{"id":122,"date":"2018-05-16T15:16:30","date_gmt":"2018-05-16T06:16:30","guid":{"rendered":"http:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=122"},"modified":"2018-05-16T15:16:30","modified_gmt":"2018-05-16T06:16:30","slug":"%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/","title":{"rendered":"\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u3078\u306e\u5fdc\u7528 &#8220;Graph Partitioning using Quantum Annealing on the D-Wave System&#8221; by H. Ushijima-Mwesigawa, et al. (2017)."},"content":{"rendered":"\n<p>\u4e0e\u3048\u3089\u308c\u305f\u30b0\u30e9\u30d5\u3092, \u5207\u65ad\u3059\u308b\u8fba\u306e\u6570\u3092\u6700\u5c0f\u306b\u3057\u3066\u3044\u304f\u3064\u304b\u306e\u90e8\u5206\u30b0\u30e9\u30d5\u306b\u5206\u5272\u3059\u308b\uff08\u6700\u5c0f\u30ab\u30c3\u30c8\u554f\u984c\uff09 \u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u3092\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u8868\u73fe\u3067\u5b9a\u5f0f\u5316\u3057, D-Wave 2X\u306b\u3088\u308a\u89e3\u3044\u305f\u3002\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u306f<a href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=43\">Karp\u306e21\u306e\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c<\/a>\u306e1\u3064\u3068\u306a\u3063\u3066\u3044\u308b\u3002\u5206\u5272\u6570\u304c2\u306e\u5834\u5408\u3068\u305d\u308c\u4ee5\u4e0a\u306e\u6570\u306e\u5834\u5408\u3067\u306f\u8868\u73fe\u5f62\u5f0f\u304c\u7570\u306a\u308b\u3053\u3068\u304c\u8208\u5473\u6df1\u3044\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\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%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\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E3%82%B0%E3%83%A9%E3%83%95%E5%88%86%E5%89%B2%E5%95%8F%E9%A1%8C\" >\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c<\/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\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E5%88%86%E5%89%B2%E6%95%B0%E3%81%8C2%E3%81%AE%E5%A0%B4%E5%90%88\" >\u5206\u5272\u6570\u304c2\u306e\u5834\u5408<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E6%9C%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\" >\u6700\u9069\u5316\u554f\u984c\u306e\u5b9a\u5f0f\u5316<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E5%A4%89%E6%95%B0\" >\u5909\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0\" >\u76ee\u7684\u95a2\u6570<\/a><\/li><\/ul><\/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\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#D-Wave%E3%83%9E%E3%82%B7%E3%83%B3%E5%AE%9F%E8%A3%85%E4%B8%8A%E3%81%AE%E5%B7%A5%E5%A4%AB\" >D-Wave\u30de\u30b7\u30f3\u5b9f\u88c5\u4e0a\u306e\u5de5\u592b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E7%94%A8%E3%81%84%E3%81%9F%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88\" >\u7528\u3044\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E7%B5%90%E6%9E%9C\" >\u7d50\u679c<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E5%88%86%E5%89%B2%E6%95%B0%E3%81%8CK%E3%81%AE%E5%A0%B4%E5%90%88\" >\u5206\u5272\u6570\u304cK\u306e\u5834\u5408<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E6%9C%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96-2\" >\u6700\u9069\u5316\u554f\u984c\u306e\u5b9a\u5f0f\u5316<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E5%A4%89%E6%95%B0-2\" >\u5909\u6570<\/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\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0-2\" >\u76ee\u7684\u95a2\u6570<\/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\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%E7%B5%90%E6%9E%9C-2\" >\u7d50\u679c<\/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\/2018\/05\/16\/%e3%82%b0%e3%83%a9%e3%83%95%e5%88%86%e5%89%b2%e5%95%8f%e9%a1%8c%e9%87%91%e5%9e%a3\/#%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>Hayato Ushijima-Mwesigwa, Christian F. A. Negre, Susan M. Mniszewski, &#8220;Graph Partitioning using Quantum Annealing on the D-Wave System&#8221;, <a href=\"https:\/\/arxiv.org\/abs\/1705.03082\">arXiv:1705.03082<\/a> [quant-ph].