{"id":990,"date":"2019-01-21T14:03:01","date_gmt":"2019-01-21T05:03:01","guid":{"rendered":"http:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=990"},"modified":"2019-01-21T14:03:01","modified_gmt":"2019-01-21T05:03:01","slug":"%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/","title":{"rendered":"\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f \uff082\u5909\u65701\u6b21\uff09\u306e\u6574\u6570\u89e3\u3092\u6c42\u3081\u308b"},"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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E3%81%AF%E3%81%98%E3%82%81%E3%81%AB\" >\u306f\u3058\u3081\u306b<\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E3%83%87%E3%82%A3%E3%82%AA%E3%83%95%E3%82%A1%E3%83%B3%E3%83%88%E3%82%B9%E6%96%B9%E7%A8%8B%E5%BC%8F%E3%81%A8%E3%81%AF\" >\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f\u3068\u306f<\/a><\/li><\/ul><\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\" >\u554f\u984c\u306e\u5b9a\u5f0f\u5316<\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E4%BA%8C%E5%80%A4%E5%A4%89%E6%95%B0%E3%81%AE%E5%AE%9A%E7%BE%A9%EF%BC%88%E6%96%B9%E7%A8%8B%E5%BC%8F%E8%A7%A3%E3%81%AE%E4%BA%8C%E5%80%A4%E8%A1%A8%E7%8F%BE%EF%BC%89\" >\u4e8c\u5024\u5909\u6570\u306e\u5b9a\u7fa9\uff08\u65b9\u7a0b\u5f0f\u89e3\u306e\u4e8c\u5024\u8868\u73fe\uff09<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E6%96%B9%E7%A8%8B%E5%BC%8F%E3%82%92%E8%A7%A3%E3%81%8F%E6%96%B9%E9%87%9D\" >\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u65b9\u91dd<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#QUBO%E8%A1%8C%E5%88%97%E3%81%AE%E6%BA%96%E5%82%99\" >QUBO\u884c\u5217\u306e\u6e96\u5099<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9F%E8%A1%8C%E4%BE%8B\" >\u554f\u984c\u306e\u5b9f\u884c\u4f8b<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#jupyter_notebook%E3%82%92%E7%94%A8%E3%81%84%E3%81%9FD-Wave%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%AE%E4%BD%BF%E7%94%A8\" >jupyter notebook\u3092\u7528\u3044\u305fD-Wave\u30de\u30b7\u30f3\u306e\u4f7f\u7528<\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E4%BD%BF%E7%94%A8%E3%81%97%E3%81%9F%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0\" >\u4f7f\u7528\u3057\u305f\u30d7\u30ed\u30b0\u30e9\u30e0<\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E8%A1%8C%E5%88%97%E7%94%9F%E6%88%90%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0\" >\u884c\u5217\u751f\u6210\u30d7\u30ed\u30b0\u30e9\u30e0<\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E5%87%BA%E5%8A%9B%E8%A7%A3%E6%9E%90%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0\" >\u51fa\u529b\u89e3\u6790\u30d7\u30ed\u30b0\u30e9\u30e0<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0%E3%81%AE%E5%AE%9F%E8%A1%8C%E4%BE%8B\" >\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u5b9f\u884c\u4f8b<\/a><\/li><\/ul><\/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\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%E6%9C%80%E5%BE%8C%E3%81%AB\" >\u6700\u5f8c\u306b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2019\/01\/21\/%e3%83%87%e3%82%a3%e3%82%aa%e3%83%95%e3%82%a1%e3%83%b3%e3%83%88%e3%82%b9%e6%96%b9%e7%a8%8b%e5%bc%8f%ef%bc%88%e4%bb%ae%e9%a1%8c%ef%bc%89%ef%bc%88%e9%87%91%e5%9e%a3%ef%bc%89\/#%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=\"%E3%81%AF%E3%81%98%E3%82%81%E3%81%AB\"><\/span>\u306f\u3058\u3081\u306b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u306e\u5fdc\u7528\u4e8b\u4f8b\u3068\u3057\u3066\u3001\u7d20\u56e0\u6570\u5206\u89e3\u3078\u306e\u5fdc\u7528\u304c\u3044\u304f\u3064\u304b\u65e2\u306b\u306a\u3055\u308c\u3066\u3044\u308b\u3002\uff08\u4f8b\u3048\u3070\u3001[<a href=\"https:\/\/www.nature.com\/articles\/s41598-018-36058-z\">S. Jiang <em>et al.