{"id":3230,"date":"2022-07-26T09:00:00","date_gmt":"2022-07-26T00:00:00","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=3230"},"modified":"2022-07-26T09:00:00","modified_gmt":"2022-07-26T00:00:00","slug":"%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%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\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/","title":{"rendered":"\u7a7a\u6e2f\u7ba1\u5236\u306e\u767a\u7740\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u3092\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u6700\u9069\u5316\u3059\u308b\u305f\u3081\u306b\u306f"},"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\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%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\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%95%8F%E9%A1%8C\" >\u554f\u984c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E6%96%B9%E6%B3%95\" >\u65b9\u6cd5<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%AE%9A%E7%BE%A9\" >\u5b9a\u7fa9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#QUBO\" >QUBO<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0\" >\u76ee\u7684\u95a2\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E5%88%B6%E7%B4%84%E6%9D%A1%E4%BB%B6\" >\u5236\u7d04\u6761\u4ef6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#QUBO%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\" >QUBO\u306e\u5b9a\u5f0f\u5316<\/a><\/li><\/ul><\/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\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88\" >\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<\/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\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3\/#%E8%A8%88%E7%AE%97%E7%B5%90%E6%9E%9C%E3%81%AE%E8%A9%95%E4%BE%A1\" >\u8a08\u7b97\u7d50\u679c\u306e\u8a55\u4fa1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%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\" >&nbsp;\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%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-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/07\/26\/%e7%a9%ba%e6%b8%af%e7%ae%a1%e5%88%b6%e3%81%ae%e7%99%ba%e7%9d%80%e3%82%b2%e3%83%bc%e3%83%88%e5%89%b2%e3%82%8a%e5%bd%93%e3%81%a6%e3%82%92%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%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/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<p><span style=\"font-weight: 400;\">\u30bf\u30a4\u30c8\u30eb\uff1aFlight Gate Assignment with a Quantum Annealer<br>\u8457\u8005\uff1aTobias Stollenwerk, Elisabeth Lobe, Martin Jung<br>\u66f8\u8a8c\u60c5\u5831\uff1a<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a><\/span><\/p>\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>\u822a\u7a7a\u6a5f\u306b\u5bfe\u3059\u308b\u767a\u7740\u30b2\u30fc\u30c8\u306e\u5272\u308a\u5f53\u3066\u306f\u822a\u7a7a\u7ba1\u5236\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u696d\u52d9\u306e\u4e00\u3064\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u969b\u3001\u6700\u3082\u52b9\u7387\u826f\u3044\u3088\u3046\u306a\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u3092\u6c42\u3081\u305f\u3044\u308f\u3051\u3060\u304c\u3001\u3053\u308c\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u3053\u306e\u3088\u3046\u306a\u554f\u984c\u3067\u306f\u6700\u9069\u89e3\u3092\u9ad8\u901f\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u56f0\u96e3\u3067\u3042\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u672c\u8ad6\u6587\u3067\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u3088\u3046\u306a\u65b0\u3057\u3044\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u6709\u7528\u6027\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u73fe\u5b9f\u4e16\u754c\u306e\u554f\u984c\u3067\u306f\u6570\u591a\u304f\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u5fc5\u8981\u3068\u3059\u308b\u305f\u3081\u3001\u73fe\u72b6\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u305d\u306e\u307e\u307e\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u554f\u984c\u306e\u69cb\u9020\u3092\u7dad\u6301\u3057\u305f\u307e\u307e\u3001