<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%82%B0%E3%83%A9%E3%83%95%E5%88%86%E5%89%B2%E5%95%8F%E9%A1%8C\"><\/span>\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u6271\u3046\u554f\u984c\u306e\u5b9a\u5f0f\u5316\u306f, \u5206\u5272\u6570\u304c2\u306e\u5834\u5408\u3068\u305d\u308c\u3088\u308a\u5927\u304d\u3044\u4e00\u822c\u306eK\u306e\u5834\u5408\u3067\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u8868\u73fe\u304c\u5c11\u3005\u7570\u306a\u308b.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%86%E5%89%B2%E6%95%B0%E3%81%8C2%E3%81%AE%E5%A0%B4%E5%90%88\"><\/span>\u5206\u5272\u6570\u304c2\u306e\u5834\u5408<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%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>\u6700\u9069\u5316\u554f\u984c\u306e\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/d14f151532e5e8b7d00522d781d69b32.png\" alt=\"\" class=\"wp-image-345\" width=\"190\" height=\"126\"\/><\/figure>\n<\/div>\n\n\n<p>\u5206\u5272\u6570\u304c2\u306e\u5834\u5408, \u30a4\u30b8\u30f3\u30b0\u8868\u73fe\uff08\u4e8c\u5024\u5909\u6570\u3068\u3057\u3066+1\u304b-1\uff09\u3067\u8868\u73fe\u3059\u308b\u306e\u304c\u81ea\u7136\u3067\u3042\u308b.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%A4%89%E6%95%B0\"><\/span>\u5909\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n$$s_i = \\{ -1, 1 \\}$$\n\n\n\n<p>\u70b9i\u304c-1,1\u3067\u3069\u3061\u3089\u306e\u30b0\u30eb\u30fc\u30d7\u306b\u6240\u5c5e\u3057\u3066\u3044\u308b\u304b\u3092\u793a\u3057\u3066\u3044\u308b.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0\"><\/span>\u76ee\u7684\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/534a1dc81e4038524552bf4c9cec8ea0.png\" alt=\"\" class=\"wp-image-356\" width=\"300\" height=\"118\"\/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"D-Wave%E3%83%9E%E3%82%B7%E3%83%B3%E5%AE%9F%E8%A3%85%E4%B8%8A%E3%81%AE%E5%B7%A5%E5%A4%AB\"><\/span>D-Wave\u30de\u30b7\u30f3\u5b9f\u88c5\u4e0a\u306e\u5de5\u592b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u30b9\u30ec\u30c3\u30b7\u30e7\u30eb\u30c9\u3068\u3044\u3046\u624b\u6cd5\u3067\u6307\u5b9a\u3057\u305f\u5024\u4ee5\u4e0b\u306e\u6570\u5024\u306f0\u3068\u3057\u3066\u6271\u3046\u3068, \u8a08\u7b97\u306b\u5fc5\u8981\u306aqubits\u304c\u6e1b\u308b\u306e\u3067D-Wave\u306b\u5b9f\u88c5\u3057\u3084\u3059\u304f\u306a\u308b\u30e1\u30ea\u30c3\u30c8\u304c\u3042\u308b. \u3057\u304b\u3057, \u540c\u6642\u306b\u7cbe\u5ea6\u3082\u843d\u3061, \u30e2\u30b8\u30e5\u30e9\u30ea\u30c6\u30a3\u304c0\u3068\u306a\u308a\u30e9\u30f3\u30c0\u30e0\u30ab\u30c3\u30c8\u306b\u3055\u3048\u512a\u4f4d\u5dee\u3092\u6301\u3066\u306a\u3044\u30b1\u30fc\u30b9\u3082\u3042\u308b.<\/p>\n\n\n\n<p>\uff08\u30e2\u30b8\u30e5\u30e9\u30ea\u30c6\u30a3:\u70b9\u306e\u6b21\u6570\u3092\u5909\u3048\u305a\u306b\u30e9\u30f3\u30c0\u30e0\u306b\u7dda\u3092\u3064\u306a\u304e\u5408\u308f\u305b\u305f\u6642\u3092\u6bd4\u8f03\u5bfe\u8c61\u306b\u3057\u3066\u3069\u308c\u3060\u3051\u512a\u308c\u305f\u5206\u5272\u3092\u3057\u3066\u3044\u308b\u304b\u3092\u793a\u3057\u305f\u5024\uff09<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%94%A8%E3%81%84%E3%81%9F%E3%83%87%E3%83%BC%E3%82%BF%E3%82%BB%E3%83%83%E3%83%88\"><\/span>\u7528\u3044\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Random graph models, the Walshaw Archive, QMD molecule electronic structure graphs\u306e\u30b0\u30e9\u30d5\u3092\u7528\u3044\u3066\u305d\u308c\u3089\u306e\u30ce\u30fc\u30c9\u3068\u30ea\u30f3\u30af\u3092\u5165\u529b\u30c7\u30fc\u30bf\u3068\u3057\u305f. \u307e\u305fMETIS, KaHIP\u3092\u65e2\u5b58\u306e\u30b0\u30e9\u30d5\u5206\u5272\u30d7\u30ed\u30b0\u30e9\u30e0\u3068\u3057\u3066\u6bd4\u8f03\u5bfe\u8c61\u3068\u3057\u3066\u4f7f\u7528\u3057\u305f.