{"id":1136,"date":"2018-10-31T20:08:36","date_gmt":"2018-10-31T11:08:36","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=1136"},"modified":"2018-10-31T20:08:36","modified_gmt":"2018-10-31T11:08:36","slug":"pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/","title":{"rendered":"PyQUBO \u306b\u3088\u308b\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u5229\u6d3b\u7528\u306e\u52b9\u7387\u5316"},"content":{"rendered":"\n<p>\u4eca\u56de\u306f\u3001<a href=\"https:\/\/www.rco.recruit.co.jp\">\uff08\u682a\uff09\u30ea\u30af\u30eb\u30fc\u30c8\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u30ba<\/a>\u304c\u958b\u767a\u3057\u3001\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u306b\u3088\u308a\u516c\u958b\u3055\u308c\u305f\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u8a00\u8a9e PyQUBO (<a href=\"http:\/\/www.rco.recruit.co.jp\/pressrelease\/2018\/180925_RCOpress.pdf\">\u30d7\u30ec\u30b9\u30ea\u30ea\u30fc\u30b9<\/a>) \u3092\u7d39\u4ecb\u3059\u308b\u3002PyQUBO<br>\u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u5236\u7d04\u306a\u3057\u4e8c\u5024\u5909\u6570\u4e8c\u6b21\u8a08\u753b\u554f\u984c (QUBO)\u306e\u5f62\u306b\u5b9a\u5f0f\u5316\u3057\u305f\u5f8c\u3001<a href=\"http:\/\/dwavejapan.com\">D-Wave\u30de\u30b7\u30f3<\/a>\u3084<a href=\"http:\/\/www.fujitsu.com\/jp\/digitalannealer\/\">\u5bcc\u58eb\u901a\u30c7\u30b8\u30bf\u30eb\u30a2\u30cb\u30fc\u30e9<\/a>\u3068\u3044\u3063\u305f\u30a4\u30b8\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u8f09\u305b\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u554f\u984c\u30c7\u30fc\u30bf\u306e\u5909\u63db\u3092\u6975\u3081\u3066\u7c21\u7565\u5316\u3059\u308b\u305f\u3081\u306e\u30c4\u30fc\u30eb\u30bb\u30c3\u30c8\u3067\u3042\u308b\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u5229\u6d3b\u7528\u306b\u304a\u3051\u308b\u30df\u30c9\u30eb\u30a6\u30a7\u30a2\u958b\u767a\u4e8b\u4f8b\u3092\u4f53\u611f\u3057\u3066\u3044\u305f\u3060\u304f\u305f\u3081\u306b\u3001<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=43\">Karp\u306e21\u306e\u554f\u984c<\/a>\u306e\u4e00\u3064\u3067\u3042\u308b<a href=\"https:\/\/ja.wikipedia.org\/wiki\/\u6700\u5c0f\u9802\u70b9\u88ab\u8986\u554f\u984c\">\u6700\u5c0f\u9802\u70b9\u88ab\u8986\u554f\u984c<\/a>\u306e\u30bd\u30eb\u30d0\u30fc\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3092\u4f5c\u308b\u3068\u3044\u3046\u5177\u4f53\u4f8b\u3092\u901a\u3057\u3066\u3001\u5f93\u6765\u306e<a href=\"https:\/\/www.dwavesys.com\/software\">D-Wave SAPI<\/a>\u3092\u7528\u3044\u305f\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u30b9\u30bf\u30a4\u30eb\u3068PyQUBO\u3092\u7528\u3044\u305f\u305d\u308c\u3068\u3092\u6bd4\u8f03\u3059\u308b\u3002<\/p>\n\n\n\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\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#PyQUBO\" >PyQUBO<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#PyQUBO%E3%81%AE%E3%82%A4%E3%83%B3%E3%82%B9%E3%83%88%E3%83%BC%E3%83%AB%E6%96%B9%E6%B3%95\" >PyQUBO\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u65b9\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E3%82%B3%E3%83%BC%E3%83%89\" >\u672c\u8a18\u4e8b\u306e\u30b3\u30fc\u30c9<\/a><\/li><\/ul><\/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\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%AB%E3%82%88%E3%82%8B%E5%95%8F%E9%A1%8C%E8%A7%A3%E6%B1%BA\" >\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u3088\u308b\u554f\u984c\u89e3\u6c7a<\/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\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E5%95%8F%E9%A1%8C\" >\u9802\u70b9\u88ab\u8986\u554f\u984c<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E3%81%A8%E3%81%AF\" >\u9802\u70b9\u88ab\u8986\u3068\u306f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\" >\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u5b9a\u5f0f\u5316<\/a><\/li><\/ul><\/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\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#QUBO%E3%81%B8%E3%81%AE%E5%A4%89%E6%8F%9B\" >QUBO\u3078\u306e\u5909\u63db<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#PyQUBO%E3%82%92%E7%94%A8%E3%81%84%E3%81%9F%E5%A0%B4%E5%90%88\" >PyQUBO\u3092\u7528\u3044\u305f\u5834\u5408<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E5%BE%93%E6%9D%A5%E3%81%AE%E5%A0%B4%E5%90%88\" >\u5f93\u6765\u306e\u5834\u5408<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E6%AF%94%E8%BC%83%E3%83%BB%E8%A9%95%E4%BE%A1\" >\u6bd4\u8f03\u30fb\u8a55\u4fa1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%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-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E8%A3%9C%E8%B6%B3\" >\u88dc\u8db3<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%A7%E4%BD%BF%E7%94%A8%E3%81%97%E3%81%9F%E3%82%AF%E3%83%A9%E3%82%B9\" >\u672c\u8a18\u4e8b\u3067\u4f7f\u7528\u3057\u305f\u30af\u30e9\u30b9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#pickle%E3%81%AB%E3%82%88%E3%82%8B%E3%83%A2%E3%83%87%E3%83%AB%E3%81%AE%E4%BF%9D%E5%AD%98\" >pickle\u306b\u3088\u308b\u30e2\u30c7\u30eb\u306e\u4fdd\u5b58<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E6%AD%A3%E8%A6%8F%E5%8C%96\" >\u6b63\u898f\u5316<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#Sympy%E3%81%A8%E3%81%AE%E9%80%A3%E6%90%BA\" >Sympy\u3068\u306e\u9023\u643a<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%E5%8F%82%E8%80%83\" >\u53c2\u8003<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#T-Wave%E3%81%AEGithub\" >T-Wave\u306eGithub<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo%e3%82%92%e7%94%a8%e3%81%84%e3%81%a6%e9%a0%82%e7%82%b9%e8%a2%ab%e8%a6%86%e5%95%8f%e9%a1%8c%e3%82%92%e8%a7%a3%e3%81%8f\/#%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=\"PyQUBO\"><\/span>PyQUBO<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\uff08\u682a\uff09\u30ea\u30af\u30eb\u30fc\u30c8\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u30ba\u306f\u3001\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u8a00\u8a9e\u300ePyQUBO\u300f\u30922018\u5e749\u670825\u65e5\u306b\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9 (<a href=\"https:\/\/github.com\/recruit-communications\/pyqubo\">GitHub: recruit-communications\/pyqubo<\/a>)<br>\u3068\u3057\u3066\u516c\u958b\u3057\u305f\u3002\u5b9a\u5f0f\u5316\u3057\u305f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u89e3\u304f\u305f\u3081\u306b\u3001QUBO (Quadratic Unconstrained Binary Optimization: \u5236\u7d04\u306a\u3057\u4e8c\u5024\u5909\u6570\u4e8c\u6b21\u8a08\u753b\u554f\u984c) \u3084<a href=\"https:\/\/ja.wikipedia.org\/wiki\/%E3%82%A4%E3%82%B8%E3%83%B3%E3%82%B0%E6%A8%A1%E5%9E%8B\" rel=\"noopener\">\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb<\/a>\u3068\u3044\u3063\u305f\u5f62\u5f0f\u306b\u5909\u63db\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002PyQUBO\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u3053\u306e\u5909\u63db\u3092\u81ea\u52d5\u7684\u306b\u884c\u3046\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002<a href=\"https:\/\/ocean.dwavesys.com\/\">D-Wave Ocean SDK\u306e\u30db\u30fc\u30e0\u30da\u30fc\u30b8<\/a>\u306b\u3082\u3001\u30b5\u30fc\u30c9\u30d1\u30fc\u30c6\u30a3\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u3068\u3057\u3066\u63b2\u8f09\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/pyqubo.readthedocs.io\/en\/latest\/\">PyQUBO\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8<\/a>\u306b\u306f\u3001PyQUBO\u306e\u7279\u5fb4\u3068\u3057\u3066\u4ee5\u4e0b\u306e4\u3064\u304c\u6319\u3052\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Python\u304c\u30d9\u30fc\u30b9\u3068\u306a\u3063\u3066\u3044\u308b<\/li>\n\n\n\n<li>QUBO\u306e\u751f\u6210\u3092\u901f\u304f\u884c\u3048\u308b<\/li>\n\n\n\n<li>\u5236\u7d04\u306e\u81ea\u52d5\u30d0\u30ea\u30c7\u30fc\u30b7\u30e7\u30f3<\/li>\n\n\n\n<li>\u30d1\u30e9\u30e1\u30fc\u30bf\u30c1\u30e5\u30fc\u30cb\u30f3\u30b0\u306e\u305f\u3081\u306e\u30d7\u30ec\u30fc\u30b9\u30db\u30eb\u30c0\u30fc<\/li>\n<\/ul>\n\n\n\n<p>D-Wave Sysems\u304c\u63d0\u4f9b\u3057\u3066\u3044\u308bD-Wave Ocean SDK (<a href=\"https:\/\/github.com\/dwavesystems\/dwave-ocean-sdk\">GitHub:<br>dwavesystems\/dwave-ocean-sdk<\/a>)\u304cPython\u3067\u4f7f\u7528\u3067\u304d\u308b\u3088\u3046\u306b\u3001D-Wave\u30de\u30b7\u30f3\u3067\u306e\u958b\u767a\u306fPython\u3067\u884c\u306a\u3046\u5834\u5408\u304c\u591a\u304f\u3001PyQUBO\u3082\u305d\u306e\u540d\u306e\u901a\u308aPython\u3067\u5229\u7528\u53ef\u80fd\u3068\u306a\u3063\u3066\u3044\u308b\u3002\u305d\u306e\u4ed6\u306e\u7279\u5fb4\u306b\u3064\u3044\u3066\u306f\u3001\u3053\u306e\u5f8c\u8a73\u3057\u304f\u8ff0\u3079\u3066\u3044\u304f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"PyQUBO%E3%81%AE%E3%82%A4%E3%83%B3%E3%82%B9%E3%83%88%E3%83%BC%E3%83%AB%E6%96%B9%E6%B3%95\"><\/span>PyQUBO\u306e\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>PyQUBO\u304c\u30b5\u30dd\u30fc\u30c8\u3057\u3066\u3044\u308bPython\u306e\u30d0\u30fc\u30b8\u30e7\u30f3\u306f\u30012.7, 3.4, 3.5, 3.6, 3.7<br>\u3067\u3042\u308b\u3002PyQUBO\u3092\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u3059\u308b\u306b\u306f\u3001pip(Python\u306e\u30d1\u30c3\u30b1\u30fc\u30b8\u7ba1\u7406\u30b7\u30b9\u30c6\u30e0)\u3092\u7528\u3044\u308b\u304b\u3001PyQUBO\u306egit\u30ea\u30dd\u30b8\u30c8\u30ea\u304b\u3089\u30a4\u30f3\u30b9\u30c8\u30fc\u30e9\u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3059\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-bash\" data-lang=\"Bash\"><code># pip\u3092\u4f7f\u7528\u3059\u308b\u5834\u5408\n% pip install pyqubo\n\n# git\u30ea\u30dd\u30b8\u30c8\u30ea\u304b\u3089\u30a4\u30f3\u30b9\u30c8\u30fc\u30e9\u3092\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3059\u308b\n% git clone https:\/\/github.com\/recruit-communications\/pyqubo\n% python setup.py install<\/code><\/pre><\/div>\n\n\n\n<p>\u307e\u305f\u3001PyQUBO\u3001D-Wave Ocean SDK\u3068\u4f9d\u5b58\u6027\u306e\u3042\u308b\u30e9\u30a4\u30d6\u30e9\u30ea\u306f\u3001\u305d\u308c\u305e\u308c\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-plain\"><code># pyqubo==0.1.1\n# https:\/\/github.com\/recruit-communications\/pyqubo\/blob\/master\/setup.py\ndimod&gt;=0.7.4\nnumpy&gt;=1.14.0,&lt;2.0.0\nsix&gt;=1.10.0,&lt;2.0.0\ndwave-neal&gt;=0.4.2\n\n# dwave-ocean-sdk==1.0.3\n# https:\/\/github.com\/dwavesystems\/dwave-ocean-sdk\/blob\/master\/setup.py\ndwave-networkx&gt;=0.6.1,&lt;0.7.0\ndwave-system&gt;=0.5.0,&lt;0.6.0\ndwave-qbsolv&gt;=0.2.7,&lt;0.3.0\ndwave-neal&gt;=0.4.0,&lt;0.5.0<\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%AE%E3%82%B3%E3%83%BC%E3%83%89\"><\/span>\u672c\u8a18\u4e8b\u306e\u30b3\u30fc\u30c9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4ee5\u4e0b\u3067\u306f\u5b9f\u969b\u306e\u30b3\u30fc\u30c9\u3092\u4ea4\u3048\u3066\u3001PyQUBO\u306e\u4f7f\u3044\u65b9\u3068\u5f93\u6765\u306e\u5834\u5408\u3068\u306e\u9055\u3044\u3092\u8aac\u660e\u3059\u308b\u3002<br><a href=\"https:\/\/gist.github.com\/t-qard\/t-wave\">https:\/\/gist.github.com\/t-qard\/t-wave<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%82%A2%E3%83%8B%E3%83%BC%E3%83%AA%E3%83%B3%E3%82%B0%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%AB%E3%82%88%E3%82%8B%E5%95%8F%E9%A1%8C%E8%A7%A3%E6%B1%BA\"><\/span>\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u3088\u308b\u554f\u984c\u89e3\u6c7a<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30bd\u30eb\u30d0\u30fc\u304c\u9069\u7528\u3067\u304d\u308b\u7d44\u5408\u305b\u6700\u9069\u5316\u306b\u9650\u3089\u305a\u3001\u6570\u7406\u6700\u9069\u5316\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u624b\u9806\u3067\u884c\u308f\u308c\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-1156\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/howto_address.png\" alt=\"\u6700\u9069\u5316\u554f\u984c\u89e3\u6c7a\u306e\u6d41\u308c\" class=\"wp-image-1156\"\/><figcaption