<\/em>, Scientific Reports 8, 17667 (2018).<\/a>]\uff09 \u307e\u305f\u30012018\u5e74\u5f8c\u534a\u306b\u65b0\u305f\u306b\u516c\u958b\u3055\u308c\u305fWeb\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9 <a href=\"https:\/\/www.dwavesys.com\/take-leap\">D-Wave Leap<\/a>&nbsp;\u306b\u304a\u3044\u3066\u3082\u4e57\u7b97\u5668\u30d9\u30fc\u30b9\u306e\u7d20\u56e0\u6570\u5206\u89e3\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304cD-Wave\u30de\u30b7\u30f3\u5229\u7528\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3068\u3057\u3066\u7d39\u4ecb\u3055\u308c\u3066\u3044\u308b\uff08<a href=\"https:\/\/www.youtube.com\/watch?v=abP6dBnOwXs\">T-QARD\u306e\u65e5\u3005\u7b2c12\u56de\u306b\u304a\u3051\u308b\u7d39\u4ecb\u52d5\u753b<\/a>\uff09\u3002\u305d\u308c\u3067\u306f\u3001\u6570\u8ad6\u306e\u554f\u984c\u3067\u7d20\u56e0\u6570\u5206\u89e3\u4ee5\u5916\u306b\u56f0\u96e3\u306a\u554f\u984c\u3067D-Wave\u30de\u30b7\u30f3\u304c\u5229\u7528\u3067\u304d\u305d\u3046\u306a\u554f\u984c\u306f\u3042\u308b\u3060\u308d\u3046\u304b\uff1f\u305d\u306e\u3088\u3046\u306a\u554f\u984c\u3068\u3057\u3066\u3001 \u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f \u306e\u6c42\u89e3\u306b\u53d6\u308a\u7d44\u3093\u3067\u307f\u305f\u7d50\u679c\u3092\u672c\u8a18\u4e8b\u3068\u7d9a\u304f\u8a18\u4e8b\u306b\u3088\u3063\u3066\u7d39\u4ecb\u3057\u305f\u3044\u3002<time datetime=\"2017-02-21\"><\/time><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%87%E3%82%A3%E3%82%AA%E3%83%95%E3%82%A1%E3%83%B3%E3%83%88%E3%82%B9%E6%96%B9%E7%A8%8B%E5%BC%8F%E3%81%A8%E3%81%AF\"><\/span>\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f\u3068\u306f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6574\u6570\u306e\u4fc2\u6570\u3092\u6301\u3064\u5909\u6570\u306e\u6574\u6570\u4e57\u306e\u9805\u304b\u3089\u306a\u308b\u65b9\u7a0b\u5f0f\u3067\u3042\u308a(\u4f8b. $x^2+3y^2=10,x^5=1024$)\u3001\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f\u306e\u540d\u524d\u3092\u7528\u3044\u308b\u6642\u306b\u306f\u305d\u306e\u89e3\u304c\u6709\u7406\u6570\u307e\u305f\u306f\u6574\u6570\u306b\u9650\u5b9a\u3059\u308b\u5834\u5408\u304c\u591a\u3044\u3002\u7279\u306b\u30012\u5909\u65702\u6b21\u306e\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f $ax^2+by+c=0$\u306e\u6574\u6570\u89e3\u306e\u5b58\u5728\u5224\u5b9a\u306fNP\u5b8c\u5168\u554f\u984c\u306b\u5c5e\u3059\u308b\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\u3002\u305d\u3053\u3067\u3001\u4e00\u9023\u306e\u8a18\u4e8b\u3067\u306f\u3053\u306e$ax^2+by+c=0$\u306e\u30bf\u30a4\u30d7\u306e\u6574\u6570\u89e3\u306eD-Wave\u30de\u30b7\u30f3\u306b\u3088\u308b\u6c42\u89e3\u3092\u76ee\u6a19\u3068\u3059\u308b\u3002\u672c\u8a18\u4e8b\u3067\u306f\u305d\u306e\u7df4\u7fd2\u554f\u984c\u3068\u3057\u3066\u30012\u5909\u65701\u6b21\u306e\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f$ax+by+c=0$\u3092D-Wave\u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