<\/p>\n\n\n\n<h3 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><\/h3>\n\n\n\n<p>sapi Python, qbsolv\u306e\u4e8c\u7a2e\u985e\u3092\u4f7f\u3044, D-Wave system\u3067\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u3092\u89e3\u304b\u305b, \u305d\u306e\u7d50\u679c\u3092METIS, KaHIP\u3068\u6bd4\u8f03\u3057\u305f. \u5b9f\u969b\u306e\u6570\u5024\u30c7\u30fc\u30bf\u306e\u4e00\u90e8\u3092\u4ee5\u4e0b\u306b\u8f09\u305b\u308b. \uff08\u6570\u5b57\u306f\u30b0\u30e9\u30d5\u5206\u5272\u306e\u969b\u306b\u5207\u3063\u305f\u7dda\u306e\u6570\u3067<strong>\u5c11\u306a\u3044\u65b9<\/strong>\u304c\u512a\u52e2\uff09<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/4d8167a428cfbf6c0142c99fcbeb575f.png\" alt=\"\" class=\"wp-image-362\" width=\"328\" height=\"237\"\/><\/figure>\n<\/div>\n\n\n<p>\u7d50\u679c\u3092\u898b\u3066\u3044\u304f\u3068, \u30b0\u30e9\u30d5\u306b\u3088\u3063\u3066\u591a\u5c11\u306e\u6709\u5229\u4e0d\u5229\u306f\u3042\u308c\u3069\u3082, \u4e8c\u5206\u5272\u306b\u95a2\u3057\u3066\u306f, \u540c\u7b49\u3082\u3057\u304f\u306f\u512a\u52e2\u3068\u3044\u3046\u7d50\u679c\u304c\u5f97\u3089\u308c\u305f.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/d652091881b6a89686cf48a3000aae90.png\" alt=\"\" class=\"wp-image-340\" width=\"437\" height=\"129\"\/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%88%86%E5%89%B2%E6%95%B0%E3%81%8CK%E3%81%AE%E5%A0%B4%E5%90%88\"><\/span>\u5206\u5272\u6570\u304cK\u306e\u5834\u5408<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%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96-2\"><\/span>\u6700\u9069\u5316\u554f\u984c\u306e\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%A4%89%E6%95%B0-2\"><\/span>\u5909\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>$$x_{ij} = \\{ 0, 1 \\}$$<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/438748073148508df3744794bace3b24.png\" alt=\"\" class=\"wp-image-377\" width=\"208\" height=\"216\"\/><\/figure>\n<\/div>\n\n\n<p>2\u3088\u308a\u5927\u304d\u3044\u4e00\u822c\u306eK\u90e8\u5206\u30b0\u30e9\u30d5\u306b\u5206\u5272\u3059\u308b\u5834\u5408\u306fQUBO\u8868\u73fe\uff08\u4e8c\u5024\u5909\u6570\u3068\u3057\u30661\u304b0\uff09\u3067\u8868\u3059\u3053\u3068\u304c\u81ea\u7136\u3067\u3042\u308b. \u70b9i\u304c\u30b0\u30eb\u30fc\u30d7$ j \\in \\{1,2,&#8230;,k\\}$ \u306b\u6240\u5c5e\u3057\u3066\u3044\u305f\u30891,\u305d\u3046\u3067\u306a\u3051\u308c\u30700\u3068\u3044\u3046\u3088\u3046\u306b\u8868\u73fe\u3059\u308b.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%9B%AE%E7%9A%84%E9%96%A2%E6%95%B0-2\"><\/span>\u76ee\u7684\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/f49c58680e670374023748b616c887c9.png\" alt=\"\" class=\"wp-image-364\" width=\"403\" height=\"123\"\/><\/figure>\n<\/div>\n\n\n<p>\u3053\u3053\u3067\u7b2c\u4e00\u9805\u5185\u306b\u3042\u308bL\u3068\u3044\u3046\u884c\u5217\u306f\u30e9\u30d7\u30e9\u30b7\u30a2\u30f3\u884c\u5217\u3067\u3042\u308b.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C-2\"><\/span>\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e8c\u5206\u5272\u3068\u540c\u69d8\u306e\u6761\u4ef6\u3067\u884c\u3063\u305f\u5b9f\u9a13\u306e\u7d50\u679c\u306e\u4e00\u90e8\u3092\u4ee5\u4e0b\u306b\u8f09\u305b\u308b.