb\u3059\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067 $\\phi_{0}(s)$ \u306f\u57fa\u5e95\u72b6\u614b\u3001$\\phi_{1}(s)$ \u306f\u7b2c\u4e00\u52b1\u8d77\u72b6\u614b\u3001$\\Delta_{g}(s)$ \u306f $\\phi_{0}(s)$ \u3068 $\\phi_{1}(s)$ \u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5dee\u3067\u3059\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u6642\u9593 $T$ \u304c\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u3068\u304d\u3001\u52b1\u8d77\u72b6\u614b\u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u306f\u5341\u5206\u5c0f\u3055\u3044\u3002\u3053\u3053\u3067 $s$ \u306f\u6642\u9593\u306b\u95a2\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3042\u308a $s=\\frac{t}{T}$ \u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>$$<br>T \\gg \\frac{\\max_{0 \\leq s \\leq 1}|\\bra{\\phi_{1}(s)} \\frac{dH(s)}{ds}\\ket{\\phi_{0}(s)} |}{\\min_{0 \\leq s \\leq 1} \\Delta_{g}^{2}(s)} \\tag{23}<br>$$<\/p>\n<cite><a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a><\/cite><\/blockquote>\n\n\n\n<p>\u4e0a\u306e\u4e8b\u5b9f\u304b\u3089 $\\Delta_{g}(s)$ \u304c\u5927\u304d\u3051\u308c\u3070 $T$ \u304c\u5c0f\u3055\u304f\u3066\u3082\u52b1\u8d77\u72b6\u614b\u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u304c\u5c0f\u3055\u304f\u306a\u308b\u306e\u3067\u57fa\u5e95\u72b6\u614b\u3092\u6c42\u3081\u3084\u3059\u304f\u306a\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u3067\u672c\u7ae0\u306e\u521d\u3081\u306b\u793a\u3057\u305f driver Hamiltonian \u306e type\u3067\u3042\u308b NN type \u3068 FC type \u306b\u3064\u3044\u3066 $\\Delta_{g}(s)$ \u306e\u5024\u3092\u305d\u308c\u305e\u308c\u6c42\u3081\u308b\u3068\u56f3 7 \u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/01\/image-6.png\" alt=\"\" class=\"wp-image-7023\"\/><figcaption class=\"wp-element-caption\">\u56f3 7\uff1aNN type \u3068 FC type \u306e $\\Delta_{g}(s)$ (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 7 \u304b\u3089 FC type \u306e\u65b9\u304c $\\Delta_{g}(s)$ \u306e\u5024\u304c\u5927\u304d\u304f\u306a\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u3088\u3063\u3066 FC type \u306f NN type \u3068\u6bd4\u3079\u3066\u57fa\u5e95\u72b6\u614b\u3092\u898b\u3064\u3051\u3084\u3059\u3044\u3053\u3068\u304c\u671f\u5f85\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3067\u5b9f\u9a13\u3067\u306f linear annealing \u3092\u7528\u3044\u305f\u6642\u306b\u8a55\u4fa1\u6307\u6a19\u304c residual energy \u3068 success probability \u306e\u3069\u3061\u3089\u306e\u6642\u3067\u3082 NN type \u306e\u65b9\u304c\u6027\u80fd\u304c\u826f\u304f\u306a\u308a\u3001\u300cFC type \u306e\u65b9\u304c NN type \u3088\u308a\u3082\u57fa\u5e95\u72b6\u614b\u3092\u898b\u3064\u3051\u3084\u3059\u3044\u300d\u3068\u3044\u3046\u4e88\u60f3\u306b\u5bfe\u3057\u3066\u53cd\u3057\u3066\u3044\u308b\u7d50\u679c\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%80%83%E5%AF%9F\"><\/span><strong>\u8003\u5bdf<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3053\u3053\u304b\u3089\u306f linear annealing \u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u4e88\u60f3\u3068\u53cd\u3057\u305f\u7d50\u679c\u304c\u5f97\u3089\u308c\u305f\u7406\u7531\u306b\u3064\u3044\u3066\u8003\u5bdf\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u8003\u5bdf\u3067\u306f\u56f3 