u89e3\u3044\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9A%E5%BC%8F%E5%8C%96\"><\/span>\u554f\u984c\u306e\u5b9a\u5f0f\u5316<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E5%80%A4%E5%A4%89%E6%95%B0%E3%81%AE%E5%AE%9A%E7%BE%A9%EF%BC%88%E6%96%B9%E7%A8%8B%E5%BC%8F%E8%A7%A3%E3%81%AE%E4%BA%8C%E5%80%A4%E8%A1%A8%E7%8F%BE%EF%BC%89\"><\/span>\u4e8c\u5024\u5909\u6570\u306e\u5b9a\u7fa9\uff08\u65b9\u7a0b\u5f0f\u89e3\u306e\u4e8c\u5024\u8868\u73fe\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6c42\u3081\u308b\u6574\u6570$x, y$\u3092\u6b21\u306e\u3088\u3046\u306b2\u9032\u6570\u3068\u3057\u3066\u8868\u73fe\u3057\u3001\u305d\u308c\u305e\u308c\u306e\u6841\u3092D-Wave\u30de\u30b7\u30f3\u3067\u6c42\u3081\u308b2\u5024\u5909\u6570\u3068\u3057\u305f\u3002\uff08\u4eca\u56de\u306f\u7c21\u5358\u306e\u305f\u3081\u306b$x, y$\u306f\u6b63\u306e\u6570\u306e\u307f\u3092\u63a2\u7d22\u3059\u308b\u3002\uff09<\/p>\n\n\n\n<p>$$<br>x=\\sum_i{x_i2^i}, y=\\sum_i{y_i2^i}, x_i, y_i \\in \\{0,1\\}<br>$$<\/p>\n\n\n\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u307e\u307e\u3067\u306f\u7121\u9650\u306b\u5909\u6570\u304c\u5897\u3048\u3066\u8a08\u7b97\u3067\u304d\u306a\u3044\u305f\u3081\u3001\u9069\u5f53\u306a\u7bc4\u56f2\u3067\u6841\u6570\u3092\u9650\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%B9%E7%A8%8B%E5%BC%8F%E3%82%92%E8%A7%A3%E3%81%8F%E6%96%B9%E9%87%9D\"><\/span>\u65b9\u7a0b\u5f0f\u3092\u89e3\u304f\u65b9\u91dd<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e00\u822c\u306b\u3001\u65b9\u7a0b\u5f0f$f(x_1, x_2, \\dots, x_N)=0$\u306e\u6c42\u89e3\u3092QUBO\u30bd\u30eb\u30d0\u30fc\u3067\u884c\u3046\u305f\u3081\u306b\u306f\u3001\u6700\u5c0f\u5316\u3059\u3079\u304d\u76ee\u7684\u95a2\u6570\u3068\u3057\u3066\u3001<\/p>\n\n\n\n<p>$$<br>H(x_1, x_2, \\dots, x_N) = (f(x_1, x_2, \\dots, x_N))^2<br>$$<\/p>\n\n\n\n<p>\u3092\u8003\u3048\u308b\u306e\u304c\u7d20\u6734\u306a\u6226\u7565\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u305f\u3068\u3048\u3070\u3001\u4eca\u56de\u306e\u30b1\u30fc\u30b9\u3067\u306f<\/p>\n\n\n\n<p>$$<br>H(x, y) = \\left( ax+by+c \\right)^2<br>$$<\/p>\n\n\n\n<p>\u3092\u8003\u3048\u308b\u3053\u3068\u3068\u306a\u308b\u3002\u30a4\u30e1\u30fc\u30b8\u3068\u3057\u3066\u306f\u4ee5\u4e0b\u306e\u56f3\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/790af86406b4de2a0315392ad27bcacc.png\" alt=\"\" class=\"wp-image-1315\"\/><\/figure><\/div>\n\n\n\n<p>\u3053\u306e\u56f3\u306f\u5de6\u304c\u5143\u306e\u65b9\u7a0b\u5f0f\u306e\u30b0\u30e9\u30d5\u3001\u53f3\u304c\u305d\u308c\u30922\u4e57\u3057\u305f\u30b0\u30e9\u30d5\u3068\u306a\u3063\u3066\u3044\u308b\u3002\u3053\u306e\u56f3\u3092\u898b\u308b\u3068\u5206\u304b\u308b\u3088\u3046\u306b\u3001\u6b63\u8ca0\u306b\u304b\u304b\u308f\u3089\u305a\u30010\u3067\u306a\u3044\u6570\u306f2\u4e57\u3059\u308b\u3068\u6b63\u306e\u5024\u3092\u6301\u3064\u3053\u3068\u304c\u5206\u304b\u308b\u3002\u3053\u306e\u6642\u30010\u306f2\u4e57\u3057\u3066\u30820\u306e\u307e\u307e\u306a\u306e\u3067\u30012\u4e57\u3057\u305f\u5f8c\u306e\u30b0\u30e9\u30d5\u3067\u306f\u6700\u5c0f\u5024\u3092\u3068\u308b\u70b9\u30680\u3092\u3068\u308b\u70b9\u304c\u4e00\u81f4\u3059\u308b\u3002$ax+by+c$\u3082\u540c\u69d8\u306b\u4e8c\u4e57\u3059\u308b\u3068$ax+by+c=0$\u3068\u306a\u308b\u70b9\u3001\u3059\u306a\u308f\u3061\u65b9\u7a0b\u5f0f\u306e\u89e3\u3068\u306a\u308b\u70b9\u304c\u6700\u5c0f\u5024\u306b\u306a\u308b\u3002\u305d\u306e\u305f\u3081\u3001$(ax+by+c)^2$\u306f\u76ee\u7684\u95a2\u6570\u3068\u3057\u3066\u6a5f\u80fd\u3059\u308b\u3053\u3068\u304c\u5206\u304b\u308b\u3002<\/p>\n\n\n\n<p>\u3067\u3042\u308a\u3001\u3053\u308c\u30922\u5024\u5909\u6570\u3092\u7528\u3044\u308bQUBO\u306e\u5f62\u306b\u76f4\u3059\u3068\u3001<\/p>\n\n\n\n<p>$$<br>H(x_0, \\dots