class=\"wp-element-caption\">\u6700\u9069\u5316\u554f\u984c\u89e3\u6c7a\u306e\u6d41\u308c<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u3088\u308b\u6700\u9069\u5316\u306e\u7279\u5fb4\u306f\u3001\u3053\u306e\u3046\u3061\u306e\u6700\u9069\u5316\u624b\u6cd5\u306b\u3042\u308b\u3002\u53e4\u5178\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308b\u6700\u9069\u5316\u3067\u306f\u3001\u554f\u984c\u306e\u6570\u7406\u30e2\u30c7\u30eb\u304c\u3069\u306e\u554f\u984c\u30af\u30e9\u30b9\u306b\u5c5e\u3059\u308b\u306e\u304b\u3092\u691c\u8a0e\u3057\u3001\u9069\u5207\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u9078\u629e\u3059\u308b\u3002\u3053\u308c\u307e\u3067\u8003\u6848\u3055\u308c\u3066\u304d\u305f\u69d8\u3005\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e2d\u304b\u3089\u554f\u984c\u306b\u9069\u3057\u305f\u3082\u306e\u3092\u63a2\u3059\u3001\u3042\u308b\u3044\u306f\u65b0\u305f\u306b\u958b\u767a\u3057\u3066\u3001\u53b3\u5bc6\u89e3\u3042\u308b\u3044\u306f\u826f\u3044\u6027\u8cea\u3092\u6301\u3064\u8fd1\u4f3c\u89e3\u3092\u5f97\u308b\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3001\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3067\u554f\u984c\u3092\u89e3\u304f\u306b\u306f\u3001\u5b9a\u5f0f\u5316\u3057\u305f\u554f\u984c\u3092QUBO\u307e\u305f\u306f\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u3068\u3044\u3046\u5f62\u5f0f\u306b\u5909\u63db\u3057\u3055\u3048\u3059\u308c\u3070\u3001\u3072\u3068\u307e\u305a\u306a\u3093\u3089\u304b\u306e\u8fd1\u4f3c\u89e3\u3092\u5f97\u308b\u3053\u3068\u306f\u53ef\u80fd\u3060\u3002\u305f\u3068\u3048\u3070\u3001D-Wave\u30de\u30b7\u30f3\u306e\u3088\u3046\u306a\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306f\u6975\u3081\u3066\u77ed\u6642\u9593\u306b\u591a\u6570\u306e\u8fd1\u4f3c\u89e3\u3092\u5f97\u3089\u308c\u308b\u3002\u3053\u306e\u4e2d\u304b\u3089\u6240\u671b\u306e\u76ee\u7684\u3092\u9054\u6210\u3059\u308b\u306b\u76f8\u5fdc\u3057\u3044\u89e3\u3092\u5f8c\u51e6\u7406\u306e\u5f62\u3067\u9078\u3073\u53d6\u308b\u3068\u3044\u3046\u306e\u304c\u57fa\u672c\u7684\u306a\u6226\u7565\u3060\u3002<\/p>\n\n\n\n<p>\u5358\u306a\u308b\u52d5\u4f5c\u901f\u5ea6\u3060\u3051\u3067\u306a\u304f\u3001\u7406\u8ad6\u7684\u6027\u80fd\u8a55\u4fa1\u306b\u88cf\u4ed8\u3051\u3089\u308c\u305f\u30bd\u30eb\u30d0\u30fc\u304c\u5b58\u5728\u3057\u306a\u3044\u554f\u984c\u306b\u5bfe\u3057\u3066\u3082\u7d20\u65e9\u3044\u958b\u767a\u3068\u305d\u306e\u5b9f\u8a3c\u5b9f\u9a13\u3092\u884c\u3046\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308b\u3068\u3044\u3046\u70b9\u3092\u307e\u305a\u3001\u610f\u8b58\u3057\u3066\u3044\u305f\u3060\u304d\u305f\u3044\u3002<\/p>\n\n\n<div class=\"wp-block-image wp-image-1157\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/howto_opt.png\" alt=\"\u4e00\u822c\u7684\u306a\u6700\u9069\u5316\u8a08\u7b97\u3068\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\" class=\"wp-image-1157\"\/><figcaption class=\"wp-element-caption\">\u4e00\u822c\u7684\u306a\u6700\u9069\u5316\u8a08\u7b97\u3068\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u3055\u3066\u3001\u3053\u306e\u8a18\u4e8b\u306e\u30c6\u30fc\u30de\u3067\u3042\u308bPyQUBO\u306e\u5229\u70b9\u3092\u8ff0\u3079\u308b\u305f\u3081\u306b\u3001QUBO(\u307e\u305f\u306f\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb)\u3078\u306e\u5909\u63db\u306b\u7740\u76ee\u3059\u308b\u3002\u4ee5\u4e0b\u306e\u56f3\u306f\u3001\u305d\u306e\u904e\u7a0b\u306e\u6982\u8981\u3067\u3042\u308b\u3002\u5b9f\u969b\u306b\u306f\u3001\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb\u306e\u8abf\u6574\u3084\u57cb\u3081\u8fbc\u307f\u306e\u898b\u76f4\u3057\u3001\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3068\u306e\u76f8\u88dc\u7684\u306a\u4f7f\u7528\u3092\u8003\u3048\u308b\u3068\u3044\u3063\u305f\u5de5\u7a0b\u3082\u5b58\u5728\u3059\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image size-full wp-image-1164\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/vspyqubo.png\" alt=\"\u5f93\u6765\u306e\u5834\u5408\u3068PyQUBO\u306e\u6bd4\u8f03\" class=\"wp-image-1164\"\/><figcaption class=\"wp-element-caption\">\u5f93\u6765\u306e\u5834\u5408\u3068PyQUBO\u306e\u6bd4\u8f03<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u5148\u307b\u3069\u8ff0\u3079\u305f\u3068\u304a\u308a\u3001PyQUBO\u306e\u7279\u5fb4\u306e\u4e00\u3064\u306b\u30d7\u30ec\u30fc\u30b9\u30db\u30eb\u30c0\u30fc\u304c\u3042\u308b\u3002QUBO\u306eU\u304c&#8221;\u5236\u7d04\u306a\u3057&#8221;\u3092\u610f\u5473\u3059\u308b\u3088\u3046\u306b\u3001\u5236\u7d04\u6761\u4ef6\u3092\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u306e\u672a\u5b9a\u4e57\u6570\u9805\u3068\u3057\u3066\u30b3\u30b9\u30c8\u95a2\u6570\u306b\u7d44\u307f\u8fbc\u3080\u3002\u305d\u306e\u969b\u306b\u5404\u5236\u7d04\u9805\u306e\u91cd\u307f\u3068\u306a\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8a2d\u5b9a\u3059\u308b\u3002\u30d7\u30ec\u30fc\u30b9\u30db\u30eb\u30c0\u30fc\u306f\u3001\u3053\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u4e00\u6642\u7684\u306b\u4fdd\u7ba1\u3059\u308b\u305f\u3081\u306e\u3082\u306e\u3067\u3042\u308b\u305f\u3081\u3001\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5404\u9805\u3092\u8a08\u7b97\u3057\u305f\u5f8c\u306b\u30d7\u30ec\u30fc\u30b9\u30db\u30eb\u30c0\u30fc\u306e\u5024\u3092\u5909\u3048\u308b\u3053\u3068\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u8abf\u6574\u304c\u7c21\u4fbf\u306b\u306a\u308b\u3002\u3053\u308c\u307e\u3067\u306f\u81ea\u5206\u3067\u5b9f\u88c5\u3057\u306a\u3044\u9650\u308a\u306f\u3001\u4f55\u5ea6\u3082\u5404\u9805\u306e\u8a08\u7b97\u3092\u884c\u306a\u3063\u3066\u3044\u305f\u3002\u3057\u304b\u3057\u3001\u554f\u984c\u306b\u3088\u3063\u3066\u306f\u305d\u306e\u8a08\u7b97\u91cf\u304c\u5927\u304d\u304f\u3001\u7e70\u308a\u8fd4\u3059\u3053\u3068\u304c\u56f0\u96e3\u3067\u3042\u308b\u5834\u5408\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u6b8b\u308a\u306e\u7279\u5fb4\u3068\u3057\u3066\u3001\u5f97\u3089\u308c\u305f\u7d50\u679c\u304c\u5236\u7d04\u6761\u4ef6\u3092\u6e80\u305f\u3059\u304b\u3069\u3046\u304b\u3092\u81ea\u52d5\u7684\u306b\u30c1\u30a7\u30c3\u30af\u3059\u308b\u30e1\u30bd\u30c3\u30c9\u304c\u5b58\u5728\u3059\u308b\u3002\u3053\u308c\u307e\u3067\u306f\u3001\u3053\u306e\u3088\u3046\u306a\u5224\u5b9a\u3092\u884c\u306a\u3046\u305f\u3081\u306b\u3001\u81ea\u3089\u30b3\u30fc\u30c9\u3092\u66f8\u304f\u5fc5\u8981\u304c\u3042\u3063\u305f\u3002PyQUBO\u3067\u306f\u3001\u89e3\u304c\u5236\u7d04\u3092\u6e80\u305f\u3059\u304b\u5426\u304b\u306e\u7c21\u5358\u306a\u5224\u5b9a\u3092\u3059\u3050\u306b\u884c\u3048\u308b\u3002\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u306f\u3001PyQUBO\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306b\u3042\u308b\u5236\u7d04\u306e\u81ea\u52d5\u30d0\u30ea\u30c7\u30fc\u30b7\u30e7\u30f3\u306e\u4f8b\u3067\u3042\u308b\u3002decode_solution\u30e1\u30bd\u30c3\u30c9\u306e\u623b\u308a\u5024\u3068\u3057\u3066\u3001Python\u306e\u8f9e\u66f8\u578b\u3067\u60c5\u5831\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>&gt;&gt;&gt; decoded_solution, broken, energy = model.decode_solution(raw_solution, vartype=&#39;BINARY&#39;)\n&gt;&gt;&gt; pprint(broken)\n{&#39;a+b=1&#39;: {&#39;penalty&#39;: 1.0, &#39;result&#39;: {&#39;a&#39;: 1, &#39;b&#39;: 1}}}<\/code><\/pre><\/div>\n\n\n\n<p>\u3082\u3061\u308d\u3093\u3001\u89e3\u306e\u5f8c\u51e6\u7406\u3001\u53ef\u8996\u5316\u3068\u3044\u3063\u305f\u90e8\u5206\u306f\u4eba\u304c\u884c\u306a\u3046\u5fc5\u8981\u304c\u3042\u308b\u3082\u306e\u306e\u3001\u5373\u5ea7\u306b\u5224\u5b9a\u3092\u884c\u3044\u305f\u3044\u5834\u9762\u304c\u5b9f\u969b\u306b\u306f\u3042\u308a\u3001\u975e\u5e38\u306b\u6709\u7528\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E5%95%8F%E9%A1%8C\"><\/span>\u9802\u70b9\u88ab\u8986\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E3%81%A8%E3%81%AF\"><\/span>\u9802\u70b9\u88ab\u8986\u3068\u306f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3042\u308b\u30b0\u30e9\u30d5 $G(V,E)$ \u3092\u8003\u3048\u308b\u3002$V$ \u306e\u90e8\u5206\u96c6\u5408$V&#8217;$\u304c $G$ \u306e\u8fba\u3092\u9802\u70b9\u88ab\u8986\u3059\u308b\u3068\u3044\u3046\u306e\u306f\u3001\u3059\u3079\u3066\u306e\u8fba\u306e\u3044\u305a\u308c\u304b\u306e\u7aef\u70b9\u304c<br>$V&#8217;$ \u306b\u542b\u307e\u308c\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u4ee5\u4e0b\u306b\u3001\u7c21\u5358\u306a\u4f8b\u3092\u793a\u3059\u3002\u3053\u3053\u3067\u306f\u5206\u304b\u308a\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u3001\u4e0a\u306e\u56f3\u306e\u3088\u3046\u306b$V&#8217;$\u306b\u5c5e\u3059\u308b\u9802\u70b9\u3092\u5f69\u8272\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image size-full wp-image-1159\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/vc_colored.png\" alt=\"\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u4f8b\" class=\"wp-image-1159\"\/><figcaption class=\"wp-element-caption\">\u9802\u70b9\u88ab\u8986\u306e\u4f8b<\/figcaption><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E9%A0%82%E7%82%B9%E8%A2%AB%E8%A6%86%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6700\u5c0f\u9802\u70b9\u88ab\u8986\u554f\u984c\u3067\u306f\u3001\u90e8\u5206\u96c6\u5408$V&#8217;$\u306e\u8981\u7d20\u6570\u304c\u6700\u5c0f\u3068\u306a\u308b\u3082\u306e\u3092\u6c42\u3081\u308b\u3092\u8003\u3048\u308b\u3002<br>\u5f69\u8272\u3059\u308b\u9802\u70b9\u6570($V&#8217;$\u306b\u5c5e\u3059\u308b\u9802\u70b9\u6570)\u3092\u6700\u5c0f\u5316\u3059\u308b\u305f\u3081\u3001\u3053\u308c\u304c\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u4e3b\u306a\u9805\u3068\u306a\u308b\u3002<\/p>\n\n\n\n$$\nH_\\mathrm{vertices} = \\sum_{v} x_v \\tag{1}\n$$\n\n\n\n<p>\u307e\u305f\u3001\u5404\u8fba\u306e\u3044\u305a\u308c\u304b\u306e\u7aef\u70b9\u306f\u5f69\u8272\u3055\u308c\u308b($V&#8217;$\u306b\u5c5e\u3059\u308b)\u3068\u3044\u3046\u5236\u7d04\u3092\u3001\u5236\u7d04\u9805\u3068\u3057\u3066\u52a0\u3048\u308b\u3002<\/p>\n\n\n\n$$\nH_\\mathrm{cover}\n=\n\\lambda_\\mathrm{cover} \\sum_{(u,v) \\in E} \\left( 1-x_{u} \\right) \\left( 1-x_{v} \\right)\n\\tag{2}\n$$\n\n\n\n<p>\u6700\u5c0f\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n$$\nH\n=\nH_\\mathrm{cover} + H_\\mathrm{vertices} \\tag{3}\n$$\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"QUBO%E3%81%B8%E3%81%AE%E5%A4%89%E6%8F%9B\"><\/span>QUBO\u3078\u306e\u5909\u63db<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u3067\u306f\u5b9f\u969b\u306b\u3001\u5148\u307b\u3069\u5b9a\u5f0f\u5316\u3057\u305f\u554f\u984c\u3092QUBO\u3078\u5909\u63db\u3092\u884c\u306a\u3063\u3066\u3044\u304f\u3002\u3053\u3053\u3067\u306f\u3001\u5148\u307b\u3069\u306e\u30b0\u30e9\u30d5\u3092\u5bfe\u8c61\u3068\u3057\u3066\u554f\u984c\u3092\u89e3\u304f\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code># \u554f\u984c\u8a2d\u5b9a\nNUM_VER = 6\nvertices = list(range(NUM_VER))\nedges = [(0,1), (0,4), (0,5), (1,2), (1,3), (3,4), (4,5)]<\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"PyQUBO%E3%82%92%E7%94%A8%E3%81%84%E3%81%9F%E5%A0%B4%E5%90%88\"><\/span>PyQUBO\u3092\u7528\u3044\u305f\u5834\u5408<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u3067\u306f\u3001PyQUBO\u306b\u3088\u3063\u3066QUBO\u3078\u306e\u5909\u63db\u3092\u884c\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>from pyqubo import Array, Constraint, Placeholder, solve_qubo\n\n# BINARY\u5909\u6570\nx = Array.create(&#39;x&#39;, shape=NUM_VER, vartype=&#39;BINARY&#39;)\n\n# QUBO\u5f62\u5f0f\u3067\u5b9a\u5f0f\u5316\nH_cover = Constraint(sum((1-x[u])*(1-x[v]) for (u,v) in edges), &quot;cover&quot;)\nH_vertices = sum(x)\nH = H_vertices + Placeholder(&quot;cover&quot;) * H_cover\n\n# \u30e2\u30c7\u30eb\u3092\u30b3\u30f3\u30d1\u30a4\u30eb\nmodel = H.compile()\n\n# \u30d7\u30ec\u30fc\u30b9\u30db\u30eb\u30c0\u30fc\u306b\u5177\u4f53\u7684\u306a\u6570\u5024\u3092\u5f53\u3066\u306f\u3081\u3066\u3001QUBO\u3092\u4f5c\u6210\nfeed_dict = {&quot;cover&quot;: 1.0}\nqubo, offset = model.to_qubo(feed_dict=feed_dict)<\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%BE%93%E6%9D%A5%E3%81%AE%E5%A0%B4%E5%90%88\"><\/span>\u5f93\u6765\u306e\u5834\u5408<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e00\u65b9\u3001\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u306f\u3053\u308c\u307e\u3067\u306e\u65b9\u6cd5\u3067\u3042\u308b\u3002(Python\u306b\u306f\u30ea\u30b9\u30c8\u5185\u5305\u8868\u8a18\u306a\u3069\u304c\u3042\u308b\u304c\u3001\u8aad\u307f\u3084\u3059\u3044\u30b3\u30fc\u30c9\u306b\u3057\u3066\u3044\u308b)<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code># \u4fc2\u6570\u884c\u5217\nh = [0] * NUM_VER\nJ = {}\nS = {}\n\n# \u5236\u7d04\u9805\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\nparam_cover = 1.0\n\nfor u in range(NUM_VER):\n    h[u] = -2*param_cover + 1\n    for v in range(u+1, NUM_VER):\n        if (u,v) in edges:\n            