\u30c7\u30fc\u30bf\u3092\u524d\u51e6\u7406\u3059\u308b\u3053\u3068\u3067\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u524a\u6e1b\u3059\u308b\u3053\u3068\u3092\u8a66\u307f\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%95%8F%E9%A1%8C\"><\/span>\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u73fe\u4ee3\u306e\u7a7a\u6e2f\u7ba1\u7406\u306b\u304a\u3044\u3066\u306f\u3001\u4e57\u5ba2\u3001\u822a\u7a7a\u6a5f\u3092\u542b\u3081\u305f\u5168\u4f53\u7684\u306a\u52d5\u304d\u306e\u7ba1\u7406\u304c\u6c42\u3081\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u3046\u3061\u306e\u4e00\u3064\u3068\u3057\u3066\u3001\u822a\u7a7a\u6a5f\u306b\u5bfe\u3059\u308b\u9069\u5207\u306a\u767a\u7740\u30b2\u30fc\u30c8\u306e\u5272\u308a\u5f53\u3066\u304c\u3042\u3052\u3089\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u306e\u554f\u984c\u306f\u4e8c\u6b21\u5272\u308a\u5f53\u3066\u306e\u554f\u984c\u306b\u8a72\u5f53\u3057\u3001\u73fe\u5b9f\u7684\u306a\u6642\u9593\u3067\u6700\u9069\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u96e3\u3057\u3044\u3068\u3055\u308c\u308b\u554f\u984c\u306b\u8a72\u5f53\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u3053\u306e\u554f\u984c\u306b\u5bfe\u3057\u3066\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u3088\u3046\u306a\u65b0\u3057\u3044\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u6709\u7528\u6027\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002\u6b21\u7ae0\u3067\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u554f\u984c\u3092\u6271\u3046\u624b\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%B9%E6%B3%95\"><\/span>\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306f\u3001QUBO\u3068\u547c\u3070\u308c\u308b\u5f62\u5f0f\u306e\u6700\u9069\u5316\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u672c\u7ae0\u3067\u306f\u3001\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u554f\u984c\u3092QUBO\u3068\u3057\u3066\u8868\u73fe\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9A%E7%BE%A9\"><\/span>\u5b9a\u7fa9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u307e\u305a\u521d\u3081\u306b\u4e57\u5ba2\u3092<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u51fa\u767a<\/li><li>\u5230\u7740<\/li><li>\u4e57\u308a\u63db\u3048<\/li><\/ol>\n\n\n\n<p>\u306e\uff13\u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u3051\u3001\u305d\u308c\u305e\u308c\u306e\u30b0\u30eb\u30fc\u30d7\u306b\u5bfe\u3057\u3066\u4ee5\u4e0b\u306e\u56f3\uff11\u306e\u3088\u3046\u306a\u5b9a\u6570\u3092\u8a2d\u5b9a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/4497aab2fe8749f1c66399bb9423e8cc.jpg\" alt=\"\" class=\"wp-image-3247\" width=\"623\" height=\"350\"\/><figcaption>\u56f3\uff11. \u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u554f\u984c\u306b\u304a\u3051\u308b\u5b9a\u6570<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u6b21\u306b\u3001\u3069\u306e\u822a\u7a7a\u6a5f\u3092\u3069\u306e\u30b2\u30fc\u30c8\u306b\u5272\u308a\u5f53\u3066\u308b\u304b\u3092\u8868\u3059\u4e8c\u5024\u5909\u6570\u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation} x_{i\\alpha} = \\begin{cases} 1 &amp; \\text{(\u822a\u7a7a\u6a5f$i$($\\in F$)\u3092\u30b2\u30fc\u30c8$\\alpha$($\\in G$)\u306b\u5272\u308a\u5f53\u3066\u308b\u5834\u5408)} \\\\ 0 &amp; \\text{(\u305d\u306e\u4ed6\u306e\u5834\u5408)} \\end{cases} \\end{equation}<br>$$<\/p>\n\n\n\n<p>\u3053\u308c\u3089\u306e\u5b9a\u6570\u3068\u5909\u6570\u3092\u7528\u3044\u3066QUBO\u3068\u547c\u3070\u308c\u308b\u5f62\u5f0f\u3067\u5b9a\u5f0f\u5316\u3092\u884c\u3044\u307e\u3059\u3002QUBO\u5f62\u5f0f\u3067\u306f\u4ee5\u4e0b\u306e\u5f0f\u3067\u8868\u3055\u308c\u308b\u3088\u3046\u306a\u4e8c\u5024\u5909\u6570x\u306e\u4e8c\u6b21\u95a2\u6570\u3092\u6700\u5c0f\u5316\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{equation}<br>q(x) = x^TQx = \\sum_{j=1}^{n}Q_{jj}x_j + \\sum_{j,k=1,j&lt;k}^{n}Q_{jk}x_jx_k<br>\\end{equation}<br>$$<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"QUBO\"><\/span>QUBO<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4eca\u56de\u5b9a\u7fa9\u3059\u308bQUBO\u306f\u76ee\u7684\u95a2\u6570\u3068\u5236\u7d04\u9805\u306e\u548c\u3067\u8868\u3055\u308c\u307e\u3059\u3002\u76ee\u7684\u95a2\u6570\u306f\u554f\u984c\u3092\u89e3\u304f\u4e0a\u3067\u6700\u5c0f\u5316\u3057\u305f\u3044\u5024\u3092\u8868\u3057\u307e\u3059\u3002\u4e00\u65b9\u3001\u5236\u7d04\u9805\u306f\u554f\u984c\u3092\u89e3\u304f\u4e0a\u3067\u6e80\u305f\u3055\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u6761\u4ef6\u3092\u9055\u53cd\u3059\u308b\u5834\u5408\u306b\u8ffd\u52a0\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u8ab2\u3059\u305f\u3081\u306e\u3082\u306e\u3067\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u305d\u306e\u4e8c\u3064\u306b\u3064\u3044\u3066\u5b9a\u5f0f\u5316\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0\"><\/span>\u76ee\u7684\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u5b9a\u7fa9\u3067\u8ff0\u3079\u305f\u3088\u3046\u306b\u4e57\u5ba2\u3092\uff13\u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u3051\u305f\u305f\u3081\u3001\u76ee\u7684\u95a2\u6570\u3082\u540c\u69d8\u306e\u5206\u3051\u65b9\u3092\u3057\u307e\u3059\u3002\u307e\u305a 1.\u51fa\u767a 2.\u5230\u7740 \u306e\u30b0\u30eb\u30fc\u30d7\u306b\u3064\u3044\u3066\u3001\u3053\u308c\u3089\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u4e57\u964d\u6642\u9593\u306f\u6b21\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} T^{arr\/dep}(x) = \\sum_{i\\alpha}n^{arr\/dep}_it^{arr\/dep}_\\alpha x_{i\\alpha} \\end{equation}<\/div>\n\n\n\n<p>\u6b21\u306b 3.\u4e57\u308a\u7d99\u304e \u306e\u30b0\u30eb\u30fc\u30d7\u306e\u4e57\u964d\u6642\u9593\u306f\u6b21\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} T^{trans}(x) = \\sum_{i\\alpha j\\beta}n_{ij}t_{\\alpha \\beta}x_{i\\alpha}x_{i\\beta} \\end{equation}<\/div>\n\n\n\n<p>\u3059\u3079\u3066\u306e\u4e57\u5ba2\u306e\u4e57\u308a\u63db\u3048\u6642\u9593\u306f\u3053\u308c\u304b\u3089\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u79fb\u52d5\u6642\u9593\u306e\u7dcf\u548c\u3067\u8868\u3055\u308c\u3001\u76ee\u7684\u95a2\u6570\u306f\u6b21\u5f0f\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} T(x)=T^{arr}(x)+T^{dep}+T^{trans}(x) \\end{equation}<\/div>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E6%9D%A1%E4%BB%B6\"><\/span>\u5236\u7d04\u6761\u4ef6<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u672c\u8ad6\u6587\u306e\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u4e0a\u3067\u306f\u6b21\u306e\u4e8c\u3064\u306e\u5236\u7d04\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>\u5404\u822a\u7a7a\u6a5f\u306f\u305f\u30601\u3064\u306e\u30b2\u30fc\u30c8\u306b\u5272\u308a\u5f53\u3066\u3089\u308c\u308b\u3002<\/li><li>\u5404\u30b2\u30fc\u30c8\u306b\u306f\u3061\u3087\u3046\u30691\u53f0\u306e\u822a\u7a7a\u6a5f\u304c\u5272\u308a\u5f53\u3066\u3089\u308c\u308b\u3002<\/li><\/ol>\n\n\n\n<p>\u307e\u305a\u5236\u7d041.\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} C^{one}(x)=\\sum_i(\\sum_\\alpha x_{i\\alpha}-1)^2 \\begin{cases} &gt;0 &amp; \\text{(\u5236\u7d04\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408)} \\\\ =0 &amp; \\text{(\u5236\u7d04\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u5834\u5408)} \\end{cases} \\end{equation}<\/div>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u5236\u7d04\u9805\u306e\u5f37\u3055\u3092$\\lambda$\u3092\u7528\u3044\u3066\u8abf\u7bc0\u3057\u307e\u3059\u3002\u5236\u7d04\u9805\u306e\u4e2d\u3067\u5236\u7d041.\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} \\lambda ^{one}C^{one}(x) \\end{equation}<\/div>\n\n\n\n<p>\u6b21\u306b\u5236\u7d042. \u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} C^{not}(x) = \\sum_\\alpha \\sum_{(i,j)\\in P}x_{i\\alpha}x_{i\\beta} \\begin{cases} &gt;0 &amp; \\text{(\u5236\u7d04\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408)} \\\\ =0 &amp; \\text{(\u5236\u7d04\u304c\u6e80\u305f\u3055\u308c\u3066\u3044\u308b\u5834\u5408)} \\end{cases} \\end{equation}<\/div>\n\n\n\n<p>\u305f\u3060\u3057\u4e0a\u5f0f\u306b\u304a\u3051\u308b$P$\u306f\u3001\u822a\u7a7a\u6a5f$j$\u3078\u306e\u4e57\u5ba2\u306e\u4e57\u308a\u8fbc\u307f\u6642\u9593\u304c\u3001\u822a\u7a7a\u6a5f$i$\u3078\u306e\u4e57\u5ba2\u306e\u4e57\u308a\u8fbc\u307f\u6642\u9593\u3088\u308a\u9577\u304f\u3001\u822a\u7a7a\u6a5f\u304b\u3089\u964d\u308a\u308b\u6642\u9593\u3068\u305d\u306e\u30b2\u30fc\u30c8\u306e\u5207\u308a\u66ff\u3048\u6642\u9593\u306e\u548c\u3088\u308a\u3082\u77ed\u30442\u6a5f\u306e\u822a\u7a7a\u6a5f\u306e\u7d44\u306e\u96c6\u5408\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} P = \\lbrace (i,j)\\in\\mathbb{F}, t_i^{in}&lt;t_j^{in}&lt;t_i^{out}+t^{buf}\\rbrace \\end{equation}<\/div>\n\n\n\n<p>\u3088\u3063\u3066\u5236\u7d042.