x_{N-1}, y_0, \\dots, y_{N-1}) = \\left( a\\sum_{i}{x_i2^i}+b\\sum_{i}{y_i2^i}+c \\right)^2<br>$$<\/p>\n\n\n\n<p>\u3068\u306a\u308b\u3002\u5b9f\u969b\u3001\u3053\u306e\u5f0f\u306f$x_i, y_j$\u306b\u95a2\u3059\u308b\u4e8c\u6b21\u9805\u306e\u307f\u304b\u3089\u306a\u3063\u3066\u304a\u308a\u78ba\u304b\u306bQUBO\u578b\u306e\u76ee\u7684\u95a2\u6570\u3068\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"QUBO%E8%A1%8C%E5%88%97%E3%81%AE%E6%BA%96%E5%82%99\"><\/span>QUBO\u884c\u5217\u306e\u6e96\u5099<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>D-Wave\u30de\u30b7\u30f3\u306b\u9001\u4fe1\u3059\u308b\u60c5\u5831\u306fQUBO\u306e\u4e00\u822c\u5f62<\/p>\n\n\n\n<p>$$<br>H(\\mathbf{z})=\\mathbf{z}^{\\mathrm{T}} Q \\mathbf{z}<br>$$<\/p>\n\n\n\n<p>\u306b\u304a\u3051\u308b\u884c\u5217$Q$\u306e\u8981\u7d20\u3067\u3042\u308b\u3002\u3053\u3053\u3067\u3001\u4eca\u56de\u306e\u554f\u984c\u306b\u304a\u3051\u308b\u89e3\u306e\u4e8c\u5024\u8868\u73fe$x_0, \\dots, x_{N-1}, y_0, \\dots, y_{N-1}$\u3092\u7e4b\u3052\u305f\u30d9\u30af\u30c8\u30eb\u3068\u3057\u3066\u3001$\\mathbf{z} = (x_0, \\dots, x_{N-1}, y_0, \\dots, y_{N-1})^{\\mathrm{T}}$\u3092\u7528\u3044\u305f\u3002<\/p>\n\n\n\n<p>\u3055\u3066\u3001\u884c\u5217$Q$\u306e\u8981\u7d20\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u306f\u5730\u9053\u306b\u76ee\u7684\u95a2\u6570\u3092\u5c55\u958b\u3059\u308c\u3070\u3088\u304f\u3001<\/p>\n\n\n\n<p>$$<br>\\begin{equation*}<br>\\begin{split}<br>H<br>&amp;= a^2\\left(\\sum_{i}{x_i2^i}\\right)^2+b^2\\left(\\sum_{i}{y_i2^i}\\right)^2+c^2 \\\\<br>&amp; + 2ab\\left(\\sum_{i}{x_i2^i}\\right)\\left(\\sum_{i}{y_i2^i}\\right)+2ac\\left(\\sum_{i}{x_i2^i}\\right)+2bc\\left(\\sum_{i}{y_i2^i}\\right) \\\\<br>&amp;= a^2\\left(\\sum_{i}{x_i2^{2i}}+2\\sum_{i&lt;j}{x_ix_j2^{i+j}}\\right)+b^2\\left(\\sum_{i}{y_i2^{2i}}+2\\sum_{i&lt;j}{y_iy_j2^{i+j}}\\right)+c^2 \\\\<br>&amp; + 2ab\\left(\\sum_{i,j}{x_iy_j2^{i+j}}\\right)+2ac\\left(\\sum_{i}{x_i2^i}\\right)+2bc\\left(\\sum_{i}{y_i2^i}\\right) \\\\<br>&amp;= \\sum_{i}\\left(a^22^{2i}+2ac2^i\\right)x_i^2+\\sum_{i}\\left(b^22^{2i}+2bc2^i\\right)y_i^2+\\sum_{i&lt;j}{(2a^22^{i+j})x_ix_j} \\\\<br>&amp; + \\sum_{i&lt;j}{(2b^22^{i+j})y_iy_j}+\\sum_{i,j}{(2ab2^{i+j})x_iy_j}<br>\\end{split}<br>\\end{equation*}<br>$$<\/p>\n\n\n\n<p>\u3068\u5909\u5f62\u3067\u304d\u308b\u3002\u7d9a\u3044\u3066\u3001\u4f8b\u3068\u3057\u3066\u6841\u6570\u3092$N$\u3068\u3057\u305f\u6642\u3001<\/p>\n\n\n\n<p>$$<br>z_i=\\left\\{\\begin{array}{11}x_i &amp; (i\\leq N-1) \\\\ y_{i-N} &amp; (i\\geq N)\\end{array} \\right.