{"id":7505,"date":"2025-03-27T15:16:21","date_gmt":"2025-03-27T06:16:21","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=7505"},"modified":"2025-10-02T18:11:43","modified_gmt":"2025-10-02T09:11:43","slug":"%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/","title":{"rendered":"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u6700\u9069\u5316\u3059\u308b"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_83 counter-hierarchy ez-toc-counter ez-toc-white ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\" >\u6587\u732e\u60c5\u5831<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E8%83%8C%E6%99%AF\" >\u80cc\u666f<\/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\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%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-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E6%96%B9%E6%B3%95\" >\u65b9\u6cd5<\/a><\/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\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E6%95%B0%E5%AD%A6%E7%9A%84%E5%AE%9A%E5%BC%8F%E5%8C%96\" >\u6570\u5b66\u7684\u5b9a\u5f0f\u5316<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#QUBO%E5%AE%9A%E5%BC%8F%E5%8C%96\" >QUBO\u5b9a\u5f0f\u5316<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E5%AE%9F%E9%A8%93\" >\u5b9f\u9a13<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%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-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2025\/03\/27\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%a7%e9%9b%bb%e5%8a%9b%e3%83%8d%e3%83%83%e3%83%88%e3%83%af%e3%83%bc%e3%82%af%e3%82%92%e6%9c%80%e9%81%a9%e5%8c%96%e3%81%99\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E4%BD%9C%E6%88%90%E8%80%85\" >\u672c\u8a18\u4e8b\u306e\u4f5c\u6210\u8005<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span>\u6587\u732e\u60c5\u5831<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>\u30bf\u30a4\u30c8\u30eb\uff1aPower network optimization: a quantum approach<\/li>\n<li>\u8457\u8005\uff1aGiuseppe Colucci, Stan van der Linde, and frank Phillipson<\/li>\n<li>\u66f8\u8a8c\u60c5\u5831\uff1a<a href=\"https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997\">https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997<\/a><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u5168\u4f53\u3067\u96fb\u529b\u3092\u52b9\u7387\u7684\u306b\u4f7f\u7528\u3059\u308b\u305f\u3081\u306b\u306f\u96fb\u529b\u306e\u4f59\u5270\u306e\u6700\u9069\u5316\u304c\u91cd\u8981\u306a\u8981\u7d20\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u3066\u96fb\u529b\u4f59\u5270\u3092\u6700\u9069\u306b\u6d3b\u7528\u3067\u304d\u308b\u3088\u3046\u306a\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u63a2\u7d22\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u307e\u3057\u305f\u3002\u305d\u3057\u3066\u3001\u30c9\u30a4\u30c4\u306e\u9001\u96fb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u306e\u96fb\u529b\u4f59\u5270\u3092\u6700\u9069\u5316\u3059\u308b\u3068\u3044\u3046\u554f\u984c\u306b\u5bfe\u3057\u3066\u3001\u91cf\u5b50\u3068\u53e4\u5178\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30bd\u30eb\u30d0\u30fc\u3068\u53e4\u5178\u30bd\u30eb\u30d0\u30fc\u306e\u305d\u308c\u305e\u308c\u3067\u7d50\u679c\u3092\u51fa\u3057\u3066\u3001\u53e4\u5178\u30bd\u30eb\u30d0\u30fc\u306b\u5bfe\u3057\u3066\u91cf\u5b50\u3068\u53e4\u5178\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30bd\u30eb\u30d0\u30fc\u304c\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5024\u304c\u3088\u308a\u4f4e\u3044\u89e3\u3092\u51fa\u3059\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%83%8C%E6%99%AF\"><\/span>\u80cc\u666f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u306f\u767a\u96fb\u6240\u3067\u4f5c\u3089\u308c\u305f\u96fb\u529b\u3092\u5168\u56fd\u307e\u3067\u9001\u308b\u305f\u3081\u306b\u7d50\u3070\u308c\u308b\u96fb\u529b\u7cfb\u7d71\u306e\u3053\u3068\u3067\u3059\u3002\u672c\u8ad6\u6587\u306b\u304a\u3044\u3066\u306f\u7279\u306b\u3001\u3042\u308b\u5730\u57df\u304c\u8907\u6570\u306e\u5730\u533a\u306b\u5206\u5272\u3055\u308c\u3066\u3044\u3066\u3001\u305d\u306e\u5730\u533a\u5185\u306e\u5730\u70b9\u540c\u58eb\u3067\u96fb\u529b\u3092\u5171\u6709\u3057\u3066\u3