\u306f\u5236\u7d041.\u540c\u69d8\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} \\lambda^{not}C^{not}(x) \\end{equation}<\/div>\n\n\n\n<p>\u305d\u308c\u305e\u308c\u306e\u5236\u7d04\u6761\u4ef6\u306e\u4fc2\u6570\u306f\u5236\u7d04\u9805\u306e\u5f37\u3055\u3092\u6c7a\u5b9a\u3059\u308b\u3082\u306e\u3067\u3059\u3002\u7d9a\u3044\u3066\u3001\u305d\u306e\u4fc2\u6570\u306e\u6c7a\u3081\u65b9\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u5236\u7d04\u98051. \u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u3064\u3044\u3066<\/p>\n\n\n\n<p>\u3068\u8a2d\u5b9a\u3057\u305f\u3068\u304d\u3001<\/p>\n\n\n\n<div>\\begin{equation} \\lambda^{one} = T^{one} + \\varepsilon \\quad(\\varepsilon &gt; 0) \\end{equation}<\/div>\n\n\n\n<p>\u3068\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u822a\u7a7a\u6a5f\u304c\u8907\u6570\u306e\u30b2\u30fc\u30c8\u306b\u91cd\u8907\u3057\u305f\u5834\u5408\u3001\u4f59\u5206\u3067\u304b\u3064\u554f\u984c\u5185\u3067\u6700\u3082\u91cd\u3044\u30da\u30ca\u30eb\u30c6\u30a3\u304c\u767a\u751f\u3059\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<br>\u6b21\u306b\u5236\u7d04\u98052. \u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u3064\u3044\u3066<\/p>\n\n\n\n<div>\\begin{equation} T^{not} = max_{i,\\alpha,\\gamma} \\Big( (n_i^{dep}t_\\alpha^{dep} + n_i^{arr}t_\\alpha^{arr} + max_\\beta t_{\\alpha\\beta}\\sum_j n_{ijk}) -(n_i^{dep}t_\\gamma^{dep} + n_i^{arr}t_\\gamma^{arr} + max_\\beta t_{\\beta\\gamma}\\sum_j n_{ij}) \\Big) \\end{equation}<\/div>\n\n\n\n<p>\u3068\u8a2d\u5b9a\u3057\u305f\u3068\u304d<\/p>\n\n\n\n<div>\\begin{equation} \\lambda^{not} = T^{not} + \\varepsilon \\quad(\\varepsilon &gt; 0) \\end{equation}<\/div>\n\n\n\n<p>\u3068\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u3042\u308b\u822a\u7a7a\u6a5f\u306b\u3064\u3044\u3066\u306e\u30b2\u30fc\u30c8\u5360\u6709\u6642\u9593\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u3067\u3001\u4e57\u5ba2\u306e\u6700\u60aa\u79fb\u52d5\u6642\u9593\u304c\u5927\u304d\u3044\u3082\u306e\u3092\u5229\u7528\u3057\u305f\u5834\u5408\u3001\u91cd\u3044\u30da\u30ca\u30eb\u30c6\u30a3\u304c\u767a\u751f\u3059\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"QUBO%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>QUBO\u306e\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u4e0a\u8a18\u306e\u76ee\u7684\u95a2\u6570\u3068\u5236\u7d04\u9805\u3092\u7528\u3044\u3066QUBO\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} q(x) = T(x) + \\lambda^{one}C^{one}(x) + \\lambda^{not}C^{not}(x) \\end{equation}<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88\"><\/span>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u30c7\u30fc\u30bf$L_{CC}$\u3068\u3057\u3066\u3001\u822a\u7a7a\u6a5f\u304c3-16\u6a5f\u3001\u30b2\u30fc\u30c8\u304c2-16\u53f0\u306e163\u500b\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3092\u7528\u610f\u3057\u307e\u3057\u305f\u3002\u3053\u3053\u3067\u3001\u305d\u308c\u305e\u308c\u306e\u822a\u7a7a\u6a5f\u9593\u3067\u306f\u4e57\u5ba2\u306e\u4e57\u308a\u7d99\u304e\u304c\u5fc5\u305a\u5b58\u5728\u3057\u3066\u3044\u307e\u3059\u3002\u306a\u304a\u3001\u4e57\u5ba2\u306e\u4eba\u6570\u306f\u30c9\u30a4\u30c4\u306e\u3042\u308b\u7a7a\u6e2f\u306e\u30c7\u30fc\u30bf\u3001\u4e57\u5ba2\u306e\u79fb\u52d5\u6642\u9593\u306f\u5225\u306e\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u7d50\u679c\u306b\u57fa\u3065\u3044\u305f\u3082\u306e\u3092\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u8a08\u7b97\u3067\u304d\u308b\u3088\u3046\u306b\u52a0\u5de5\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6b21\u306b\u30c7\u30fc\u30bf$L_{CC}$\u3092\u7c21\u7565\u5316\u3059\u308b\u305f\u3081\u306b\u4e57\u5ba2\u306e\u4eba\u6570\u3092$\\{ 