{"id":3093,"date":"2022-03-31T21:15:05","date_gmt":"2022-03-31T12:15:05","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=3093"},"modified":"2022-03-31T21:15:05","modified_gmt":"2022-03-31T12:15:05","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%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/","title":{"rendered":"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3067\u4f5c\u66f2\u3092\u3057\u3088\u3046\uff01"},"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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\" >\u6587\u732e\u60c5\u5831<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E8%AA%B2%E9%A1%8C\" >\u8ab2\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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%A4%89%E6%95%B0%E3%81%AE%E5%AE%9A%E7%BE%A9\" >\u5909\u6570\u306e\u5b9a\u7fa9<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#1_P_%E3%82%92%E5%85%B7%E4%BD%93%E7%9A%84%E3%81%AA%E9%9F%B3%E5%90%8D%E3%81%AE%E9%9B%86%E5%90%88%E3%81%A8%E3%81%99%E3%82%8B\" >(1) $P$ \u3092\u5177\u4f53\u7684\u306a\u97f3\u540d\u306e\u96c6\u5408\u3068\u3059\u308b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#2_P_%E3%82%92%E5%8D%8A%E9%9F%B3%E3%81%AB%E3%82%88%E3%82%8B%E9%9F%B3%E9%9A%8E%E3%81%A8%E3%81%99%E3%82%8B\" >(2) $P$ \u3092\u534a\u97f3\u306b\u3088\u308b\u97f3\u968e\u3068\u3059\u308b<\/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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#3_P_%E3%81%AE%E8%A6%81%E7%B4%A0%E3%82%92%E5%85%A8%E9%9F%B3%E9%9A%8E%E3%81%AE_8_%E3%81%A4%E3%81%AE%E5%BA%A6%E6%95%B0%E3%81%A8%E3%81%99%E3%82%8B\" >(3) $P$ \u306e\u8981\u7d20\u3092\u5168\u97f3\u968e\u306e 8 \u3064\u306e\u5ea6\u6570\u3068\u3059\u308b<\/a><\/li><\/ul><\/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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%88%B6%E7%B4%84%E3%81%AE%E5%B0%8E%E5%85%A5\" >\u5236\u7d04\u306e\u5c0e\u5165<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%88%B6%E7%B4%84%E2%91%A0_i_%E7%95%AA%E7%9B%AE%E3%81%AE%E9%9F%B3%E7%AC%A6%E3%81%AE%E3%83%94%E3%83%83%E3%83%81%E3%81%AF_1_%E3%81%A4%E3%81%A0%E3%81%91\" >\u5236\u7d04\u2460 : $i$ \u756a\u76ee\u306e\u97f3\u7b26\u306e\u30d4\u30c3\u30c1\u306f 1 \u3064\u3060\u3051<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%88%B6%E7%B4%84%E2%91%A1_%E5%90%8C%E3%81%98%E9%9F%B3%E3%82%92_3_%E5%9B%9E%E4%BB%A5%E4%B8%8A%E9%80%A3%E7%B6%9A%E3%81%97%E3%81%A6%E5%87%BA%E3%81%95%E3%81%AA%E3%81%84\" >\u5236\u7d04\u2461 : \u540c\u3058\u97f3\u3092 3 \u56de\u4ee5\u4e0a\u9023\u7d9a\u3057\u3066\u51fa\u3055\u306a\u3044<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%88%B6%E7%B4%84%E2%91%A2_%E6%9C%80%E5%88%9D%E3%81%A8%E6%9C%80%E5%BE%8C%E3%81%AE%E9%9F%B3%E3%82%92%E6%8C%87%E5%AE%9A\" >\u5236\u7d04\u2462 : \u6700\u521d\u3068\u6700\u5f8c\u306e\u97f3\u3092\u6307\u5b9a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%88%B6%E7%B4%84%E2%91%A3_%E5%82%BE%E6%80%A7%E9%9F%B3%E3%81%AE%E5%8F%96%E3%82%8A%E6%89%B1%E3%81%84\" >\u5236\u7d04\u2463 : \u50be\u6027\u97f3\u306e\u53d6\u308a\u6271\u3044<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%A0%B1%E9%85%AC%E3%81%AE%E5%B0%8E%E5%85%A5\" >\u5831\u916c\u306e\u5c0e\u5165<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%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-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%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-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E8%A3%9C%E8%B6%B3_%E9%9F%B3%E6%A5%BD%E7%9A%84%E3%81%AA%E7%9F%A5%E8%AD%98\" >\u88dc\u8db3 : \u97f3\u697d\u7684\u306a\u77e5\u8b58<\/a><\/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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%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-19\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E5%8F%82%E8%80%83\" >\u53c2\u8003<\/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\/03\/31\/%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%ab%e3%82%88%e3%82%8b%e4%bd%9c%e6%9b%b2-%e3%83%a1%e3%83%ad%e3%83%87%e3%82%a3%e3%81%ae%e7%94%9f%e6%88%90\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E6%8B%85%E5%BD%93%E8%80%85\" >\u672c\u8a18\u4e8b\u306e\u62c5\u5f53\u8005<\/a><\/li><\/ul><\/nav><\/div>\n<h2 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>\u30bf\u30a4\u30c8\u30eb : Music Composition Using Quantum Annealing<\/p>\n\n\n\n<p>\u8457\u8005 : Ashish Arya, Ludmila BotelhoFabiola Canete, Dhruvi Kapadia, Ozlem Salehi<\/p>\n\n\n\n<p>\u66f8\u8a8c\u60c5\u5831 : <a href=\"https:\/\/arxiv.org\/pdf\/2201.10557.pdf\">2201.10557.pdf (arxiv.org)<\/a><\/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>\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u79d1\u5b66\u306e\u767a\u5c55\u306b\u4f34\u3044\u3001\uff62 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u4f5c\u66f2 \uff63 \u3068\u3044\u3046\u65b0\u3057\u3044\u5206\u91ce\u304c\u8d77\u3053\u308a\u3001\u76db\u3093\u306b\u7814\u7a76\u304c\u884c\u308f\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002\u305d\u3057\u3066\u3001\u8fd1\u5e74\u6ce8\u76ee\u3092\u96c6\u3081\u308b\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306f\u3001\uff62 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u4f5c\u66f2 \uff63 \u306b\u304a\u3051\u308b\u65b0\u305f\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u307e\u3067\u306f\u91cf\u5b50\u30b2\u30fc\u30c8\u65b9\u5f0f\u3092\u7528\u3044\u305f\u7814\u7a76\u304c\u5927\u534a\u3067\u3042\u308a\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u65b9\u5f0f\u3092\u7528\u3044\u305f\u7814\u7a76\u306f\u672a\u3060\u307b\u3068\u3093\u3069\u884c\u308f\u308c\u3066\u3044\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u3053\u306e\u5206\u91ce\u306e\u767a\u5c55\u306b\u5927\u304d\u304f\u5bc4\u4e0e\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3053\u3067\u3001\u672c\u8ad6\u6587\u3067\u306f\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u305f\u65b0\u305f\u306a\u4f5c\u66f2\u624b\u6cd5\u3092\u63d0\u6848\u3057\u307e\u3059\u3002\u97f3\u697d\u3092\u69cb\u6210\u3059\u308b\u8981\u7d20\u3092\u30e1\u30ed\u30c7\u30a3\u30fb\u30ea\u30ba\u30e0\u30fb\u30cf\u30fc\u30e2\u30cb\u30fc\u306e\uff13\u3064\u306b\u5206\u3051\u3001\u305d\u308c\u305e\u308c\u306b\u5bfe\u3057\u3066 D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u305f\u751f\u6210\u65b9\u6cd5\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f \uff62 \u30e1\u30ed\u30c7\u30a3 \uff63 \u306e\u751f\u6210\u306b\u95a2\u3059\u308b\u8aac\u660e\u3092\u884c\u3044\u307e\u3059\u3002\u306a\u304a\u3001\u672c\u8ad6\u6587\u3067\u7d39\u4ecb\u3057\u305f\u4f5c\u66f2\u624b\u6cd5\u306e\u30d7\u30ed\u30b0\u30e9\u30e0 ( Jupyter\u30ce\u30fc\u30c8\u30d6\u30c3\u30af\u5f62\u5f0f ) \u304c <a href=\"https:\/\/doi.org\/10.5281\/zenodo.585693\">https:\/\/doi.org\/10.5281\/zenodo.585693 <\/a>\u304b\u3089\u53c2\u7167\u53ef\u80fd\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%AA%B2%E9%A1%8C\"><\/span>\u8ab2\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u305f\u4f5c\u66f2\u3092\u884c\u3044\u307e\u3059\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u7d44\u307f\u5408\u308f\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u306b\u7279\u5316\u3057\u305f\u30de\u30b7\u30f3\u3067\u3042\u308b\u305f\u3081\u3001\u4f5c\u66f2\u3068\u3044\u3046\u30d7\u30ed\u30bb\u30b9\u3092 <a