044\u308b\u3088\u3046\u306a\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u3053\u3068\u3092\u6307\u3057\u3066\u3044\u307e\u3059\u3002\u672c\u8a18\u4e8b\u306b\u304a\u3044\u3066\u5730\u57df\u3001\u5730\u533a\u3001\u5730\u70b9\u306e\u4f7f\u3044\u65b9\u306b\u3064\u3044\u3066\u306f\u56f31\u306e\u3068\u304a\u308a\u3067\u3001\u5730\u533a\u306f\u5730\u70b9\u306e\u96c6\u5408\u3001\u5730\u57df\u306f\u5730\u533a\u306e\u96c6\u5408\u3068\u3044\u3046\u610f\u5473\u3067\u7528\u3044\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u6700\u9069\u5316\u3059\u308b\u3068\u306f\u3001\u5730\u57df\u5168\u4f53\u3067\u7dcf\u96fb\u529b\u4f59\u5270\u3092\u6700\u5c0f\u5316\u3059\u308b\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u7dcf\u96fb\u529b\u4f59\u5270\u306e\u6700\u5c0f\u5316\u3068\u306f\u3064\u307e\u308a\u3001\u5730\u70b9\u306b\u3088\u3063\u3066\u96fb\u529b\u4f59\u5270\u306e\u5927\u5c0f\u304c\u3042\u308b\u4e2d\u3067\u3001\u305d\u306e\u5730\u70b9\u3092\u307e\u3068\u3081\u3066\u5730\u533a\u3068\u3057\u3066\u96fb\u529b\u3092\u5171\u6709\u3059\u308b\u3053\u3068\u3067\u3001\u96fb\u529b\u4f59\u5270\u306e\u5927\u304d\u3044\u5730\u70b9\u304b\u3089\u96fb\u529b\u4f59\u5270\u304c\u5c0f\u3055\u3044\u5730\u70b9\u306b\u96fb\u529b\u304c\u9001\u3089\u308c\u3066\u5730\u533a\u3084\u5730\u57df\u3068\u3057\u3066\u307f\u305f\u6642\u306b\u96fb\u529b\u306e\u4f59\u5270\u304c\u5c0f\u3055\u304f\u306a\u3063\u305f\u72b6\u614b\u306e\u3053\u3068\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u305d\u306e\u3088\u3046\u306a\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u4e2d\u3067\u69cb\u7bc9\u3059\u308b\u30b3\u30b9\u30c8\u304c\u6700\u5c0f\u306e\u3082\u306e\u3092\u63a2\u7d22\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7507\" style=\"width: 460px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7507\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/a97515d8c9c7093eec46e60374a9828c-300x228.png\" alt=\"\" width=\"450\" height=\"342\" class=\"wp-image-7507 size-medium\" \/><p id=\"caption-attachment-7507\" class=\"wp-caption-text\">\u56f31: \u5730\u70b9\u30fb\u5730\u533a\u30fb\u5730\u57df\u3092\u8868\u3059\u56f3<\/p><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E5%95%8F%E9%A1%8C\"><\/span>\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u8ad6\u6587\u3067\u306f\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6700\u9069\u5316\u3092\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u3068\u3057\u3066\u8a2d\u5b9a\u3057\u307e\u3059\u3002\u30b0\u30e9\u30d5\u3068\u306f\u9802\u70b9\u3068\u3001\u9802\u70b9\u540c\u58eb\u306e\u95a2\u4fc2\u3092\u8fba\u3068\u3057\u3066\u8868\u3057\u305f\u30c7\u30fc\u30bf\u69cb\u9020\u306e\u3053\u3068\u3067\u3059\u3002\u307e\u305f\u3001\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u3068\u306f\u56f32\u306b\u793a\u3057\u305f\u3088\u3046\u306b\u3001\u3042\u308b1\u3064\u306e\u30b0\u30e9\u30d5\u306b\u5bfe\u3057\u5206\u5272\u6570\u3092\u8a2d\u5b9a\u3057\u3066\u3001\u4e0e\u3048\u3089\u308c\u305f\u5236\u7d04\u3092\u5b88\u308a\u3064\u3064\u30b3\u30b9\u30c8\u3092\u6700\u5c0f\u5316\uff08\u6700\u5927\u5316\uff09\u3067\u304d\u308b\u3088\u3046\u306a\u5206\u5272\u65b9\u6cd5\u3092\u63a2\u308b\u554f\u984c\u306e\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u5206\u5272\u3055\u308c\u305f\u5f8c\u306e\u305d\u308c\u305e\u308c\u306e\u90e8\u5206\u3092\u30af\u30e9\u30b9\u30bf\u3068\u547c\u3073\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u9802\u70b9\u3092\u5730\u70b9\u3001\u8fba\u30922\u3064\u306e\u5730\u70b9\u306e\u9593\u306e\u9001\u96fb\u7dda\u3001\u30af\u30e9\u30b9\u30bf\u3092\u5730\u533a\u3068\u3057\u3066\u30b0\u30e9\u30d5\u3092\u8003\u3048\u307e\u3059\u3002\u305d\u3057\u3066\u6700\u5c0f\u5316\u3059\u308b\u305f\u3081\u306e\u30b3\u30b9\u30c8\u306f\u9001\u96fb\u7dda\u3092\u69cb\u7bc9\u3059\u308b\u306e\u306b\u304b\u304b\u308b\u30b3\u30b9\u30c8\u3068\u3057\u3066\u8a2d\u5b9a\u3057\u307e\u3059\u3002\u5730\u70b9\u306b\u304a\u3051\u308b\u96fb\u529b\u4f59\u5270\u306f\u305d\u306e\u5730\u70b9\u3092\u793a\u3059\u9802\u70b9\u306e\u91cd\u307f\u306b\u3088\u3063\u3066\u7b26\u53f7\u5316\u3055\u308c\u307e\u3059\u3002\u307e\u305f\u3001\u5730\u533a\u3084\u5730\u57df\u306e\u7dcf\u96fb\u529b\u4f59\u5270\u306f\u305d\u308