0,1,\\cdots,N_p \\} $\uff08\u305f\u3060\u3057$N_p = \\{ 2,3,6,10 \\} $\uff09\u500b\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u3051\u3001\u3055\u3089\u306b\u4e57\u5ba2\u306e\u79fb\u52d5\u6642\u9593\u306b$\\{1,\\cdots,N_t \\}$\uff08\u305f\u3060\u3057$N_t = \\{2,3,6,10 \\}$\uff09\u306e\u3046\u3061\u306e\u9069\u5f53\u306a\u6570\u5024\u3092\u5272\u308a\u5f53\u3066\u3001\u30c7\u30fc\u30bf$L_{BP}$\u3068\u3057\u307e\u3057\u305f\u3002\u3053\u3053\u3067$L_{CC}$\u306e\u30c7\u30fc\u30bf\u306e\u76ee\u7684\u95a2\u6570$T(\\boldsymbol{x})$\u306b\u5bfe\u3059\u308b$L_{BP}$\u3068\u306e\u30c7\u30fc\u30bf\u306e\u76ee\u7684\u95a2\u6570$T(\\widehat{\\boldsymbol{x}})$\u306e\u6bd4<\/p>\n\n\n\n<div>\\begin{equation} R = \\frac{T(\\boldsymbol{x})}{T(\\boldsymbol{\\widehat{x}})} \\end{equation}<\/div>\n\n\n\n<figure><\/figure>\n\n\n\n<p>\u3092\u8003\u3048\u307e\u3059\u3002R=1\u306b\u8fd1\u3044\u307b\u3069\u30c7\u30fc\u30bfL<sub>CC<\/sub>\u304b\u3089\u30c7\u30fc\u30bfL<sub>BP<\/sub>\u3078\u306e\u52a0\u5de5\u64cd\u4f5c\u306e\u5f71\u97ff\u306f\u5c0f\u3055\u3044\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3092\u4ee5\u4e0b\u306e\u56f3\u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/819e10304e999d3ad8b9cc37bfccdde9.png\" alt=\"\" class=\"wp-image-3273\" width=\"349\" height=\"251\"\/><figcaption>\u56f32. $N_p$\u3068\u30c7\u30fc\u30bf\u52a0\u5de5\u524d\u5f8c\u306e\u76ee\u7684\u95a2\u6570\u306e\u6bd4 \uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>\uff09<br>\u305f\u3060\u3057\u5404\u7dda\u306f163\u500b\u306e\u30c7\u30fc\u30bf\u306e\u3046\u3061\u3001\u8fd1\u4f3c\u7387$R$\u306e\u4f4e\u3044\u9806\u304b\u308950,90,99,100%\u306e\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u306e\u63a8\u79fb\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/figcaption><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A8%88%E7%AE%97%E7%B5%90%E6%9E%9C%E3%81%AE%E8%A9%95%E4%BE%A1\"><\/span>\u8a08\u7b97\u7d50\u679c\u306e\u8a55\u4fa1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/1e8fe689bc9625c7472e0b13a95a75c4.png\" alt=\"\" class=\"wp-image-3275\" width=\"345\" height=\"242\"\/><figcaption>\u56f33. \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3059\u308b\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u3068\u7269\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u95a2\u4fc2\uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>\uff09<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u7528\u610f\u3057\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u3001\uff08\u56f33\uff09\u306e\u3088\u3046\u306b\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u7528\u3044\u308b\u7269\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u306f\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u306e\u5897\u52a0\u306b\u5f93\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u3068\u306f\u554f\u984c\u3092\u6271\u3046\u969b\u306b\u5fc5\u8981\u3068\u306a\u308b\u8a08\u7b97\u4e0a\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u8868\u3057\u3001\u7269\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u3068\u306f\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u5b9f\u73fe\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u5b9f\u969b\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u524d\u9805\u306b\u304a\u3051\u308bQUBO\u3067\u4e57\u5ba2\u306e\u6700\u60aa\u79fb\u52d5\u6642\u9593\u3092\u7528\u3044\u3066\u6c42\u3081\u305fQUBO\u884c\u5217\u304c\u3001\u8a08\u7b97\u306b\u5fc5\u8981\u306a\u6700\u5c0f\u306eQUBO\u306b\u5bfe\u3057\u3066\u3069\u308c\u307b\u3069\u5dee\u304c\u3042\u308b\u304b\u3092\u4ee5\u4e0b\u306e\u5f0f\u3092\u7528\u3044\u3066\u8a55\u4fa1\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} C_{QUBO} = \\frac{max_{ij}|Q_{ij}|}{min_{ij}|Q_{ij}|} \\end{equation}<\/div>\n\n\n\n<p>\u305d\u3057\u3066\u3001\u305d\u306e\u5404\u30c7\u30fc\u30bf\u306b\u5bfe\u5fdc\u3059\u308b\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u306e\u6700\u5927\u4fc2\u6570\u6bd4<\/p>\n\n\n\n<div>\\begin{equation} C_{Ising}=max \\biggl\\{ \\frac{max_i |h_{ij}|}{min_i |h_{ij}|}, \\frac{max_{ij} |J_{ij}|}{min_{ij} |J_{ij}|} \\biggr\\} \\end{equation}<\/div>\n\n\n\n<p>\u3092\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u3089\u3092\u7528\u610f\u3057\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u7528\u3044\u308b\u3068\u3001\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u5897\u52a0\u3068\u3068\u3082$C_{QUBO}$\u3001$C_{Ising}$\u306e\u3069\u3061\u3089\u3082\u5897\u52a0\u3057\u307e\u3057\u305f\u3002\u554f\u984c\u30b5\u30a4\u30ba\u304c\u5927\u304d\u304f\u306a\u308b\u3068\u7269\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u9593\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u9ad8\u968e\u8abf\u6570\u3067\u8868\u73fe\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001\u73fe\u5728\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u306f\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30c7\u30fc\u30bf\u3092\u7c21\u7565\u5316\u3059\u308b\u51e6\u7406\u3067\u3042\u308b\u30c7\u30fc\u30bf$L_{CC}$\u304b\u3089\u30c7\u30fc\u30bf$L_{BP}$\u3078\u306e\u52a0\u5de5\u3092\u884c\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/0c00c1dd36fc2778f0badb8619e40e83.png\" alt=\"\" class=\"wp-image-3284\" width=\"337\" height=\"248\"\/><figcaption>\u56f34. \u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3059\u308b\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u3068$C_{QUBO}$\u306e\u95a2\u4fc2\uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>\uff09<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u3055\u3089\u306b\u3001\u53b3\u5bc6\u89e3\u306b\u5bfe\u3059\u308b99%\u306e\u7cbe\u5ea6\u3067\u89e3\u3092\u6c42\u3081\u308b\u307e\u3067\u306e\u6642\u9593$T_{99}$\u3092\u6b21\u5f0f\u306e\u3088\u3046\u306b\u3057\u3066\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<div>\\begin{equation} T_{99} = \\frac{\\ln(1-0.99)}{\\ln(1-p)}T_{anneal} \\end{equation}<\/div>\n\n\n\n<p>$T_{anneal}$\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u8a08\u7b97\u6642\u9593\u3001$p$\u306f\u53b3\u5bc6\u89e3\u306b\u5bfe\u3059\u308b\u89e3\u306e\u7cbe\u5ea6\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4ee5\u964d\u306e\u5b9f\u9a13\u3067\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u8a08\u7b97\u6642\u9593\u3092$T_{anneal} = 20 \\mu s$\u3068\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"_%E7%B5%90%E6%9E%9C\"><\/span>&nbsp;\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/06ce7544364de2b00db77b02abbf5c16.png\" alt=\"\" class=\"wp-image-3291\" width=\"327\" height=\"214\"\/><figcaption>\u56f35. $L_{BP}$\u306b\u304a\u3051\u308b\u5185\u90e8\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u7d50\u5408$J_F$\u306b\u5bfe\u3059\u308b\u53b3\u5bc6\u89e3\u306b\u5bfe\u3059\u308b\u89e3\u306e\u7cbe\u5ea6\uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>\uff09<br>\u305f\u3060\u3057\u5404\u7dda\u306f\u53b3\u5bc6\u89e3\u306b\u5bfe\u3059\u308b\u7cbe\u5ea6$p$\u306e\u4f4e\u3044\u9806\u304b\u308935,50,75%\u306e\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u56f35\u306b\u793a\u3059\u3088\u3046\u306b\u3001\u5185\u90e8\u306e\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u7d50\u5408J<sub>F<\/sub>\u306b\u5bfe\u3059\u308b\u89e3\u306e\u7cbe\u5ea6\u306f$J_F = -1$\u306e\u6642\u3001\u6700\u3082\u9ad8\u3044\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f$J_F$\u304c\u5927\u304d\u3044\u5834\u5408\u306fD-wave\u30de\u30b7\u30f3\u306b\u5bfe\u3057\u3066\u9ad8\u3044\u968e\u8abf\u5ea6\u304c\u8981\u6c42\u3055\u308c\u3066\u3057\u307e\u3044\u3001\u30de\u30b7\u30f3\u306e\u968e\u8abf\u5ea6\u4ee5\u4e0a\u306e\u5236\u5ea6\u304c\u8981\u6c42\u3055\u308c\u3066\u3057\u307e\u3046\u305f\u3081\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u307e\u305f\u3001$J_F$\u304c\u5c0f\u3055\u3044\u5834\u5408\u306f\u3001\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u3064\u306a\u304c\u308a\u304c\u5207\u308c\u3066\u3057\u307e\u3046\u305f\u3081\u7cbe\u5ea6\u304c\u4e0b\u304c\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002<br>\u3055\u3089\u306b\u4e0b\u56f3\u306b\u793a\u3059\u3088\u3046\u306b\u3001$C_{Ising}$\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u89e3\u306e\u7cbe\u5ea6\u306f\u6e1b\u5c11\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f$C_{Ising}$\u306e\u5897\u52a0\u3068\u3068\u3082\u306b\u9ad8\u3044\u7cbe\u5ea6\u304c\u8981\u6c42\u3055\u308c\u308b\u3053\u3068\u306b\u3088\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/d995dbddcb366134ceb5e6b27b29833d.png\" alt=\"\" class=\"wp-image-3290\"\/><figcaption>\u56f36. $J_F = -1$\u3068\u3057\u305f\u6642\u306e$L_{BP}$\u306b\u304a\u3051\u308b$C_{Ising}$\u3068\u6700\u3082\u826f\u3044\u89e3\u306e\u7cbe\u5ea6\u306e\u95a2\u4fc2\uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>\uff09<\/figcaption><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/3b84f0ca3043f01d5350d2099448a742.png\" alt=\"\" class=\"wp-image-3289\"\/><figcaption>\u56f37. $L_{BP}$\u306b\u304a\u3051\u308b\u30d5\u30e9\u30a4\u30c8\u6570\u306b\u5bfe\u3059\u308b$T_{99}$\uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>) \u305f\u3060\u3057\u5404\u7dda\u306f$T_{99}$\u306e\u4f4e\u3044\u9806\u304b\u308935,50,75%\u306e\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u306e\u63a8\u79fb\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u3000\u4e0a\u56f3\u3067\u306f\u30d5\u30e9\u30a4\u30c8\u6570|F|\u306b\u5bfe\u3059\u308b\u89e3\u3092\u6c42\u3081\u308b\u307e\u3067\u306e\u6642\u9593\u306e\u95a2\u4fc2\u3092\u793a\u3057\u3066\u304a\u308a\u3001\u30d5\u30e9\u30a4\u30c8\u6570\u306e\u5897\u52a0\u306b\u4f34\u3044\u3001\u89e3\u3092\u6c42\u3081\u308b\u307e\u3067\u306e\u6642\u9593\u304c\u5897\u52a0\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u30d5\u30e9\u30a4\u30c8\u6570\u306e\u5897\u52a0\u306b\u3088\u3063\u3066\u554f\u984c\u30b5\u30a4\u30ba\u304c\u5927\u304d\u304f\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u306b\u8d77\u56e0\u3057\u3066\u304a\u308a\u3001\u3053\u306e\u3053\u3068\u306f\u4e0b\u56f3\u306e$C_{Ising}$\u306e\u5897\u52a0\u306b\u3088\u3063\u3066\u8aac\u660e\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/98c410754a554de194d5067f9f57e4ee.png\" alt=\"\" class=\"wp-image-3288\"\/><figcaption>\u56f38. $L_{BP}$\u306b\u304a\u3051\u308b\u30d5\u30e9\u30a4\u30c8\u6570\u306b\u5bfe\u3059\u308b$C_{Ising}$\uff08<a href=\"https:\/\/doi.org\/10.48550\/arXiv.1811.09465\">https:\/\/doi.org\/10.48550\/arXiv.1811.09465<\/a>\uff09<br>\u305f\u3060\u3057\u5404\u7dda\u306f$C_{Ising}$\u306e\u5c0f\u3055\u3044\u9806\u304b\u308935,50,75%\u306e\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u306e\u63a8\u79fb\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/figcaption><\/figure><\/div>\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>\u4ee5\u4e0a\u306e\u5b9f\u9a13\u304b\u3089\u3001\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u554f\u984c\u306f\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\u524d\u51e6\u7406\u3092\u65bd\u3059\u3053\u3068\u306b\u3088\u3063\u3066\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u3088\u3063\u3066\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u5168\u3066\u306e\u5834\u5408\u3067\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u307e\u305a\u3001\u8a08\u7b97\u306e\u969b\u306b\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u304c\u51e6\u7406\u3067\u304d\u308b\u4ee5\u4e0a\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u540c\u58eb\u306e\u7d50\u5408\u3092\u5fc5\u8981\u3068\u3059\u308b\u554f\u984c\u3067\u306f\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u307e\u305f\u3001\u73fe\u5b9f\u306e\u554f\u984c\u3092\u7528\u3044\u305f\u5834\u5408\u306f\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u968e\u8abf\u5ea6\u4ee5\u4e0a\u306e\u7cbe\u5ea6\u304c\u8981\u6c42\u3055\u308c\u3001\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u4e8c\u3064\u76ee\u306e\u554f\u984c\u306b\u5bfe\u3057\u3066\u306f\u3001\u672c\u8ad6\u6587\u3067\u884c\u3063\u305f\u3088\u3046\u306b$L_{CC}$\u304b\u3089$L_{BP}$\u306b\u30c7\u30fc\u30bf\u3092\u5909\u63db\u3059\u308b\u3053\u3068\u3067\u30c7\u30fc\u30bf\u306e\u985e\u4f3c\u5ea6\u3092\u5931\u3046\u3053\u3068\u306a\u304f\u3053\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\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>\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3053\u306e\u8ad6\u6587\u3092\u307e\u3068\u3081\u308b\u306b\u3042\u305f\u3063\u3066\u306f\u4f55\u5ea6