{"id":3803,"date":"2022-08-08T09:00:35","date_gmt":"2022-08-08T00:00:35","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=3803"},"modified":"2022-08-08T09:00:35","modified_gmt":"2022-08-08T00:00:35","slug":"%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/","title":{"rendered":"\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u306b\u3088\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0"},"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\" 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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E8%83%8C%E6%99%AF\" >\u80cc\u666f<\/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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E3%82%A4%E3%82%B8%E3%83%B3%E3%82%B0%E3%83%A2%E3%83%87%E3%83%AB%E3%81%A8%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0\" >\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u3068\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%88%86%E5%AD%90%E5%8B%95%E5%8A%9B%E5%AD%A6%E6%B3%95\" >\u5206\u5b50\u52d5\u529b\u5b66\u6cd5<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E6%89%8B%E6%B3%95\" >\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-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E6%89%8B%E6%B3%95%E3%81%AE%E6%A6%82%E8%A6%81\" >\u624b\u6cd5\u306e\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%8F%A4%E5%85%B8%E3%83%8F%E3%83%9F%E3%83%AB%E3%83%88%E3%83%8B%E3%82%A2%E3%83%B3%E3%81%AE%E8%A8%AD%E8%A8%88\" >\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u8a2d\u8a08<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E7%94%A8%E8%AA%9E%E3%81%AE%E5%B0%8E%E5%85%A5_%E2%80%93_frozen_%E5%A4%89%E6%95%B0%E3%81%A8_ambivalent_%E5%A4%89%E6%95%B0_%E2%80%93\" >\u7528\u8a9e\u306e\u5c0e\u5165 &#8211; frozen \u5909\u6570\u3068 ambivalent \u5909\u6570 &#8211;<\/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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E3%83%8F%E3%82%A4%E3%83%96%E3%83%AA%E3%83%83%E3%83%89%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0\" >\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9F%E9%A8%93_1_%E6%9C%80%E5%A4%A7%E3%82%AB%E3%83%83%E3%83%88%E5%95%8F%E9%A1%8C\" >\u5b9f\u9a13 1 : \u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9F%E9%A8%93_1_%E3%81%AE%E8%A8%AD%E5%AE%9A\" >\u5b9f\u9a13 1 \u306e\u8a2d\u5b9a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9F%E9%A8%93_1_%E3%81%AE%E7%B5%90%E6%9E%9C\" >\u5b9f\u9a13 1 \u306e\u7d50\u679c<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9F%E9%A8%93_2_%E3%82%A4%E3%82%B8%E3%83%B3%E3%82%B0%E3%82%B9%E3%83%94%E3%83%B3%E3%82%B0%E3%83%A9%E3%82%B9%E5%95%8F%E9%A1%8C\" >\u5b9f\u9a13 2 : \u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9F%E9%A8%93_2_%E3%81%AE%E8%A8%AD%E5%AE%9A\" >\u5b9f\u9a13 2 \u306e\u8a2d\u5b9a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9F%E9%A8%93_2_%E3%81%AE%E7%B5%90%E6%9E%9C\" >\u5b9f\u9a13 2 \u306e\u7d50\u679c<\/a><\/li><\/ul><\/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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%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\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E3%81%82%E3%81%A8%E6%9B%B8%E3%81%8D\" >\u3042\u3068\u66f8\u304d<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%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-21\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/08\/08\/%e5%88%86%e5%ad%90%e5%8b%95%e5%8a%9b%e5%ad%a6%e6%b3%95%e3%81%ab%e3%82%88%e3%82%8b%e3%83%8f%e3%82%a4%e3%83%96%e3%83%aa%e3%83%83%e3%83%89%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%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 class=\"wp-block-heading\"><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\n\n\n<ul class=\"wp-block-list\">\n<li>\u30bf\u30a4\u30c8\u30eb : Hybrid Quantum Annealing via Molecular Dynamics<\/li>\n\n\n\n<li>\u8457\u8005 : Hirotaka Irie, Haozhao Liang, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda<\/li>\n\n\n\n<li>\u66f8\u8a8c\u60c5\u5831 : <a href=\"https:\/\/doi.org\/10.1038\/s41598-021-87676-z\">https:\/\/doi.org\/10.1038\/s41598-021-87676-z<\/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>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u8fd1\u4f3c\u7684\u306b\u89e3\u304f\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u8fd1\u5e74\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u767b\u5834\u306b\u3088\u308a\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u5b9f\u7528\u7684\u306a\u5229\u7528\u6cd5\u3082\u5e83\u304f\u7814\u7a76\u3055\u308c\u59cb\u3081\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u304b\u3057\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u3084\u30ce\u30a4\u30ba\u5bfe\u7b56\u306b\u306f\u307e\u3060\u9650\u754c\u304c\u3042\u308a\u3001\u73fe\u72b6\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u306f\u5927\u898f\u6a21\u306a\u554f\u984c\u3092\u9ad8\u7cbe\u5ea6\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u5927\u898f\u6a21\u6027\u80fd\u3092\u88dc\u5b8c\u3059\u308b\u65b9\u6cd5\u306e\u4e00\u3064\u3068\u3057\u3066\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u3088\u308b\u5c0f\u898f\u6a21\u306a\u6700\u9069\u5316\u3092\u53e4\u5178\u7684\u624b\u6cd5\u3068\u7d44\u307f\u5408\u308f\u305b\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u65b9\u5f0f\u306e\u958b\u767a\u304c\u884c\u308f\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001\u53e4\u5178\u7684\u624b\u6cd5\u3068\u3057\u3066\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u524d\u51e6\u7406\u306b\u7528\u3044\u308b\u53e4\u5178\u30fb\u91cf\u5b50\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u65b9\u5f0f\u3092\u63d0\u6848\u3057\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u672c\u624b\u6cd5\u3092\u7528\u3044\u3066\u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c\u3068\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c\u3092\u89e3\u304d\u3001\u5f97\u3089\u308c\u308b\u89e3\u306e\u7cbe\u5ea6\u3084\u8a08\u7b97\u6642\u9593\u3092\u53e4\u5178\u7684\u6700\u9069\u5316\u624b\u6cd5 ( \u30bf\u30d6\u30fc\u30b5\u30fc\u30c1\u3084\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 ) \u3068\u6bd4\u8f03\u3057\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\"><\/span>\u80cc\u666f<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%E3%83%A2%E3%83%87%E3%83%AB%E3%81%A8%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0\"><\/span>\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u3068\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u591a\u304f\u306f\u3001$s_i \\in \\{\\pm 1\\} $ ( $i=1,\\dots,N$ ) \u3092\u30b9\u30d4\u30f3\u5909\u6570\u3001$J_{ij}$ \u3092\u76f8\u4e92\u4f5c\u7528\u3001$h_i$ \u3092\u5916\u78c1\u5834\u3068\u3059\u308b\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u57fa\u5e95\u72b6\u614b ( \u4ee5\u4e0b\u306e\u5f0f (1) \u3092\u6700\u5c0f\u306b\u3059\u308b\u3088\u3046\u306a\u30b9\u30d4\u30f3\u5909\u6570 $s_i$ \u306e\u7d44\u307f\u5408\u308f\u305b ) \u3092\u63a2\u7d22\u3059\u308b\u554f\u984c\u3068\u3057\u3066\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>\\mathcal{H}_{\\rm{Ising}}(s)=\\frac{1}{2}\\sum_{i\\ne j}^{N}J_{ij}s_{i}s_{j}+\\sum_{i=1}^{N}h_is_i \\tag{1}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u305d\u3057\u3066\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 ( QA : Quantum Annealing ) \u306f\u3001\u4ee5\u4e0b\u306e\u91cf\u5b50\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $\\mathcal{H}_{\\rm{QA}}$ \u3092\u6642\u9593\u767a\u5c55\u3055\u305b\u3001\u5f0f (1) \u306e\u57fa\u5e95\u72b6\u614b\u3092\u6c42\u3081\u308b\u624b\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>\\mathcal{H}_{\\rm{QA}}(\\sigma ; \\tau)=A(\\tau)\\left[ -\\sum_{i=1}^{N}\\sigma_i^{x} \\right] +B(\\tau)\\left[ \\frac{1}{2}\\sum_{i\\ne j}^{N}J_{ij}\\sigma_{i}^{z}\\sigma_{j}^{z}+\\sum_{i=1}^{N}h_i \\sigma_i^{z} \\right] \\tag{2}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067 $\\sigma_i^x$ \u3068 $\\sigma_i^z$ \u306f\u3001\u305d\u308c\u305e\u308c\u5404 $i$ ( $=1,2,\\cdots,N$ ) \u306b\u304a\u3051\u308b $2\\times2$ \u306e\u30d1\u30a6\u30ea\u884c\u5217\u306e $x$ \u6210\u5206\u3068 $z$ \u6210\u5206\u3092\u8868\u3057\u307e\u3059\u3002\u307e\u305f\u3001$\\tau$ \u306f\u6642\u9593 $t$ \u306b\u4f9d\u5b58\u3059\u308b\u95a2\u6570\u3067\u3042\u308a\u3001\u305d\u306e\u5024\u57df\u306f $[0,1]$ \u3067\u3059\u3002\u305d\u3057\u3066\u3001\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u95a2\u6570 $A(\\tau)$ \u304a\u3088\u3073 $B(\\tau)$ \u306f\u3001\u521d\u671f ( $\\tau=0$ ) \u306b $A(0)\\gg B(0)$\u3001\u7d42\u671f ( $\\tau=1$ ) \u306b $A(1)\\ll B(1)$ \u3068\u306a\u308b\u3088\u3046\u306b\u9078\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u5b9f\u884c\u3059\u308b\u30de\u30b7\u30f3\u306e\u3053\u3068\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3068\u8a00\u3044\u307e\u3059\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3068\u3057\u3066\u306f D-Wave Systems \u304c\u958b\u767a\u3057\u305f D-Wave \u30de\u30b7\u30f3\u304c\u3042\u308a\u3001\u672c\u8ad6\u6587\u3067\u3082\u4f7f\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u73fe\u72b6\u306e D-Wave \u30de\u30b7\u30f3\u306f\u3001\u30ce\u30a4\u30ba\u5bfe\u7b56\u3084\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u306b\u9650\u754c\u304c\u3042\u308b\u305f\u3081\u3001\u5909\u6570\u306e\u6570\u304c\u591a\u3044 ( = \u898f\u6a21\u306e\u5927\u304d\u3044 ) \u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u3092\u6b63\u78ba\u306b\u6c42\u3081\u308b\u306e\u306f\u96e3\u3057\u3044\u306e\u304c\u73fe\u72b6\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u672c\u8ad6\u6587\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u524d\u51e6\u7406\u3068\u3057\u3066\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u63a2\u7d22\u3059\u308b\u89e3\u306e\u9818\u57df\u3092\u524a\u6e1b\u3059\u308b\u5de5\u592b\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%86%E5%AD%90%E5%8B%95%E5%8A%9B%E5%AD%A6%E6%B3%95\"><\/span>\u5206\u5b50\u52d5\u529b\u5b66\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u5206\u5b50\u52d5\u529b\u5b66\u6cd5 ( MD : Molecular Dynamics ) \u3068\u306f\u3001\u5206\u5b50\u3084\u539f\u5b50\u3068\u3044\u3063\u305f\u7c92\u5b50\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u6570\u5024\u7684\u306b\u89e3\u304f\u3053\u3068\u306b\u3088\u308a\u3001\u591a\u6570\u306e\u7c92\u5b50\u306e\u904b\u52d5\u3092\u8ffd\u8de1\u3059\u308b\u624b\u6cd5\u3067\u3059\u3002\u751f\u4f53\u5206\u5b50\u3092\u69cb\u6210\u3059\u308b\u539f\u5b50\u306e\u89e3\u6790\u3084\u3001\u6db2\u4f53\u4e2d\u306e\u885d\u6483\u6ce2\u306b\u95a2\u3059\u308b\u5b9f\u9a13\u306a\u3069\u3001\u8a08\u7b97\u6a5f\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u306e\u65b9\u6cd5\u3068\u3057\u3066\u69d8\u3005\u306a\u5206\u91ce\u3067\u5229\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e0a\u8ff0\u306e\u901a\u308a\u3001MD \u3067\u306f\u7c92\u5b50\u305d\u308c\u305e\u308c\u306e\u904b\u52d5\u65b9\u7a0b\u5f0f\u3092\u7e70\u308a\u8fd4\u3057\u89e3\u304d\u307e\u3059\u304c\u3001\u305d\u308c\u306f\u4ee5\u4e0b\u306b\u793a\u3059\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $\\mathcal{H}(\\{q_i\\},\\{p_i\\})$ \u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u3068\u7b49\u4fa1\u3067\u3042\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059 ( \u6dfb\u5b57 $i$ \u306f\u7c92\u5b50\u4e00\u3064\u3072\u3068\u3064\u306e\u756a\u53f7\u3067\u3059 )\u3002[1]<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>\\frac{d q_i}{d t}=\\frac{\\partial \\mathcal{H}}{\\partial p_i}\\ ,\\ \\frac{d p_i}{d t}=-\\frac{\\partial \\mathcal{H}}{\\partial q_i} \\tag{3}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$q_i$ \u306f\u4e00\u822c\u5ea7\u6a19\u3001$p_i$ \u306f\u4e00\u822c\u904b\u52d5\u91cf\u3067\u3059\u3002\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $\\mathcal{H}$ \u306f\u3001$q_i$ \u3068 $p_i$ \u3092\u5909\u6570\u3068\u3057\u3001\u7cfb\u5168\u4f53\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8868\u73fe\u3059\u308b\u95a2\u6570\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7cfb\u306b\u5b58\u5728\u3059\u308b\u7c92\u5b50\u540c\u58eb\u306e\u76f8\u4e92\u4f5c\u7528\u306a\u3069\u306e\u60c5\u5831\u3092\u5168\u3066\u542b\u3093\u3067\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5f0f (3) \u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u3092\u7e70\u308a\u8fd4\u3057\u89e3\u3044\u3066\u7c92\u5b50\u306e\u6642\u9593\u767a\u5c55\u3092\u8a08\u7b97\u3057\u3066\u3044\u304f\u30e1\u30ea\u30c3\u30c8\u306f\u3001\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u9069\u5207\u306b\u8a2d\u8a08\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u6700\u5c0f\u5316\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u308b\u70b9\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u57fa\u5e95\u72b6\u614b\u3092\u63a2\u7d22\u3059\u308b\u3088\u3046\u306a\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $\\mathcal{H}$ \u3092\u8a2d\u8a08\u3059\u308c\u3070\u3001MD \u306b\u3088\u3063\u3066\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3088\u3063\u3066\u3001\u305d\u306e\u3088\u3046\u306a\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u8a2d\u8a08\u3059\u308b\u3053\u3068\u304c\u76ee\u6a19\u3068\u306a\u308a\u307e\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>\u624b\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%89%8B%E6%B3%95%E3%81%AE%E6%A6%82%E8%A6%81\"><\/span>\u624b\u6cd5\u306e\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001MD \u3068 QA \u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u65b0\u3057\u3044\u91cf\u5b50\u6700\u9069\u5316\u30b7\u30b9\u30c6\u30e0 HQA ( Hybrid Quantum Annealing ) \u3092\u63d0\u6848\u3057\u3066\u3044\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u56f3 1 \u306b\u3001HQA \u306e\u6982\u5ff5\u56f3\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/figure1-1024x707.png\" alt=\"\" width=\"563\" height=\"388\"\/><figcaption class=\"wp-element-caption\">\u56f31: HQA \u306e\u6982\u5ff5\u56f3 ( <a href=\"https:\/\/doi.org\/10.1038\/s41598-021-87676-z\">https:\/\/doi.org\/10.1038\/s41598-021-87676-z<\/a> )<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 1 \u304c\u793a\u3059\u3088\u3046\u306b\u3001HQA \u3067\u306f\u3001\u306f\u3058\u3081\u306b\u5909\u6570 $N$ \u500b\u306e\u6700\u9069\u5316\u554f\u984c\u306b MD \u3092\u9069\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u554f\u984c\u30b5\u30a4\u30ba\u3092 $n$ \u500b\u306b\u307e\u3067\u7d5e\u308a\u8fbc\u307f\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u6b8b\u308b\u5909\u6570 $n$ \u500b\u306e\u90e8\u5206\u554f\u984c\u306b QA \u3092\u9069\u7528\u3057\u3001$N$ \u5909\u6570\u5168\u3066\u306e\u6700\u7d42\u7684\u306a\u89e3\u3092\u5f97\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%8F%A4%E5%85%B8%E3%83%8F%E3%83%9F%E3%83%AB%E3%83%88%E3%83%8B%E3%82%A2%E3%83%B3%E3%81%AE%E8%A8%AD%E8%A8%88\"><\/span>\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u8a2d\u8a08<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001MD \u3092\u7528\u3044\u3066\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u57fa\u5e95\u72b6\u614b\u3092\u6c42\u3081\u308b\u305f\u3081\u306e\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $\\mathcal{H}_{\\rm{MD}}$ \u3092\u8a2d\u8a08\u3057\u307e\u3059\u3002\u305d\u306e\u3088\u3046\u306a $\\mathcal{H}_{\\rm{MD}}$ \u306f\u3001\u4ee5\u4e0b\u306e\u5f0f (4) \u306e\u3088\u3046\u306b\u8a18\u8ff0\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>\\mathcal{H}_{\\rm{MD}}(\\varphi,p ; \\tau)=\\alpha(\\tau)\\sum_{i=1}^{N}\\left( \\frac{p_i^{2}}{2}+V(\\varphi_i) \\right) + \\beta(\\tau)\\left[ \\frac{1}{2}\\sum_{i \\ne j}^{N}J_{ij}\\varphi_i \\varphi_j + \\sum_{i=1}^{N}h_i|\\varphi_i|\\varphi_i \\right] \\tag{4}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$\\varphi_i$ ( $i=1,\\cdots,N$ ) \u306f\u9023\u7d9a flux \u5909\u6570\u3001$p_i$ ( $i=1,\\cdots,N$ ) \u306f\u9023\u7d9a\u5171\u5f79\u904b\u52d5\u91cf\u3067\u3059\u3002flux \u5909\u6570 $\\varphi_i$ \u306f\u3001\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u30b9\u30d4\u30f3\u5909\u6570\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5411\u304d $\\{+1,-1\\}$ \u3060\u3051\u3067\u306a\u304f\u3001\u5927\u304d\u3055 $|\\varphi_i|$ \u3092\u6301\u3061\u307e\u3059\u3002MD \u306e\u6642\u9593\u767a\u5c55\u306f $\\tau=t\\ \/ \\ t_{f}\\in[0,1]$ \u3068\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$t\\in [0,t_{f}]$ \u304c\u5b9f\u969b\u306e\u767a\u5c55\u6642\u9593\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u30b9\u30b1\u30b8\u30e5\u30fc\u30ea\u30f3\u30b0\u95a2\u6570 $\\alpha(\\tau)$\u3001$\\beta(\\tau)$ \u306f QA \u3068\u540c\u69d8\u3001\u521d\u671f ( $\\tau=0$ ) \u306f $\\alpha(0)\\gg \\beta(0)$\u3001\u7d42\u671f ( $\\tau=1$ ) \u306f $\\alpha(1)\\ll \\beta(1)$ \u3068\u306a\u308b\u3088\u3046\u306b\u9078\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3057\u3066\u3001\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u9805 $V(\\varphi)$ \u306f $V(\\varphi)=\\varphi^{M} \\ (M=4,6,8,\\cdots)$ \u3068\u3044\u3046\u4e0b\u306b\u51f8\u306e\u95a2\u6570\u3067\u3059\u3002\u3053\u306e\u9805\u306b\u306f\u3001flux \u5909\u6570 $\\varphi_i$ \u306e\u7d76\u5bfe\u5024 $|\\varphi_i|$ \u3092\u6642\u9593\u767a\u5c55\u306b\u4f34\u3063\u3066\u5927\u304d\u304f\u3059\u308b\u52b9\u679c\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5f0f (4) \u3092\u3001\u5f0f (2) \u306e QA \u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3068\u6bd4\u8f03\u3057\u3066\u307f\u307e\u3059\u3002\u5f0f (4) \u306e\u7b2c\u4e00\u9805\u306f\u3001\u5404 flux \u5909\u6570\u304c\u521d\u671f\u306b $\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3059\u308b\u3053\u3068\u3092\u4fdd\u8a3c\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u5f0f (2) \u306e\u7b2c\u4e00\u9805\u304c\u3001\u521d\u671f\u306b\u5404\u30b9\u30d4\u30f3\u3092\u91cd\u306d\u5408\u308f\u305b\u72b6\u614b\u306b\u3059\u308b\u306e\u3068\u4f3c\u305f\u5f79\u5272\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u5f0f (4) \u306e\u7b2c\u4e8c\u9805\u306f\u3001\u5f0f (2) \u306e\u7b2c\u4e8c\u9805\u3068\u540c\u69d8\u3001\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb ( \u5f0f (1) ) \u3092\u8868\u3059\u9805\u3067\u3059\u3002\u5f0f (2) \u3068\u5f0f (4) \u306f\u3001\u3044\u305a\u308c\u3082\u7d42\u671f ( $\\tau=1$ ) \u3067\u7b2c\u4e8c\u9805\u306e\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u57fa\u5e95\u72b6\u614b\u3092\u5f97\u308b\u3053\u3068\u3092\u76ee\u7684\u3068\u3057\u3066\u8a2d\u8a08\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e $\\mathcal{H}_{\\rm{MD}}$ \u306b\u95a2\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u6b63\u6e96\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u3053\u3068\u306b\u3088\u3063\u3066 flux \u5909\u6570\u306e\u6642\u9593\u767a\u5c55\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>g \\frac{d\\varphi_i}{d\\tau}=\\frac{\\partial \\mathcal{H}_{\\rm{MD}}(\\varphi,p ; \\tau)}{\\partial p_i},\\qquad g \\frac{d p_i}{d\\tau}=-\\frac{\\partial \\mathcal{H}_{\\rm{MD}}(\\varphi,p ; \\tau)}{\\partial \\varphi_i} \\tag{5}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$\\tau=(\\ t\\ \/\\ {t_{f}})\\equiv g t$ \u3067\u3059\u3002 $g \\to 0$ \u306e\u3068\u304d\u3001flux \u5909\u6570\u306e\u904b\u52d5\u306f\u65ad\u71b1\u7684\u306b\u306a\u308a\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u5f0f (5) \u3092 GPGPU \u30de\u30b7\u30f3\u4e0a\u3067 leapfrog algorithm \u3092\u7528\u3044\u3066\u89e3\u3044\u3066\u3044\u307e\u3059\u3002leapfrog algorithm \u3068\u306f\u3001\u5fae\u5206\u65b9\u7a0b\u5f0f\u306e\u6570\u5024\u8a08\u7b97\u6cd5\u306e\u4e00\u3064\u3067\u3001\u53e4\u5178\u529b\u5b66\u7cfb\u306e\u8a08\u7b97\u3067\u3088\u304f\u7528\u3044\u3089\u308c\u308b\u624b\u6cd5\u3067\u3059\u3002[1]<\/p>\n\n\n\n<p>\u521d\u671f\u6761\u4ef6\u306b\u3064\u3044\u3066\u306f\u3001$\\varphi_i(\\tau=0)=0$ \u3068\u3057\u3001$p_i(\\tau=0)$ \u306f $+1$ \u307e\u305f\u306f $-1$ \u306b\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u629e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u51f8\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb $V(\\varphi)$ \u306b\u3064\u3044\u3066\u306f\u3001$M = 4, 6, 8$ \u3092\u30c6\u30b9\u30c8\u3057\u3001$M = 6$ \u304c\u767a\u5c55\u6642\u9593\u3068\u7cbe\u5ea6\u306e\u70b9\u3067\u6700\u3082\u826f\u3044\u6027\u80fd\u3092\u793a\u3057\u305f\u305f\u3081\u3001\u3053\u306e\u8ad6\u6587\u3067\u306f\u3053\u306e\u5024\u3092\u4f7f\u7528\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%94%A8%E8%AA%9E%E3%81%AE%E5%B0%8E%E5%85%A5_%E2%80%93_frozen_%E5%A4%89%E6%95%B0%E3%81%A8_ambivalent_%E5%A4%89%E6%95%B0_%E2%80%93\"><\/span>\u7528\u8a9e\u306e\u5c0e\u5165 &#8211; frozen \u5909\u6570\u3068 ambivalent \u5909\u6570 &#8211;<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e0a\u3067\u8a2d\u8a08\u3057\u305f\u53e4\u5178\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3 $\\mathcal{H}_{\\rm{MD}}$ \u306b\u3064\u3044\u3066\u3001\u8a66\u9a13\u7684\u306b MD \u767a\u5c55\u3092\u884c\u3044\u307e\u3059\u3002\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf $J_{ij}$ \u304a\u3088\u3073 $h_i$ \u306f\u3001$-1\\le J_{ij} \\le+1$\u3001$-2\\le h_i \\le +2$ \u306e\u533a\u9593\u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306a\u5024\u3092 1 \u30da\u30a2\u9078\u3073\u307e\u3059\u3002\u56f3 2 \u306f\u3001\u305d\u306e\u3068\u304d\u306e flux \u5909\u6570\u306e\u5168\u8ecc\u9053 $\\{\\varphi_i\\}\\ (i=1,\\cdots,10,000)$ \u3067\u3059\u3002\u3053\u3053\u3067\u3001MD \u6642\u9593\u30b9\u30c6\u30c3\u30d7 $\\delta \\tau$ \u306f $\\delta \\tau=1\\ \/ \\ 50,000$ \u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001QA \u306e\u3088\u3046\u306a\u65ad\u71b1\u7684\u6642\u9593\u767a\u5c55\u3092\u6a21\u5023\u3057\u305f\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3092\u3059\u308b\u306b\u306f\u3001\u5f0f (5) \u3067 $g\\to 0$ \u3068\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u3057\u305f\u304c\u3063\u3066\u3001$g$ \u306b\u306f\u5c0f\u3055\u306a\u5024\u3092\u9078\u3070\u306a\u304f\u3066\u306f\u306a\u308a\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u3053\u3053\u3067\u306f $g=\\delta \\tau\\ (=1 \\ \/ \\ 50,000)$ \u3068\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/d679053dbd34a86d0ad74a3648a5e3e7.png\" alt=\"\" width=\"508\" height=\"322\"\/><figcaption class=\"wp-element-caption\">\u56f32 : \u5178\u578b\u7684\u306a\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306b\u5bfe\u3059\u308b\u5168 flux \u5909\u6570\u306e\u8ecc\u9053 ( <a href=\"https:\/\/doi.org\/10.1038\/s41598-021-87676-z\">https:\/\/doi.org\/10.1038\/s41598-021-87676-z<\/a> )<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 2 \u306b\u306f\u5168\u3066\u306e flux \u5909\u6570\u306e\u8ecc\u9053\u304c\u8272\u5206\u3051\u3055\u308c\u3066\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u4e00\u756a\u624b\u524d\u306b\u898b\u3048\u308b\u6c34\u8272\u306e\u8ecc\u9053\u3092\u898b\u308b\u3068\u3001\u521d\u671f\u306f $\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u7d42\u671f\u306f\u632f\u52d5\u304c\u5c0f\u3055\u304f\u306a\u308a\u3001\u8ca0\u306e\u65b9\u5411\u306b\u843d\u3061\u7740\u3044\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u8336\u8272\u306e\u8ecc\u9053\u3092\u898b\u308b\u3068\u3001\u521d\u671f\u306e\u8ecc\u9053\u306f\u96a0\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u5f90\u3005\u306b\u6b63\u306e\u65b9\u5411\u306b\u843d\u3061\u7740\u3044\u3066\u3044\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001\u7d42\u671f\u306b\u306a\u3063\u3066\u3082 $\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u7d9a\u3051\u3066\u3044\u308b\u8ecc\u9053\u3082\u898b\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306b\u3001\u5404 flux \u5909\u6570\u306e\u8ecc\u9053\u306f \uff62 \u6b63\u306b\u843d\u3061\u7740\u304f \uff63\u3001\uff62 \u8ca0\u306b\u843d\u3061\u7740\u304f \uff63\u3001\uff62 $\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u7d9a\u3051\u308b \uff63 \u3068\u3044\u3046 3 \u3064\u306e\u50be\u5411\u306b\u5206\u3051\u3089\u308c\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u6b21\u306b\u3001\u3053\u308c\u3089\u306e\u50be\u5411\u3092\u5b9a\u91cf\u7684\u306b\u5206\u3051\u308b\u57fa\u6e96\u3068\u3057\u3066\u3001\u4ee5\u4e0b\u306e\u5f0f (6) \u3067\u8868\u3055\u308c\u308b flux \u5909\u6570\u306e\u6642\u9593\u5e73\u5747\u3092\u8003\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>\\overline{\\varphi}_{i}(\\tau)\\equiv \\frac{1}{\\delta}\\int_{\\tau-\\delta}^{\\tau}d \\tau&#8217; \\varphi_i(\\tau&#8217;) \\tag{6}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\u533a\u9593 $\\delta$ \u306f MD \u30b9\u30c6\u30c3\u30d7 $\\delta \\tau$ \u3088\u308a\u5341\u5206\u5927\u304d\u304f\u3001\u304b\u3064 $1$ \u3088\u308a\u5341\u5206\u5c0f\u3055\u3044\u3082\u306e\u3068\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u56f3 3 \u306b\u5f0f (6) \u306e\u6982\u5ff5\u56f3\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/0ad2d8a068cd941a9a75c4c378a251e8.png\" alt=\"\" width=\"495\" height=\"328\"\/><figcaption class=\"wp-element-caption\">\u56f33: \u5f0f (6) \u306e\u6982\u5ff5\u56f3\u3002(a) : flux \u5909\u6570\u306e\u8ecc\u9053\u304c\u8ca0\u306b\u843d\u3061\u7740\u304f\u5834\u5408\u3001(b) : flux \u5909\u6570\u306e\u8ecc\u9053\u304c\u30bc\u30ed\u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u7d9a\u3051\u308b\u5834\u5408\u3002\u9752\u306e\u659c\u7dda\u90e8\u304c\u5f0f (6) \u306e\u7a4d\u5206\u5024\u306b\u5bfe\u5fdc\u3002<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 3(a) \u3067\u306f\u3001flux \u5909\u6570\u306e\u8ecc\u9053\u304c\u8ca0\u306b\u843d\u3061\u7740\u304f\u5834\u5408\u306e\u7a4d\u5206\u5024 $\\overline{\\varphi}_{i}(\\tau)$ \u3092\u9752\u306e\u659c\u7dda\u3067\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u56f3 3(b) \u3067\u306f\u3001\u8ecc\u9053\u304c $\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u7d9a\u3051\u308b\u5834\u5408\u306e $\\overline{\\varphi}_{i}(\\tau)$ \u3092\u9752\u306e\u659c\u7dda\u3067\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u56f3 3(b) \u306e\u5834\u5408\u306f\u3001$\\overline{\\varphi}_{i}(\\tau)$ \u306b\u6b63\u306e\u9818\u57df\u3068\u8ca0\u306e\u9818\u57df\u304c\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u7d76\u5bfe\u5024 $| \\overline{\\varphi}_{i}(\\tau) |$ \u306f\u56f3 3(a) \u306b\u6bd4\u3079\u3066\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u7d9a\u3051\u308b\u5834\u5408\u306e $| \\overline{\\varphi}_{i}(\\tau) |$ \u306e\u5024\u306f\u3001\u8ecc\u9053\u304c\u6b63 \uff65 \u8ca0\u306b\u843d\u3061\u7740\u304f\u5834\u5408\u3088\u308a\u5c0f\u3055\u304f\u306a\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u7d42\u671f $\\tau=1$ \u3067\u306e $|\\overline{\\varphi}_{i}(\\tau)|$ \u306e\u5024 ( $|\\overline{\\varphi}_{i}(\\tau=1)|$ ) \u3067\u4e26\u3079\u66ff\u3048\u308b\u3053\u3068\u306b\u3088\u308a\u3001$|\\overline{\\varphi}_{i}(\\tau=1)|$ \u304c\u5c0f\u3055\u3044\u65b9\u3092 \uff62 $\\varphi_i=0$ \u306e\u5468\u308a\u3067\u632f\u52d5\u3057\u7d9a\u3051\u308b\u5909\u6570 \uff63\u3001$|\\overline{\\varphi}_{i}(\\tau=1)|$ \u304c\u5927\u304d\u3044\u65b9\u3092 \uff62 \u6b63\u30fb\u8ca0\u306b\u843d\u3061\u7740\u304f\u5909\u6570 \uff63 \u3068\u3044\u3046\u69d8\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u524d\u8005\u3092 ambivalent \u5909\u6570\u3068\u547c\u3073\u3001\u5f8c\u8005\u3092 