href=\"\/T-Wave\/?p=2325\">QUBO<\/a> \u3068\u547c\u3070\u308c\u308b\u5f62\u5f0f\u306e\u6700\u9069\u5316\u554f\u984c\u306b\u843d\u3068\u3057\u8fbc\u3080\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f5c\u66f2\u3068\u306f\u8a00\u3063\u3066\u3082\u3001\u97f3\u3092\u30c7\u30bf\u30e9\u30e1\u306b\u4e26\u3079\u308b\u3060\u3051\u3067\u306f\u826f\u3044\u97f3\u697d\u306f\u3067\u304d\u307e\u305b\u3093\u3002\u97f3\u697d\u306b\u95a2\u3059\u308b\u69d8\u3005\u306a\u7406\u8ad6\u3084\u898f\u5247\u306b\u5f93\u3063\u3066\u4f5c\u66f2\u3092\u884c\u3046\u3053\u3068\u306b\u3088\u308a\u3001\u8074\u304d\u306a\u3058\u307f\u306e\u3042\u308b\u97f3\u697d\u304c\u751f\u6210\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u65e2\u5b58\u306e\u97f3\u697d\u306b\u5171\u901a\u3057\u3066\u898b\u3089\u308c\u308b\u30d1\u30bf\u30fc\u30f3\u3092\u767a\u898b\u3059\u308b\u3053\u3068\u3082\u91cd\u8981\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u898f\u5247\u3084\u30d1\u30bf\u30fc\u30f3\u3092\u3001\u6700\u9069\u5316\u554f\u984c\u306b\u304a\u3051\u308b\u5236\u7d04\u3068\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3059\u308b\u304b\u304c\u8ab2\u984c\u3068\u306a\u308a\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>\u3053\u3053\u3067\u306f\u3001\u4f5c\u66f2\u3068\u3044\u3046\u30d7\u30ed\u30bb\u30b9\u3092\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3059\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002\u306a\u304a\u3001\u672c\u8a18\u4e8b\u3067\u5fc5\u8981\u3068\u306a\u308b\u97f3\u697d\u7684\u306a\u77e5\u8b58\u306b\u95a2\u3057\u3066\u306f \uff62 5. \u7d50\u8ad6 \uff63 \u306e\u5f8c\u306b \uff62 6. \u88dc\u8db3 : \u97f3\u697d\u7684\u306a\u77e5\u8b58 \uff63 \u3068\u3057\u3066\u8a18\u8f09\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%A4%89%E6%95%B0%E3%81%AE%E5%AE%9A%E7%BE%A9\"><\/span>\u5909\u6570\u306e\u5b9a\u7fa9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u307e\u305a\u306f\u3001\u4e8c\u5024\u5909\u6570 $x_{i,j}\\in\\{0,1\\}$ \u3092\u5b9a\u7fa9\u3057\u307e\u3059\u3002D-Wave \u30de\u30b7\u30f3\u3067\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u3044\u305f\u7d50\u679c\u3068\u3057\u3066\u3001\u3053\u306e $x_{i,j}\\in\\{0,1\\}$ \u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001$n$ \u500b\u306e\u97f3\u7b26\u3092\u540c\u6642\u306b\u751f\u6210\u3057\u3001\u305d\u308c\u3089\u3092\u4e26\u3079\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u30e1\u30ed\u30c7\u30a3\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u3092\u76ee\u6a19\u3068\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001$i$ \u3092\u4f55\u756a\u76ee\u306e\u97f3\u7b26\u304b\u3092\u793a\u3059\u6587\u5b57\u3068\u3057\u3001$i\\in[n]$ \u3068\u8868\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u3001$[n]$ \u306f\u81ea\u7136\u6570\u306e\u96c6\u5408 $\\{1,2, &#8230; , n\\}$ \u3067\u3059\u3002\u307e\u305f\u3001$j$ \u3092\u305d\u306e\u97f3\u7b26\u306e\u97f3\u306e\u9ad8\u3055 ( \u30d4\u30c3\u30c1 ) \u3092\u793a\u3059\u6587\u5b57\u3068\u3057\u3001\u30d4\u30c3\u30c1\u306e\u96c6\u5408\u3092 $P$ \u3068\u3057\u3066 $j\\in P$ \u3068\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e0a\u8ff0\u306e\u3088\u3046\u306b\u3001\u3053\u306e\u96c6\u5408\u306e\u8981\u7d20\u306f \uff62 \u30d4\u30c3\u30c1 \uff63 \u3067\u3059\u304c\u3001\u4e00\u53e3\u306b\u30d4\u30c3\u30c1\u3068\u8a00\u3063\u3066\u3082\u3001\u69d8\u3005\u306a\u9078\u3073\u65b9\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u307e\u305f\u3001\u305d\u308c\u306b\u4f34\u3063\u3066\u5909\u6570 $x_{i,j}$ \u306b\u304a\u3051\u308b\u6dfb\u3048\u5b57 $j\\in P$ \u306e\u5b9a\u7fa9\u304c\u5909\u308f\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001\u5909\u6570 $x_{i,j}$ \u306e\u5b9a\u7fa9\u3068\u3057\u3066\u4ee5\u4e0b\u306b\u793a\u3059 3 \u3064\u306e\u3082\u306e\u304c\u7d39\u4ecb\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_P_%E3%82%92%E5%85%B7%E4%BD%93%E7%9A%84%E3%81%AA%E9%9F%B3%E5%90%8D%E3%81%AE%E9%9B%86%E5%90%88%E3%81%A8%E3%81%99%E3%82%8B\"><\/span>(1) $P$ \u3092\u5177\u4f53\u7684\u306a\u97f3\u540d\u306e\u96c6\u5408\u3068\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>$P$ \u306e\u8981\u7d20\u3068\u3057\u3066 $ C4,D4,E4,F4$ \u3068\u3044\u3063\u305f\u5177\u4f53\u7684\u306a\u97f3\u540d\u3092\u6307\u5b9a\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u5909\u6570 $x_{i,j}$ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ \\begin{equation}x_{i,j} = \\left \\{\\begin{array}{l}1\u3000{\\rm if}\u3000(\\ i\\ \u756a\u76ee\u306e\u97f3\u7b26\u306f\\ j\\ ) \\\\0\u3000{\\rm otherwize} \\end{array}\\right.\\end{equation} \\tag{1} $$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$i\\in[n]$ , $j\\in P$ \u3067\u3059\u3002\u4f8b\u3048\u3070\u3001\u96c6\u5408 $ P=\\{C4,D4,E4,F4\\}$ \u3068\u3059\u308b\u3068\u3001\u30e1\u30ed\u30c7\u30a3\u3068\u3057\u3066\u751f\u6210\u3055\u308c\u308b 4 \u500b\u306e\u97f3\u7b26\u306f $ C4,D4,E4,F4$ \u306e\u3046\u3061\u306e\u3069\u308c\u304b\u304b\u3089\u9078\u629e\u3055\u308c\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001 $x_{2,C4}=1$ \u306e\u3068\u304d\u3001$n$ \u500b\u306e\u97f3\u7b26\u306e\u3046\u3061\uff12\u756a\u76ee\u306e\u97f3\u7b26\u304c $C4$ \u3067\u3042\u308b\u3001\u3068\u3044\u3046\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_P_%E3%82%92%E5%8D%8A%E9%9F%B3%E3%81%AB%E3%82%88%E3%82%8B%E9%9F%B3%E9%9A%8E%E3%81%A8%E3%81%99%E3%82%8B\"><\/span>(2) $P$ \u3092\u534a\u97f3\u306b\u3088\u308b\u97f3\u968e\u3068\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u534a\u97f3\u306b\u3088\u3063\u3066\u97f3\u3092\u8b58\u5225\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3053\u306e\u65b9\u6cd5\u3067\u306f\u3001\u57fa\u6e96\u3068\u306a\u308b\u6700\u4f4e\u30d4\u30c3\u30c1\u3068\u3001\u73fe\u5728\u8003\u616e\u3057\u3066\u3044\u308b\u97f3\u7b26\u306e\u9593\u306b\u3044\u304f\u3064\u534a\u97f3\u304c\u3042\u308b\u304b\u3001\u306b\u3088\u3063\u3066\u97f3\u3092\u533a\u5225\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u5909\u6570 $x_{i,j}$ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ \\begin{equation}x_{i,j} = \\left \\{\\begin{array}{l}1\u3000{\\rm if}\u3000(\\ i\\ \u756a\u76ee\u306e\u97f3\u7b26\u306f\u6700\u4f4e\u30d4\u30c3\u30c1\u304b\u3089\\ j\\ \u534a\u97f3\u3060\u3051\u96e2\u308c\u3066\u3044\u308b\\ ) \\\\0\u3000{\\rm otherwize} \\end{array}\\right.\\end{equation} \\tag{2} $$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$i\\in[n]$ , $j\\in P$ \u3067\u3059\u3002$P=\\{0,1,\\ &#8230;\\ ,12\\}$\u3068\u3059\u308b\u3068\u3001\u96c6\u5408 $P$ \u306f\u534a\u97f3\u3092\u9806\u756a\u306b 13 \u500b\u4e26\u3079\u305f\u97f3\u968e\u3068\u306a\u308b\u306e\u3067\u3001Chromatic Scale \u3092\u8868\u3059\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u57fa\u6e96\u3068\u306a\u308b\u6700\u4f4e\u30d4\u30c3\u30c1\u306f\u81ea\u7531\u306b\u6307\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001$j=0$ \u3092 $C4$ \u3068\u5bfe\u5fdc\u3065\u3051\u308b\u3068 $P=\\{0,1,\\ &#8230;\\ ,12\\}$ \u306f $C4$ \u304b\u3089\u59cb\u307e\u308b C Chromatic Scale \u306e\u97f3\u7b26\u306e\u96c6\u5408\u3068\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$x_{2,2}=1$ \u306e\u3068\u304d\u3001$n$ \u500b\u306e\u97f3\u7b26\u306e\u3046\u3061 2 \u756a\u76ee\u306e\u97f3\u7b26\u306f $C4$ \u304b\u3089 2 \u534a\u97f3\u3060\u3051\u96e2\u308c\u3066\u3044\u308b ( \u3064\u307e\u308a $D4$ ) \u3068\u3044\u3046\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_P_%E3%81%AE%E8%A6%81%E7%B4%A0%E3%82%92%E5%85%A8%E9%9F%B3%E9%9A%8E%E3%81%AE_8_%E3%81%A4%E3%81%AE%E5%BA%A6%E6%95%B0%E3%81%A8%E3%81%99%E3%82%8B\"><\/span>(3) $P$ \u306e\u8981\u7d20\u3092\u5168\u97f3\u968e\u306e 8 \u3064\u306e\u5ea6\u6570\u3068\u3059\u308b<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>$P=\\{d_1,d_2,\\ &#8230;\\ ,d_8\\}$ \u3068\u304a\u304d\u3001$d_j$ \u3092\u305d\u306e\u97f3\u968e\u306e $j$ \u756a\u76ee\u306e\u5ea6\u6570\u3068\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u5909\u6570 $x_{i,j}$ \u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$ \\begin{equation}x_{i,j} = \\left \\{\\begin{array}{l}1\u3000{\\rm if}\u3000(\\ i\\ \u756a\u76ee\u306e\u97f3\u7b26\u306e\u5ea6\u6570\u306f\\ d_j\\ \u3067\u3042\u308b\\ ) \\\\0\u3000{\\rm otherwize} \\end{array}\\right.