<br>$$<\/p>\n\n\n\n<p>\u3067\u3042\u308b\u304b\u3089\u3001\u76ee\u7684\u95a2\u6570\u3092$z_i$\u3067\u8868\u3059\u3068\u3001<\/p>\n\n\n\n<p>$$<br>\\begin{equation*}<br>\\begin{split}<br>Obj<br>&amp;= \\sum_{i=0}^{N-1}\\left(a^22^{2i}+2ac2^i\\right)z_i^2+\\sum_{i=0}^{N-1}\\left(b^22^{2i}+2bc2^i\\right)z_{i+N}^2+\\sum_{i=0}^{N-1}\\sum_{j&gt;i}^{N-1}{(2a^22^{i+j})z_iz_j} \\\\<br>&amp; + \\sum_{i=0}^{N-1}\\sum_{j&gt;i}^{N-1}{(2b^22^{i+j})z_{i+N}z_{j+N}}+\\sum_{i=0}^{N-1}\\sum_{j=0}^{N-1}{(2ab2^{i+j})z_iz_{j+N}}<br>\\end{split}<br>\\end{equation*}<br>$$<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001Q\u306e\u5bfe\u89d2\u6210\u5206$Q_{ii}$\u3068\u975e\u5bfe\u89d2\u6210\u5206$Q_{ij}$\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{align}Q_{ii}<br>&amp;= a^22^{2i}+2ac2^i\\ \\ \\ (0\\leq i \\leq N-1)\\\\Q_{(i+N)(i+N)}<br>&amp;= b^22^{2i}+2bc2^i\\ \\ \\ (0\\leq i \\leq N-1)\\\\Q_{ij}<br>&amp;= 2a^22^{i+j}\\ \\ \\ (0\\leq i&lt;j\\leq N-1)\\\\Q_{(i+N)(j+N)}<br>&amp;= 2b^22^{i+j}\\ \\ \\&nbsp;(0\\leq i&lt;j\\leq N-1)\\\\Q_{i(j+N)}<br>&amp;= 2ab2^{i+j}\\ \\ \\ (0\\leq i \\leq N-1,0\\leq j\\leq N-1)<br>\\end{align}<br>$$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%95%8F%E9%A1%8C%E3%81%AE%E5%AE%9F%E8%A1%8C%E4%BE%8B\"><\/span>\u554f\u984c\u306e\u5b9f\u884c\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"jupyter_notebook%E3%82%92%E7%94%A8%E3%81%84%E3%81%9FD-Wave%E3%83%9E%E3%82%B7%E3%83%B3%E3%81%AE%E4%BD%BF%E7%94%A8\"><\/span>jupyter notebook\u3092\u7528\u3044\u305fD-Wave\u30de\u30b7\u30f3\u306e\u4f7f\u7528<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4e0a\u306e\u5b9a\u5f0f\u5316\u306b\u5f93\u3063\u3066\u3001jupyter notebook\u3092\u4ecb\u3057\u305fD-Wave\u30de\u30b7\u30f3\u3092\u4f7f\u3063\u3066\u5b9f\u969b\u306b\u89e3\u3044\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E4%BD%BF%E7%94%A8%E3%81%97%E3%81%9F%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0\"><\/span>\u4f7f\u7528\u3057\u305f\u30d7\u30ed\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u4eca\u56de\u3001\u5927\u304d\u304f\u5206\u3051\u3066D-Wave\u30de\u30b7\u30f3\u3078\u5165\u529b\u3059\u308b\u884c\u5217\u3092\u751f\u6210\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u3068D-Wave\u30de\u30b7\u30f3\u304b\u3089\u8fd4\u3063\u3066\u304d\u305f\u51fa\u529b\u3092\u89e3\u6790\u3059\u308b\u30d7\u30ed\u30b0\u30e9\u30e0\u306e2\u3064\u3092\u4f7f\u7528\u3057\u305f\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%A1%8C%E5%88%97%E7%94%9F%E6%88%90%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0\"><\/span>\u884c\u5217\u751f\u6210\u30d7\u30ed\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>#\u65b9\u7a0b\u5f0f\u306e\u5165\u529b\na = 3\nb = 8\nc = -73\n\n#x,y\u306e\u6841\u6570\u306e\u8a2d\u5b9a\nxmax=(0-c)\/a #x\u306e\u6700\u5927\u5024\nymax=(0-c)\/b #y\u306e\u6700\u5927\u5024\n\nfor i in range(100):\n        if(2**(i-1)&lt;xmax&lt;=2**i):\n            length = i\n            break\nfor i in range(100):\n        if(2**(i-1)&lt;ymax&lt;=2**i and i &gt; length):\n            length = i\n            break\n\n#\u884c\u5217\u306e\u30b5\u30a4\u30ba\u306e\u6c7a\u5b9a            \nlength2 = length * 2\nQ1 = [[0] * length2 for i in range(length2)]\n\n#\u884c\u5217Q1\u306e\u8981\u7d20\u306e\u8a08\u7b97\nfor i in range(0,length):\n    Q1[i][i] += (2**(2*i))*(a*a)+(2**(i+1))*a*c\n    Q1[length+i][length+i] += (2**(2*i))*(b*b)+(2**(i+1))*b*c\n    for j in range(i+1,length):\n        Q1[i][j] += (2**(i+j+1))*(a*a)\n        Q1[length+i][length+j] += (2**(i+j+1))*(b*b)\n    for j in range(0,length):\n        Q1[i][length+j] += (2**(i+j+1))*a*b<\/code><\/pre><\/div>\n\n\n\n<p>\u307e\u305a\u3001<\/p>\n\n\n\n<p>$$\\begin{align*}x=\\sum_i{x_i2^i}&amp;&amp;y=\\sum_i{y_i2^i} \\\\ x_i=\\{0,1\\}&amp;&amp;y_i=\\{0,1\\}\\end{align*}$$<\/p>\n\n\n\n<p>\u3068\u7f6e\u3044\u3066\u3044\u308b\u90fd\u5408\u4e0ax,y\u306f\u6b63\u306e\u5024\u3057\u304b\u53d6\u308c\u306a\u3044\u3002\u305d\u308c\u3092\u8003\u616e\u3057\u3001\u3053\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u306fa>0,b>0,c&lt;0\u306b\u4fc2\u6570\u3092\u9650\u5b9a\u3059\u308b\u3053\u3068\u3067\u89e3\u306e\u500b\u6570\u3092\u6709\u9650\u306b\u3057\u3066D-Wave\u30de\u30b7\u30f3\u3067\u89e3\u304d\u3084\u3059\u3044\u30d7\u30ed\u30b0\u30e9\u30e0\u306b\u3057\u305f\u3002<\/p>\n\n\n\n<p>x\u304c\u6700\u5927\u5024\u3092\u53d6\u308b\u306e\u306fy=0\u306e\u6642\u3067\u3042\u308a\u3001\u305d\u306e\u3068\u304d$ax+c=0$\u3068\u306a\u308b\u305f\u3081x\u306e\u6700\u5927\u5024$x_{max}=-c\/a$\u3002\u540c\u69d8\u306by\u306e\u6700\u5927\u5024$y_{max}=-c\/b$\u3068\u306a\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u3001x,y\u304c\u6700\u5927\u5024\u3067\u6291\u3048\u3089\u308c\u308b\u3053\u3068\u3092\u5229\u7528\u3057\u3066x\u3084y\u306f2\u9032\u6570\u3067\u4f55\u6841\u5fc5\u8981\u304b\u3092\u6c42\u3081\u308b\u3002$2^{i-1} \\leq x_{max}&lt;2^i$\u306a\u3089\u3070\u5168\u3066\u306ex\u306fi\u6841\u3042\u308c\u3070\u8868\u73fe\u3067\u304d\u3001y\u306b\u3082\u540c\u69d8\u306e\u3053\u3068\u304c\u8a00\u3048\u308b\u3002\u30d7\u30ed\u30b0\u30e9\u30e0\u4e2d\u76e4\u306efor\u6587\u3067\u4eca\u306e\u8a08\u7b97\u3092\u884c\u306a\u3063\u3066\u304a\u308a\u3001x,y\u306e\u3046\u3061\u5fc5\u8981\u306a\u6841\u6570\u306e\u591a\u3044\u65b9\u306b\u5408\u308f\u305b\u3066x\u3068y\u306b\u7528\u610f\u3059\u308b\u4e8c\u5024\u5909\u6570\u306e\u6570(length)\u3092\u6c7a\u3081\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u5148\u307b\u3069\u6c7a\u3081\u305f<span style=\"font-family: arial, helvetica, sans-serif;\"><span class=\"Apple-converted-space\">length (\u6841\u6570$N$)<\/span><\/span>\u306e2\u500d\u3060\u3051\u5909\u6570\u3092\u6e96\u5099\u3059\u308c\u3070\u3044\u3044\u305f\u3081\u3001length*2\u00d7length*2\u306e\u6b63\u65b9\u884c\u5217Q1\u3092D-Wave\u30de\u30b7\u30f3\u306b\u9001\u308b\u884c\u5217\u3068\u3057\u3066\u7528\u610f\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u305d\u306e\u5f8c\u3001\u554f\u984c\u306e\u5b9a\u5f0f\u5316\u3067\u8aac\u660e\u3057\u305f\u901a\u308a\u306b\u884c\u5217\u306e\u8981\u7d20\u3092\u751f\u6210\u3057\u3001\u884c\u5217\u3092D-Wave\u30de\u30b7\u30f3\u306b\u9001\u308a\u3001\u8fd4\u3063\u3066\u304d\u305f\u51fa\u529b\u3092\u6b21\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u51e6\u7406\u3057\u305f\u3002<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%87%BA%E5%8A%9B%E8%A7%A3%E6%9E%90%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0\"><\/span>\u51fa\u529b\u89e3\u6790\u30d7\u30ed\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism line-numbers lang-python\" data-lang=\"Python\"><code>#\u5f97\u3089\u308c\u305f\u89e3\u306e\u6570\u306b\u5fdc\u3058\u305f\u7e70\u308a\u8fd4\u3057\nfor i in range(answers):\n    x=0\n    y=0\n#2\u9032\u6570\u304b\u308910\u9032\u6570\u3078\n    for j in range(length):\n        if(decode_answer[i][j]==1):\n            x += decode_answer[i][j]*(2**i)\n        if(decode_answer[i][length+j]==1):\n            y += decode_answer[i][length+j]*(2**i)\n#\u51fa\u529b\n    