frozen \u5909\u6570\u3068\u547c\u3093\u3067\u3044\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001ambivalent \u5909\u6570\u3068 frozen \u5909\u6570\u306f\u4ee5\u4e0b\u306e\u56f3 4 \u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/7466addce828486a4525c4f43dc63441-1024x216.png\" alt=\"\" width=\"-212\" height=\"-45\"\/><figcaption class=\"wp-element-caption\">\u56f34: ambivalent \u5909\u6570\u3068 frozen \u5909\u6570\u306e\u5b9a\u7fa9<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 4 \u306b\u304a\u3044\u3066\u3001$i&#8217;$ \u306f\u30bd\u30fc\u30c8\u5f8c\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$\\{\\varphi_{i&#8217;}\\} \\ (i&#8217;=1,\\cdots,n)$ \u304c ambivalent \u5909\u6570\u3067\u3001$\\{\\varphi_{i&#8217;}\\} \\ (i&#8217;=n+1,\\cdots,N)$ \u304c frozen \u5909\u6570\u3067\u3059\u3002ambivalent \u3068 frozen \u3092\u5206\u3051\u308b\u6574\u6570 $n\\ (&lt;N)$ \u306b\u3064\u3044\u3066\u306f\u3001\u4e88\u3081\u9069\u5f53\u306a\u5024\u3092\u9078\u3093\u3067\u304a\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%8F%E3%82%A4%E3%83%96%E3%83%AA%E3%83%83%E3%83%89%E9%87%8F%E5%AD%90%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0\"><\/span>\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>MD \u3068\u30bd\u30fc\u30c8\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u3088\u308a\u3001flux \u5909\u6570\u3092 frozen \u5909\u6570\u3068 ambivalent \u5909\u6570\u306b\u5206\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002frozen \u5909\u6570\u306f\u3001\u5024\u306e\u6b63 \uff65 \u8ca0\u304c\u5b9a\u307e\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u89e3\u304d\u305f\u3044\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3059\u308b\u89e3\u304c\u78ba\u5b9a\u3057\u3066\u3044\u308b\u5909\u6570\u3068\u307f\u306a\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u305d\u308c\u306f\u3001\u30b9\u30d4\u30f3\u5909\u6570\u306e\u53d6\u308a\u5f97\u308b\u5024\u306f $-1$ \u304b $+1$ \u3067\u3042\u308b\u305f\u3081\u3001$s_{k&#8217;}=\\rm{sgn}({\\varphi}_{k&#8217;}(\\tau=1))$ \u3068\u3057\u3066\u7b26\u53f7\u3092\u53d6\u308a\u51fa\u305b\u3070\u826f\u3044\u304b\u3089\u3067\u3059\u3002\u3053\u3053\u3067\u3001${\\rm sgn}(x)$ \u306f $x&gt;0$ \u306e\u3068\u304d\u306b $+1$\u3001$x&lt;0$ \u306e\u3068\u304d\u306b $-1$ \u3092\u8fd4\u3059\u7b26\u53f7\u95a2\u6570\u3067\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001frozen \u5909\u6570\u306b\u95a2\u3057\u3066\u306f\u30b9\u30d4\u30f3\u306e\u5411\u304d $\\{+1,-1\\}$ \u3092\u56fa\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u306e ambivalent \u5909\u6570\u306f\u3001\u89e3\u304d\u305f\u3044\u554f\u984c\u306b\u5bfe\u3059\u308b\u89e3\u304c\u307e\u3060\u78ba\u5b9a\u3057\u3066\u3044\u306a\u3044\u5909\u6570\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u3053\u306e ambivalent \u5909\u6570\u306b\u5bfe\u3057\u3066 QA ( \u3082\u3057\u304f\u306f\u4ed6\u306e\u30a4\u30b8\u30f3\u30b0\u30bd\u30eb\u30d0 ) \u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001ambivalent \u30b9\u30d4\u30f3 $\\{s_i\\}\\ (i&#8217;=1,\\cdots,n)$ \u306b\u3064\u3044\u3066\u4ee5\u4e0b\u306e\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u3092\u5b9a\u7fa9\u3057\u3001\u305d\u306e\u57fa\u5e95\u72b6\u614b\u3092 QA ( \u3082\u3057\u304f\u306f\u4ed6\u306e\u30a4\u30b8\u30f3\u30b0\u30bd\u30eb\u30d0 ) \u306b\u3088\u3063\u3066\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>\\mathcal{H&#8217;}_{\\rm{Ising}}(s)=\\frac{1}{2}\\sum_{i&#8217;\\ne j&#8217;}^{n}J_{i&#8217;j&#8217;}^{\\rm{eff}}s_{i&#8217;}s_{j&#8217;}+\\sum_{i&#8217;=1}^{n}h_{i&#8217;}^{\\rm{eff}}s_{i&#8217;}\\equiv \\mathcal{H}_{\\rm{Ising}}(s|s_{k&#8217;=n+1,\\dots,N} : \\rm{frozen})-(\\rm{const.}) \\tag{7}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$J_{i&#8217;j&#8217;}^{\\rm{eff}}$ \u3068 $h_{i&#8217;}^{\\rm{eff}}$ \u306f frozen \u30b9\u30d4\u30f3 $\\{s_i\\}\\ (i&#8217;=n+1,\\cdots,N)$ \u306e\u5024\u3092\u4ee3\u5165\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>J_{i&#8217;j&#8217;}^{\\rm{eff}}=J_{i&#8217;j&#8217;}, \\quad h_{i&#8217;}^{\\rm{eff}}=h_{i&#8217;}+\\sum_{k&#8217;=n+1}^{N}J_{i&#8217;k&#8217;}s_{k&#8217;},\\quad(i&#8217;,j&#8217;=1,2,\\dots,n) \\tag{8}<br>\\end{equation}<br>$$<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u56f3 5 \u306f\u3001$N$ \u5909\u6570\u306e\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f HQA \u306e\u5168\u4f53\u50cf\u3092\u793a\u3059\u30d5\u30ed\u30fc\u30c1\u30e3\u30fc\u30c8\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/5a57d9a84709b5a0cc4a609ba4c8e635-1024x589.png\" alt=\"\" width=\"567\" height=\"326\"\/><figcaption class=\"wp-element-caption\">\u56f35: HQA \u306e\u30d5\u30ed\u30fc\u30c1\u30e3\u30fc\u30c8 ( <a href=\"https:\/\/doi.org\/10.1038\/s41598-021-87676-z\">https:\/\/doi.org\/10.1038\/s41598-021-87676-z<\/a> ) \u203b\u4e00\u90e8\u5909\u66f4<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 5 \u306b\u793a\u3059\u3088\u3046\u306b\u3001HQA \u3067\u306f\u3001\u306f\u3058\u3081\u306b $N$ \u5909\u6570\u306e\u6700\u9069\u5316\u554f\u984c\u306b MD \u3092\u9069\u7528\u3057\u3001$\\overline{\\varphi}_i$ \u306e\u5024\u3067\u30bd\u30fc\u30c8\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066 $N-n$ \u500b\u306e frozen \u5909\u6570\u3068 $n$ \u500b\u306e ambivalent \u5909\u6570\u306b\u5206\u3051\u307e\u3059\u3002\u305d\u3057\u3066\u3001frozen \u5909\u6570\u306f\u7b26\u53f7\u3092\u53d6\u308a\u51fa\u3057\u3066\u6700\u7d42\u7684\u306a\u30b9\u30d4\u30f3\u306e\u5024\u3068\u3057\u3066\u56fa\u5b9a\u3057\u3001ambivalent \u5909\u6570\u306f QA ( \u3082\u3057\u304f\u306f\u4ed6\u306e\u30a4\u30b8\u30f3\u30b0\u30bd\u30eb\u30d0 ) \u306b\u3088\u3063\u3066\u30b9\u30d4\u30f3\u306e\u5024\u3092\u6c42\u3081\u307e\u3059 ( \u305f\u3060\u3057\u3001\u3053\u306e\u3068\u304d\u6700\u5c0f\u5316\u3059\u308b\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306b\u306f\u3001\u65e2\u306b\u78ba\u5b9a\u3057\u3066\u3044\u308b frozen \u30b9\u30d4\u30f3\u306e\u5024\u3092\u4ee3\u5165\u3057\u307e\u3059 )\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u6700\u7d42\u7684\u306a $N$ \u500b\u306e\u30b9\u30d4\u30f3\u306e\u5024\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C\"><\/span>\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93_1_%E6%9C%80%E5%A4%A7%E3%82%AB%E3%83%83%E3%83%88%E5%95%8F%E9%A1%8C\"><\/span>\u5b9f\u9a13 1 : \u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93_1_%E3%81%AE%E8%A8%AD%E5%AE%9A\"><\/span>\u5b9f\u9a13 1 \u306e\u8a2d\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c\u3092\u7528\u3044\u3066 HQA \u306e\u89e3\u306e\u7cbe\u5ea6\u3092\u691c\u8a3c\u3057\u307e\u3059 ( \u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c\u306e\u5b9a\u7fa9\u3084\u4f8b\u306b\u3064\u3044\u3066\u306f<a