\\end{equation} \\tag{3} $$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$i\\in[n]$ , $d_{j}\\in P$ \u3067\u3059\u3002\u3059\u306a\u308f\u3061\u3001$j$ \u306f $P$ \u304c\u8868\u3059\u97f3\u968e\u306e\u5ea6\u6570\u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$d_1,d_2,\\ &#8230;\\ ,d_8$ \u306b\u8a2d\u5b9a\u3059\u308b\u97f3\u968e\u3092\u5909\u3048\u308c\u3070\u3001D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u305f\u89e3\u3092\u4efb\u610f\u306e\u97f3\u968e\u306b\u5f53\u3066\u306f\u3081\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001$P$ \u3068\u3057\u3066 C Major Scale \u3092\u6307\u5b9a\u3059\u308b\u3068\u3001$d_1=C,\\ d_2=D,\\ d_3=E,\\ d_4=F,\\ d_5=G,\\ d_6=A,\\ d_7=B,\\ d_8=C$\u3068\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$x_{2,1}=1$ \u306e\u3068\u304d\u3001$n$ \u500b\u306e\u97f3\u7b26\u306e\u3046\u3061 2 \u756a\u76ee\u306e\u97f3\u7b26\u306f C Major Scale \u306e 1 \u5ea6 ( \u3064\u307e\u308a $C$ ) \u3068\u3044\u3046\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001$P$\u3068\u3057\u3066 A Minor Scale \u3092\u6307\u5b9a\u3059\u308b\u3068\u3001$d_1=A,\\ d_2=B,\\ d_3=C,\\ d_4=D,\\ d_5=E,\\ d_6=F,\\ d_7=G,\\ d_8=A$\u3068\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$x_{2,1}=1$ \u306e\u3068\u304d\u3001$n$ \u500b\u306e\u97f3\u7b26\u306e\u3046\u3061 2 \u756a\u76ee\u306e\u97f3\u7b26\u306f A Minor Scale \u306e 1 \u5ea6 ( \u3064\u307e\u308a $A$ ) \u3068\u3044\u3046\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0a\u304c\u5909\u6570 $x_{i,j}$ \u306e 3 \u3064\u306e\u5b9a\u7fa9\u3067\u3057\u305f\u3002\u4ee5\u964d\u3067\u306f (3) \u306e\u5b9a\u7fa9\u3092\u4f7f\u7528\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u30d4\u30c3\u30c1\u306e\u96c6\u5408 $P$ \u306e\u5b9a\u7fa9\u3092\u5909\u3048\u3066\u3044\u308b\u306b\u904e\u304e\u306a\u3044\u305f\u3081\u3001\u4ee5\u964d\u3067\u8aac\u660e\u3059\u308b\u5236\u7d04\u306f\u3001(1) \u3084 (2) \u306e\u5b9a\u7fa9\u3092\u4f7f\u7528\u3057\u305f\u5834\u5408\u306b\u3082\u5171\u901a\u3059\u308b\u3082\u306e\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u52a0\u3048\u3066\u3001(1) \u306e\u5b9a\u7fa9\u3092\u7528\u3044\u308c\u3070\u3001(2) \u3084 (3) \u3067\u5b9a\u7fa9\u3055\u308c\u308b\u96c6\u5408 $P$ \u3092\u8868\u73fe\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001(1) \u306e\u5b9a\u7fa9\u306e\u3082\u3068\u3067\u3001 $P=\\{C,C\\#,D,D\\#,E,F,F\\#,G,G\\#,A,A\\#,B,C\\}$ \u3068\u3059\u308c\u3070\u3001C Chromatic Scale \u3068\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001(2) \u306e\u5b9a\u7fa9\u306e\u3082\u3068\u3067 $P=\\{0,1,\\ &#8230;\\ ,12\\}$ \u3068\u3057\u3001\u57fa\u6e96\u3068\u306a\u308b\u6700\u4f4e\u30d4\u30c3\u30c1\u3092 $C$ \u306b\u6307\u5b9a\u3057\u305f\u3068\u304d\u3068\u540c\u3058\u96c6\u5408 $P$ \u304c\u8868\u73fe\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001(1) \u306e\u5b9a\u7fa9\u306e\u3082\u3068\u3067\u3001 $P=\\{C,D,E,F,G,A,B,C\\}$ \u3068\u3059\u308c\u3070 C Major Scale \u3068\u306a\u308a\u3001 $P=\\{A,B,C,D,E,F,G,A\\}$ \u3068\u3059\u308c\u3070 A Minor Scale \u3068\u306a\u308a\u307e\u3059\u3002(3) \u306e\u5b9a\u7fa9\u3067\u306f\u3001 $P=\\{d_1,d_2,\\ &#8230;\\ ,d_8\\}$ \u3068\u3044\u3046\u62bd\u8c61\u7684\u306a\u5ea6\u6570\u306e\u5217\u306b\u306a\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u751f\u6210\u3055\u308c\u305f\u5ea6\u6570\u306e\u5217\u3092 C Major Scale \u306b\u5f53\u3066\u306f\u3081\u305f\u308a\u3001A Minor Scale \u306b\u5f53\u3066\u306f\u3081\u305f\u308a\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3067\u3059\u304c\u3001(1) \u306e\u5b9a\u7fa9\u306e\u3082\u3068\u3067 $P=\\{C,D,E,F,G,A,B,C\\}$ ( \u3059\u306a\u308f\u3061 C Major Scale ) \u3067\u30e1\u30ed\u30c7\u30a3\u3092\u751f\u6210\u3057\u305f\u3068\u3057\u3066\u3082\u3001\uff62 $C$ \u2192 $A$ \uff63\u3001\uff62 $D$ \u2192 $B$ \uff63\u3001\uff62 $E$ \u2192 $C$ \uff63 \uff65\uff65\uff65 \u3068\u3044\u3046\u3088\u3046\u306b\u97f3\u3092\u8aad\u307f\u5909\u3048\u308c\u3070\u3001A Minor Scale \u306b\u5909\u63db\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u306a\u304a\u3001\u5143\u306e\u8ad6\u6587\u306b\u306f (1) \u3084 (2) \u3092\u5b9a\u7fa9\u3068\u3057\u3066\u5229\u7528\u3057\u3001D-Wave \u30de\u30b7\u30f3\u3067\u5b9f\u9a13\u3092\u884c\u3063\u305f\u7d50\u679c\u3082\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E3%81%AE%E5%B0%8E%E5%85%A5\"><\/span>\u5236\u7d04\u306e\u5c0e\u5165<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u76ee\u6a19\u306f\u3001D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u3001$n$ \u500b\u306e\u97f3\u7b26\u3092\u751f\u6210\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u751f\u6210\u3055\u308c\u308b\u97f3\u7b26\u306f\u3001\u7a2e\u3005\u306e\u97f3\u697d\u898f\u5247\u306b\u5247\u3063\u305f\u3082\u306e\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u307e\u305a\u306f\u305d\u308c\u3089\u306e\u97f3\u697d\u898f\u5247\u3092\u6700\u9069\u5316\u554f\u984c\u306b\u304a\u3051\u308b\u5236\u7d04\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u305d\u308c\u3089\u306e\u5236\u7d04\u3092\u542b\u3080\u6700\u9069\u5316\u554f\u984c\u3092 D-Wave \u30de\u30b7\u30f3\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b QUBO \u5f62\u5f0f\u306b\u3059\u308b\u305f\u3081\u306b\u3001\u5236\u7d04\u3092\u9664\u53bb\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u5236\u7d04\u3092\u90e8\u5206\u7684\u306a\u6700\u5c0f\u5316\u554f\u984c\u306b\u5909\u63db\u3057\u307e\u3059\u3002\u306a\u304a\u3001\u5236\u7d04\u3092\u6700\u5c0f\u5316\u554f\u984c\u306b\u5909\u63db\u3059\u308b\u3053\u3068\u3092 \uff62 \u7de9\u548c \uff63 \u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u3067\u306f\u30014 \u3064\u306e\u97f3\u697d\u898f\u5247\u3092\u5236\u7d04\u306b\u843d\u3068\u3057\u8fbc\u307f\u3001\u305d\u308c\u3089\u3092\u6700\u5c0f\u5316\u554f\u984c\u306b\u7de9\u548c\u3059\u308b\u65b9\u6cd5\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E2%91%A0_i_%E7%95%AA%E7%9B%AE%E3%81%AE%E9%9F%B3%E7%AC%A6%E3%81%AE%E3%83%94%E3%83%83%E3%83%81%E3%81%AF_1_%E3%81%A4%E3%81%A0%E3%81%91\"><\/span>\u5236\u7d04\u2460 : $i$ \u756a\u76ee\u306e\u97f3\u7b26\u306e\u30d4\u30c3\u30c1\u306f 1 \u3064\u3060\u3051<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u4eca\u3001\u76ee\u6a19\u306b\u3057\u3066\u3044\u308b\u3053\u3068\u306f\u3001$n$ \u500b\u306e\u97f3\u7b26\u305d\u308c\u305e\u308c\u306b\u5bfe\u3057\u3066\u30d4\u30c3\u30c1\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$n$ \u500b\u306e\u97f3\u7b26\u305d\u308c\u305e\u308c\u306b 1 \u3064\u305a\u3064\u30d4\u30c3\u30c1\u3092\u6307\u5b9a\u3057\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3059\u306a\u308f\u3061\u3001\u3042\u308b 1 \u3064\u306e\u97f3\u7b26\u306b\u5bfe\u3057\u3066\u3001\u30d4\u30c3\u30c1\u304c\u6307\u5b9a\u3055\u308c\u306a\u304b\u3063\u305f\u308a\u3001\u3042\u308b\u3044\u306f\u8907\u6570\u306e\u30d4\u30c3\u30c1\u304c\u6307\u5b9a\u3055\u308c\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u907f\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u5236\u7d04\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\forall