8 \u306b\u793a\u3057\u305f\u4e8c\u3064\u306e\u30b0\u30e9\u30d5\u306b\u6ce8\u76ee\u3057\u307e\u3059\u3002\u3053\u306e\u4e8c\u3064\u306e\u30b0\u30e9\u30d5\u3092\u7528\u3044\u3066\u5b9f\u9a13\u306e\u3068\u304d\u540c\u69d8 4 \u8272\u306e\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u5bfe\u3057\u3066 linear annealing \u3092\u7528\u3044\u3066 CQA \u3092\u5b9f\u884c\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/graph-1024x535.png\" alt=\"\" class=\"wp-image-7135\"\/><figcaption class=\"wp-element-caption\">\u56f38\uff1a\u8003\u5bdf\u306b\u7528\u3044\u308b\u30b0\u30e9\u30d5 (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u30b0\u30e9\u30d5 (b) \u306f\u30b0\u30e9\u30d5 (a) \u3088\u308a\u3082\u8fba\u306e\u6570\u304c\u591a\u304f\u3001\u7e2e\u9000\u5ea6\u304c\u4f4e\u3044\u3067\u3059\u3002\u3064\u307e\u308a\u30b0\u30e9\u30d5 (b) \u306f\u30b0\u30e9\u30d5 (a) \u3088\u308a\u57fa\u5e95\u72b6\u614b\u306e\u6570\u304c\u5c11\u306a\u3044\u305f\u3081\u3001\u57fa\u5e95\u72b6\u614b\u3092\u5f97\u306b\u304f\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>CQA \u306e\u30d1\u30e9\u30e1\u30fc\u30bf $s$ \u306f\u4e0a\u8a18\u306e\u5b9f\u9a13\u306e\u540c\u3058\u3082\u306e\u3092\u7528\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u3001<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>linear annealing\uff1a$s(t)=t\/\\tau_{\\text{li}}, T=\\tau_{\\text{li}}$<\/li>\n<\/ul>\n\n\n\n<p>\u3067\u3059\u3002\u307e\u305f $\\tau_{\\text{li}} = 20$ \u306f $\\tau_{\\text{li}} = 20$ \u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A9%95%E4%BE%A1%E6%8C%87%E6%A8%99\"><\/span><strong>\u8a55\u4fa1\u6307\u6a19<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u8003\u5bdf\u3067\u7528\u3044\u308b\u8a55\u4fa1\u6307\u6a19\u306f ground-state population \u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3059\u3002\u3053\u308c\u306f\u5b9f\u9a13\u306e\u6642\u306b\u8a55\u4fa1\u6307\u6a19\u3068\u3057\u3066\u7528\u3044\u305f success probability \u304c\u6700\u7d42\u7684\u306b\u5f97\u3089\u308c\u305f\u72b6\u614b\u3067\u57fa\u5e95\u72b6\u614b\u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u3067\u5408\u3063\u305f\u306e\u306b\u5bfe\u3057\u3001ground-state population \u3067\u306f\u5404 $s$ \u3067\u57fa\u5e95\u72b6\u614b\u304c\u89b3\u6e2c\u3055\u308c\u308b\u78ba\u7387\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u6b21\u5f0f\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067 $\\phi_{0}(s)$ \u306f\u5404 $s$ \u306e\u57fa\u5e95\u72b6\u614b\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>f_{g}(s) = \\braket{\\phi_{0}(s)|\\phi_{0}(s)} \\tag{24}<br>$$<\/p>\n\n\n\n<p>\u306a\u304a\u7406\u60f3\u7684\u306b\u306f\u5e38\u306b $f_{g}(s)=1$ \u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C\"><\/span><strong>\u7d50\u679c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u8a55\u4fa1\u6307\u6a19\u3068\u3057\u3066 the ground-state population \u3092\u7528\u3044\u305f\u6642\u306e\u5b9f\u9a13\u7d50\u679c\u3092\u56f3 9 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u4e0a\u306e\u56f3 9 (a) \u304c\u56f3 8 (a) \u306e\u30b0\u30e9\u30d5\u306b\u5bfe\u3059\u308b\u7d50\u679c\u3001\u4e0b\u306e\u56f3 9 (b) \u304c\u56f3 8(b) \u306e\u30b0\u30e9\u30d5\u306b\u5bfe\u3059\u308b\u7d50\u679c\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/t_pg09.png\" alt=\"\" class=\"wp-image-7141\" style=\"aspect-ratio:2.3961661341853033;width:840px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 9 (a)\uff1a\u56f3 8 (a) \u306e\u30b0\u30e9\u30d5\u3092\u7528\u3044\u305f\u6642\u306e the ground-state population (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/t_pg12.png\" alt=\"\" class=\"wp-image-7142\" style=\"aspect-ratio:2.3961661341853033;width:840px;height:auto\"\/><figcaption class=\"wp-element-caption\">\u56f3 9 (b)\uff1a\u56f3 8 (b) \u306e\u30b0\u30e9\u30d5\u3092\u7528\u3044\u305f\u6642\u306e the ground-state population (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>NN type \u306e\u3068\u304d$s = 1 $ \u306e\u76f4\u524d\u3067 (a) \u3067\u306f $f_g (s) \\cong 0.9$\u3001(b) \u306e $f_g (s)$ \u306f\u305d\u308c\u4ee5\u4e0b\u307e\u3067 $f_g$ \u306e\u5024\u304c\u5c0f\u3055\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3067 FC type \u3067\u306f (a)\u3001(b) \u3068\u3082\u306b $f_g (s)$ \u306f\u9ad8\u304f\u306a\u308a\u307e\u3057\u305f\u3002FC type \u306e\u65b9\u304c $\\Delta_{g}^{2} (s)$ \u304c\u5927\u304d\u3044\u3053\u3068\u3092\u8003\u3048\u308b\u3068\u3001\u3053\u306e\u7d50\u679c\u306f (23) \u5f0f\u304b\u3089\u8003\u3048\u305f\u300cFC type \u306e\u65b9\u304c NN type \u3088\u308a\u3082\u57fa\u5e95\u72b6\u614b\u3092\u898b\u3064\u3051\u3084\u3059\u304f\u306a\u308b\u300d\u3068\u3044\u3046\u4e88\u60f3\u3068\u4e00\u81f4\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f NN type \u3067\u306f (a) \u3068 (b) \u306e\u3069\u3061\u3089\u3082 $s=1$ \u306e\u3068\u304d $f_g (s)$ \u306f $f_g (1)=1$ \u306b\u6025\u6fc0\u306b\u4e0a\u6607\u3057\u3066\u3044\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u30b0\u30e9\u30d5 (a) \u3068\u30b0\u30e9\u30d5 (b) \u3069\u3061\u3089\u3082\u57fa\u5e95\u72b6\u614b\u304c\u7e2e\u9000\u3057\u3066\u304a\u308a\u3001$s=1$ \u306e\u3068\u304d\u306b\u52b1\u8d77\u72b6\u614b\u304c\u8907\u6570\u306e\u57fa\u5e95\u72b6\u614b\u306e\u3069\u308c\u304b\u306b\u5438\u53ce\u3055\u308c\u305f\u304b\u3089\u3060\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30b0\u30e9\u30d5 (b) \u306b\u3064\u3044\u3066 $s=0.8,0.9,1.0$ \u306e\u3068\u304d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5206\u5e03\u3092\u56f3 11 \u306b\u793a\u3057\u307e\u3057\u305f\u3002\u5de6 (a) \u304c NN type\u306e\u3068\u304d\u3001\u53f3 (b) \u304c FC type \u306e\u6642\u306e\u7d50\u679c\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2024\/03\/kousatu-1.png\" alt=\"\" class=\"wp-image-7144\"\/><figcaption class=\"wp-element-caption\">\u56f3 10 \uff1a\u30b0\u30e9\u30d5 (b) \u306e $s = 0.8, 0.9, 1.0$ \u306b\u304a\u3051\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5206\u5e03 ((a) \u304c NN type\u3001(b) \u304c FC type) (<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1806.05782\">https:\/\/doi.org\/10.48550\/arXiv.1806.05782<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>$s=0.8$ \u306e\u3068\u304d\u306f NN type \u3068 FC type \u3067\u4f3c\u305f\u3088\u3046\u306a\u5206\u5e03\u3067\u3057\u305f\u3002$s=0.9$ \u306e\u3068\u304d NN type \u3068 FC type \u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001NN type\u3067\u306f\u57fa\u5e95\u72b6\u614b\u306b\u975e\u5e38\u306b\u8fd1\u3044\u304c\u57fa\u5e95\u72b6\u614b\u3067\u306f\u306a\u3044\u90e8\u5206\u306e\u5206\u5e03\u304c\u9ad8\u304f\u306a\u308a\u307e\u3057\u305f\u3002$s=1.0$ \u3067\u306f NN type \u3068 FC type \u3069\u3061\u3089\u3082\u52b1\u8d77\u72b6\u614b\u304c\u57fa\u5e95\u72b6\u614b\u306b\u5438\u53ce\u3055\u308c\u3066\u304a\u308a\u3001\u3053\u308c\u306f\u56f3 9 \u3067 $f_{g}(1)=1$ \u3068\u306a\u3063\u305f\u3053\u3068\u3068\u4e00\u81f4\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%80%83%E5%AF%9F%EF%BC%9ANN_type_%E3%81%8CFC_type%E3%82%88%E3%82%8A_residual_energy_%E3%81%8C%E5%B0%8F%E3%81%95%E3%81%8F%E3%81%AA%E3%81%A3%E3%81%9F%E7%90%86%E7%94%B1\"><\/span><strong>\u8003\u5bdf\uff1aNN type \u304cFC type\u3088\u308a residual energy \u304c\u5c0f\u3055\u304f\u306a\u3063\u305f\u7406\u7531<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4ee5\u4e0a\u3092\u8e0f\u307e\u3048\u3066 linear annealing \u3067 FC type \u3088\u308a NN type \u306e\u65b9\u304c residual energy \u304c\u5c0f\u3055\u304f\u306a\u3063\u305f\u7406\u7531\u3092\u8003\u5bdf\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u56f3 10 \u306b\u7740\u76ee\u3059\u308b\u3068 $s=0.9$ \u3067\u306f NN type \u3068 FC type \u3069\u3061\u3089\u3082\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u306f\u57fa\u5e95\u72b6\u614b\u30682\u3064\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u30d0\u30f3\u30c9\u304c\u5b58\u5728\u3057\u3066\u3044\u307e\u3059\u3002NN type \u3067\u306f FC type \u3088\u308a\u3082<strong>\u57fa\u5e95\u72b6\u614b\u3068\u7b2c\u4e00\u52b1\u8d77\u72b6\u614b\u9593\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u30ae\u30e3\u30c3\u30d7<\/strong> $\\Delta_{g}(s)$ \u304c\u5c0f\u3055\u304f\u306a\u308a\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u306a\u304c\u3089 FC type \u306e\u5834\u5408\u3067\u306f<strong>\u30a8\u30cd\u30eb\u30ae\u30fc\u30d0\u30f3\u30c9\u9593\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u30ae\u30e3\u30c3\u30d7<\/strong>\u304c NN type \u3088\u308a\u3082\u5c0f\u3055\u304f\u306a\u308a\u307e\u3057\u305f\u3002\u3053\u308c\u306f NN type \u3088\u308a FC type \u306e\u65b9\u304c\u6700\u7d42\u7684 ($s = 1$ \u306e\u3068\u304d) \u306b\u4ed6\u306e\u52b1\u8d77\u72b6\u614b\u306b\u5438\u53ce\u3055\u308c\u308b\u3088\u3046\u306a\u52b1\u8d77\u72b6\u614b\u306b\u5e83\u304c\u308a\u3084\u3059\u304f\u306a\u308b\u3053\u3068\u3092\u793a\u5506\u3057\u3066\u3044\u307e\u3059\u3002 \u3053\u306e\u7d50\u679c\u3068\u3057\u3066 FC type \u3067\u306f\u9ad8\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u306e\u5206\u5e03\u304c\u5e83\u304c\u308b\u306e\u3067 residual energy \u304c NN type \u3088\u308a\u3082\u5927\u304d\u304f\u306a\u3063\u305f\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span><strong>\u7d50\u8ad6<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f CQA \u3067\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u89e3\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>CQA \u306f\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306e\u307f\u3092\u63a2\u7d22\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u306e\u3067\u901a\u5e38\u306e QA \u3088\u308a\u3082\u63a2\u7d22\u3059\u308b\u5fc5\u8981\u306e\u3042\u308b\u72b6\u614b\u306e\u6570\u304c\u6e1b\u5c11\u3057\u57fa\u5e95\u72b6\u614b\u306b\u5230\u9054\u3057\u3084\u3059\u304f\u306a\u308b\u3053\u3068\u304c\u671f\u5f85\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5b9f\u9a13\u3067\u306f driver Hamiltonian \u3068\u3057\u3066 NN type \u3068 FC type \u3092\u7528\u3044\u305f\u5834\u5408\u3092\u6bd4\u8f03\u3057\u307e\u3057\u305f\u3002\u7d50\u679c\u306f linear annealing \u3067 NN type \u306e\u65b9\u304c FC type \u3088\u308a\u3082\u6027\u80fd\u304c\u826f\u304f\u306a\u308a\u3001\u3053\u308c\u306f\u4e88\u60f3\u3068\u53cd\u3057\u305f\u7d50\u679c\u3068\u306a\u308a\u307e\u3057\u305f<\/p>\n\n\n\n<p>\u3053\u308c\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u307e\u3060\u77e5\u3089\u308c\u3066\u3044\u306a\u3044\u7279\u6027\u3092\u660e\u3089\u304b\u306b\u3059\u308b\u53ef\u80fd\u6027\u3092\u793a\u5506\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span><strong>\u3042\u3068\u304c\u304d<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>driver Hamiltonian \u3092\u5de5\u592b\u3059\u308b\u3053\u3068\u3067\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306e\u307f\u306b\u9650\u5b9a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u70b9\u304c\u9762\u767d\u3044\u3068\u611f\u3058\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>exponential annealing \u3067\u306fNN type \u3092\u7528\u3044\u305f\u3068\u304d\u6027\u80fd\u304c FC type \u3068\u6bd4\u3079\u308b\u3068\u8457\u3057\u304f\u60aa\u304f\u306a\u3063\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u3053\u306e\u539f\u56e0\u306e\u8003\u5bdf\u306b\u8208\u5473\u304c\u308f\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u307e\u305f CQA \u3068\u901a\u5e38\u306e QA \u3067\u5b9f\u969b\u306e\u6700\u9069\u5316\u6027\u80fd\u306e\u5dee\u306b\u3064\u3044\u3066\u3082\u8208\u5473\u3092\u611f\u3058\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E4%BD%9C%E6%88%90%E8%80%85\"><\/span>\u672c\u8a18\u4e8b\u306e\u4f5c\u6210\u8005<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u57f7\u7b46\u8005\uff1a\u539f\u77e5\u6b63<\/p>\n\n\n\n<p>\u30e1\u30f3\u30bf\u30fc \uff1a\u5c0f\u5ddd \u7acb\u8aa0<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\"><\/span><strong>\u53c2\u8003\u6587\u732e<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>[1]\uff1aKenichi Kurihara, Shu Tanaka, Seiji Miyashita, &#8220;Quantum Annealing for Clustering&#8221;, <a href=\"https:\/\/doi.org\/10.48550\/arXiv.1408.2035%20Focus%20to%20learn%20more\">https:\/\/doi.org\/10.48550\/arXiv.1408<\/a><a href=\"https:\/\/doi.org\/10.48550\/arXiv.1408.2035\">.2035<\/a><\/p>\n\n\n\n<p>[2] : Itay Hen, Federico M. Spedalieri, &#8220;Quantum Annealing for Constrained Optimization&#8221;,<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1508.04212\">https:\/\/doi.org\/10.48550\/arXiv.1508.04212<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u5236\u7d04\u306f\u7f70\u91d1\u9805\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u3057\u304b\u3057\u3053\u306e\u624b\u6cd5\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (QA) \u306e\u6027\u80fd\u3092\u843d\u3068\u3057\u3066\u3057\u307e\u3046\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f \u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (Constrained Quantum Annealing, CQA) \u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u3092\u7528\u3044\u3066\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304d\u307e\u3059\u3002\u3053\u306e\u624b\u6cd5\u306f\u5236\u7d04\u3092\u7f70\u91d1\u9805\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u91cf\u5b50\u52b9\u679c\u3092\u8868\u3059 driver Hamiltonian \u3092\u9069\u5207\u306b\u7528\u3044\u308b\u3053\u3068\u3067\u5236\u7d04\u3092\u6e80\u305f\u3057\u305f\u89e3\u306e\u307f\u306b\u9650\u5b9a\u3057\u3066\u63a2\u7d22\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u308b\u624b\u6cd5\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e00\u4f8b\u3068\u3057\u3066\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u306b\u6ce8\u76ee\u3057\u3066\u3001\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092 CQA \u3092\u7528\u3044\u3066\u89e3\u304d\u307e\u3059\u3002\u5b9f\u9a13\u306e\u7d50\u679c\u3067\u306f CQA \u306b\u3088\u308a\u6700\u9069\u89e3\u306b\u8fd1\u3044\u89e3\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u4e88\u60f3\u3068\u9055\u3046\u7d50\u679c\u3082\u5f97\u3089\u308c\u3001\u3053\u306e\u8003\u5bdf\u3082\u884c\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"author":10,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[52,85,112],"class_list":["post-6999","post","type-post","status-publish","format-standard","hentry","category-review","tag-52","tag-85","tag-112"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff1a\u7f70\u91d1\u9805\u3092\u4f7f\u308f\u305a\u306b\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u89e3\u304f - 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\/2024\/03\/19\/\u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff1a\u7f70\u91d1\u9805\u3092\u4f7f\u308f\u305a\u306b\u30b0\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff1a\u7f70\u91d1\u9805\u3092\u4f7f\u308f\u305a\u306b\u30b0\u30e9\u30d5\u5f69\u8272\u554f\u984c\u3092\u89e3\u304f - T-QARD Harbor\" \/>\n<meta property=\"og:description\" content=\"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u5236\u7d04\u306f\u7f70\u91d1\u9805\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u4e00\u822c\u7684\u3067\u3059\u3002\u3057\u304b\u3057\u3053\u306e\u624b\u6cd5\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (QA) \u306e\u6027\u80fd\u3092\u843d\u3068\u3057\u3066\u3057\u307e\u3046\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f \u5236\u7d04\u4ed8\u304d\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (Constrained Quantum Annealing, CQA) \u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u3092\u7528\u3044\u3066\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304d\u307e\u3059\u3002\u3053\u306e\u624b\u6cd5\u306f\u5236\u7d04\u3092\u7f70\u91d1\u9805\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u91cf\u5b50\u52b9\u679c\u3092\u8868\u3059 driver Hamiltonian 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