J[u,v] = param_cover<\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%AF%94%E8%BC%83%E3%83%BB%E8%A9%95%E4%BE%A1\"><\/span>\u6bd4\u8f03\u30fb\u8a55\u4fa1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e0a\u8a18\u306e\u30b3\u30fc\u30c9\u3092\u8e0f\u307e\u3048\u3066\u3001PyQUBO\u3068\u5f93\u6765\u306e\u65b9\u6cd5\u3092\u6bd4\u8f03\u30fb\u8a55\u4fa1\u3059\u308b\u3002\u307e\u305a\u30b3\u30fc\u30c9\u306e\u91cf\u306f\u554f\u984c\u306e\u30b3\u30b9\u30c8\u95a2\u6570\u306b\u4f9d\u5b58\u3059\u308b\u3002\u5c55\u958b\u3057\u305f\u5f0f\u304c\u9577\u304f\u306a\u308b\u306e\u3067\u3042\u308c\u3070\u3001PyQUBO\u3092\u7528\u3044\u305f\u65b9\u304c\u5c11\u306a\u3044\u30b3\u30fc\u30c9\u306e\u91cf\u3067\u6e08\u3080\u3060\u308d\u3046(\u305f\u3060\u3057\u3001\u3053\u308c\u306f\u30b3\u30fc\u30c9\u3092\u66f8\u304f\u4eba\u306e\u6280\u91cf\u306b\u3082\u5927\u304d\u304f\u4f9d\u5b58\u3059\u308b)\u3002<\/p>\n\n\n\n<p>\u30b3\u30fc\u30c9\u306e\u53ef\u8aad\u6027\u306b\u3064\u3044\u3066\u306f\u3001\u6570\u5f0f\u3092\u307b\u307c\u76f4\u63a5\u8868\u3057\u3066\u3044\u308b\u3068\u3044\u3046\u70b9\u3067PyQUBO\u306e\u65b9\u304c\u512a\u308c\u3066\u3044\u308b\u3068\u8a00\u3048\u308b\u3002\u305d\u306e\u53ef\u8aad\u6027\u304b\u3089\u3001\u5b9f\u88c5\u3059\u308b\u969b\u306b\u6570\u5024\u7684\u306a\u30df\u30b9\u3084\u30d0\u30b0\u304c\u5165\u308b\u53ef\u80fd\u6027\u3082\u6e1b\u3089\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n<div class=\"wp-block-image size-full wp-image-1166\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/costfunc_vs_code.png\" alt=\"\u30b3\u30b9\u30c8\u95a2\u6570\u3068PyQUBO\u306e\u5bfe\u5fdc\" class=\"wp-image-1166\"\/><figcaption class=\"wp-element-caption\">\u30b3\u30b9\u30c8\u95a2\u6570\u3068PyQUBO\u306e\u5bfe\u5fdc<\/figcaption><\/figure>\n<\/div>\n\n\n<p>\u305d\u3057\u3066\u3001\u79c1\u304cPyQUBO\u3092\u4f7f\u7528\u3057\u3066\u6700\u3082\u5927\u304d\u306a\u5dee\u7570\u3092\u611f\u3058\u305f\u306e\u306f\u3001\u305d\u308c\u305e\u308c\u6ce8\u76ee\u3059\u308b\u90e8\u5206\u304c\u7570\u306a\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u5f93\u6765\u306e\u65b9\u6cd5\u3067\u306f\u4fc2\u6570\u884c\u5217$h$, $J$,<br>$Q$\u306b\u3001PyQUBO\u3067\u306f\u30b3\u30b9\u30c8\u95a2\u6570\u5168\u4f53\u306b\u6ce8\u76ee\u3057\u3066\u3044\u308b\u3002QUBO\u3092\u4f5c\u6210\u3059\u308b\u30b3\u30fc\u30c9\u3092\u66f8\u304f\u306e\u306f\u73fe\u5728\u306e\u3068\u3053\u308d\u4eba\u9593\u3067\u3042\u308a\u3001\u305d\u306e\u4eba\u9593\u306e\u610f\u8b58\u304c\u3069\u3053\u306b\u5411\u304b\u3046\u304b\u306f\u91cd\u8981\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u304f\u4e2d\u3067\u3001\u4fc2\u6570\u884c\u5217\u3092\u53ef\u8996\u5316\u3057\u30b9\u30d1\u30fc\u30b9\u6027\u3084\u4fc2\u6570\u306e\u504f\u308a\u306a\u3069\u3092\u78ba\u8a8d\u3057\u3066\u3001\u554f\u984c\u306e\u7279\u5fb4\u3084\u65b9\u91dd\u3092\u8003\u3048\u308b\u5834\u9762\u304c\u3042\u308b\u3002\u5f93\u6765\u306e\u65b9\u6cd5\u3067\u306f\u305d\u308c\u304c\u81ea\u7136\u306b\u884c\u308f\u308c\u308b\u3002PyQUBO\u306b\u3088\u308b\u5b9f\u88c5\u306b\u304a\u3044\u3066\u3082\u3001\u5b9f\u88c5\u3055\u308c\u3066\u3044\u308b\u30e1\u30bd\u30c3\u30c9\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u4fc2\u6570\u884c\u5217\u3092\u53d6\u5f97\u3059\u308b\u3053\u3068\u306f\u5bb9\u6613\u3067\u3042\u308a\u3001\u4fc2\u6570\u884c\u5217\u3092\u7a4d\u6975\u7684\u306b\u78ba\u8a8d\u3059\u308b\u3079\u304d\u3067\u3042\u308b\u3002\u307e\u305f\u3001PyQUBO\u304c\u6709\u7528\u3060\u304b\u3089\u3068\u3044\u3063\u3066\u305d\u308c\u3060\u3051\u3067\u3088\u3044\u3068\u79c1\u306f\u601d\u3063\u3066\u3044\u306a\u3044\u3002\u306a\u305c\u306a\u3089\u3001\u3053\u308c\u307e\u3067\u306e\u3088\u3046\u306b\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u5909\u5f62\u3059\u308b\u4e2d\u3067\u5b66\u3079\u308b\u3053\u3068\u304c\u5e7e\u5206\u3042\u308b\u304b\u3089\u3060\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>PyQUBO\u306b\u306f\u3001SA(Simulated Annealing)\u304c\u5b9f\u88c5\u3055\u308c\u3066\u304a\u308a\u3001PyQUBO\u3060\u3051\u3067\u3082\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002D-Wave\u30de\u30b7\u30f3\u306b\u554f\u984c\u3092\u6295\u3052\u308b\u524d\u306b\u3001\u5c0f\u3055\u306a\u554f\u984c\u306b\u5bfe\u3057\u3066SA\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u30b3\u30b9\u30c8\u95a2\u6570\u5b9a\u5f0f\u5316\u3084\u5b9f\u88c5\u306a\u3069\u304c\u6b63\u3057\u3044\u304b\u3092\u5bb9\u6613\u306b\u78ba\u304b\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u4ee5\u4e0b\u3001PyQUBO\u306eSA\u3092\u4f7f\u7528\u3057\u305f\u30b3\u30fc\u30c9\u3092\u793a\u3059\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code># SA\u3067\u89e3\u3092\u63a2\u7d22\u3059\u308b\nraw_solution = solve_qubo(qubo)\n\n# \u5f97\u3089\u308c\u305f\u7d50\u679c\u3092\u30c7\u30b3\u30fc\u30c9\u3059\u308b\ndecoded_solution, broken, energy = model.decode_solution(raw_solution, vartype=&quot;BINARY&quot;, feed_dict=feed_dict)<\/code><\/pre><\/div>\n\n\n\n<p>\u3053\u308c\u306b\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e\u89e3\u304c\u5f97\u3089\u308c\u305f\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>&gt;&gt;&gt; pprint(decoded_solution)\n{&#39;x&#39;: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0}}<\/code><\/pre><\/div>\n\n\n\n<p>\u307e\u305f\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u306f\u3001PyQUBO\u3067\u4f5c\u6210\u3057\u305fQUBO\u3092D-Wave Ocean SDK\u3092\u7528\u3044\u3066\u89e3\u304f\u305f\u3081\u306e\u4e00\u4f8b\u3067\u3042\u308b\u3002PyQUBO\u3067\u4f5c\u6210\u3057\u305fQUBO\u3092\u305d\u306e\u307e\u307eD-Wave Ocean<br>SDK\u306esample_qubo()\u3084sample_ising()\u306b\u6e21\u3059\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>from dwave.system.samplers import DWaveSampler\nfrom dwave.system.composites import EmbeddingComposite\n\nsampler = EmbeddingComposite(DWaveSampler(endpoint=endpoint, token=token, solver=solver_name))\nresponse = sampler.sample_qubo(qubo)<\/code><\/pre><\/div>\n\n\n\n<p>\u3053\u308c\u306b\u3088\u3063\u3066\u3001\u4ee5\u4e0b\u306e\u89e3\u304c\u5f97\u3089\u308c\u305f\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>&gt;&gt;&gt; pprint(response.sample_matrix)\narray([[1, 1, 1, 1, 0, 1, 0]], dtype=int8)<\/code><\/pre><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A3%9C%E8%B6%B3\"><\/span>\u88dc\u8db3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%AC%E8%A8%98%E4%BA%8B%E3%81%A7%E4%BD%BF%E7%94%A8%E3%81%97%E3%81%9F%E3%82%AF%E3%83%A9%E3%82%B9\"><\/span>\u672c\u8a18\u4e8b\u3067\u4f7f\u7528\u3057\u305f\u30af\u30e9\u30b9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3053\u306e\u8a18\u4e8b\u306e\u4e2d\u3067\u7d39\u4ecb\u3057\u305f\u30b3\u30fc\u30c9\u3067\u4f7f\u7528\u3057\u305f\u30af\u30e9\u30b9\u3084\u95a2\u6570\u3092\u307e\u3068\u3081\u305f\u3002\u3053\u3053\u3067\u306f\u3001\u7d39\u4ecb\u3057\u304d\u308c\u306a\u3044\u307b\u3069\u6709\u7528\u306a\u30af\u30e9\u30b9\u3001\u30e1\u30bd\u30c3\u30c9\u304c\u7528\u610f\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u8a73\u7d30\u306f<a