i \\in [n],\\ \\ \\sum_{j\\in P} x_{i,j}=1 \\tag{4}\n$$<\/p>\n\n\n\n<p>\u5f0f (4) \u306f\u3001\u4efb\u610f\u306e $i \\in [n]$ \u306b\u5bfe\u3057\u3066 $x_{i,j}=1 $ \u3068\u306a\u308b\u306f 1 \u3064\u3060\u3051\u3001\u3068\u3044\u3046\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001$i$ \u756a\u76ee\u306e\u97f3\u7b26\u306b\u6307\u5b9a\u3055\u308c\u308b\u30d4\u30c3\u30c1 $j$ \u306f 1 \u3064\u3060\u3051\u3001\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002\u3053\u306e\u7b49\u5f0f\u5236\u7d04\u306f\u3001\u4ee5\u4e0b\u306e\u6700\u5c0f\u5316\u554f\u984c\u306b\u7de9\u548c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\min_{\\vec{x}} \\ \\lambda_1 \\sum_{i\\in [n]} (1-\\sum_{j\\in P}{x_{i,j}})^2 \\tag{5}\n$$<\/p>\n\n\n\n<p>\u3059\u306a\u308f\u3061\u3001\u5f0f (4) \u306e\u7b49\u5f0f\u304c\u6e80\u305f\u3055\u308c\u306a\u304b\u3063\u305f\u5834\u5408\u3001\u305d\u306e\u8aa4\u5dee\u304c 2 \u4e57\u3055\u308c\u3066\u8db3\u3055\u308c\u308b\u305f\u3081\u3001\u6700\u5c0f\u5316\u306b\u53cd\u3059\u308b\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5f0f (5) \u306b\u304a\u3051\u308b $\\sum_{i\\in [n]} (1-\\sum_{j\\in P}{x_{i,j}})^2$ \u3068\u3044\u3046\u9805\u3092\u3001\u4fc2\u6570 $\\lambda_1$ \u3092\u639b\u3051\u305f\u4e0a\u3067\u76ee\u7684\u95a2\u6570\u306b\u8ffd\u52a0\u3059\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u3053\u306e\u5236\u7d04\u3092\u6e80\u305f\u3059\u3088\u3046\u306a\u89e3\u304c D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u8a00\u3046\u76ee\u7684\u95a2\u6570\u3068\u306f\u3001\u6700\u5c0f\u5316\u554f\u984c\u306b\u304a\u3051\u308b\u3001\u6700\u5c0f\u5316\u3059\u308b\u5bfe\u8c61\u306e\u95a2\u6570\u306e\u3053\u3068\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u306a\u304a\u3001\u3053\u306e\u5236\u7d04\u306f\u4ee5\u964d\u306b\u7d9a\u304f\u5236\u7d04\u306e\u4e2d\u3067\u6700\u3082\u91cd\u8981\u3067\u3042\u308b\u305f\u3081\u3001\u4fc2\u6570 $\\lambda_1$ \u306f\u5341\u5206\u306b\u5927\u304d\u304f\u8a2d\u5b9a\u3057\u307e\u3059\u3002\u4fc2\u6570\u304c\u5c0f\u3055\u304f\u8a2d\u5b9a\u3055\u308c\u305f\u5236\u7d04\u306f\u3001\u4fc2\u6570\u304c\u3088\u308a\u5927\u304d\u3044\u5236\u7d04\u306b\u6bd4\u3079\u3066\u512a\u5148\u5ea6\u304c\u4f4e\u304f\u306a\u308a\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u76ee\u7684\u95a2\u6570\u5168\u4f53\u306e\u6700\u5c0f\u5316\u306e\u305f\u3081\u306b\u3001\u5236\u7d04\u304c\u7834\u3089\u308c\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E2%91%A1_%E5%90%8C%E3%81%98%E9%9F%B3%E3%82%92_3_%E5%9B%9E%E4%BB%A5%E4%B8%8A%E9%80%A3%E7%B6%9A%E3%81%97%E3%81%A6%E5%87%BA%E3%81%95%E3%81%AA%E3%81%84\"><\/span>\u5236\u7d04\u2461 : \u540c\u3058\u97f3\u3092 3 \u56de\u4ee5\u4e0a\u9023\u7d9a\u3057\u3066\u51fa\u3055\u306a\u3044<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u540c\u3058\u97f3\u304c\u305a\u3063\u3068\u7d9a\u304f\u3068\u5358\u8abf\u306a\u697d\u66f2\u306b\u306a\u3063\u3066\u3057\u307e\u3046\u305f\u3081\u3001\u3053\u3053\u3067\u306f\u540c\u3058\u97f3\u304c\u9023\u7d9a\u3059\u308b\u306e\u3092 2 \u56de\u307e\u3067\u306b\u5236\u9650\u3057\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u540c\u3058\u97f3\u3092 3 \u56de\u4ee5\u4e0a\u9023\u7d9a\u3057\u3066\u51fa\u3055\u306a\u3044\u3088\u3046\u306b\u3059\u308b\u5236\u7d04\u3092\u52a0\u3048\u307e\u3059\u3002\u3053\u3053\u3067\u3001\u540c\u3058\u97f3\u304c 3 \u56de\u51fa\u3055\u308c\u308b\u3001\u3068\u3044\u3046\u72b6\u614b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\exists i \\in [n-2],\\ \\ \\exists j \\in P,\\ \\ x_{i,j}=x_{i+1,j}=x_{i+2,j}=1 \\tag{6}\n$$<\/p>\n\n\n\n<p>\u3059\u306a\u308f\u3061\u3001$i$ \u756a\u76ee\u306e\u97f3\u7b26\u304c\u30d4\u30c3\u30c1 $j$ \u3067\u3001$i+1$ \u756a\u76ee\u306e\u97f3\u7b26\u3082\u30d4\u30c3\u30c1 $j$ \u3067\u3001\u3055\u3089\u306b $i+2$ \u756a\u76ee\u306e\u97f3\u7b26\u3082\u30d4\u30c3\u30c1 $j$ \u3068\u3044\u3046\u72b6\u614b\u3067\u3059\u3002\u3053\u308c\u3092\u9632\u3050\u305f\u3081\u306b\u306f\u3001$x_{i,j} \\ ,\\ x_{i+1,j} \\ ,\\ x_{i+2,j}$ \u306e\u3046\u3061\u3069\u308c\u304b 1 \u3064\u3067\u3082 0 \u306b\u306a\u308c\u3070\u826f\u3044\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u6700\u5c0f\u5316\u554f\u984c\u306b\u7de9\u548c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\min_{\\vec{x}} \\ \\lambda_2 \\sum_{j\\in P}{\\sum_{i\\in [n-2]}{x_{i,j} \\ x_{i+1,j} \\ x_{i+2,j}}} \\tag{7}\n$$<\/p>\n\n\n\n<p>\u4eca\u3001$x_{i,j} \\in \\{0,1\\}$ \u3067\u3042\u308b\u306e\u3067\u3001$x_{i,j} \\ ,\\ x_{i+1,j} \\ ,\\ x_{i+2,j}$ \u306e\u3046\u3061\u3069\u308c\u304b 1 \u3064\u3067\u3082 0 \u306b\u306a\u308c\u3070\u3001\u3053\u308c\u3089\u306e\u7a4d $x_{i,j} \\ x_{i+1,j} \\ x_{i+2,j}$ \u306f 0 \u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E2%91%A2_%E6%9C%80%E5%88%9D%E3%81%A8%E6%9C%80%E5%BE%8C%E3%81%AE%E9%9F%B3%E3%82%92%E6%8C%87%E5%AE%9A\"><\/span>\u5236\u7d04\u2462 : \u6700\u521d\u3068\u6700\u5f8c\u306e\u97f3\u3092\u6307\u5b9a<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u751f\u6210\u3059\u308b\u697d\u66f2\u306b\u304a\u3044\u3066\u3001\u6700\u521d\u3068\u6700\u5f8c\u306e\u97f3\u3092\u6307\u5b9a\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u6700\u521d ( $i=1$ \u756a\u76ee ) \u306e\u97f3\u3068\u6700\u5f8c ( $i=n$ \u756a\u76ee ) \u306e\u97f3\u3092 $P=\\{d_1,d_2,\\ &#8230;\\ ,d_8\\}$ \u306e\u4e2d\u306e $d_1$ ( 1 \u5ea6 ) \u306b\u6307\u5b9a\u3059\u308b\u3053\u3068\u306b\u3057\u307e\u3059\u3002\u5b9f\u969b\u306e\u4f5c\u66f2\u306b\u304a\u3044\u3066\u3082\u3001\u697d\u66f2\u306e\u6700\u521d\u3068\u6700\u5f8c\u306e\u97f3\u3092\u97f3\u968e\u306e 1 \u5ea6 ( \u4e3b\u97f3 ) \u306b\u3059\u308b\u3053\u3068\u304c\u591a\u3044\u3088\u3046\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001 $i=1$ \u756a\u76ee\u306e\u97f3\u7b26\u3092 $j=1$ ( \u5ea6 )\u3001$i=n$ \u756a\u76ee\u306e\u97f3\u7b26\u3092 $j=1$ ( \u5ea6 ) \u306b\u3059\u308b\u5236\u7d04\u3092\u52a0\u3048\u307e\u3059\u3002\u3053\u306e\u5236\u7d04\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\nx_{1,1}=x_{n,1}=1 \\tag{8}\n$$<\/p>\n\n\n\n<p>\u3059\u306a\u308f\u3061\u3001$x_{1,1}$ \u3068 $x_{n,1}$ \u304c\u4e21\u65b9\u3068\u3082\uff11\u306b\u306a\u308c\u3070\u826f\u3044\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u6700\u5c0f\u5316\u554f\u984c\u306b\u7de9\u548c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\min_{\\vec{x}} \\ \\lambda_3 (-x_{1,1}-x_{n,1}) \\tag{9}\n$$<\/p>\n\n\n\n<p>\u4eca\u3001 $x_{i,j} \\in \\{0,1\\}$ \u3067\u3042\u308b\u306e\u3067\u3001 $x_{1,1}$ \u3068 $x_{n,1}$ \u304c\u4e21\u65b9 1 \u306b\u306a\u308c\u3070 $-x_{1,1}-x_{n,1}$ \u306f\u6700\u5c0f\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%B6%E7%B4%84%E2%91%A3_%E5%82%BE%E6%80%A7%E9%9F%B3%E3%81%AE%E5%8F%96%E3%82%8A%E6%89%B1%E3%81%84\"><\/span>\u5236\u7d04\u2463 : \u50be\u6027\u97f3\u306e\u53d6\u308a\u6271\u3044<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>\u97f3\u968e\u306e\u4e2d\u306b\u306f \uff62 \u50be\u6027\u97f3 \uff63 \u3068\u547c\u3070\u308c\u308b\u3001\u5358\u4f53\u3067\u9cf4\u308b\u3068\u4e0d\u5b89\u5b9a\u306a\u97f3\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u306e\u50be\u6027\u97f3\u304c\u9cf4\u3063\u305f\u5834\u5408\u306b\u306f\u3001\u305d\u306e\u6b21\u306e\u97f3\u7b26\u3092\u7279\u5b9a\u306e\u3082\u306e\u306b\u6307\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u97f3\u968e\u306e \uff62 2\u30014\u30016 \u5ea6\u306e\u6b21\u306b\u306f 1 \u5ea6\u3060\u3051\u4e0b\u306e\u97f3 \uff63 \u3092\u3001 \uff62 7 \u5ea6\u306e\u6b21\u306b\u306f 1 \u5ea6\u3060\u3051\u4e0a\u306e\u97f3 \uff63 \u3092\u6307\u5b9a\u3057\u307e\u3059\u3002\u3053\u306e\u5236\u7d04\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u5f0f\u5316\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\begin{equation} \\left \\{\\begin{array}{l} x_{i,2}=1\\ \u306a\u3089\u3070\\ x_{i+1,1}=1 \\\\ x_{i,4}=1\\ \u306a\u3089\u3070\\ x_{i+1,3}=1 \\\\ x_{i,6}=1\\ \u306a\u3089\u3070\\ x_{i+1,5}=1 \\\\ x_{i,7}=1\\ \u306a\u3089\u3070\\ x_{i+1,8}=1 \\end{array}\\right.