print &#39;x =&#39;,\n    print x,\n    print &#39; y =&#39;,\n    print y,\n#\u30c0\u30d6\u30eb\u30c1\u30a7\u30c3\u30af\n    if(a*x+b*y+c==0):\n        print &#39;true&#39;\n    else:\n        print &#39;false&#39;<\/code><\/pre><\/div>\n\n\n\n<p>D-Wave\u30de\u30b7\u30f3\u306f\u4f55\u56de\u3082\u540c\u3058\u554f\u984c\u3092\u89e3\u304d\u3001\u305d\u306e\u89e3\u7b54\u306e\u4e2d\u304b\u3089\u826f\u3044\u89e3\u3092\u3044\u304f\u3064\u304b\u9078\u3073\u51fa\u529b\u3057\u3066\u3044\u308b\u305f\u3081\u3001\u51fa\u529b\u3055\u308c\u308b\u89e3\u306f\u8907\u6570\u5b58\u5728\u3059\u308b\u3002\u5177\u4f53\u7684\u306b\u306f\u6b21\u306e\u3088\u3046\u306b\u884c\u5217\u306e\u5f62\u3067\u51fa\u529b\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/wp-content\/uploads\/2018\/10\/63a772bf25f00317f288f6beb9340781.png\" alt=\"\" class=\"wp-image-1329\"\/><\/figure><\/div>\n\n\n\n<p>\u4e0a\u56f3\u306e\u3088\u3046\u306bi\u3067\u4f55\u756a\u76ee\u306b\u5f97\u3089\u308c\u305f\u89e3\u3092\u8abf\u3079\u308b\u304b\u3092\u6307\u5b9a\u3057\u3001j\u3067\u4f55\u756a\u76ee\u306e\u5909\u6570\u3092\u898b\u308b\u304b\u6307\u5b9a\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u4eca\u56de\u306e\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u306f\u5f97\u3089\u308c\u305f\u89e3\u306e\u500b\u6570\u3060\u3051\u30d7\u30ed\u30b0\u30e9\u30e0\u3092\u7e70\u308a\u8fd4\u3057\u3066\u3001\u5168\u3066\u306e\u89e3\u306b\u5bfe\u3057\u3066\u89e3\u6790\u3092\u884c\u306a\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u6b21\u306b\u3001\u89e3\u3068\u3057\u3066\u5f97\u3089\u308c\u305f\u89e3\u306f2\u9032\u6570\u306e\u5f62\u3067\u5f97\u3089\u308c\u308b\u305f\u3081\u3001\u4e0b\u5f0f\u306b\u3057\u305f\u304c\u3063\u3066x,y\u309210\u9032\u6570\u306b\u623b\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>$$<br>\\begin{align*}<br>x=\\sum_{i=0}^{length-1}{x_i2^i}=\\sum_{i=0}^{length-1}{z_i2^i}&amp;&amp;y=\\sum_{i=0}^{length-1}{y_i2^i}=\\sum_{i=0}^{length-1}{z_{length+i}2^i}<br>\\end{align*}<br>$$<\/p>\n\n\n\n<p>D-Wave\u30de\u30b7\u30f3\u306e\u7279\u6027\u4e0a\u3001\u3053\u3053\u3067\u5f97\u3089\u308c\u305f\u89e3\u306f\u8fd1\u4f3c\u89e3\u3067\u3042\u308b\u306e\u3067\u5fc5\u305a\u3057\u3082\u6b63\u3057\u3044\u89e3\u3068\u306f\u9650\u3089\u306a\u3044\u306e\u3067\u3001\u5143\u306e\u65b9\u7a0b\u5f0f\u306b\u4ee3\u5165\u3057\u3066\u6e80\u305f\u3059\u304b\u3069\u3046\u304b\u3092\u30c0\u30d6\u30eb\u30c1\u30a7\u30c3\u30af\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%97%E3%83%AD%E3%82%B0%E3%83%A9%E3%83%A0%E3%81%AE%E5%AE%9F%E8%A1%8C%E4%BE%8B\"><\/span>\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u5b9f\u884c\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u5b9f\u969b\u306b7x+3y=88\u3092\u89e3\u304b\u305b\u3066\u307f\u308b\u3068\u3001(x,y)=(10,6),(0,29)\u306e2\u901a\u308a\u306e\u89e3\u304c\u5f97\u3089\u308c\u305f\u3002\u3053\u306e\u3046\u3061\u3001(10,6)\u306e\u65b9\u306f\u6b63\u7b54\u3067\u3042\u308b\u304c\u3001(0,29)\u306f7x+3y=88\u3092\u6e80\u305f\u3055\u306a\u3044\u3053\u3068\u304c\u5206\u304b\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u3001D-Wave\u30de\u30b7\u30f3\u306e\u7d50\u679c\u306f\u7d76\u5bfe\u306b\u5408\u3063\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u306a\u3044\u306e\u3067\u3001\u5148\u307b\u3069\u8ff0\u3079\u305f\u30c0\u30d6\u30eb\u30c1\u