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/6422b1f5dbd4ac6a75b33389b230c3c7.png\" alt=\"\" class=\"wp-image-365\" width=\"247\" height=\"334\"\/><\/figure>\n<\/div>\n\n\n<p>\u30b0\u30e9\u30d5\u306b\u3088\u3063\u3066\u65e2\u5b58\u306e\u65b9\u6cd5\u304bqbsolv\u304c\u826f\u3044\u306e\u304b\u304c\u7570\u306a\u308b. \u305d\u306e\u7406\u7531\u3068\u3057\u3066qbsolv\u3067\u306f\u30eb\u30fc\u30eb\u304b\u3089\u70b9\u306e\u6240\u5c5e\u30b0\u30eb\u30fc\u30d7\u3092\u4e00\u6c17\u306b\u6c7a\u3081\u308b\u306e\u306b\u5bfe\u3057, METIS\u306f\u51dd\u96c6\u578b\u968e\u5c64\u7684\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3092\u4f7f\u3044, \u3088\u308a\u76f8\u95a2\u304c\u5f37\u3044\u70b9\u3092\u96c6\u3081\u3066\u3044\u304f\u624b\u6cd5\u3092\u3068\u3063\u3066\u3044\u308b\u305f\u3081\u30b0\u30e9\u30d5\u306b\u3088\u3063\u3066\u6709\u5229\u4e0d\u5229\u304c\u751f\u307e\u308c\u3066\u3044\u308b. \u3057\u304b\u3057, \u57fa\u672c\u7684\u306b\u306f\u65e2\u5b58\u306e\u65b9\u6cd5\u3068\u540c\u3058\u304b\u3088\u308a\u9ad8\u3044\u8cea\u306e\u30b0\u30e9\u30d5\u5206\u5272\u304c\u306a\u3055\u308c\u3066\u3044\u308b.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/05\/404b6563c367f14d531cdabcec26d495.png\" alt=\"\" class=\"wp-image-341\" width=\"451\" height=\"232\"\/><\/figure>\n<\/div>\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>\u91d1\u57a3\u8475\uff08\u7de8\u96c6: \u307f\u3084\u307e\u307e\u3055\u307f\u3061\uff09<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e0e\u3048\u3089\u308c\u305f\u30b0\u30e9\u30d5\u3092, \u5207\u65ad\u3059\u308b\u8fba\u306e\u6570\u3092\u6700\u5c0f\u306b\u3057\u3066\u3044\u304f\u3064\u304b\u306e\u90e8\u5206\u30b0\u30e9\u30d5\u306b\u5206\u5272\u3059\u308b\uff08\u6700\u5c0f\u30ab\u30c3\u30c8\u554f\u984c\uff09 \u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u3092\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u8868\u73fe\u3067\u5b9a\u5f0f\u5316\u3057, D-Wave 2X\u306b\u3088\u308a\u89e3\u3044\u305f\u3002\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u306fKarp\u306e21\u306e [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12,50,112],"class_list":["post-122","post","type-post","status-publish","format-standard","hentry","category-review","tag-d-wave-2x","tag-50","tag-112"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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Ushijima-Mwesigawa, et al. (2017). - T-QARD Harbor<\/title>\n<meta name=\"description\" content=\"\u4e0e\u3048\u3089\u308c\u305f\u30b0\u30e9\u30d5\u3092\uff0c\u5207\u65ad\u3059\u308b\u8fba\u306e\u6570\u3092\u6700\u5c0f\u306b\u3057\u3066\u3044\u304f\u3064\u304b\u306e\u90e8\u5206\u30b0\u30e9\u30d5\u306b\u5206\u5272\u3059\u308b\uff08\u6700\u5c0f\u30ab\u30c3\u30c8\u554f\u984c\uff09 \u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u3092\u30a4\u30b8\u30f3\u30b0\u30b9\u30d4\u30f3\u30b0\u30e9\u30b9\u8868\u73fe\u3067\u5b9a\u5f0f\u5316\u3057\uff0cD-Wave 2X\u306b\u3088\u308a\u89e3\u3044\u305f\u3002\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u306fKarp\u306e21\u306e\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e1\u3064\u3068\u306a\u3063\u3066\u3044\u308b\u3002\u5206\u5272\u6570\u304c2\u306e\u5834\u5408\u3068\u305d\u308c\u4ee5\u4e0a\u306e\u6570\u306e\u5834\u5408\u3067\u306f\u8868\u73fe\u5f62\u5f0f\u304c\u7570\u306a\u308b\u3053\u3068\u304c\u8208\u5473\u6df1\u3044\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\/05\/16\/\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c\u91d1\u57a3\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u30b0\u30e9\u30d5\u5206\u5272\u554f\u984c \u3078\u306e\u5fdc\u7528 &quot;Graph Partitioning using Quantum Annealing on the D-Wave System&quot; by H. 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