href=\"\/T-Wave\/?p=3866\">\u7528\u8a9e\u96c6\uff1a\u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c<\/a>\u306b\u3066\u8aac\u660e\u3057\u3066\u3044\u307e\u3059[2] )\u3002\u672c\u5b9f\u9a13\u3067\u7528\u3044\u308b\u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c\u306f\u3001$K_{2000}$ \u3068\u547c\u3070\u308c\u308b 2000 \u30ce\u30fc\u30c9\u306e\u5b8c\u5168\u30b0\u30e9\u30d5\u4e0a\u306e\u554f\u984c\u3067\u3059\u3002\u5b8c\u5168\u30b0\u30e9\u30d5\u3068\u306f\u3001\u5168\u3066\u306e\u9802\u70b9\u540c\u58eb\u304c\u70b9\u3067\u7d50\u3070\u308c\u3066\u3044\u308b\u30b0\u30e9\u30d5\u306e\u3053\u3068\u3092\u8a00\u3044\u307e\u3059\u3002$K_{2000}$ \u3067\u306f\u3001$J_{ij}=\\pm 1$ \u3092\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u3073\u307e\u3059\u3002\u3053\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u554f\u984c\u3092 100 \u500b\u751f\u6210\u3057\u3001\u305d\u308c\u305e\u308c\u306b\u3064\u3044\u3066\u6c42\u3081\u305f\u6700\u5927\u30ab\u30c3\u30c8\u306e\u5e73\u5747\u5024\u3092\u7b97\u51fa\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5404\u30bd\u30eb\u30d0\u306e\u5178\u578b\u7684\u306a\u6027\u80fd\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5b9f\u9a13\u3067\u306f\u3001\u4ee5\u4e0b\u306e 5 \u3064\u306e\u30b1\u30fc\u30b9\u3067\u89e3\u306e\u7cbe\u5ea6\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>MD \u306e\u307f ( \u524d\u51e6\u7406\u3060\u3051 ) : MD \u3068\u7565\u8a18<\/li>\n\n\n\n<li>MD \u3068 QA ( D-Wave_2000Q_5 ) \u306b\u3088\u308bHQA ( $n=48$ ) : HQA(DW48) \u3068\u7565\u8a18<\/li>\n\n\n\n<li>MD \u3068\u53e4\u5178\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1 ( QBSolv ) \u306b\u3088\u308b HQA ( $n=1000$ ) : HQA(TS1000) \u3068\u7565\u8a18<\/li>\n\n\n\n<li>\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 ( dwave.neal ) : SA \u3068\u7565\u8a18<\/li>\n\n\n\n<li>\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1 ( QBSolv ) : TS \u3068\u7565\u8a18<\/li>\n<\/ol>\n\n\n\n<p>SA \u3068 TS \u306f\u3001HQA \u3084 MD \u3068\u306e\u6bd4\u8f03\u306e\u305f\u3081\u306b\u7528\u3044\u308b\u53e4\u5178\u7684\u306a\u6700\u9069\u5316\u624b\u6cd5\u3067\u3059\u3002SA \u306f\u3001\u713c\u304d\u306a\u307e\u3057\u6cd5\u3068\u3082\u547c\u3070\u308c\u3001\u7269\u8cea\u3092\u904e\u71b1\u3057\u305f\u5f8c\u306b\u6e29\u5ea6\u3092\u5f90\u3005\u306b\u4e0b\u3052\u308b\u3053\u3068\u3067\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u6700\u5c0f\u5316\u3059\u308b\u7269\u7406\u7684\u30d7\u30ed\u30bb\u30b9\u306b\u7531\u6765\u3057\u307e\u3059\u3002\u6e29\u5ea6\u3092\u4e00\u6bb5\u56de\u4e0b\u3052\u308b\u904e\u7a0b\u3092\u30b9\u30a4\u30fc\u30d7\u3068\u547c\u3073\u307e\u3059\u304c\u3001\u305d\u306e\u56de\u6570\u3092\u672c\u5b9f\u9a13\u3067\u306f $N_{\\rm{sw}} =1000$ \u3068\u3057\u307e\u3059\u3002SA \u5168\u4f53\u3067\u3001\u9006\u6e29\u5ea6 $\\beta$ \u306f\u30b9\u30a4\u30fc\u30d7\u3054\u3068\u306b $\\beta_{\\rm{I}}=0.01$ \u304b\u3089 $\\beta_{\\rm{F}}=1.0$ \u307e\u3067\u5897\u52a0\u3055\u305b\u307e\u3059 ( \u9006\u6e29\u5ea6\u306f\u6e29\u5ea6 $T$ \u306e\u9006\u6570 ( $\\beta = 1\\ \/ \\ T$ )\u306a\u306e\u3067\u3001\u30b9\u30a4\u30fc\u30d7\u3054\u3068\u306b\u6e29\u5ea6\u3092\u4e0b\u3052\u3066\u3044\u304f\u3053\u3068\u306b\u5bfe\u5fdc\u3057\u307e\u3059 )\u3002TS \u306f\u3001\u63a2\u7d22\u6e08\u307f\u306e\u9818\u57df\u3092\u30bf\u30d6\u30fc\u30ea\u30b9\u30c8\u306b\u5165\u308c\u308b\u3053\u3068\u306b\u3088\u308a\u518d\u5ea6\u63a2\u7d22\u3059\u308b\u3053\u3068\u3092\u907f\u3051\u306a\u304c\u3089\u3001\u73fe\u6642\u70b9\u3067\u306e\u89e3\u306e\u8fd1\u508d\u3092\u5c40\u6240\u63a2\u7d22\u3057\u3066\u3044\u304f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93_1_%E3%81%AE%E7%B5%90%E6%9E%9C\"><\/span>\u5b9f\u9a13 1 \u306e\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u56f3 6 \u306b\u3001\u5404\u30bd\u30eb\u30d0\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u6700\u5927\u30ab\u30c3\u30c8\u3092\u793a\u3057\u307e\u3059\u3002\u6a2a\u8ef8\u306f MD \u30b9\u30c6\u30c3\u30d7 $(\\delta \\tau)^{-1}$ \u3067\u3001\u7e26\u8ef8\u306f\u6700\u5927\u30ab\u30c3\u30c8\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7e26\u8ef8\u306e\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u89e3\u306e\u7cbe\u5ea6\u306f\u826f\u3044\u3068\u8a00\u3048\u307e\u3059\u3002\u5404\u7dda\u306b\u4ed8\u3044\u3066\u3044\u308b\u8584\u8272\u306e\u5e2f\u306f $\\pm 1 \\sigma$ \u306e\u4fe1\u983c\u533a\u9593\u3092\u8868\u3057\u3066\u3044\u307e\u3059 ( $\\sigma$ \u306f\u6a19\u6e96\u504f\u5dee )\u3002\u307e\u305f\u3001$C^{\\ast}$ \u306f\u3001\u7d71\u8a08\u529b\u5b66\u7684\u306a\u89e3\u6790\u306b\u3088\u3063\u3066\u6c42\u3081\u305f $K_{2000}$ \u306e\u304a\u304a\u3088\u305d\u306e\u7406\u8ad6\u5024\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/1c4edc599c01f73cd01ded27c455cb80.png\" alt=\"\" width=\"713\" height=\"354\"\/><figcaption class=\"wp-element-caption\">\u56f36: \u5404\u30bd\u30eb\u30d0\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f $K_{2000}$ \u306b\u5bfe\u3059\u308b\u6700\u5927\u30ab\u30c3\u30c8 (<a href=\"https:\/\/doi.org\/10.1038\/s41598-021-87676-z\">https:\/\/doi.org\/10.1038\/s41598-021-87676-z<\/a>)<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 6 \u304b\u3089\u3001MD \u30b9\u30c6\u30c3\u30d7\u6570\u3092\u5897\u3084\u3059\u307b\u3069\u3001MD \u304a\u3088\u3073 HQA \u306e\u7cbe\u5ea6\u306f\u5411\u4e0a\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001MD \u5358\u72ec\u3067\u306f $500,000$ \u56de\u306e MD \u30b9\u30c6\u30c3\u30d7\u3067 $C^{\\ast}$ \u304b\u3089 $0.4\\%$ \u306e\u8aa4\u5dee\u307e\u3067\u5230\u9054\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u306e\u8aa4\u5dee\u3068\u306f\u3001\u8a72\u5f53\u3059\u308b\u6700\u5927\u30ab\u30c3\u30c8 $C$ \u306b\u5bfe\u3057\u3066\u3001${100\\times(C^{\\ast}-C)}\/{C^{\\ast}}\\ (\\%)$ \u3067\u6c42\u3081\u3089\u308c\u308b\u5272\u5408\u3067\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u3053\u306e\u5024\u304c\u5c0f\u3055\u3044\u307b\u3069\u7cbe\u5ea6\u304c\u9ad8\u3044\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>$500,000$ \u56de\u306e MD \u30b9\u30c6\u30c3\u30d7\u3068\u540c\u7b49\u306e\u8a08\u7b97\u6642\u9593\u3067\u5f97\u3089\u308c\u305f SA \u306e\u7cbe\u5ea6\u306f\u8aa4\u5dee $0.6\\%$\u3001TS \u306e\u7cbe\u5ea6\u306f\u8aa4\u5dee $0.8\\%$ \u3067\u3042\u308b\u305f\u3081\u3001MD \u5358\u72ec\u3067\u4ed6\u306e\u53e4\u5178\u30bd\u30eb\u30d0\u3088\u308a\u3082\u9ad8\u3044\u7cbe\u5ea6\u304c\u51fa\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3055\u3089\u306b\u3001( 500,000 MD \u30b9\u30c6\u30c3\u30d7 ) + ( QA or TS ) \u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u65b9\u5f0f HQA \u306b\u3064\u3044\u3066\u3001HQA(DW48) \u306f\u8aa4\u5dee $0.3\\%$\u3001HQA(TS1000) \u306f\u8aa4\u5dee $0.2\\%$ \u306e\u7cbe\u5ea6\u307e\u3067\u5411\u4e0a\u3057\u3066\u3044\u307e\u3059\u3002MD \u3092\u7528\u3044\u305f\u30bd\u30eb\u30d0\u306e\u7cbe\u5ea6\u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001\u3044\u305a\u308c\u306e