\u3082\u632b\u6298\u3092\u7e70\u308a\u8fd4\u3057\u3001\u9577\u3044\u6642\u9593\u3092\u304b\u3051\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u3002\u305d\u306e\u7406\u7531\u3068\u3057\u3066\u306f\u4e8c\u3064\u306e\u70b9\u304c\u6319\u3052\u3089\u308c\u307e\u3059\u3002\u307e\u305a\u5143\u306e\u8ad6\u6587\u306b\u306f\u7d50\u8ad6\u3092\u5c0e\u304f\u307e\u3067\u306b\u30c7\u30fc\u30bf\u306e\u52a0\u5de5\u306e\u6b63\u5f53\u6027\u3092\u793a\u3059\u904e\u7a0b\u304c\u5b58\u5728\u3057\u3001\u3053\u306e\u7406\u89e3\u304c\u79c1\u306b\u3068\u3063\u3066\u306f\u96e3\u89e3\u3067\u3042\u3063\u305f\u305f\u3081\u3067\u3059\u3002\u6b21\u306b\u3001\u554f\u984c\u306e\u7d50\u8ad6\u306b\u5bfe\u3057\u3066\u79c1\u304c\u904e\u5270\u306a\u671f\u5f85\u3092\u6301\u3063\u3066\u3044\u305f\u3053\u3068\u304c\u6319\u3052\u3089\u308c\u307e\u3059\u3002\u3053\u306e\u8ad6\u6587\u306e\u7d50\u8ad6\u306f\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u554f\u984c\u3092\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u3088\u3063\u3066\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3057\u305f\u3002\u79c1\u306f\u5f53\u521d\u3001\u3053\u306e\u554f\u984c\u306b\u5bfe\u3057\u3066\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u304c\u5287\u7684\u306a\u5909\u5316\u3092\u3082\u305f\u3089\u3059\u3082\u306e\u3060\u3068\u60f3\u50cf\u3057\u3066\u3044\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u5b9f\u969b\u306b\u8aad\u307f\u9032\u3081\u3066\u3044\u304f\u3046\u3061\u306b\u3001\u305d\u3053\u306b\u306f\u4e88\u60f3\u4ee5\u4e0a\u306b\u6de1\u767d\u306a\u7d50\u679c\u304c\u793a\u3055\u308c\u3066\u304a\u308a\u56f0\u60d1\u3057\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u3002\u4eca\u56de\u306f\u7a7a\u6e2f\u3092\u4f8b\u3068\u3057\u3066\u3042\u308b\u30b2\u30fc\u30c8\u306e\u901a\u904e\u6642\u9593\u3068\u30b2\u30fc\u30c8\u9593\u306e\u79fb\u52d5\u6642\u9593\u304c\u6700\u5c0f\u306b\u306a\u308b\u3088\u3046\u306a\u89e3\u3092\u6c42\u3081\u308b\u554f\u984c\u3067\u3057\u305f\u304c\u3001\u4e00\u822c\u5316\u3059\u308b\u3053\u3068\u3067\u307b\u304b\u306b\u3082\u5fdc\u7528\u5148\u304c\u3042\u308b\u306e\u3067\u306f\u306a\u3044\u304b\u3068\u611f\u3058\u307e\u3057\u305f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u822a\u7a7a\u6a5f\u306b\u5bfe\u3059\u308b\u767a\u7740\u30b2\u30fc\u30c8\u306e\u5272\u308a\u5f53\u3066\u306f\u822a\u7a7a\u7ba1\u5236\u306b\u304a\u3044\u3066\u91cd\u8981\u306a\u696d\u52d9\u306e\u4e00\u3064\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u306e\u969b\u3001\u6700\u3082\u52b9\u7387\u826f\u3044\u3088\u3046\u306a\u30b2\u30fc\u30c8\u5272\u308a\u5f53\u3066\u3092\u6c42\u3081\u305f\u3044\u308f\u3051\u3060\u304c\u3001\u3053\u308c\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u3053\u306e\u3088\u3046\u306a\u554f\u984c\u3067\u306f\u6700\u9069\u89e3\u3092\u9ad8\u901f\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u56f0\u96e3\u3067\u3042\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u672c\u8ad6\u6587\u3067\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u3088\u3046\u306a\u65b0\u3057\u3044\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u6709\u7528\u6027\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u73fe\u5b9f\u4e16\u754c\u306e\u554f\u984c\u3067\u306f\u6570\u591a\u304f\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u5fc5\u8981\u3068\u3059\u308b\u305f\u3081\u3001\u73fe\u72b6\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u305d\u306e\u307e\u307e\u8a08\u7b97\u3092\u884c\u3046\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u554f\u984c\u306e\u69cb\u9020\u3092\u7dad\u6301\u3057\u305f\u307e\u307e\u3001\u30c7\u30fc\u30bf\u3092\u524d\u51e6\u7406\u3059\u308b\u3053\u3068\u3067\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u524a\u6e1b\u3059\u308b\u3053\u3068\u3092\u8a66\u307f\u307e\u3057\u305f\u3002<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[10,11,75,112,117,122],"class_list":["post-3230","post","type-post","status-publish","format-standard","hentry","category-review","tag-d-wave","tag-d-wave-2000q","tag-75","tag-112","tag-117","tag-122"],"yoast_head":"<!-- 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