href=\"https:\/\/pyqubo.readthedocs.io\/en\/latest\/\">PyQUBO\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8<\/a>\u3092\u78ba\u8a8d\u3057\u3066\u307b\u3057\u3044\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u30af\u30e9\u30b9\u3001\u30e1\u30bd\u30c3\u30c9\u540d<\/th><th>\u6982\u8981<\/th><\/tr><\/thead><tbody><tr><td>Array<\/td><td>\u30d0\u30a4\u30ca\u30ea\u5909\u6570\u3001\u30a4\u30b8\u30f3\u30b0\u5909\u6570\u306e\u591a\u6b21\u5143\u914d\u5217\u3002\u30d0\u30fc\u30b8\u30e7\u30f30.1.0\u3088\u308aVector,Matrix\u306e\u4ee3\u308f\u308a\u3068\u306a\u3063\u305f\u3002<\/td><\/tr><tr><td>Array.create()<\/td><td>\u30d0\u30a4\u30ca\u30ea\u5909\u6570\u3001\u30a4\u30b8\u30f3\u30b0\u5909\u6570\u3092\u3068\u3082\u306b\u9078\u629e\u3067\u304d\u3001\u6b21\u5143\u6570\u3092\u6307\u5b9a\u3067\u304d\u308b\u3002numpy.array\u3092\u6e21\u3059\u3053\u3068\u3082\u53ef\u80fd\u3002\u901a\u5e38\u306e\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u304f\u969b\u306b\u983b\u7e41\u306b\u4f7f\u7528\u3059\u308b\u3067\u3042\u308d\u3046\u30e1\u30bd\u30c3\u30c9\u3002<\/td><\/tr><tr><td>Constraint<\/td><td>\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5236\u7d04\u9805\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u30af\u30e9\u30b9\u3002\u3053\u308c\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u89e3\u306e\u30c7\u30b3\u30fc\u30c9\u6642\u306b\u5236\u7d04\u6761\u4ef6\u306e\u30c1\u30a7\u30c3\u30af\u304c\u53ef\u80fd\u3002<\/td><\/tr><tr><td>Express.compile()<\/td><td>\u8a18\u8ff0\u3057\u305f\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u30e2\u30c7\u30eb\u306b\u30b3\u30f3\u30d1\u30a4\u30eb\u3059\u308b\u305f\u3081\u306e\u30e1\u30bd\u30c3\u30c9\u3002<\/td><\/tr><tr><td>Model.to_qubo()<\/td><td>\u30e2\u30c7\u30eb\u3092QUBO\u306b\u5909\u63db\u3059\u308b\u305f\u3081\u306e\u30e1\u30bd\u30c3\u30c9\u3002\u3042\u3089\u304b\u3058\u3081\u8a2d\u5b9a\u3057\u305fPlaceholder\u3092dict\u5f62\u5f0f\u3067\u6e21\u3059\u3002<\/td><\/tr><tr><td>Model.decode_solution()<\/td><td>\u5f97\u3089\u308c\u305f\u89e3\u3092\u30c7\u30b3\u30fc\u30c9\u3059\u308b\u305f\u3081\u306e\u30e1\u30bd\u30c3\u30c9\u3002\u30c7\u30b3\u30fc\u30c9\u3057\u305f\u89e3\u306b\u52a0\u3048\u3066\u3001\u5236\u7d04\u3092\u30c1\u30a7\u30c3\u30af\u3057\u305f\u7d50\u679c\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u5024\u304c\u8fd4\u3055\u308c\u308b\u3002<\/td><\/tr><tr><td>Placeholder<\/td><td>\u30b3\u30b9\u30c8\u95a2\u6570\u306e\u5404\u9805\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u30af\u30e9\u30b9\u3002\u3053\u308c\u306b\u3088\u3063\u3066\u3001\u4f55\u5ea6\u3082\u30b3\u30f3\u30d1\u30a4\u30eb\u3059\u308b\u5fc5\u8981\u304c\u306a\u304f\u306a\u308a\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u8abf\u6574\u304c\u52b9\u7387\u7684\u306b\u306a\u308b\u3002<\/td><\/tr><tr><td>solve_qubo()<\/td><td>SA\u3067QUBO\u3092\u89e3\u304f\u305f\u3081\u306e\u95a2\u6570\u3002\u540c\u69d8\u306b\u3001\u30a4\u30b8\u30f3\u30b0\u30e2\u30c7\u30eb\u3092SA\u3067\u89e3\u304f\u305f\u3081\u306e\u95a2\u6570solve_ising()\u3082\u7528\u610f\u3055\u308c\u3066\u3044\u308b\u3002<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pickle%E3%81%AB%E3%82%88%E3%82%8B%E3%83%A2%E3%83%87%E3%83%AB%E3%81%AE%E4%BF%9D%E5%AD%98\"><\/span>pickle\u306b\u3088\u308b\u30e2\u30c7\u30eb\u306e\u4fdd\u5b58<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3053\u3053\u3067\u306f\u3001\u4f5c\u6210\u3057\u305fQUBO\u30c7\u30fc\u30bf\u306e\u4fdd\u5b58\u65b9\u6cd5\u306e\u4e00\u4f8b\u3092\u7d39\u4ecb\u3059\u308b\u3002\u5f93\u6765\u306e\u65b9\u6cd5\u3067\u306f\u3001h,J,Q\u3068\u3044\u3063\u305f\u4fc2\u6570\u884c\u5217\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u4e3b\u306a\u524d\u5de5\u7a0b\u3067\u3042\u308a\u3001\u305d\u308c\u3089\u306e\u30c7\u30fc\u30bf\u306fcsv\u5f62\u5f0f\u306a\u3069\u3067\u30d5\u30a1\u30a4\u30eb\u306b\u4fdd\u5b58\u3057\u3001\u4fdd\u7ba1\u30fb\u5171\u6709\u3092\u884c\u306a\u3046\u3002\u4e00\u65b9\u3067\u3001PyQUBO\u306e\u5834\u5408\u3001Python\u306e\u6a19\u6e96\u30e9\u30a4\u30d6\u30e9\u30ea<a href=\"https:\/\/docs.python.org\/ja\/3\/library\/pickle.html\">pickle<\/a>\u3092\u7528\u3044\u3066\u3001Python\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u306e\u76f4\u5217\u5316\u304c\u3067\u304d\u308b\u3002\u3064\u307e\u308a\u3001\u4f5c\u6210\u3057\u305f\u5404\u9805\u3084\u30b3\u30b9\u30c8\u95a2\u6570\u5168\u4f53\u306e\u30c7\u30fc\u30bf\u3092\u30d0\u30a4\u30c8\u30b9\u30c8\u30ea\u30fc\u30e0\u3068\u3057\u3066\u3001\u30d5\u30a1\u30a4\u30eb\u306e\u5165\u51fa\u529b\u304c\u53ef\u80fd\u3068\u306a\u308b\u3002\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u306f\u3001\u305d\u306e\u4e00\u4f8b\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code># \u30e2\u30c7\u30eb\u3092\u30b3\u30f3\u30d1\u30a4\u30eb\nmodel = H.compile()\n\n# \u30e2\u30c7\u30eb\u3092pickle\u3067\u4fdd\u5b58\nwith open(&#39;model.pickle&#39;, &#39;wb&#39;) as f:\n    pickle.dump(model, f)\n\n# pickle\u3067\u4fdd\u5b58\u3057\u305f\u30e2\u30c7\u30eb\u3092\u8aad\u307f\u8fbc\u3080\nwith open(&#39;model.pickle&#39;, &#39;rb&#39;) as f:\n    loaded_model = pickle.load(f)<\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%AD%A3%E8%A6%8F%E5%8C%96\"><\/span>\u6b63\u898f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u81ea\u5206\u304c\u78ba\u8a8d\u3057\u305f\u7bc4\u56f2\u3067\u306f\u3001PyQUBO\u306b\u306f\u4fc2\u6570\u884c\u5217\u3092\u6b63\u898f\u5316\u3059\u308b\u3088\u3046\u306a\u30e1\u30bd\u30c3\u30c9\u3001\u95a2\u6570\u304c\u5b58\u5728\u3057\u306a\u3044\u3002\u3057\u304b\u3057\u3001\u7d44\u307f\u5408\u308f\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u4e2d\u306b\u306f\u3001\u5404\u9805\u3067\u30aa\u30fc\u30c0\u30fc\u304c\u5927\u304d\u304f\u7570\u306a\u308b\u5834\u5408\u304c\u5c11\u306a\u304f\u306a\u3044\u3002\u4f8b\u3048\u3070\u3001\u30ed\u30b8\u30b9\u30c6\u30a3\u30c3\u30af\u306b\u304a\u3051\u308b\u5de1\u56de\u30bb\u30fc\u30eb\u30b9\u30de\u30f3\u554f\u984c\u3067\u306f\u904b\u9001\u30b3\u30b9\u30c8\u304c\u5927\u304d\u306a\u5024\u3092\u3068\u308b\u5834\u5408\u304c\u3042\u308a\u3001\u6b63\u898f\u5316\u3059\u308b\u3053\u3068\u3067\u4ed6\u306e\u5236\u7d04\u9805\u304c\u4f5c\u7528\u3059\u308b\u3088\u3046\u306b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u306f\u3001\u5404\u9805\u3092\u6b63\u898f\u5316\u3059\u308b\u305f\u3081\u306e\u95a2\u6570\u306e\u4e00\u4f8b\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>import numpy as np\n\n# \u5404\u9805\u3092\u6b63\u898f\u5316\u3059\u308b\u95a2\u6570\ndef normalize(exp, var_type=&#39;SPIN&#39;):\n    if var_type != &#39;SPIN&#39; and var_type != &#39;BINARY&#39;:  # \u5909\u6570\u306e\u30bf\u30a4\u30d7\u304c\u30a4\u30b8\u30f3\u30b0\u30fbQUBO\u8868\u73fe\u3067\u306a\u3044\u5834\u5408\u3001\u7d42\u4e86\n        raise ValueError(&quot;var_type must be &#39;SPIN&#39; or &#39;BINARY&#39;.