MD \u30b9\u30c6\u30c3\u30d7\u306b\u304a\u3044\u3066\u3082 MD $&lt;$ HQA(DW48) $&lt;$ HQA(TS1000) \u3068\u306a\u3063\u3066\u304a\u308a\u3001HQA(TS1000) \u304c\u6700\u3082\u9ad8\u7cbe\u5ea6\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93_2_%E3%82%A4%E3%82%B8%E3%83%B3%E3%82%B0%E3%82%B9%E3%83%94%E3%83%B3%E3%82%B0%E3%83%A9%E3%82%B9%E5%95%8F%E9%A1%8C\"><\/span>\u5b9f\u9a13 2 : \u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93_2_%E3%81%AE%E8%A8%AD%E5%AE%9A\"><\/span>\u5b9f\u9a13 2 \u306e\u8a2d\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c\u3092\u7528\u3044\u3066 HQA \u306e\u89e3\u306e\u7cbe\u5ea6\u3092\u691c\u8a3c\u3057\u307e\u3059\u3002\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3042\u308b $J_{ij}$ \u3068 $h_i$ \u3092\u3001\u305d\u308c\u305e\u308c\u533a\u9593 $-1\\le J_{ij}\\le +1$ \u3068 $-2\\le h_i \\le +2$ \u304b\u3089\u30e9\u30f3\u30c0\u30e0\u306b\u9078\u3073\u307e\u3059\u3002\u3053\u306e\u30e9\u30f3\u30c0\u30e0\u306a\u554f\u984c\u3092 100 \u500b\u751f\u6210\u3057\u3066\u3001\u305d\u308c\u305e\u308c\u306b\u3064\u3044\u3066\u6c42\u3081\u305f\u6700\u5c0f\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5e73\u5747\u5024 $E\\equiv \\left\\langle \\mathcal{H}_{\\rm{Ising}}^{(\\rm{min})(s)} \\right\\rangle$ \u3092\u7b97\u51fa\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u5404\u30bd\u30eb\u30d0\u306e\u5178\u578b\u7684\u306a\u6027\u80fd\u3092\u8a55\u4fa1\u3057\u307e\u3059 ( \u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u5f0f (1) \u306e $\\mathcal{H}_{\\rm{Ising}}$ \u306e\u5024\u3067\u3059 )\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5b9f\u9a13\u3067\u306f\u3001\u4ee5\u4e0b\u306e 6 \u3064\u306e\u30b1\u30fc\u30b9\u3067\u89e3\u306e\u7cbe\u5ea6\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>MD \u306e\u307f ( \u524d\u51e6\u7406\u3060\u3051 ) : MD \u3068\u7565\u8a18<\/li>\n\n\n\n<li>MD \u3068 QA ( D-Wave_2000Q_5 ) \u306b\u3088\u308b HQA ( $n=48$ ) : HQA(DW48) \u3068\u7565\u8a18<\/li>\n\n\n\n<li>MD \u3068\u53e4\u5178\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1 ( QBSolv ) \u306b\u3088\u308bHQA ( $n$ \u304c\u5c0f\u3055\u3044\u5834\u5408 ) : HQA(TS( $n$ \u306e\u5024 )) \u3068\u7565\u8a18<\/li>\n\n\n\n<li>MD \u3068\u53e4\u5178\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1 ( QBSolv )\u306b\u3088\u308b HQA ( $n$ \u304c\u5927\u304d\u3044\u5834\u5408 ) : HQA(TS( $n$ \u306e\u5024 )) \u3068\u7565\u8a18<\/li>\n\n\n\n<li>\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 ( dwave.neal ) : SA \u3068\u7565\u8a18<\/li>\n\n\n\n<li>\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1 ( QBSolv ) : TS \u3068\u7565\u8a18<\/li>\n<\/ol>\n\n\n\n<p>SA \u306e\u30b9\u30a4\u30fc\u30d7\u56de\u6570\u306f\u5b9f\u9a13 1 \u3068\u540c\u69d8\u3001$N_{\\rm{sw}} =1000$ \u3068\u3057\u3001\u9006\u6e29\u5ea6 $\\beta$ \u306f\u30b9\u30a4\u30fc\u30d7\u3054\u3068\u306b $\\beta_{\\rm{I}}=0.01$ \u304b\u3089 $\\beta_{\\rm{F}}=1.0 $ \u307e\u3067\u5897\u52a0\u3055\u305b\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u672c\u5b9f\u9a13\u3067\u306f\u3001\u554f\u984c\u30b5\u30a4\u30ba $N$ \u3092 $N = 1000,\\ 2000,\\ 10000$ \u3068\u5909\u5316\u3055\u305b\u3001\u554f\u984c\u30b5\u30a4\u30ba\u306b\u5bfe\u3059\u308b\u5404\u30bd\u30eb\u30d0\u306e\u4f9d\u5b58\u6027\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002\u3055\u3089\u306b\u3001HQA(TS) \u306b\u3064\u3044\u3066\u306f\u3001\u6574\u6570 $n$ \u306e\u5024\u3092\u5909\u5316\u3055\u305b\u3001$n$ \u306e\u5927\u304d\u3055\u306b\u3088\u308b\u7cbe\u5ea6\u306e\u9055\u3044\u3082\u78ba\u8a8d\u3057\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001$N=1,000$ \u306e\u3068\u304d\u306b $n=500$ \u3068 $n=800$\u3001$N=2,000$ \u306e\u3068\u304d\u306b $n=500$ \u3068 $n=1,000$ \u3001$N=10,000$ \u306e\u3068\u304d\u306b $n=1,000$ \u3068 $n=4,000$ \u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93_2_%E3%81%AE%E7%B5%90%E6%9E%9C\"><\/span>\u5b9f\u9a13 2 \u306e\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u56f3 7 \u306b\u3001\u5404\u30bd\u30eb\u30d0\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u6700\u5c0f\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u793a\u3057\u307e\u3059\u3002\u6a2a\u8ef8\u306f MD \u30b9\u30c6\u30c3\u30d7 $(\\delta \\tau)^{-1}$ \u3067\u3001\u7e26\u8ef8\u306f\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5024\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7e26\u8ef8\u306e\u5024\u304c\u5c0f\u3055\u3044\u307b\u3069\u89e3\u306e\u7cbe\u5ea6\u306f\u826f\u3044\u3068\u8a00\u3048\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/07\/0a77b3287f9042fa50acfeba91485803-1024x710.png\" alt=\"\" width=\"724\" height=\"502\"\/><figcaption class=\"wp-element-caption\">\u56f37: \u5404\u30bd\u30eb\u30d0\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c\u306b\u5bfe\u3059\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u3002 (a) N=1,000\u3001(b) 2,000\u3001(c) N=10,000\u3002( <a href=\"https:\/\/doi.org\/10.1038\/s41598-021-87676-z\">https:\/\/doi.org\/10.1038\/s41598-021-87676-z<\/a> )<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 7 \u304b\u3089\u3001\u3044\u305a\u308c\u306e\u554f\u984c\u30b5\u30a4\u30ba\u306b\u304a\u3044\u3066\u3082\u3001MD \u30b9\u30c6\u30c3\u30d7\u6570\u3092\u5897\u3084\u3059\u307b\u3069\u3001MD \u3092\u7528\u3044\u305f\u30bd\u30eb\u30d0\u306e\u7cbe\u5ea6\u306f\u5411\u4e0a\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u3053\u308c\u3089\u306e\u7cbe\u5ea6\u306f\u3001\u3044\u305a\u308c\u306e MD \u30b9\u30c6\u30c3\u30d7\u306b\u304a\u3044\u3066\u3082 MD $&lt;$ HQA(DW) $&lt;$ HQA(TS( $n$ \u304c\u5c0f\u3055\u3044\u5834\u5408 )) $&lt;$ HQA( TS( $n$ \u304c\u5927\u304d\u3044\u5834\u5408 )) \u3068\u306a\u3063\u3066\u304a\u308a\u3001HQA(TS( $n$ \u304c\u5927\u304d\u3044\u5834\u5408 )) \u304c\u6700\u3082\u9ad8\u7cbe\u5ea6\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002HQA(DW) \u3088\u308a\u3082 HQA(TS) \u304c\u9ad8\u7cbe\u5ea6\u306a\u306e\u306f\u5b9f\u9a13 1 \u3068\u540c\u69d8\u306e\u7d50\u679c\u3067\u3059\u304c\u3001$n$ \u304c\u5927\u304d\u304f\u306a\u308b\u3068\u3001HQA(TS) \u306e\u7cbe\u5ea6\u306f\u3055\u3089\u306b\u5411\u4e0a\u3057\u3066\u3044\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001ambivalent \u3068\u307f\u306a\u3057\u3066 TS \u3067\u89e3\u304f\u5909\u6570\u3092\u5897\u3084\u3057\u305f\u65b9\u304c\u826f\u3044\u7cbe\u5ea6\u304c\u51fa\u3066\u3044\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$500,000$ \u56de\u306e MD \u30b9\u30c6\u30c3\u30d7\u3068\u540c\u7b49\u306e\u8a08\u7b97\u6642\u9593\u3067\u5f97\u3089\u308c\u305f SA \u3084 TS \u306e\u7cbe\u5ea6\u3068\u6bd4\u8f03\u3059\u308b\u3068\u3001$N=1,000$ \u3067\u306f\u3001MD \u3092\u7528\u3044\u305f\u30bd\u30eb\u30d0\u306f\u304a\u304a\u3088\u305d SA \u4ee5\u4e0a\u3001TS \u4ee5\u4e0b\u306e\u7cbe\u5ea6\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u305d\u3057\u3066\u3001$N=2,000$ \u306b\u306a\u308b\u3068\u3001MD \u3092\u7528\u3044\u305f\u30bd\u30eb\u30d0\u306f\u5168\u3066 SA \u3068 TS \u306e\u7cbe\u5ea6\u3092\u8d85\u3048\u3066\u304a\u308a\u3001\u3055\u3089\u306b$N=10,000$ \u3067\u306f\u3001SA \u3068 TS \u306e\u7cbe\u5ea6\u3092\u5927\u304d\u304f\u51cc\u99d5\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001MD \u3092\u7528\u3044\u305f\u30bd\u30eb\u30d0\u306f\u3001\u554f\u984c\u30b5\u30a4\u30ba\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u3001SA \u3084 TS \u3068\u6bd4\u8f03\u3057\u305f\u3068\u304d\u306b\u7cbe\u5ea6\u304c\u5411\u4e0a\u3059\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span>\u7d50\u8ad6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u524d\u51e6\u7406\u306b\u5229\u7528\u3059\u308b\u53e4\u5178 \uff65 \u91cf\u5b50\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u65b9\u5f0f HQA \u3092\u958b\u767a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u672c\u624b\u6cd5\u3067\u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c $K_{2000}$ \u3092\u89e3\u3044\u305f\u7d50\u679c\u3001HQA(TS1000) \u304c\u540c\u7b49\u306e\u8a08\u7b97\u6642\u9593\u306e SA \u3084 TS \u306b\u6bd4\u3079\u3066\u6700\u3082\u826f\u3044\u7cbe\u5ea6\u3068\u306a\u308a\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c\u3092\u89e3\u3044\u305f\u7d50\u679c\u3001\u554f\u984c\u30b5\u30a4\u30ba $N$ \u304c $2,000$ \u3084 $10,000$ \u306b\u306a\u308b\u3068\u3001MD \u3092\u7528\u3044\u305f\u30bd\u30eb\u30d0\u306f SA \u3084 TS \u3092\u8d85\u3048\u308b\u7cbe\u5ea6\u3068\u306a\u308a\u3001HQA(TS ( $n$ \u304c\u5927\u304d\u3044\u5834\u5408 )) \u304c\u6700\u3082\u826f\u3044\u7cbe\u5ea6\u3068\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u306e\u7d50\u679c\u304b\u3089\u3001HQA \u306b\u3088\u3063\u3066\u3001\u554f\u984c\u30b5\u30a4\u30ba\u304c\u6570\u5343\u5909\u6570\u3092\u8d85\u3048\u308b\u5927\u898f\u6a21\u306a\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u9ad8\u7cbe\u5ea6\u3067\u89e3\u3051\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u672c\u624b\u6cd5\u306b\u3088\u3063\u3066 QA \u306e\u5927\u898f\u6a21\u6027\u80fd\u3092\u88dc\u5b8c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u305f\u3068\u8a00\u3048\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%E6%9B%B8%E3%81%8D\"><\/span>\u3042\u3068\u66f8\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u3068\u3044\u3046\u53e4\u5178\u529b\u5b66\u306b\u57fa\u3065\u304f\u8a08\u7b97\u6a5f\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u6cd5\u3092\u9023\u7d9a\u6700\u9069\u5316\u306e\u624b\u6cd5\u3068\u3057\u3066\u7528\u3044\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u7d44\u5408\u308f\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u70b9\u304c\u9762\u767d\u3044\u3068\u611f\u3058\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u524d\u51e6\u7406\u3068\u3057\u3066\u4f7f\u7528\u3059\u308b\u9023\u7d9a\u6700\u9069\u5316\u624b\u6cd5\u3092\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u4ee5\u5916\u306e\u3082\u306e\u306b\u5909\u3048\u305f\u6642\u306b\u3001\u5f97\u3089\u308c\u308b\u89e3\u306e\u7cbe\u5ea6\u3084\u8a08\u7b97\u6642\u9593\u306b\u306f\u3069\u306e\u3088\u3046\u306a\u9055\u3044\u304c\u73fe\u308c\u3066\u304f\u308b\u304b\u306b\u8208\u5473\u3092\u6301\u3061\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3055\u3089\u306b\u3001\u672c\u8ad6\u6587\u3067\u306f ambivalent \u5909\u6570\u3068 frozen \u5909\u6570\u3092\u9069\u5f53\u306a\u6574\u6570 $n$ \u3067\u5206\u3051\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u89e3\u304f\u5fc5\u8981\u306e\u3042\u308b ambivalent \u5909\u6570\u3092\u3055\u3089\u306b\u524a\u6e1b\u3059\u308b\u305f\u3081\u306e\u5de5\u592b\u3092\u691c\u8a0e\u3057\u305f\u3044\u3068\u611f\u3058\u307e\u3057\u305f\u3002\u305d\u308c\u306b\u95a2\u9023\u3057\u3066\u3001ambivalent \u5909\u6570\u306e\u4e2d\u3067\u3082\u6b86\u3069\u7b26\u53f7\u304c\u56fa\u5b9a\u3055\u308c\u3066\u3044\u308b ( frozen \u306a ) \u5909\u6570\u3092\u6d3b\u304b\u3057\u305f<a href=\"\/T-Wave\/?p=2306\">\u30ea\u30d0\u30fc\u30b9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<\/a> [3] \u306e\u9069\u7528\u3082\u52b9\u679c\u7684\u306a\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u8003\u3048\u307e\u3057\u305f\u3002<\/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>\u53c2\u8003\u6587\u732e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u795e\u5c71\u65b0\u4e00 \uff65 \u4f50\u85e4\u660e : \u5206\u5b50\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u8b1b\u5ea7 \u5206\u5b50\u52d5\u529b\u5b66\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3 (\u65b0\u88c5\u7248) , \u671d\u5009\u66f8\u5e97 (2020)\uff0e<\/li>\n\n\n\n<li>T-Wave \u7528\u8a9e\u96c6 \u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c : <a href=\"\/T-Wave\/?p=3866\">\/T-Wave\/?p=3866<\/a><\/li>\n\n\n\n<li>T-Wave \u7528\u8a9e\u96c6 \u30ea\u30d0\u30fc\u30b9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 : <a href=\"\/T-Wave\/?p=2306\">\/T-Wave\/?p=2306<\/a><\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><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\n\n\n<p>\u9ad8\u6797\u6cf0\u6210 ( \u30e1\u30f3\u30bf\u30ea\u30f3\u30b0 : \u7fbd\u5834\u5ec9\u4e00\u90ce )<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u53e4\u5178\u30fb\u91cf\u5b50\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u306e\u6700\u9069\u5316\u624b\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002\u305d\u3057\u3066\u3001\u672c\u624b\u6cd5\u3092\u7528\u3044\u3066\u6700\u5927\u30ab\u30c3\u30c8\u554f\u984c\u3068\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u554f\u984c\u3092\u89e3\u304d\u3001\u5f97\u3089\u308c\u308b\u89e3\u306e\u7cbe\u5ea6\u3084\u8a08\u7b97\u6642\u9593\u3092\u53e4\u5178\u7684\u6700\u9069\u5316\u624b\u6cd5 ( \u30bf\u30d6\u30fc\u30b5\u30fc\u30c1\u3084\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 ) \u3068\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":12,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[10,11,21,32,50,101,112,122],"class_list":["post-3803","post","type-post","status-publish","format-standard","hentry","category-review","tag-d-wave","tag-d-wave-2000q","tag-karp21np","tag-qbsolv","tag-50","tag-101","tag-112","tag-122"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u306b\u3088\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 - 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\/2022\/08\/08\/\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u306b\u3088\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5206\u5b50\u52d5\u529b\u5b66\u6cd5\u306b\u3088\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 - T-QARD Harbor\" \/>\n<meta property=\"og:description\" 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