c\u3089\u306e\u548c\u3068\u3057\u3066\u8868\u3055\u308c\u307e\u3059\u3002\u307e\u305f\u3001\u69cb\u7bc9\u3059\u308b\u30b3\u30b9\u30c8\u306f\u8fba\u306b\u5bfe\u3057\u3066\u91cd\u307f\u3092\u3064\u3051\u308b\u3053\u3068\u3067\u8003\u616e\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4ee5\u4e0a\u306e\u3088\u3046\u306a\u30b0\u30e9\u30d5\u306e\u4e2d\u3067\u3001\u305d\u308c\u305e\u308c\u306e\u30af\u30e9\u30b9\u30bf\uff08\u5730\u533a\uff09\u3067\u306e\u91cd\u307f\u306e\u7dcf\u548c\uff08\u7dcf\u96fb\u529b\u4f59\u5270\uff09\u3092\u3042\u308b\u4e00\u5b9a\u5024\u4ee5\u4e0b\u306b\u6291\u3048\u3064\u3064\u3001\u69cb\u7bc9\u3059\u308b\u30b3\u30b9\u30c8\u304c\u6700\u5c0f\u306e\u3082\u306e\u3092\u63a2\u7d22\u3057\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7553\" style=\"width: 1034px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7553\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/graph_part-1024x412.png\" alt=\"\" width=\"1024\" height=\"412\" class=\"wp-image-7553 size-large\" \/><p id=\"caption-attachment-7553\" class=\"wp-caption-text\">\u56f32: \u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u3092\u8868\u3059\u56f3<\/p><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E6%96%B9%E6%B3%95\"><\/span>\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u306f\u3001NP\u56f0\u96e3\u3068\u547c\u3070\u308c\u308b\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067\u306f\u89e3\u304f\u3053\u3068\u304c\u96e3\u3057\u3044\u554f\u984c\u3067\u3059\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u306f\u3001\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u3092\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u6700\u5c0f\u5316\u554f\u984c\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u307e\u305a\u3001\u554f\u984c\u3067\u8ff0\u3079\u305f\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u6700\u9069\u5316\u554f\u984c\u3092\u6570\u5b66\u7684\u306b\u5b9a\u5f0f\u5316\u3059\u308b\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u305d\u306e\u5f8c\u3001\u5b9f\u969b\u306b\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u3092\u7528\u3044\u3066\u89e3\u304f\u305f\u3081\u306bQUBO\u5b9a\u5f0f\u5316\u3068\u547c\u3070\u308c\u308b\u5b9a\u5f0f\u5316\u3092\u884c\u3044\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u30c9\u30a4\u30c4\u306e\u9001\u96fb\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u554f\u984c\u8a2d\u5b9a\u3092\u3057\u3001\u30ab\u30ca\u30c0\u306b\u3042\u308bD-Wave\u793e\u304c\u63d0\u4f9b\u3059\u308b\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30bd\u30eb\u30d0\u30fc\u306eCQM\u304a\u3088\u3073BQM\u3068\u3001Azure Quantum\u3067\u5229\u7528\u53ef\u80fd\u306a\u53e4\u5178\u30bd\u30eb\u30d0\u30fc\u306e\u30d1\u30e9\u30ec\u30eb\u30c6\u30f3\u30d1\u30ea\u30f3\u30b0(PT)\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0(SA)\u3001\u30b5\u30d6\u30b9\u30c8\u30ad\u30e3\u30b9\u30c6\u30a3\u30c3\u30af\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed(MC)\u304a\u3088\u3073\u30bf\u30d6\u30fc\u30b5\u30fc\u30c1(TS)\u3067\u3001\u3069\u308c\u304c\u3088\u308a\u30b3\u30b9\u30c8\u95a2\u6570\u5024\u304c\u4f4e\u3044\u89e3\u3092\u51fa\u305b\u308b\u304b\u3067\u6bd4\u8f03\u3057\u307e\u3057\u305f\u3002\u305d\u308c\u305e\u308c\u306e\u30bd\u30eb\u30d0\u30fc\u306b\u3064\u3044\u3066\u306e\u8aac\u660e\u306f\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3059\u3002\u307e\u305f\u3001\u554f\u984c\u8a2d\u5b9a\u306b\u7528\u3044\u305f\u30c7\u30fc\u30bf\u306fSciGRID\u3068\u547c\u3070\u308c\u308b\u6b27\u5dde\u9001\u96fb\u7db2\u306e\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u53c2\u7167\u30e2\u30c7\u30eb\u3067\u3059\u3002<\/p>\n<ul>\n<li>D-Wave CQM: CQM\u306fConstrained Quadratic Model\u306e\u3053\u3068\u3067\u5236\u7d04\u4ed8\u304d\u4e8c\u6b21\u30e2\u30c7\u30eb\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u5236\u7d04\u3092\u8868\u3059\u5f0f\u3092\u5225\u306b\u6301\u3064\u3001\u4e8c\u6b21\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u6700\u5c0f\u5316\u554f\u984c\u3067\u3059\u3002\u5909\u6570\u306b\u3064\u3044\u3066\u306f2\u5024\u304a\u3088\u3073\u6574\u6570\u5024\u306e\u3069\u3061\u3089\u3067\u3082\u5b9a\u7fa9\u53ef\u80fd\u3067\u3059\u3002<\/li>\n<li>D-Wave BQM: BQM\u306fBinary Quadratic Model\u306e\u3053\u3068\u3067\u30d0\u30a4\u30ca\u30ea\u4e8c\u6b21\u30e2\u30c7\u30eb\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u4e8c\u6b21\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u6700\u5c0f\u5316\u554f\u984c\u3067\u3059\u3002\u5909\u6570\u306b\u3064\u3044\u3066\u306f\u4e8c\u5024\u306e\u307f\u3067\u5b9a\u7fa9\u53ef\u80fd\u3067\u3059\u3002<\/li>\n<li>PT: \u30d1\u30e9\u30ec\u30eb\u30c6\u30f3\u30d1\u30ea\u30f3\u30b0\u3068\u306f\u5225\u540d\u30ec\u30d7\u30ea\u30ab\u4ea4\u63db\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306e\u3053\u3068\u3067\u3001\u7570\u306a\u308b\u6e29\u5ea6\u3067\u69d8\u3005\u306a\u5206\u5e03\u3092\u307e\u3068\u3081\u3001\u305d\u306e\u5206\u5e03\u306e\u96c6\u307e\u308a\u3092\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u8a08\u7b97\u306e\u5bfe\u8c61\u3068\u3059\u308b\u3053\u3068\u3067\u3001\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u52b9\u7387\u306e\u6539\u5584\u3092\u56f3\u308d\u3046\u3068\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/li>\n<li>SA: \u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3068\u306f\u5225\u540d\u713c\u304d\u306a\u307e\u3057\u6cd5\u3068\u547c\u3070\u308c\u3001\u9ad8\u6e29\u72b6\u614b\u306e\u91d1\u5c5e\u306e\u6e29\u5ea6\u3092\u5f90\u3005\u306b\u4e0b\u3052\u308b\u3068\u3001\u79e9\u5e8f\u3042\u308b\u69cb\u9020\u304c\u4f5c\u308a\u51fa\u3055\u308c\u308b\u3068\u3044\u3046\u6280\u8853\u3092\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u4e0a\u3067\u518d\u73fe\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002<\/li>\n<li>MC: \u30b5\u30d6\u30b9\u30c8\u30ad\u30e3\u30b9\u30c6\u30a3\u30c3\u30af\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u3068\u306f\u62e1\u6563\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u306e\u3072\u3068\u3064\u3067\u3001\u78ba\u7387\u5206\u5e03\u306b\u5f93\u3044population\u3092\u5897\u3084\u3057\u305f\u308a\u6368\u3066\u305f\u308a\u3057\u3001\u305d\u308c\u306b\u3088\u308b\u78ba\u7387\u5206\u5e03\u306e\u5909\u5316\u3092\u8ffd\u3046\u3082\u306e\u3067\u3059\u3002<\/li>\n<li>TS: \u30bf\u30d6\u30fc\u30b5\u30fc\u30c1\u3068\u306f\u4eba\u5de5\u77e5\u80fd\u306e\u6982\u5ff5\u306b\u57fa\u3065\u3044\u305f\u5c40\u6240\u63a2\u7d22\u6cd5\u3092\u4e00\u822c\u5316\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u57fa\u6e96\u304b\u3089\u8fd1\u508d\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u8907\u6570\u751f\u6210\u3057\u3001\u305d\u306e\u4e2d\u304b\u3089\u6700\u826f\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u9078\u3073\u51fa\u3057\u307e\u3059\u3002\u305d\u3057\u3066\u305d\u306e\u30b5\u30f3\u30d7\u30eb\u3067\u540c\u69d8\u306e\u64cd\u4f5c\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u8907\u6570\u30b5\u30f3\u30d7\u30eb\u304b\u3089\u6700\u826f\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u9078\u3073\u51fa\u3059\u3068\u3044\u3046\u64cd\u4f5c\u3092\u6bce\u56de\u30bf\u30d6\u30fc\u30ea\u30b9\u30c8\u306b\u8ffd\u52a0\u3057\u3001\u305d\u306e\u64cd\u4f5c\u306b\u3088\u308b\u30b5\u30f3\u30d7\u30eb\u751f\u6210\u3092\u884c\u308f\u306a\u3044\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u4ee5\u4e0a\u306e\u3088\u3046\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"%E6%95%B0%E5%AD%A6%E7%9A%84%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>\u6570\u5b66\u7684\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u554f\u984c\u3067\u8ff0\u3079\u305f\u30b0\u30e9\u30d5\u306b\u3064\u3044\u3066\u3001\u30b0\u30e9\u30d5$G=(V,E)$\u3068\u3057\u3066\u9802\u70b9$V$\u3092\u5730\u70b9\u3001\u8fba$E$\u30922\u3064\u306e\u5730\u70b9\u9593\u306e\u9001\u96fb\u7dda\u3068\u3057\u307e\u3059\u3002\u307e\u305f\u3001$P$\u3092\u30af\u30e9\u30b9\u30bf\uff08\u5730\u533a\uff09\u306e\u6570\u3001$N=|V|$\u3092\u30b0\u30e9\u30d5\u306e\u9802\u70b9\uff08\u5730\u70b9\uff09\u306e\u6570\u3068\u3057\u307e\u3059\u3002\u305d\u3057\u30662\u5024\u5909\u6570$v_{np}$\u3092\u9802\u70b9$n$\u304c\u30af\u30e9\u30b9\u30bf$p$\u306b\u3042\u308b\u6642\u306b$1$\u3001\u305d\u3046\u3067\u306a\u3044\u3068\u304d\u306b$0$\u3092\u8868\u3059\u3082\u306e\u3068\u3057\u307e\u3059\u3002$w_n$\u3092\u9802\u70b9$n$\u306b\u304a\u3051\u308b\u96fb\u529b\u4f59\u5270\u3092\u8868\u3059\u5b9a\u6570\u3001$k$\u3092\u30af\u30e9\u30b9\u30bf\u9593\u3067\u306e\u96fb\u529b\u4f59\u5270\u306e\u504f\u308a\u3092\u306a\u304f\u3059\u305f\u3081\u306e\u5024\u3092\u793a\u3059\u5b9a\u6570\u3001$\\alpha$\u3068$\\beta$\u3092\u305d\u308c\u305e\u308c1\u3064\u306e\u30af\u30e9\u30b9\u30bf\u5185\u3068\u30af\u30e9\u30b9\u30bf\u9593\u306e\u9001\u96fb\u30b3\u30b9\u30c8\u3092\u8868\u3059\u5b9a\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3057\u307e\u3059\u3002\u3059\u308b\u3068\u76ee\u7684\u95a2\u6570\u3068\u5236\u7d04\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\tag{1}<br \/>\n\\min_{\\boldsymbol{v} \\in \\{0,1\\}^{PN}} \\sum_{p=1}^{P} \\left\\{ \\alpha \\left( \\sum_{n=1}^{N} v_{np} \\right)^2 + \\beta \\left( |E|\\, &#8211; \\sum_{\\{n,m\\} \\in E} v_{np} v_{np} \\right) \\right\\}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{2}<br \/>\n\\sum_{p=1}^{P} v_{np} = 1, \\quad n = 1, \\ldots, N<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{3}<br \/>\n\\sum_{n=1}^{N} v_{np} w_n &#8211; k \\sum_{n=1}^{N} v_{np} \\leq 0, \\quad p = 1, \\ldots, P<br \/>\n$$<br \/>\n(1)\u5f0f\u3067\u8868\u3055\u308c\u308b\u76ee\u7684\u95a2\u6570\u306f\u4e8c\u3064\u306e\u9805\u3067\u69cb\u6210\u3055\u308c\u307e\u3059\u3002\u7b2c\u4e00\u9805\u306f\u3001\u4e00\u3064\u306e\u30af\u30e9\u30b9\u30bf\u5185\u306b\u304a\u3051\u308b\u9001\u96fb\u7dda\u306e\u7dcf\u69cb\u7bc9\u30b3\u30b9\u30c8\u3092\u8868\u3057\u3001\u7b2c\u4e8c\u9805\u306f\u30af\u30e9\u30b9\u30bf\u9593\u3067\u306e\u9001\u96fb\u7dda\u306e\u7dcf\u69cb\u7bc9\u30b3\u30b9\u30c8\u3092\u8868\u3057\u307e\u3059\u3002(2)\u5f0f\u3068(3)\u5f0f\u306f\u305d\u308c\u305e\u308c\u5236\u7d04\u3092\u8868\u3057\u307e\u3059\u3002(2)\u5f0f\u306e\u5236\u7d04\u306fOne-hot\u5236\u7d04\u3068\u3044\u3044\u3001\u5404\u9802\u70b9\u304c\u4e00\u3064\u306e\u30af\u30e9\u30b9\u30bf\u306b\u306e\u307f\u5c5e\u3059\u308b\u3053\u3068\u3092\u5f37\u5236\u3057\u307e\u3059\u3002(3)\u5f0f\u306e\u5236\u7d04\u306fBalancing\u5236\u7d04\u3068\u3044\u3044\u3001\u30af\u30e9\u30b9\u30bf\u9593\u3067\u306e\u96fb\u529b\u306e\u4f59\u5270\u306e\u504f\u308a\u304c\u5927\u304d\u304f\u306a\u308b\u3053\u3068\u3092\u9632\u3050\u5236\u7d04\u3067\u3059\u3002$k$\u306f\u96fb\u529b\u306e\u4f59\u5270\u306e\u504f\u308a\u5ea6\u5408\u3044\u3092\u8868\u3059\u5909\u6570\u3067\u3001\u3053\u306e\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u3088\u308a\u5927\u304d\u3044\u504f\u308a\u3092\u8a31\u5bb9\u3059\u308b\u3053\u3068\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"QUBO%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>QUBO\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>(1)\u304b\u3089(3)\u3067\u793a\u3057\u305f\u6570\u5f0f\u306fCQM\u3068\u547c\u3070\u308c\u308b\u5236\u7d04\u4ed8\u304d\u4e8c\u6b21\u30e2\u30c7\u30eb\u306e\u5f62\u3067\u3059\u3002\u3053\u306e\u72b6\u614b\u3092\u5165\u529b\u3068\u3057\u3066\u89e3\u3051\u308b\u30bd\u30eb\u30d0\u30fc\u3082\u3042\u308a\u307e\u3059\u304c\u591a\u304f\u306e\u91cf\u5b50\u30bd\u30eb\u30d0\u30fc\u3067\u306f\u3053\u306e\u5f62\u3067\u306f\u89e3\u3051\u307e\u305b\u3093\u3002\u3088\u3063\u3066\u3053\u308c\u3092QUBO\u306e\u5b9a\u5f0f\u5316\u306b\u3088\u308a\u5909\u63db\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u6642\u3001\u76ee\u7684\u95a2\u6570\u3068\u5236\u7d04\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5f62\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\min_{\\boldsymbol{x} \\in \\{0,1\\}} H \\left(\\boldsymbol{x}\\right) + \\sum_{i=1}^{\\#\\text{constraints}} \\lambda_i P_i\\left(\\boldsymbol{x}\\right)<br \/>\n$$<br \/>\n\u3053\u306e\u5f0f\u306b\u3064\u3044\u3066\u3001$H\\left(\\boldsymbol{x}\\right)$\u306f\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u3053\u3068\u3067\u76ee\u7684\u95a2\u6570\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001$\\lambda_i P_i \\left(\\boldsymbol{x}\\right)$\u306f\u30da\u30ca\u30eb\u30c6\u30a3\u9805\u3068\u547c\u3070\u308c\u3001\u5236\u7d04\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u3067\u3001$\\lambda_i $\u306f\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u3068\u8a00\u3044\u305d\u308c\u305e\u308c\u306e\u5236\u7d04\u3092\u5f37\u5236\u3059\u308b\u5f37\u3055\u3092\u8868\u73fe\u3057\u307e\u3059\u3002\u4ee5\u4e0a\u306e\u3053\u3068\u3092\u8e0f\u307e\u3048\u3066(1)\u304b\u3089(3)\u5f0f\u3092\u5909\u63db\u3059\u308b\u3068QUBO\u6700\u9069\u5316\u554f\u984c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\min_{\\left(\\boldsymbol{v},\\boldsymbol{x}\\right) \\in \\{0,1\\}^{PN} \\times \\{0,1\\}^{PN}} H\\left(\\boldsymbol{v}\\right) + \\lambda_{oh} P_{oh} \\left(\\boldsymbol{v}\\right) + \\lambda_{bc} P_{bc} \\left(\\boldsymbol{v}, \\boldsymbol{x}, K \\right)<br \/>\n$$<br \/>\n\u305f\u3060\u3057\u3001<br \/>\n$$<br \/>\n\\tag{4}<br \/>\nH\\left(\\boldsymbol{v}\\right) = \\sum_{p=1}^P \\left\\{\\alpha\\left(\\sum_{n=1}^N v_{np} \\right)^2 + \\beta\\left(|E| \\, &#8211; \\sum_{\\{n,m\\} \\in E} v_{np} v_{mp} \\right)\\right\\}<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{5}<br \/>\nP_{oh}\\left(\\boldsymbol{v}\\right) = \\sum_{n=1}^{N} \\left(\\sum_{p=1}^{P}\\boldsymbol{v}_{np} \\, &#8211; \\, 1\\right)^2<br \/>\n$$<br \/>\n$$<br \/>\n\\tag{6}<br \/>\nP_{bc}\\left(\\boldsymbol{v},\\boldsymbol{x},K\\right) = \\sum_{p=1}^P \\left(\\frac{2^K &#8211; \\frac{1}{2}\\,}{c} \\left(c + \\sum_{n=1}^N \\boldsymbol{v}_{np}\\left(\\boldsymbol{w}_n \\, &#8211; \\, k \\right)\\right) &#8211; \\sum_{a=0}^{K-1}2^a\\boldsymbol{x}_{ap}\\right)^2, \\quad c = \\frac{1}{2}\\sum_{n=1}^N \\left(\\boldsymbol{w}_n \\, &#8211; \\, k \\, &#8211; \\, |\\boldsymbol{w}_n \\, &#8211; \\, k|\\right)<br \/>\n$$<br \/>\n\u4ee5\u4e0b\u3067\u306f\u6700\u9069\u5316\u554f\u984c\u306e\u5404\u9805\u306b\u3064\u3044\u3066\u305d\u306e\u5c0e\u51fa\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305a\u3001(4)\u5f0f\u3067\u8868\u3055\u308c\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3067\u3059\u304c\u3001\u3053\u308c\u306f(1)\u5f0f\u3067\u8868\u3055\u308c\u308b\u5143\u306e\u76ee\u7684\u95a2\u6570\u304cQUBO\u306e\u5f62\u5f0f\u306b\u6e96\u62e0\u3057\u3066\u3044\u305f\u305f\u3081\u305d\u306e\u307e\u307e\u5c0e\u51fa\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u6b21\u306b\u3001(5)\u5f0f\u306b\u3064\u3044\u3066\u3001\u3053\u308c\u306f(2)\u5f0f\u3067\u8868\u3055\u308c\u308bOne-hot\u5236\u7d04\u3068\u540c\u3058\u610f\u5473\u3092\u793a\u3059\u3088\u3046\u306b\u5f0f\u5909\u5f62\u304c\u70ba\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001(2)\u5f0f\u3067\u8868\u3055\u308c\u308b\u7b49\u5f0f\u3092\u6e80\u305f\u3059\u3068\u304d\u306e\u307f(5)\u5f0f\u306e\u5024\u306f$0$\u3068\u306a\u308a\u3001\u305d\u308c\u4ee5\u5916\u3067\u306f\u5fc5\u305a\u6b63\u306e\u5024\u3092\u53d6\u308a\u307e\u3059\u3002(6)\u5f0f\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u3067\u3001Balancing\u5236\u7d04\u306e(3)\u5f0f\u306e\u4e0d\u7b49\u5f0f\u3092\u6e80\u305f\u3059\u3068\u304d\u306b(6)\u5f0f\u306e\u5024\u306f\u3088\u308a\u5c0f\u3055\u304f\u306a\u308b\u3088\u3046\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002(6)\u5f0f\u304c\u8907\u96d1\u3068\u306a\u3063\u3066\u3044\u308b\u306e\u306f\u5143\u306e\u5236\u7d04\u304c\u4e0d\u7b49\u5f0f\u3060\u304b\u3089\u3067\u3059\u3002\u3055\u3089\u306b\u5909\u6570\u304c\u6574\u6570\u3060\u3051\u3067\u306a\u304f\u5c0f\u6570\u304c\u4f7f\u308f\u308c\u308b\u305f\u3081\u3001\u3053\u306e\u3088\u3046\u306a\u5f62\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u5236\u7d04\u304c\u7b49\u5f0f\u3067\u3042\u308c\u3070\u3001\u79fb\u9805\u3057\u30662\u4e57\u3059\u308b\u3053\u3068\u3067(5)\u5f0f\u306e\u3088\u3046\u306b\u7c21\u5358\u306b\u5c0e\u51fa\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u304c\u3001\u4e0d\u7b49\u5f0f\u5236\u7d04\u3067\u306f\u305d\u306e\u3088\u3046\u306b\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u4e00\u822c\u306b\u3001\u5909\u6570\u304c\u6574\u6570\u306e\u6642\u306f\u3001\u30b9\u30e9\u30c3\u30af\u5909\u6570\u3068\u8a00\u308f\u308c\u308b\u5909\u6570\u3092\u7528\u3044\u308b\u30681\u3064\u306e\u4e0d\u7b49\u5f0f\u5236\u7d04\u30922\u3064\u306e\u7b49\u5f0f\u5236\u7d04\u306b\u5909\u5f62\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3053\u308c\u306b\u5c11\u3057\u306e\u5de5\u592b\u3092\u52a0\u3048\u3066\u5c0f\u6570\u3082\u6271\u3048\u308b\u3088\u3046\u306b\u3057\u305f\u306e\u304c(6)\u5f0f\u3067\u3059\u3002(6)\u5f0f\u306e$K$\u306f\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3053\u306e\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