30a7\u30c3\u30af\u304c\u5fc5\u8981\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u554f\u984c\u70b9\u3068\u3057\u3066\u306f\u3082\u3046\u4e00\u3064\u30017x+3y=88\u306e\u89e3\u306f(x,y)=(10,6)\u4ee5\u5916\u306b\u3082(x,y)=(1,27),(4,20),(7,13)\u304c\u5b58\u5728\u3057\u3066\u3044\u308b\u304c\u3001\u305d\u308c\u306f\u51fa\u529b\u3055\u308c\u3066\u3044\u306a\u3044\u3002\u3053\u308c\u3089\u306e\u89e3\u304c\u6c42\u3081\u3089\u308c\u306a\u3044\u7406\u7531\u306f2\u3064\u3042\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>\u8a66\u884c\u56de\u6570<br>D-Wave\u30de\u30b7\u30f3\u306f\u8fd1\u4f3c\u89e3\u3092\u51fa\u529b\u3059\u308b\u305f\u3081\u3001\u540c\u3058\u554f\u984c\u3092\u89e3\u304b\u305b\u3066\u3082\u6bce\u56de\u7570\u306a\u308b\u89e3\u304c\u51fa\u529b\u3055\u308c\u308b\u3002\u4e00\u5ea6\u306e\u7d50\u679c\u304c\u5168\u3066\u3068\u3044\u3046\u308f\u3051\u3067\u306f\u306a\u304f\u3001\u4f55\u56de\u304b\u7e70\u308a\u8fd4\u3059\u3053\u3068\u3067\u4ed6\u306e\u89e3\u304c\u5f97\u3089\u308c\u308b\u3053\u3068\u304c\u3042\u308b\u306e\u3067\u89e3\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u3092\u5f97\u305f\u3044\u5834\u5408\u8907\u6570\u56deD-Wave\u30de\u30b7\u30f3\u306b\u89e3\u304b\u305b\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u305f\u3060\u3057\u3001\u6b21\u306e\u7406\u7531\u306b\u3088\u3063\u3066\u8a66\u884c\u56de\u6570\u3092\u91cd\u306d\u3066\u3082\u51fa\u306a\u3044\u89e3\u304c\u5b58\u5728\u3059\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u3002<\/li><li>\u51fa\u529b\u7d50\u679c\u306e\u504f\u308a<br>Wave\u30de\u30b7\u30f3\u306e\u89e3\u306b\u306f\u51fa\u3084\u3059\u3044\u3082\u306e\u3068\u51fa\u306b\u304f\u3044\u3082\u306e\u304c\u5b58\u5728\u3059\u308b\u3053\u3068\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u3002<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9C%80%E5%BE%8C%E3%81%AB\"><\/span>\u6700\u5f8c\u306b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4eca\u56de\u306f\u5b9a\u5f0f\u5316\u3068\u3068\u308a\u3042\u3048\u305a\u306e\u8a66\u884c\u306e\u69d8\u5b50\u3092\u8ff0\u3079\u305f\u3002\u6b21\u56de\u306f\u4e8c\u5909\u6570\u4e8c\u6b21\u306e\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f\u306e\u6c42\u89e3\u306b\u53d6\u308a\u7d44\u307f\u3001\u307e\u305f\u3001\u4eca\u56de\u3068\u5408\u308f\u305b\u3066\u5f97\u3089\u308c\u308b\u8fd1\u4f3c\u89e3\u306e\u632f\u308b\u821e\u3044\u306b\u3064\u3044\u3066\u8b70\u8ad6\u3057\u305f\u3044\u3002<\/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>\u91d1\u57a3 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Jiang et al., Scientific Reports 8, 17667 (2018).]\uff09 \u307e [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-990","post","type-post","status-publish","format-standard","hentry","category-hands-on"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u65b9\u7a0b\u5f0f \uff082\u5909\u65701\u6b21\uff09\u306e\u6574\u6570\u89e3\u3092\u6c42\u3081\u308b - T-QARD Harbor<\/title>\n<meta name=\"description\" content=\"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3 \u306e\u5fdc\u7528\u4e8b\u4f8b\u3068\u3057\u3066\u3001\u7d20\u56e0\u6570\u5206\u89e3\u3078\u306e\u5fdc\u7528\u304c\u3044\u304f\u3064\u304b\u65e2\u306b\u306a\u3055\u308c\u3066\u3044\u308b\u3002\uff08\u4f8b\u3048\u3070\u3001[S. 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