&quot;)\n \n    model = exp.compile()\n    if var_type == &#39;SPIN&#39;:\n        compiled_h, compiled_J, offset = model.to_ising()\n        norm = max(np.max(np.abs(list(compiled_h.values()))),\n                   np.max(np.abs(list(compiled_J.values()))))\n\n    else:\n        compiled_qubo, offset = model.to_qubo()\n        norm = np.max(np.abs(list(compiled_qubo.values())))\n\n    # \u7d76\u5bfe\u5024\u304c\u6700\u5927\u306e\u4fc2\u6570\u3067\u5404\u6210\u5206\u3092\u5272\u308b\u3053\u3068\u3067\u3001[0,1]\u306b\u6b63\u898f\u5316\n    return exp \/ norm<\/code><\/pre><\/div>\n\n\n\n<p>\u7d76\u5bfe\u5024\u304c\u6700\u5927\u306e\u4fc2\u6570\u3092\u53d6\u5f97\u3059\u308b\u305f\u3081\u306b\u3001\u5165\u529b\u3055\u308c\u305fExpress\u30aa\u30d6\u30b8\u30a7\u30af\u30c8\u3092\u30b3\u30f3\u30d1\u30a4\u30eb\u3057\u3066\u3044\u308b\u304c\u3001\u4ed6\u306e\u6c42\u3081\u65b9\u304c\u3042\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3002\u307e\u305f\u3001normalize\u95a2\u6570\u306e\u4f7f\u7528\u4f8b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308b\u3002\u4e0a\u3067\u8ff0\u3079\u305f\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u5236\u7d04\u9805\u3092\u6b63\u898f\u5316\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code># normalize\u95a2\u6570\u306e\u4f7f\u7528\u4f8b(\u5206\u304b\u308a\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u3001\u5909\u6570\u3067\u5206\u3051\u3066\u3044\u308b)\nexp = sum((1-x[u])*(1-x[v]) for (u,v) in edges)\nnormalized_exp = normalize(exp)\nH_cover = Constraint(normalized_exp, &quot;cover&quot;)<\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sympy%E3%81%A8%E3%81%AE%E9%80%A3%E6%90%BA\"><\/span>Sympy\u3068\u306e\u9023\u643a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u767a\u8868\u30b9\u30e9\u30a4\u30c9\u3084Jupter<br>Notebook\u306b\u66f8\u304f\u3068\u304d\u306b\u3001\u5c11\u3005\u9762\u5012\u306b\u611f\u3058\u308b\u3068\u304d\u304c\u3042\u308b\u3002\u305d\u3053\u3067\u3001\u8a18\u53f7\u8a08\u7b97\u3092\u884c\u3046Python\u306e\u30e9\u30a4\u30d6\u30e9\u30eaSympy\u3092\u7528\u3044\u3066\u8868\u793a\u3057\u305f\u30b3\u30b9\u30c8\u95a2\u6570\u3092\u3001PyQUBO\u3067\u5229\u7528\u53ef\u80fd\u306a\u5f0f\u306b\u5909\u63db\u3067\u304d\u306a\u3044\u304b\u8003\u3048\u305f\u3002\u7c21\u5358\u306a\u4f8b\u3067\u306f\u3042\u308b\u304c\u3001n\u500b\u306eQUBO\u5909\u6570$x_i$\u306e\u3046\u30611\u500b\u306e\u307f1\u3092\u3068\u308b\u5834\u5408\u306b\u5024\u304c\u6700\u5c0f\u3068\u306a\u308b\u3001one-hot<br>encoding\u3092\u7d39\u4ecb\u3059\u308b\u3002<\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>from sympy import Symbol, Sum\ninit_printing()\nimport pyqubo\nimport re\n\n# Sympy\u306e\u6570\u5f0f\u3092PyQUBO\u7528\u306e\u6587\u5b57\u5217\u306b\u5909\u63db\u3059\u308b\ndef sympy2pyqubo(exp_sympy):\n    str_sympy = exp_sympy\n    # Sum -&gt; sum\n    str_sympy = str_sympy.replace(&#39;S&#39;, &#39;s&#39;)\n    # \u7dcf\u548c\u306e\u7bc4\u56f2(*,*,*)\u3092for\u6587\u306b\u7f6e\u304d\u63db\u3048\u308b\n    str_sympy = \\\n    re.sub(&#39;,\\s*[^sum]\\(\\s*(.+)\\s*,\\s*(.+)\\s*,\\s*(.+)\\s*\\)\\)&#39;, \\\n        &#39; for \\\\1 in range(\\\\2, \\\\3))&#39;, str_sympy)\n    # \u5909\u6570\u3092\u30ea\u30b9\u30c8\u306b\u7f6e\u304d\u63db\u3048\u308b\n    str_sympy = \\\n    re.sub(&#39;(.+?)_(.+?)&#39;, &#39;\\\\1[\\\\2]&#39;, str_sympy)\n\n    return str_sympy\n\n# \u5909\u6570\nx = Symbol(&#39;x_i&#39;)\ni = Symbol(&#39;i&#39;)\nn = Symbol(&#39;n&#39;)\n\n# Sympy\u3067\u6570\u5f0f\u3092\u5b9a\u7fa9\nH = (Sum(x, (i, 1, n)) -1)**2\nstr_H = str(H)\nprint(str_H) # &gt;&gt;&gt;(Sum(x_i, (i, 1, n)) - 1)**2\n\nn = 10\nx = pyqubo.Array.create(&quot;x_i&quot;, shape=n, vartype=&#39;SPIN&#39;)\n\nH = eval(sympy2pyqubo(str_H))\nprint(H) # &gt;&gt;&gt;((Spin(x_i[1])+Spin(x_i[2])+Spin(x_i[3]...<\/code><\/pre><\/div>\n\n\n\n<p>\u4e0a\u8a18\u306e\u30b3\u30fc\u30c9\u3067\u306f\u3001Sympy\u306e\u5f0f\u3092\u6587\u5b57\u5217\u306b\u5909\u63db\u3057\u3001\u7dcf\u548c\u306e\u7bc4\u56f2\u3092\u8868\u3059\u8a18\u8ff0\u3092PyQUBO\u306e\u305f\u3081\u306b\u66f8\u304d\u63db\u3048\u308b\u3002\u305d\u306e\u5f8c\u3001eval()\u95a2\u6570\u3067PyQUBO\u3068\u3057\u3066\u8a55\u4fa1\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u9802\u70b9\u88ab\u8986\u554f\u984c\u3092\u901a\u3057\u3066\u3001QUBO\u306e\u4f5c\u6210\u306b\u304a\u3051\u308b\u5f93\u6765\u306e\u65b9\u6cd5\u3068PyQUBO\u306e\u6bd4\u8f03\u3092\u884c\u306a\u3063\u305f\u3002PyQUBO\u306f\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3092\u7d44\u307f\u5408\u308f\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u30bd\u30eb\u30d0\u30fc\u3068\u3057\u3066\u5229\u7528\u3059\u308b\u4e0a\u3067\u3001\u958b\u767a\u30fb\u5b9f\u9a13\u306e\u52b9\u7387\u5316\u3092\u9032\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u3068\u3057\u3066\u516c\u958b\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u591a\u304f\u306e\u958b\u767a\u8005\u3084\u7814\u7a76\u8005\u304cPyQUBO\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3092\u52e7\u3081\u308b\u3002\u307e\u305f\u3001\u8ad6\u7406\u30b2\u30fc\u30c8\u306a\u3069\u3053\u306e\u8a18\u4e8b\u3067\u306f\u7d39\u4ecb\u3057\u3066\u3044\u306a\u3044\u6a5f\u80fd\u3082\u3042\u308a\u3001\u4eca\u5f8c\u3082\u5229\u7528\u3092\u7d9a\u3051\u3066\u3044\u3053\u3046\u3068\u601d\u3046\u3002<\/p>\n\n\n\n<h3 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><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www.rco.recruit.co.jp\/pressrelease\/2018\/180925_RCOpress.pdf\">\u30ea\u30af\u30eb\u30fc\u30c8\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u30ba \u30d7\u30ec\u30b9\u30ea\u30ea\u30fc\u30b9<br>(2018\u5e749\u670825\u65e5)<\/a><\/li>\n\n\n\n<li>\u300e\u4eca\u65e5\u304b\u3089\u4f7f\u3048\u308b!