u7cbe\u5ea6\u306f\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93\"><\/span>\u5b9f\u9a13<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u8ad6\u6587\u3067\u306f3\u3064\u306e\u5b9f\u9a13\u3092\u884c\u3044\u307e\u3057\u305f\u304c\u3001\u672c\u8a18\u4e8b\u3067\u306f\u305d\u306e\u3046\u3061\u306e1\u3064\u3092\u53d6\u308a\u4e0a\u3052\u307e\u3059\u3002\u5b9f\u9a13\u3067\u306fSciGrid\u3068\u547c\u3070\u308c\u308b\u6b27\u5dde\u9001\u96fb\u7db2\u306e\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u3092\u7528\u3044\u307e\u3057\u305f\u3002\u3053\u306e\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u3092\u57fa\u306b\u30c9\u30a4\u30c4\u306e\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u8868\u3059\u30b0\u30e9\u30d5\u3092\u69cb\u7bc9\u3057\u3001\u305d\u306e\u30b0\u30e9\u30d5\u306b\u5bfe\u3057\u30662\uff5e9\u5206\u5272\u306e\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u3092\u89e3\u304d\u3001\u305d\u306e\u3068\u304d\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5024\u3092\u6bd4\u8f03\u3057\u307e\u3057\u305f\u3002SciGrid\u3092\u57fa\u306b\u4f5c\u6210\u3057\u305f\u30c9\u30a4\u30c4\u306e\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3092\u8868\u3059\u30b0\u30e9\u30d5\u304c\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<div id=\"attachment_7645\" style=\"width: 510px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7645\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/d825230fe6799997d355a6c93a577b43-300x297.png\" alt=\"\" width=\"500\" height=\"493\" class=\"wp-image-7645 size-medium\" \/><p id=\"caption-attachment-7645\" class=\"wp-caption-text\">\u56f33: SciGRID\u3092\u57fa\u306b\u3057\u305f\u30c9\u30a4\u30c4\u306e\u96fb\u529b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u30b0\u30e9\u30d5 <a href=\"https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997\">https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997<\/a><\/p><\/div>\n<p>\u672c\u5b9f\u9a13\u306b\u304a\u3051\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5024\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3068\u3057\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li>$\\alpha = 1$<\/li>\n<li>$\\beta = 10$<\/li>\n<li>$k = 0.5$<\/li>\n<\/ul>\n<p>\u307e\u305f\u3001\u5404\u9802\u70b9\u306b\u304a\u3051\u308b\u96fb\u529b\u4f59\u5270\u306f\u4e00\u69d8\u5206\u5e03$[0,1)$\u304b\u3089\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u3068\u3057\u3001\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u306e$\\lambda_{oh}$\u3068$\\lambda_{bc}$\u306f\u88681\u306e\u3088\u3046\u306b\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002\u305d\u3057\u3066\u3001\u3082\u30461\u3064\u306e\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3042\u308b$K$\u306b\u3064\u3044\u3066\u3001$K=10$\u3068\u3059\u308b\u3068\u30d0\u30e9\u30f3\u30b7\u30f3\u30b0\u5236\u7d04\u306e\u30a8\u30e9\u30fc\u3092\u691c\u77e5\u3059\u308b\u306e\u306b\u5341\u5206\u3067\u3001\u30aa\u30fc\u30d0\u30fc\u30d5\u30ed\u30fc\u306e\u70b9\u3067\u3082\u554f\u984c\u304c\u306a\u3044\u3053\u3068\u3092\u78ba\u8a8d\u3067\u304d\u305f\u305f\u3081\u3001$K=10$\u3068\u3057\u3066\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002<\/p>\n<p style=\"text-align: center;\">\u88681: \u5404\u30af\u30e9\u30b9\u30bf\u6570\u306b\u304a\u3051\u308b\u30cf\u30a4\u30d1\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u5024<\/p>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<table>\n<thead>\n<tr>\n<th style=\"text-align: center;\">$P$<\/th>\n<th style=\"text-align: center;\">$\\lambda_{oh}$<\/th>\n<th style=\"text-align: center;\">$\\lambda_{bc}$<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\">2<\/td>\n<td style=\"text-align: center;\">500<\/td>\n<td style=\"text-align: center;\">0.01<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">3<\/td>\n<td style=\"text-align: center;\">300<\/td>\n<td style=\"text-align: center;\">0.08<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">4<\/td>\n<td style=\"text-align: center;\">270<\/td>\n<td style=\"text-align: center;\">0.2<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">5<\/td>\n<td style=\"text-align: center;\">250<\/td>\n<td style=\"text-align: center;\">0.2<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">6<\/td>\n<td style=\"text-align: center;\">240<\/td>\n<td style=\"text-align: center;\">0.4<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">7<\/td>\n<td style=\"text-align: center;\">230<\/td>\n<td style=\"text-align: center;\">0.9<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">8<\/td>\n<td style=\"text-align: center;\">230<\/td>\n<td style=\"text-align: center;\">0.9<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">9<\/td>\n<td style=\"text-align: center;\">290<\/td>\n<td style=\"text-align: center;\">1.0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C\"><\/span>\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30bd\u30eb\u30d0\u30fc\uff08CQM, BQM\uff09\u3068\u53e4\u5178\u30bd\u30eb\u30d0\u30fc\uff08PT, SA, MC, TS\uff09\u306e\u305d\u308c\u305e\u308c\u3067\u51fa\u3057\u305f\u7d50\u679c\u304c\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<div id=\"attachment_7648\" style=\"width: 710px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7648\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/f74ec1d5495c0c58e8bb05e496a15133-300x186.png\" alt=\"\" width=\"700\" height=\"434\" class=\"wp-image-7648 size-medium\" \/><p id=\"caption-attachment-7648\" class=\"wp-caption-text\">\u56f34: \u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30bd\u30eb\u30d0\u30fc\u3068\u53e4\u5178\u30bd\u30eb\u30d0\u30fc\u306e\u305d\u308c\u305e\u308c\u3092\u7528\u3044\u3066\u51fa\u3057\u305f\u7d50\u679c\u3092\u8868\u3059\u30b0\u30e9\u30d5 <a href=\"https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997\">https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997<\/a><\/p><\/div>\n<p>\u30b0\u30e9\u30d5\u306b\u3064\u3044\u3066\u3001\u7e26\u8ef8\u306f\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5024\u3001\u6a2a\u8ef8\u306f\u30af\u30e9\u30b9\u30bf\u306e\u6570\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u306e\u30b0\u30e9\u30d5\u304b\u3089\u308f\u304b\u308b\u3053\u3068\u3068\u3057\u3066\u3001\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30bd\u30eb\u30d0\u30fc\u306eBQM\u304a\u3088\u3073CQM\u3067\u306f\u307b\u304b\u306e\u53e4\u5178\u30bd\u30eb\u30d0\u30fc\u306b\u6bd4\u3079\u3066\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5024\u304c\u5c0f\u3055\u304f\u3001\u307e\u305f\u3001\u305d\u306e\u5dee\u306f\u30af\u30e9\u30b9\u30bf\u306e\u6570\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u5f93\u3044\u9855\u8457\u3068\u306a\u308a\u307e\u3059\u3002<br \/>\n\u4ee5\u4e0b\u306f\u30af\u30e9\u30b9\u30bf\u306e\u6570\u30926\u3068\u3057\u305f\u3068\u304d\u306bCQM\u306b\u3088\u3063\u3066\u5f97\u3089\u308c\u305f\u89e3\u306e\u4f8b\u3067\u3059\u3002\u3053\u308c\u3092\u898b\u308b\u3068\u3001\u30af\u30e9\u30b9\u30bf\u306b\u3088\u3063\u3066\u306f\u4e92\u3044\u306b\u96e2\u308c\u305f\u70b9\u304c\u751f\u6210\u3055\u308c\u3066\u3057\u307e\u3063\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u76ee\u7684\u95a2\u6570\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3067\u3042\u308b\u30af\u30e9\u30b9\u30bf\u9593\u306e\u9001\u96fb\u30b3\u30b9\u30c8\u3092\u8868\u3059$\\beta$\u304c\u5b9a\u6570\u3067\u3042\u308b\u3053\u3068\u306b\u8d77\u56e0\u3059\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u6539\u5584\u3059\u308b\u65b9\u6cd5\u3068\u3057\u3066\u306f\u3001\u3053\u308c\u3092\u30af\u30e9\u30b9\u30bf\u9593\u306e\u5730\u7406\u7684\u8ddd\u96e2\u3092\u8868\u3059\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u304c\u6319\u3052\u3089\u308c\u307e\u3059\u3002<\/p>\n<div id=\"attachment_7651\" style=\"width: 450px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-7651\" src=\"\/T-Wave\/wp-content\/uploads\/2025\/02\/8049c805dc19fc7a7181070d8566c3ad-264x300.png\" alt=\"\" width=\"440\" height=\"500\" class=\"wp-image-7651 size-medium\" \/><p id=\"caption-attachment-7651\" class=\"wp-caption-text\">\u56f35: \u5f97\u3089\u308c\u305f\u7d50\u679c\u306e\u4e00\u4f8b<br \/><a href=\"https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997\">https:\/\/doi.org\/10.1109\/ACCESS.2023.3312997<\/a><\/p><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span>\u7d50\u8ad6<span 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