\\end{equation} \\tag{10}\n$$<\/p>\n\n\n\n<p>\u3059\u306a\u308f\u3061\u3001$i$ \u756a\u76ee\u306e\u97f3\u3068\u3057\u3066\u3001\u4f8b\u3048\u3070\u97f3\u968e\u306e 2 \u5ea6\u304c\u9078\u3070\u308c\u3066\u3057\u307e\u3063\u305f ( $x_{i,2}=1$ ) \u5834\u5408\u3001\u6b21\u306e $i+1$ \u756a\u76ee\u306e\u97f3\u306f\u97f3\u968e\u306e 1 \u5ea6\u3067\u3042\u308b ( $x_{i+1,1}=1$ ) \u5fc5\u8981\u304c\u3042\u308b\u3001\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001$x_{i,2}=0$ \u3067\u3042\u308c\u3070\u3001\u305d\u3082\u305d\u3082\u50be\u6027\u97f3\u304c\u9cf4\u3089\u306a\u3044\u305f\u3081\u3001\u554f\u984c\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002 $i$ \u756a\u76ee\u306e\u97f3\u304c 4 \u5ea6\u30016 \u5ea6\u30017 \u5ea6\u3067\u3042\u3063\u305f\u5834\u5408\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306e\u3053\u3068\u304c\u8a00\u3048\u307e\u3059\u3002\u4ee5\u4e0a\u3092\u8e0f\u307e\u3048\u3066\u3001\u50be\u6027\u97f3\u306b\u95a2\u3059\u308b\u5236\u7d04\u306f\u4ee5\u4e0b\u306e\u6700\u5c0f\u5316\u554f\u984c\u306b\u7de9\u548c\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\min_{\\vec{x}} \\ \\lambda_4 \\sum_{i \\in [n-1]}{\\{ x_{i,2}(1-x_{i+1,1}) + x_{i,4}(1-x_{i+1,3}) + x_{i,6}(1-x_{i+1,5}) + x_{i,7}(1-x_{i+1,8}) \\} }\\tag{11}\n$$<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001$x_{i,2}(1-x_{i+1,1})$ \u3068\u3044\u3046\u9805\u306b\u3064\u3044\u3066\u8003\u3048\u308b\u3068\u3001$x_{i,2}=1$ \u304b\u3064 $x_{i+1,1}=0$ \u306e\u3068\u304d $x_{i,2}(1-x_{i+1,1}) =1$ \u3068\u306a\u308a\u3001\u5f0f (11) \u306e\u5168\u4f53\u304c\u5927\u304d\u304f\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001$x_{i,2}=1$ \u306a\u3089\u3070 $x_{i+1,1}=1$ \u3068\u306a\u308b\u3053\u3068\u3092\u6c42\u3081\u308b\u5b9a\u5f0f\u5316\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u3053\u306e\u9805\u306f \uff62 2 \u5ea6\u306e\u6b21\u306f 1 \u5ea6 \uff63 \u3068\u3044\u3046\u5236\u7d04\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u307e\u3059\u3002\u4ed6\u306e 3 \u3064\u306e\u9805 $x_{i,4}(1-x_{i+1,3}) $\u3001$x_{i,6}(1-x_{i+1,5}) $\u3001$x_{i,7}(1-x_{i+1,8})$ \u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u306b\u8003\u3048\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u305d\u308c\u305e\u308c \uff62 4 \u5ea6\u306e\u6b21\u306f 3 \u5ea6 \uff63\u3001\uff62 6 \u5ea6\u306e\u6b21\u306f 5 \u5ea6 \uff63\u3001\uff62 7 \u5ea6\u306e\u6b21\u306f 8 \u5ea6 \uff63 \u3068\u3044\u3046\u5236\u7d04\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%A0%B1%E9%85%AC%E3%81%AE%E5%B0%8E%E5%85%A5\"><\/span>\u5831\u916c\u306e\u5c0e\u5165<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3053\u308c\u307e\u3067\u306f\u3001\u76ee\u7684\u95a2\u6570\u306b\u5236\u7d04\u306e\u307f\u3092\u52a0\u3048\u3066\u304d\u307e\u3057\u305f\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5236\u7d04\u306b\u9055\u53cd\u3057\u306a\u3044\u97f3\u7b26\u306e\u5217\u306f\u5168\u3066\u5b9f\u884c\u53ef\u80fd\u89e3 ( \u76ee\u7684\u95a2\u6570\u3092\u6700\u5c0f\u306b\u3059\u308b\u89e3 ) \u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3088\u3063\u3066\u3001\u4eca\u5ea6\u306f\u305d\u308c\u3089\u306e\u5b9f\u884c\u53ef\u80fd\u89e3\u3092\u533a\u5225\u3059\u308b\u305f\u3081\u306b\u3001\u76ee\u7684\u95a2\u6570\u306b \uff62 \u5831\u916c \uff63 \u3092\u5c0e\u5165\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u4ee5\u4e0b\u306b\u793a\u3059\u3088\u3046\u306b\u3001\u7279\u5b9a\u306e\u97f3\u304c\u9023\u7d9a\u3057\u305f\u3068\u304d\u306b\u3001\u76ee\u7684\u95a2\u6570\u3092\u6e1b\u5c11\u3055\u305b\u308b\u9805\u3092\u8ffd\u52a0\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n-\\lambda&#8217; \\sum_{ \\substack {i \\in [n-1] \\\\ j,j&#8217; \\in P} }{W_{j,j&#8217;} \\ x_{i,j} \\ x_{i+1,j&#8217;}} \\tag{12}\n$$<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$W_{j,j&#8217;}$ \u306f $i$ \u756a\u76ee\u306e\u97f3\u304c $j$ \u3001$i+1$ \u756a\u76ee\u306e\u97f3\u304c $j&#8217;$ \u3067\u3042\u3063\u305f\u3068\u304d\u306e\u5831\u916c\u306e\u5927\u304d\u3055 ( \u91cd\u307f ) \u3092\u8868\u3059\u4fc2\u6570\u3067\u3059\u3002\u30d4\u30c3\u30c1\u306e\u7d44\u307f\u5408\u308f\u305b\u3054\u3068\u306b\u91cd\u307f\u3092\u8a2d\u5b9a\u3059\u308b\u305f\u3081\u3001$W_{j,j&#8217;}$ \u306f\u884c\u5217\u3067\u3059\u3002\u3053\u306e\u91cd\u307f\u306e\u884c\u5217\u306f\u65e2\u5b58\u306e\u697d\u66f2\u3092\u5206\u6790\u3057\u3001\u9023\u7d9a\u3059\u308b\u97f3\u7b26\u3092\u8abf\u3079\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u5f62\u6210\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u4f8b\u3068\u3057\u3066\u30d9\u30fc\u30c8\u30fc\u30f4\u30a7\u30f3 ( Beethoven ) \u306e \uff62 \u6b53\u559c\u306e\u6b4c ( Ode to Joy ) \uff63 \u306e\u4e00\u90e8\u3092\u53d6\u308a\u4e0a\u3052\u307e\u3059\u3002\u305d\u306e\u629c\u7c8b\u90e8\u5206\u3092\u4ee5\u4e0b\u306e\u56f3 1 \u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-3175\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/16b79c7c3870d916623219ae8d6293a5-300x41.png\" alt=\"\" class=\"wp-image-3175\"\/><figcaption class=\"wp-element-caption\"><span style=\"font-size: 12pt;\">\u56f3 1 : \u30d9\u30fc\u30c8\u30fc\u30f4\u30a7\u30f3 ( Beethoven ) \u306e \uff62 \u6b53\u559c\u306e\u6b4c ( Ode to Joy ) \uff63 \u304b\u3089\u306e\u629c\u7c8b ( <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2201.10557\">https:\/\/doi.org\/10.48550\/arXiv.2201.10557<\/a> )<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 1 \u306e\u697d\u8b5c\u306b\u3042\u308b 15 \u500b\u306e\u97f3\u7b26\u304b\u3089\u3001\u9023\u7d9a\u3059\u308b\u97f3\u7b26\u306e\u30da\u30a2 ( 14 \u30da\u30a2 ) \u3092\u6570\u3048\u4e0a\u3052\u3001\u305d\u306e\u51fa\u73fe\u56de\u6570\u3092\u91cd\u307f\u3068\u3057\u307e\u3059\u3002\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u884c\u5217 $W_{j,j&#8217;}$ \u306e\u6210\u5206\u304c\u8a2d\u5b9a\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\n\\begin{equation} \\begin{split} W_{F\\#4,E4}=2,\\ W_{F\\#4,F\\#4}=2,\\ W_{F\\#4,G4}=1,\\ W_{G4,F\\#4}=1, \\ W_{G4,A4}=1, \\\\ W_{A4,G4}=1,\\ W_{A4,A4}=1,\\ W_{E4,D4}=1, \\ W_{E4,E4}=1, \\\\ W_{E4,F\\#4}=1,\\ W_{D4,D4}=1,\\ W_{D4,E4}=1 \\end{split} \\end{equation} \\tag{13}\n$$<\/p>\n\n\n\n<p>\u306a\u304a\u3001\u3053\u3053\u3067\u8a2d\u5b9a\u3057\u305f $W_{j,j&#8217;}$ \u306f $j,j&#8217; \\in P \\times P$ \u306e\u5168\u8981\u7d20\u3092\u542b\u3093\u3067\u3044\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u305d\u308c\u3089\u306e\u30da\u30a2\u306e\u91cd\u307f\u306f\u5168\u3066\uff10\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u91cd\u307f\u304c\uff10\u3060\u3068\u3057\u3066\u3082\u3001\u5831\u916c\u304c\u8a2d\u5b9a\u3055\u308c\u3066\u3044\u306a\u3044\u3060\u3051\u3067\u3042\u3063\u3066\u3001\u5bfe\u5fdc\u3059\u308b\u97f3\u306e\u30da\u30a2\u304c\u5236\u7d04\u3068\u3057\u3066\u907f\u3051\u3089\u308c\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u3042\u308b\u97f3\u306e\u30da\u30a2\u304c \uff62 \u5236\u7d04 \uff63 \u3068 \uff62 \u5831\u916c \uff63 \u306e\u4e21\u65b9\u3092\u6301\u3063\u3066\u3044\u305f\u5834\u5408\u306b\u306f\u3001\uff62 \u5236\u7d04 \uff63 \u306e\u65b9\u304c\u512a\u5148\u3055\u308c\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001\u76ee\u7684\u95a2\u6570\u304c ( \u9055\u53cd\u306b\u3088\u308b\u5897\u52a0 ) &gt; ( \u5831\u916c\u306b\u3088\u308b\u6e1b\u5c11 ) \u3068\u306a\u308b\u3088\u3046\u306b\u4fc2\u6570 $\\lambda&#8217;$ \u3092\u8abf\u6574\u3057\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<p>\u3053\u308c\u307e\u3067\u306b\u5c0e\u5165\u3057\u3066\u304d\u305f\u5236\u7d04\u3084\u5831\u916c\u3092\u76ee\u7684\u95a2\u6570\u306b\u8ffd\u52a0\u3057\u3001D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u5b9f\u969b\u306b\u89e3\u3092\u6c42\u3081\u305f\u7d50\u679c\u3092\u793a\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u3059\u306a\u308f\u3061\u3001D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u3001\u76ee\u7684\u95a2\u6570\u306b\u95a2\u3059\u308b\u6700\u5c0f\u5316\u554f\u984c\u3092\u8fd1\u4f3c\u7684\u306b\u89e3\u304d\u307e\u3059\u3002D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u308b\u89e3\u306f\u3001\u5fc5\u305a\u3057\u3082\u76ee\u7684\u95a2\u6570\u3092\u6700\u5c0f\u306b\u3059\u308b\u89e3\u3068\u306f\u9650\u3089\u306a\u3044\u305f\u3081\u3001D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u308b\u8907\u6570\u306e\u89e3\u306e\u5019\u88dc\u306e\u4e2d\u304b\u3089\u3001\u76ee\u7684\u95a2\u6570\u304c\u4e00\u756a\u5c0f\u3055\u304f\u306a\u3063\u3066\u3044\u308b\u3082\u306e\u3092\u9078\u629e\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u3001\u76ee\u7684\u95a2\u6570\u3068\u306f\u3001\u3053\u308c\u307e\u3067\u306b\u5c0e\u5165\u3057\u3066\u304d\u305f\u5831\u916c\u9805\u3084\u5236\u7d04\u9805\u3092\u8db3\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u306f\u3058\u3081\u306b\u3001\u5236\u7d04 \u2460\u3001\u2462\u3001\u2463 \u3092\u9069\u7528\u3057\u3066 D-Wave \u30de\u30b7\u30f3\u306b\u3088\u3063\u3066\u89e3\u3092\u6c42\u3081\u305f\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002\u5236\u7d04 \u2460\u3001\u2462\u3001\u2463 \u306b\u5bfe\u3057\u3066\u5b9a\u7fa9\u3057\u305f\u6700\u5c0f\u5316\u554f\u984c ( \u5f0f (5)\u3001(9)\u3001(11) ) \u3092\u76ee\u7684\u95a2\u6570\u306b\u8ffd\u52a0\u3057\u3001QUBO \u5f62\u5f0f\u306b\u3057\u305f\u4e0a\u3067\u3001D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5909\u6570 $x_{i,j} \\in \\{ 0,1\\}$ \u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u53d6\u5f97\u3057\u3066\u3044\u307e\u3059\u3002D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u305f\u89e3\u3092 C Major ( \u4e0a )\u3001G Minor ( \u4e0b ) \u3067\u697d\u8b5c\u306b\u3057\u305f\u3082\u306e\u3092\u4ee5\u4e0b\u306e\u56f3 2 \u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-3176\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/729247ef94be4b2fa7c9885b7bdd8ba1-300x96.png\" alt=\"\" class=\"wp-image-3176\"\/><figcaption class=\"wp-element-caption\"><span style=\"font-size: 12pt;\">\u56f3 2 : \u5236\u7d04\u2460\u3001\u2462\u3001\u2463 \u3092\u9069\u7528\u3057\u3001D-Wave\u304b\u3089\u5f97\u305f\u5ea6\u6570\u306e\u5217\u3092C Major ( \u4e0a )\u3001G Minor ( \u4e0b ) \u3067\u697d\u8b5c\u306b\u3057\u305f\u3082\u306e ( <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2201.10557\">https:\/\/doi.org\/10.48550\/arXiv.2201.10557<\/a> )<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 2 \u306e\u4e94\u7dda\u8b5c\u306e\u4e0a\u306b\u3042\u308b\u6570\u5b57\u304c\u5ea6\u6570\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070 \uff62 1 \uff63 \u306f $P=\\{d_1,d_2,\\ &#8230;\\ ,d_8\\}$ \u306e ( 1 \u5ea6 ) \u306b\u3042\u305f\u308a\u307e\u3059\u3002\u4e0a\u306e\u697d\u8b5c\u3068\u4e0b\u306e\u697d\u8b5c\u3068\u3067\u306f\u4f7f\u7528\u3057\u3066\u3044\u308b\u97f3\u968e\u304c\u7570\u306a\u308b\u305f\u3081\u3001\u97f3\u7b26\u306e\u5217\u306e\u898b\u305f\u76ee\u306f\u7570\u306a\u308a\u307e\u3059\u304c\u3001D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u305f\u89e3\u306f\u540c\u3058\u3082\u306e\u3092\u4f7f\u7528\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u5ea6\u6570\u306e\u5217\u306f\u4e00\u81f4\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5ea6\u6570\u306e\u5217\u3092\u898b\u308b\u3068\u3001\u6700\u521d\u3068\u6700\u5f8c\u306e\u97f3\u7b26\u306e\u5ea6\u6570\u304c\uff11\u5ea6\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5236\u7d04 \u2462 \u304c\u5b88\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u30014 \u5ea6\u306e\u6b21\u306f 3 \u5ea6\u30016 \u5ea6\u306e\u6b21\u306f 5 \u5ea6\u30017 \u5ea6\u306e\u6b21\u306f 8 \u5ea6\u4e0a\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u5f93\u3063\u3066\u3001\u5236\u7d04 \u2463 \u304c\u5b88\u3089\u308c\u3066\u3044\u308b\u3053\u3068\u3082\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u4eca\u56de\u306f\u9023\u7d9a\u3057\u305f\u97f3\u306b\u95a2\u3059\u308b\u5236\u7d04 \u2461 \u3092\u9069\u7528\u3057\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u5ea6\u6570 3 \u306e\u97f3\u304c 3 \u56de\u7d9a\u3044\u3066\u3044\u308b\u7b87\u6240\u304c\u898b\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6b21\u306b\u3001\u5236\u7d04 \u2460\uff5e\u2463 ( \u5f0f (5)\u3001(7)\u3001(9)\u3001(11) ) \u306b\u52a0\u3048\u3001\u5831\u916c\u9805 (\u5f0f (12) ) \u3092\u76ee\u7684\u95a2\u6570\u306b\u8ffd\u52a0\u3057\u305f\u4e0a\u3067\u3001D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u89e3\u3092\u6c42\u3081\u305f\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002D-Wave \u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u305f\u3001\u76ee\u7684\u95a2\u6570\u3092\u6700\u5c0f\u306b\u3059\u308b\u89e3\u3092\u300c\u6b53\u559c\u306e\u6b4c\u300d\u3068\u540c\u69d8\u306e\u97f3\u968e ( D-Minor ) \u3067\u697d\u8b5c\u306b\u3057\u305f\u3082\u306e\u3092\u4ee5\u4e0b\u306e\u56f3 3 \u306b\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-3178\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/38f3bf3e3069256a12cf65c0b820d454-300x39.png\" alt=\"\" class=\"wp-image-3178\"\/><figcaption class=\"wp-element-caption\"><span style=\"font-size: 12pt;\">\u56f3 3 : \u5236\u7d04 \u2460\uff5e\u2463 \u304a\u3088\u3073\u5831\u916c\u3092\u9069\u7528\u3057\u3001D-Wave \u304b\u3089\u5f97\u3089\u308c\u305f\u89e3\u3092 D-Minor \u3067\u697d\u8b5c\u306b\u3057\u305f\u3082\u306e ( <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2201.10557\">https:\/\/doi.org\/10.48550\/arXiv.2201.10557<\/a> )<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u56f3 3 \u306e\u697d\u8b5c\u304c\u793a\u3059\u3088\u3046\u306b\u3001\u5236\u7d04 \u2462 \u3092\u52a0\u3048\u305f\u3053\u3068\u306b\u3088\u308a\u3001\u4eca\u56de\u306f 3 \u56de\u540c\u3058\u97f3\u304c\u7d9a\u304f\u3053\u3068\u304c\u306a\u304f\u306a\u308a\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u6700\u521d\u3068\u6700\u5f8c\u3092 1 \u5ea6\u306e\u97f3 ( \u3053\u3053\u3067\u306f $D4$ ) \u306b\u3059\u308b\u5236\u7d04 \u2463 \u3082\u5b88\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u305d\u3057\u3066\u3001\u8b5c\u9762\u306b\u306f \uff62$\\ G4,\\ F \\# 4 \\ $\uff63 \u3068\u3044\u3046\u30d1\u30bf\u30fc\u30f3\u304c 4 \u56de\u3001\uff62$\\ A4 , \\ G4 \\ $\uff63 \u3068\u3044\u3046\u30d1\u30bf\u30fc\u30f3\u304c 3 \u56de\u73fe\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u3001$\\ W_{G4, F \\# 4}=1 \\ $ \u3084 $\\ W_{A4 , G4}=1 \\ $ \u3068\u3044\u3046\u91cd\u307f\u3092\u52a0\u3048\u305f\u52b9\u679c\u3060\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u3001\uff62$\\ F\\#4 ,\\ E4 \\ $\uff63 \u3084 \uff62$\\ F\\# 4 ,\\ F\\#4 \\ $\uff63 \u306e\u3088\u3046\u306b\u3001\u3088\u308a\u5927\u304d\u306a\u91cd\u307f ($ \\ W_{F\\#4 , E4}=2,\\ W_{F\\# 4 , F\\#4}=2 \\ $) \u3092\u8a2d\u5b9a\u3057\u305f\u30da\u30a2\u306f\u51fa\u73fe\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u5831\u916c\u306b\u6bd4\u3079\u3066\u5236\u7d04\u306e\u512a\u5148\u5ea6\u304c\u5927\u304d\u304b\u3063\u305f\u305f\u3081\u3067\u3042\u308b\u3068\u4e88\u60f3\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5236\u7d04\u3084\u5831\u916c\u306e\u512a\u5148\u5ea6\u3092\u6c7a\u5b9a\u3059\u308b\u4fc2\u6570 $\\lambda_1,\\ \\lambda_2,\\ \\lambda_3,\\ \\lambda_4,\\ \\lambda&#8217; $ \u3092\u9069\u5207\u306b\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3060\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span>\u7d50\u8ad6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u7528\u3044\u3066\u30e1\u30ed\u30c7\u30a3\u3092\u751f\u6210\u3059\u308b\u305f\u3081\u306b\u3001\u4f5c\u66f2\u3068\u3044\u3046\u30d7\u30ed\u30bb\u30b9\u3092\u6700\u9069\u5316\u554f\u984c\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3059\u308b\u65b9\u6cd5\u3092\u691c\u8a0e\u3057\u3066\u304d\u307e\u3057\u305f\u3002\u5177\u4f53\u7684\u306b\u306f\u3001\u69d8\u3005\u306a\u97f3\u697d\u898f\u5247\u3092\u5236\u7d04\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3059\u308b\u65b9\u6cd5\u3092\u63d0\u6848\u3057\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u65e2\u5b58\u306e\u697d\u66f2\u306b\u304a\u3051\u308b\u3001\u9023\u7d9a\u3059\u308b\u97f3\u7b26\u306e\u30da\u30a2\u306b\u5831\u916c\u3092\u4e0e\u3048\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u305d\u306e\u697d\u66f2\u306b\u8fd1\u3044\u66f2\u3092\u751f\u6210\u3059\u308b\u65b9\u6cd5\u3092\u5c0e\u5165\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5b9f\u9a13\u7d50\u679c\u304b\u3089\u3001D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u3001\u5236\u7d04\u306b\u5f93\u3063\u305f\u697d\u66f2\u304c\u751f\u6210\u3067\u304d\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u5404\u7a2e\u5236\u7d04\u304a\u3088\u3073\u5831\u916c\u306e\u512a\u5148\u5ea6\u3092\u6c7a\u3081\u308b\u4fc2\u6570\u3092\u9069\u5207\u306b\u8abf\u6574\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3042\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A3%9C%E8%B6%B3_%E9%9F%B3%E6%A5%BD%E7%9A%84%E3%81%AA%E7%9F%A5%E8%AD%98\"><\/span>\u88dc\u8db3 : \u97f3\u697d\u7684\u306a\u77e5\u8b58<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u672c\u8a18\u4e8b\u306b\u304a\u3044\u3066\u5fc5\u8981\u306b\u306a\u308b\u97f3\u697d\u7684\u306a\u77e5\u8b58\u3092\u7c21\u5358\u306b\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u306f\u3058\u3081\u306b\u3001\u97f3\u306e\u540d\u524d ( \u97f3\u540d ) \u3092\u8868\u73fe\u3059\u308b\u305f\u3081\u306b\u65e5\u672c\u3067\u4f7f\u308f\u308c\u3066\u3044\u308b \uff62 \u30c9\uff65\u30ec\uff65\u30df\uff65\u30d5\u30a1\uff65\u30bd\uff65\u30e9\uff65\u30b7 \uff63 \u3068\u3044\u3046\u8868\u8a18\u306f\u3001\u82f1\u8a9e\u3067\u306f \uff62$\\ C \\cdot D \\cdot E \\cdot F \\cdot G \\cdot A \\cdot B \\ $\uff63 \u3068\u3044\u3046\u8868\u8a18\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u5f8c\u8005\u306e\u82f1\u8a9e\u3067\u306e\u8868\u8a18\u3092\u7528\u3044\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4f8b\u3048\u3070 \uff62$\\ C \\ $\u300d\u3068\u66f8\u3044\u305f\u3068\u304d\u306b\u306f \uff62 \u30c9 \uff63 \u306e\u97f3\u3092\u6307\u3057\u3001\uff62$\\ D \\ $\uff63 \u3068\u66f8\u3044\u305f\u3068\u304d\u306b\u306f \uff62 \u30ec \uff63 \u306e\u97f3\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\u30d4\u30a2\u30ce\u306e\u9375\u76e4\u4e0a\u3067\u306e \uff62$\\ C \\cdot D \\cdot E \\cdot F \\cdot G \\cdot A \\cdot B \\ $\uff63 \u306e\u914d\u7f6e\u306f\u4ee5\u4e0b\u306e\u56f3 4 \u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u56f3 4 \u306e\u9375\u76e4\u306b\u306f \uff62$\\ C \\ $\uff63 \u304c 2 \u56de\u767b\u5834\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u3053\u306e\u3088\u3046\u306b\u9375\u76e4\u4e0a\u306b\u306f\u540c\u3058\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306e\u97f3\u304c\u3044\u304f\u3064\u3082\u5b58\u5728\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\uff62$\\ C4 \\ $\uff63 \u3084 \uff62$\\ C5 \\ $ \uff63 \u306e\u3088\u3046\u306b\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u3068\u6570\u5b57\u3067\u66f8\u304f\u3053\u3068\u306b\u3088\u308a\u3001\u3069\u306e \uff62$\\ C \\ $\uff63 \u306a\u306e\u304b\u3092\u533a\u5225\u3057\u307e\u3059\u3002\u4ed6\u306e\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u306b\u3064\u3044\u3066\u3082\u540c\u69d8\u3067\u3059\u3002\u306a\u304a\u3001\u540c\u3058\u30a2\u30eb\u30d5\u30a1\u30d9\u30c3\u30c8\u540c\u58eb\u306e \uff62 \u97f3\u306e\u9ad8\u3055\u306e\u5dee ( = \u97f3\u7a0b ) \uff63 \u3092 1 \u30aa\u30af\u30bf\u30fc\u30d6\u3068\u547c\u3073\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u4f8b\u3048\u3070 \uff62$\\ C4 \\ $\uff63 \u3068 \uff62$\\ C5 \\ $\uff63 \u306f 1 \u30aa\u30af\u30bf\u30fc\u30d6\u96e2\u308c\u3066\u304a\u308a\u3001\uff62$\\ B4 \\ $\uff63 \u3068 \uff62$\\ B6 \\ $\uff63 \u306f 2 \u30aa\u30af\u30bf\u30fc\u30d6\u96e2\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-3179\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/cmajorscale-300x153.png\" alt=\"\" class=\"wp-image-3179\"\/><figcaption class=\"wp-element-caption\"><span style=\"font-size: 12pt;\">\u56f3 4 : <span style=\"font-family: georgia, palatino, serif;\">C Major Scale<\/span><\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u4e94\u7dda\u8b5c\u4e0a\u306b\u304a\u3051\u308b \uff62$\\ C \\cdot D \\cdot E \\cdot F \\cdot G \\cdot A \\cdot B \\cdot C\\ $\uff63 \u306e\u914d\u7f6e\u3092\u4ee5\u4e0b\u306e\u56f3 5 \u306b\u793a\u3057\u307e\u3059\u3002\u4e94\u7dda\u8b5c\u306e\u4e0a\u306e\u65b9\u306b\u884c\u304f\u307b\u3069\u3001\u97f3\u306f\u9ad8\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-3180\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/cdefgab-300x177.png\" alt=\"\" class=\"wp-image-3180\"\/><figcaption class=\"wp-element-caption\"><span style=\"font-size: 12pt;\">\u56f3 5 : \u4e94\u7dda\u8b5c\u4e0a\u306b\u304a\u3051\u308b \uff62 C\u30fbD\u30fbE\u30fbF\u30fbG\u30fbA\u30fbB\u30fbC \uff63 \u306e\u914d\u7f6e<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u6b21\u306b\u3001\u97f3\u968e\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u97f3\u968e\u3068\u306f\u3001\u8907\u6570\u306e\u97f3\u3092\u305d\u306e\u9ad8\u3055\u306b\u5fdc\u3058\u3066\u9806\u756a\u306b\u4e26\u3079\u305f\u3082\u306e\u3067\u3059\u3002\u97f3\u968e\u306b\u306f\u69d8\u3005\u306a\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u4e3b\u8981\u306a\u3082\u306e\u3068\u3057\u3066\u9577\u97f3\u968e ( \u30e1\u30b8\u30e3\u30fc\u30b9\u30b1\u30fc\u30eb : Major Scale ) \u3068\u77ed\u97f3\u968e ( \u30de\u30a4\u30ca\u30fc\u30b9\u30b1\u30fc\u30eb : Minor Scale ) \u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002Major Scale \u3068 Minor Scale \u306f 5 \u3064\u306e \uff62 \u5168\u97f3 \uff63 \u3068 2 \u3064\u306e \uff62 \u534a\u97f3 \uff63 \u304b\u3089\u306a\u308b\u5168 7 \u97f3\u306e\u97f3\u968e\u3067\u3001Major Scale \u3068 Minor Scale \u3092\u7dcf\u79f0\u3057\u3066\u5168\u97f3\u968e ( \u30c0\u30a4\u30a2\u30c8\u30cb\u30c3\u30af\u30b9\u30b1\u30fc\u30eb : Diatonic Scale ) \u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\u534a\u97f3\u3068\u306f\u3001\u56f3 4 \u306e\u9375\u76e4\u4e0a\u306e \uff62$\\ E \\ $\u3068$\\ F \\ $\uff63 \u3084 \uff62$\\ B \\ $\u3068$\\ C \\ $\uff63 \u3068\u3044\u3063\u305f\u3001\u9ed2\u9375\u3092\u631f\u307e\u306a\u3044\u97f3\u540c\u58eb\u306e\u97f3\u7a0b\u3092\u6307\u3057\u307e\u3059\u3002\u307e\u305f\u3001\uff62$\\ C \\ $\u3068$\\ C\\# \\ $\uff63 \u3084 \uff62$\\ C\\# \\ $\u3068$\\ D \\ $\uff63 \u3068\u3044\u3063\u305f\u3001\u96a3\u308a\u5408\u3063\u305f\u767d\u9375 \uff65 \u9ed2\u9375\u540c\u58eb\u306e\u97f3\u7a0b\u3082\u534a\u97f3\u3067\u3059\u3002\u3053\u306e\u534a\u97f3\u306f\u97f3\u7a0b\u306e\u6700\u5c0f\u5358\u4f4d\u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u5168\u97f3\u3068\u306f\u3001\u534a\u97f3\u306e 2 \u500d\u306e\u97f3\u7a0b\u306e\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u5f93\u3063\u3066\u3001\uff62$\\ C \\ $\u3068$\\ D \\ $\uff63 \u3084 \uff62$\\ E \\ $\u3068$\\ F\\# \\ $\uff63 \u3068\u3044\u3063\u305f\u3001\u534a\u97f3 2 \u3064\u5206\u306e\u97f3\u7a0b\u304c\u5168\u97f3\u3067\u3059\u3002<\/p>\n\n\n\n<p>Major Scale \u3068 Minor Scale \u306f\u3001\u305d\u308c\u305e\u308c \uff62 \u660e\u308b\u3044\u5370\u8c61 \uff63 \u306e\u97f3\u968e\u3068 \uff62 \u6697\u3044\u5370\u8c61 \uff63 \u306e\u97f3\u968e\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u56f3 4 \u306e\u9375\u76e4\u306b\u304a\u3044\u3066\u3001\u9ed2\u9375\u3092\u542b\u3081\u305a\u306b\u3001\u767d\u9375\u3092$\\ C \\ $\u304b\u3089\u4e26\u3079\u305f\u97f3\u968e \uff62$\\ C\\cdot D\\cdot E\\cdot F\\cdot G\\cdot A\\cdot B\\cdot C\\ $ \uff63 \u306f\u3001$\\ C \\ $\u304b\u3089\u59cb\u307e\u308b ($\\ C \\ $\u3092\u4e3b\u97f3\u3068\u3059\u308b ) Major Scale \u3068\u3044\u3046\u3053\u3068\u3067 C Major Scale \u3068\u547c\u3070\u308c\u307e\u3059 ( \u3053\u3053\u3067\u306f 1 \u30aa\u30af\u30bf\u30fc\u30d6\u4e0a\u306e$\\ C \\ $\u3092\u542b\u3081\u3066\u3044\u307e\u3059 )\u3002\u3053\u306e\u3068\u304d\u306e\u97f3\u7a0b\u306e\u5217\u306f\u3001\u56f3 4 \u306e\u9375\u76e4\u306e\u4e0b\u306b\u3042\u308b\u3088\u3046\u306b \uff62 \u5168\u97f3\uff65\u5168\u97f3\uff65\u534a\u97f3\uff65\u5168\u97f3\uff65\u5168\u97f3\uff65\u5168\u97f3\uff65\u534a\u97f3 \uff63 \u3068\u306a\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3001\u540c\u69d8\u306b\u767d\u9375\u306e\u307f\u3092\u4e26\u3079\u305f\u97f3\u968e\u3067\u3082\u3001$\\ A \\ $\u304b\u3089\u59cb\u307e\u308b\u97f3\u968e \uff62$\\ A \\cdot B \\cdot C \\cdot D \\cdot E \\cdot F \\cdot G \\cdot A\\ $\uff63 \u306f\u3001$\\ A \\ $\u3092\u4e3b\u97f3\u3068\u3059\u308b Minor Scale \u3068\u3044\u3046\u3053\u3068\u3067 A Minor Scale \u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u306e\u97f3\u7a0b\u306e\u5217\u306f\u3001\u4ee5\u4e0b\u306e\u56f3 6 \u306b\u793a\u3059\u3088\u3046\u306b \uff62 \u5168\u97f3\uff65\u534a\u97f3\uff65\u5168\u97f3\uff65\u5168\u97f3\uff65\u534a\u97f3\uff65\u5168\u97f3\uff65\u5168\u97f3 \uff63 \u3068\u306a\u3063\u3066\u304a\u308a\u3001Major Scale \u3068\u6bd4\u8f03\u3059\u308b\u3068\u5168\u97f3\u3068\u534a\u97f3\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u304c Major Scale \u3068 Minor Scale \u306e\u5370\u8c61\u306e\u9055\u3044\u306b\u7e4b\u304c\u308a\u307e\u3059\u3002[1]<\/p>\n\n\n<div class=\"wp-block-image wp-image-3181\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/03\/aminorscale-300x189.png\" alt=\"\" class=\"wp-image-3181\"\/><figcaption class=\"wp-element-caption\"><span style=\"font-size: 12pt;\">\u56f3 6 : A Minor Scale<\/span><\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u307e\u305f\u3001\u534a\u97f3\u968e ( \u30af\u30ed\u30de\u30c1\u30c3\u30af\u30b9\u30b1\u30fc\u30eb : Chromatic Scale ) \u3068\u547c\u3070\u308c\u308b\u97f3\u968e\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u534a\u97f3\u3092 12 \u500b ( 1 \u30aa\u30af\u30bf\u30fc\u30d6\u4e0a\u306e\u97f3\u3092\u542b\u3081\u305f\u3089 13 \u500b ) \u4e26\u3079\u305f\u97f3\u968e\u3067\u3059\u3002\u56f3 4 \u306e\u9375\u76e4\u4e0a\u3067$\\ C \\ $\u304b\u3089\u767d\u9375\u3068\u9ed2\u9375\u3092\u4e26\u3079\u305f\u97f3\u968e \uff62$ \\ C \\cdot C\\# \\cdot D \\cdot D\\# \\cdot E \\cdot F \\cdot F\\# \\cdot G \\cdot G\\# \\cdot A \\cdot A\\# \\cdot B \\cdot C \\ $\uff63 \u306f C Chromatic Scale \u3068\u547c\u3070\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u307e\u3067\u3001\uff62$ \\ C \\cdot D \\cdot E \\cdot F \\cdot G \\cdot A \\cdot B \\cdot C \\ $\uff63 ( C Major Scale ) \u3084 \uff62$ \\ A \\cdot B \\cdot C \\cdot D \\cdot E \\cdot F \\cdot G \\cdot A \\ $\uff63 ( A Minor Scale ) \u306e\u3088\u3046\u306b\u3001\u97f3\u968e\u3092\u69cb\u6210\u3059\u308b\u97f3\u540d\u3092\u4e26\u3079\u3066\u8868\u8a18\u3057\u3066\u304d\u307e\u3057\u305f\u304c\u3001\u3053\u306e\u3088\u3046\u306a 8 \u3064\u306e\u97f3\u306f \uff62$\\ 1 \u5ea6 \\cdot 2 \u5ea6 \\cdot 3\u5ea6 \\cdot 4\u5ea6 \\cdot 5\u5ea6 \\cdot 6\u5ea6 \\cdot 7\u5ea6 \\cdot 8\u5ea6 \\ $\uff63 \u306e\u3088\u3046\u306b \uff62 \u5ea6\u6570 \uff63 \u3068\u547c\u3070\u308c\u308b\u5358\u4f4d\u3067\u8868\u3055\u308c\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001C Major Scale \u306e \uff62$\\ C \\ $\uff63 \u306f 1 \u5ea6\u3001\uff62$\\ D \\ $\uff63 \u306f 2 \u5ea6\u3001\uff65\uff65\uff65\u30011 \u30aa\u30af\u30bf\u30fc\u30d6\u4e0a\u306e \uff62$\\ C \\ $\uff63 \u306f 8 \u5ea6\u306b\u306a\u308a\u3001A Minor Scale \u306e \uff62$\\ A \\ $ \uff63 \u306f 1 \u5ea6\u3001\uff62$\\ B \\ $\uff63 \u306f 2 \u5ea6\u3001\uff65\uff65\uff65\u30011 \u30aa\u30af\u30bf\u30fc\u30d6\u4e0a\u306e \uff62$\\ A \\ $\uff63 \u306f 8 \u5ea6\u306b\u306a\u308a\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>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u4f5c\u66f2\u306b\u4f7f\u304a\u3046\u3068\u3044\u3046\u30a2\u30a4\u30c7\u30a2\u304c\u9762\u767d\u3044\u3068\u611f\u3058\u307e\u3057\u305f\u3002\u52a0\u3048\u3066\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u5fdc\u7528\u3067\u304d\u308b\u9818\u57df\u3092\u5e83\u3052\u308b\u610f\u5473\u3067\u3082\u4fa1\u5024\u306e\u3042\u308b\u7814\u7a76\u3060\u3068\u601d\u3044\u307e\u3057\u305f\u3002\u307e\u305f\u3001\uff62 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u4f5c\u66f2 \uff63 \u3068\u3044\u3046\u7814\u7a76\u5206\u91ce\u304c\u3042\u308b\u3053\u3068\u3092\u521d\u3081\u3066\u77e5\u308a\u307e\u3057\u305f\u3002\u73fe\u5728\u306e\u4e3b\u6d41\u306f\u6a5f\u68b0\u5b66\u7fd2\u3092\u4f7f\u3063\u305f\u65b9\u6cd5\u3060\u305d\u3046\u306a\u306e\u3067\u3001\u3053\u308c\u306b\u95a2\u3057\u3066\u3082\u8abf\u3079\u3066\u307f\u305f\u3044\u3068\u601d\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u3001D-Wave \u30de\u30b7\u30f3\u3092\u4f7f\u3063\u3066\u5b9f\u969b\u306b\u30e1\u30ed\u30c7\u30a3\u3092\u751f\u6210\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u3069\u306e\u3088\u3046\u306a\u30e1\u30ed\u30c7\u30a3\u3092\u597d\u3080\u304b\u306f\u4eba\u306b\u3088\u3063\u3066\u7570\u306a\u308b\u305f\u3081\u3001\u751f\u6210\u3055\u308c\u305f\u697d\u66f2\u304c\u679c\u305f\u3057\u3066 \uff62 \u826f\u3044 \uff63 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class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83\"><\/span>\u53c2\u8003<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>[1] <a href=\"https:\/\/soundquest.jp\/quest\/prerequisite\/scale-2\/\">\u97f3\u968e\u306e\u4ed5\u7d44\u307f \u2776\u5168\u97f3\u3068\u534a\u97f3 &#8211; SoundQuest<\/a> \uff1a<a href=\"https:\/\/soundquest.jp\/quest\/prerequisite\/scale-2\/\">https:\/\/soundquest.jp\/quest\/prerequisite\/scale-2\/<\/a><\/p>\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 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