\u7d44\u5408\u305b\u6700\u9069\u5316 \u96e2\u6563\u554f\u984c\u30ac\u30a4\u30c9\u30d6\u30c3\u30af\u300f \u7a74\u4e95\u5b8f\u548c\u3001\u6589\u85e4\u52aa\u8457<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"T-Wave%E3%81%AEGithub\"><\/span>T-Wave\u306eGithub<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u672c\u8a18\u4e8b\u304a\u3088\u3073<a href=\"\/T-Wave\/\">T-Wave<\/a>\u3067\u63b2\u8f09\u3057\u3066\u3044\u308b\u30b3\u30fc\u30c9\u306f\u3001\u4ee5\u4e0b\u306eGithub\u30ea\u30dd\u30b8\u30c8\u30ea\u306b\u3066\u516c\u958b\u3057\u3066\u3044\u308b\u3002D-Wave\u30de\u30b7\u30f3\u3092\u5229\u7528\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u9806\u6b21\u516c\u958b\u3057\u3066\u3044\u308b\u306e\u3067\u3001\u305c\u3072\u78ba\u8a8d\u3057\u3066\u3044\u305f\u3060\u304d\u305f\u3044\u3002<\/p>\n\n\n\n<p>Github: <a href=\"https:\/\/github.com\/t-qard\/t-wave\">https:\/\/github.com\/t-qard\/t-wave<\/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>\u4e38\u5c71\u5c1a\u8cb4<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4eca\u56de\u306f\u3001\uff08\u682a\uff09\u30ea\u30af\u30eb\u30fc\u30c8\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u30ba\u304c\u958b\u767a\u3057\u3001\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u306b\u3088\u308a\u516c\u958b\u3055\u308c\u305f\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u8a00\u8a9e PyQUBO (\u30d7\u30ec\u30b9\u30ea\u30ea\u30fc\u30b9) \u3092\u7d39\u4ecb\u3059\u308b\u3002PyQUBO\u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u5236\u7d04\u306a\u3057\u4e8c\u5024\u5909\u6570\u4e8c\u6b21\u8a08\u753b\u554f\u984c (QUB [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[21,30,112,130],"class_list":["post-1136","post","type-post","status-publish","format-standard","hentry","category-hands-on","tag-karp21np","tag-pyqubo","tag-112","tag-130"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>PyQUBO \u306b\u3088\u308b\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u5229\u6d3b\u7528\u306e\u52b9\u7387\u5316 - T-QARD Harbor<\/title>\n<meta name=\"description\" content=\"\u4eca\u56de\u306f\u3001\uff08\u682a\uff09\u30ea\u30af\u30eb\u30fc\u30c8\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u30ba\u304c\u958b\u767a\u3057\u3001\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u306b\u3088\u308a\u516c\u958b\u3055\u308c\u305f\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u8a00\u8a9e PyQUBO (\u30d7\u30ec\u30b9\u30ea\u30ea\u30fc\u30b9) \u3092\u7d39\u4ecb\u3059\u308b\u3002PyQUBO \u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u5236\u7d04\u306a\u3057\u4e8c\u5024\u5909\u6570\u4e8c\u6b21\u8a08\u753b\u554f\u984c (QUBO)\u306e\u5f62\u306b\u5b9a\u5f0f\u5316\u3057\u305f\u5f8c\u3001D-Wave\u30de\u30b7\u30f3\u3084\u5bcc\u58eb\u901a\u30c7\u30b8\u30bf\u30eb\u30a2\u30cb\u30fc\u30e9\u3068\u3044\u3063\u305f\u30a4\u30b8\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u8f09\u305b\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u554f\u984c\u30c7\u30fc\u30bf\u306e\u5909\u63db\u3092\u6975\u3081\u3066\u7c21\u7565\u5316\u3059\u308b\u305f\u3081\u306e\u30c4\u30fc\u30eb\u30bb\u30c3\u30c8\u3067\u3042\u308b\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u5229\u6d3b\u7528\u306b\u304a\u3051\u308b\u30df\u30c9\u30eb\u30a6\u30a7\u30a2\u958b\u767a\u4e8b\u4f8b\u3092\u4f53\u611f\u3057\u3066\u3044\u305f\u3060\u304f\u305f\u3081\u306b\u3001Karp\u306e21\u306e\u554f\u984c\u306e\u4e00\u3064\u3067\u3042\u308b\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u30bd\u30eb\u30d0\u30fc\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3092\u4f5c\u308b\u3068\u3044\u3046\u5177\u4f53\u4f8b\u3092\u901a\u3057\u3066\u3001\u5f93\u6765\u306eD-Wave SAPI\u3092\u7528\u3044\u305f\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u30b9\u30bf\u30a4\u30eb\u3068PyQUBO\u3092\u7528\u3044\u305f\u305d\u308c\u3068\u3092\u6bd4\u8f03\u3059\u308b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/10\/31\/pyqubo\u3092\u7528\u3044\u3066\u9802\u70b9\u88ab\u8986\u554f\u984c\u3092\u89e3\u304f\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PyQUBO \u306b\u3088\u308b\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u5229\u6d3b\u7528\u306e\u52b9\u7387\u5316 - T-QARD Harbor\" \/>\n<meta property=\"og:description\" content=\"\u4eca\u56de\u306f\u3001\uff08\u682a\uff09\u30ea\u30af\u30eb\u30fc\u30c8\u30b3\u30df\u30e5\u30cb\u30b1\u30fc\u30b7\u30e7\u30f3\u30ba\u304c\u958b\u767a\u3057\u3001\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9\u306b\u3088\u308a\u516c\u958b\u3055\u308c\u305f\u30c9\u30e1\u30a4\u30f3\u56fa\u6709\u8a00\u8a9e PyQUBO (\u30d7\u30ec\u30b9\u30ea\u30ea\u30fc\u30b9) \u3092\u7d39\u4ecb\u3059\u308b\u3002PyQUBO \u306f\u3001\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u5236\u7d04\u306a\u3057\u4e8c\u5024\u5909\u6570\u4e8c\u6b21\u8a08\u753b\u554f\u984c (QUBO)\u306e\u5f62\u306b\u5b9a\u5f0f\u5316\u3057\u305f\u5f8c\u3001D-Wave\u30de\u30b7\u30f3\u3084\u5bcc\u58eb\u901a\u30c7\u30b8\u30bf\u30eb\u30a2\u30cb\u30fc\u30e9\u3068\u3044\u3063\u305f\u30a4\u30b8\u30f3\u30b0\u30de\u30b7\u30f3\u306b\u8f09\u305b\u308b\u305f\u3081\u306b\u5fc5\u8981\u306a\u554f\u984c\u30c7\u30fc\u30bf\u306e\u5909\u63db\u3092\u6975\u3081\u3066\u7c21\u7565\u5316\u3059\u308b\u305f\u3081\u306e\u30c4\u30fc\u30eb\u30bb\u30c3\u30c8\u3067\u3042\u308b\u3002\u672c\u8a18\u4e8b\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u5229\u6d3b\u7528\u306b\u304a\u3051\u308b\u30df\u30c9\u30eb\u30a6\u30a7\u30a2\u958b\u767a\u4e8b\u4f8b\u3092\u4f53\u611f\u3057\u3066\u3044\u305f\u3060\u304f\u305f\u3081\u306b\u3001Karp\u306e21\u306e\u554f\u984c\u306e\u4e00\u3064\u3067\u3042\u308b\u9802\u70b9\u88ab\u8986\u554f\u984c\u306e\u30bd\u30eb\u30d0\u30fc\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3092\u4f5c\u308b\u3068\u3044\u3046\u5177\u4f53\u4f8b\u3092\u901a\u3057\u3066\u3001\u5f93\u6765\u306eD-Wave 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