{"id":2104,"date":"2022-01-10T20:54:10","date_gmt":"2022-01-10T11:54:10","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=2104"},"modified":"2022-01-10T20:54:10","modified_gmt":"2022-01-10T11:54:10","slug":"%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/","title":{"rendered":"\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u306bD-Wave\u30de\u30b7\u30f3\u3092\u7528\u3044\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 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>\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E8%83%8C%E6%99%AF%E3%83%BB%E8%AA%B2%E9%A1%8C\" >\u80cc\u666f\u30fb\u8ab2\u984c<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E3%83%9C%E3%83%AB%E3%83%84%E3%83%9E%E3%83%B3%E6%A9%9F%E6%A2%B0%E5%AD%A6%E7%BF%92%E3%81%A8%E3%81%AF\" >\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\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-5\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E6%96%B9%E6%B3%95\" >\u65b9\u6cd5<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E7%94%BB%E5%83%8F%E3%81%AE%E7%94%9F%E6%88%90%E3%83%BB%E5%BE%A9%E5%85%83\" >\u753b\u50cf\u306e\u751f\u6210\u30fb\u5fa9\u5143<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E5%AE%9F%E9%A8%93%E3%83%BB%E7%B5%90%E6%9E%9C\" >\u5b9f\u9a13\u30fb\u7d50\u679c<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#1_%E6%89%8B%E6%9B%B8%E3%81%8D%E6%95%B0%E5%AD%97%E3%81%AE%E5%AD%A6%E7%BF%92_%E2%80%93_OptDigits\" >(1) \u624b\u66f8\u304d\u6570\u5b57\u306e\u5b66\u7fd2 &#8211; OptDigits<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#2_%E6%AD%A3%E8%A7%A3%E3%81%8C%E6%98%8E%E7%A2%BA%E3%81%AA%E3%83%87%E3%83%BC%E3%82%BF%E3%81%AE%E5%AD%A6%E7%BF%92_%E2%80%93_BAS\" >(2) \u6b63\u89e3\u304c\u660e\u78ba\u306a\u30c7\u30fc\u30bf\u306e\u5b66\u7fd2 &#8211; BAS<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#3_SK%E6%A8%A1%E5%9E%8B%E3%81%AE%E5%AD%A6%E7%BF%92\" >(3) SK\u6a21\u578b\u306e\u5b66\u7fd2<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E7%B5%90%E8%AB%96\" >\u7d50\u8ad6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E7%B7%A8%E9%9B%86%E8%80%85%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u7de8\u96c6\u8005\u3042\u3068\u304c\u304d<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\" >\u53c2\u8003\u6587\u732e<\/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\/2022\/01\/10\/%e3%83%9c%e3%83%ab%e3%83%84%e3%83%9e%e3%83%b3%e6%a9%9f%e6%a2%b0%e5%ad%a6%e7%bf%92%e3%81%abd-wave%e3%83%9e%e3%82%b7%e3%83%b3%e3%82%92%e7%94%a8%e3%81%84%e3%82%8b\/#%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><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span>\u6587\u732e\u60c5\u5831<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30bf\u30a4\u30c8\u30eb: Quantum-Assisted Learning of Hardware-Embedded Probabilistic Graphical Models<br>\u8457\u8005: Marcello<br>Benedetti, John Realpe-G\u00f3mez, Rupak Biswas and Alejandro Perdomo-Ortiz<br>\u66f8\u8a8c\u60c5\u5831: <i>Phys. Rev. X<\/i><br><b>7<\/b>, 041052 (2017)<br>DOI : <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevX.7.041052\">10.1103\/PhysRevX.7.041052<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u3067\u306f\u5bfe\u6570\u5c24\u5ea6\u95a2\u6570\u3092\u6700\u5927\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u304b\u3089\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u5e73\u5747\u5024\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u65b9\u6cd5\u306e\u4e00\u3064\u3068\u3057\u3066\u3001\u30de\u30eb\u30b3\u30d5\u9023\u9396\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6cd5 (MCMC)\u304c\u4f7f\u308f\u308c\u3066\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001MCMC\u306f\u521d\u671f\u72b6\u614b\u304b\u3089\u5e73\u8861\u72b6\u614b\u3078\u306e\u7de9\u548c\u306b\u9577\u6642\u9593\u306e\u8a08\u7b97\u3092\u8981\u3059\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u3001\u7de9\u548c\u3057\u305f\u5f8c\u3082\u5e73\u5747\u5024\u3092\u7cbe\u5ea6\u826f\u304f\u6c42\u3081\u308b\u305f\u3081\u306e\u5341\u5206\u306a\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6570\u306e\u78ba\u4fdd\u306b\u6642\u9593\u304c\u304b\u304b\u308b\u3068\u3044\u3063\u305f\u8ab2\u984c\u3082\u3042\u308a\u307e\u3059<sup>[1]<\/sup>\u3002\u305d\u3053\u3067\u672c\u8ad6\u6587\u3067\u306f\u3001D-Wave\u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u308b\u51fa\u529b\u306e\u5206\u5e03\u304c\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u8fd1\u3044\u3053\u3068\u3092\u5229\u7528\u3057\u3066\u3001\u5e73\u5747\u5024\u306e\u8a08\u7b97\u306bD-Wave\u30de\u30b7\u30f3\u3092\u7528\u3044\u307e\u3059\u3002\u672c\u624b\u6cd5\u306b\u3088\u308a\u3001\u624b\u66f8\u304d\u6570\u5b57\u753b\u50cf\u306e\u751f\u6210\u30fb\u5fa9\u5143\u304c\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u306b\u52a0\u3048\u3001\u30e9\u30f3\u30c0\u30e0\u306a\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3082\u5b66\u7fd2\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E8%83%8C%E6%99%AF%E3%83%BB%E8%AA%B2%E9%A1%8C\"><\/span>\u80cc\u666f\u30fb\u8ab2\u984c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%83%9C%E3%83%AB%E3%83%84%E3%83%9E%E3%83%B3%E6%A9%9F%E6%A2%B0%E5%AD%A6%E7%BF%92%E3%81%A8%E3%81%AF\"><\/span>\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u3068\u306f<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>$ N $\u6b21\u5143\u306e\u30d9\u30af\u30c8\u30eb\u3067\u8868\u3055\u308c\u308b$ D\u7d44 $\u306e\u30c7\u30fc\u30bf$ \\sigma^{(d)} $\u304c\u3001\u7d4c\u9a13\u5206\u5e03\u306b\u5f93\u3063\u3066\u51fa\u529b\u3055\u308c\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002D-Wave\u30de\u30b7\u30f3\u304b\u3089\u5f97\u3089\u308c\u308b\u89e3\u5019\u88dc\u306e\u5206\u5e03\u306f\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u8fd1\u3044\u3053\u3068\u304c\u77e5\u3089\u308c\u3066\u3044\u308b\u306e\u3067\u3001\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u304c\u30c7\u30fc\u30bf\u306e\u7d4c\u9a13\u5206\u5e03\u306b\u8fd1\u3065\u304f\u3088\u3046\u306b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u8abf\u6574\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-2110\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/01\/bolts-1024x438.png\" alt=\"\" class=\"wp-image-2110\"\/><figcaption>\u56f31. \u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u306e\u6982\u7565\u56f3<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u7d9a\u3044\u3066\u3001\u5b66\u7fd2\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3059\u308b\u969b\u3001\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u304c\u3069\u308c\u304f\u3089\u3044\u7d4c\u9a13\u5206\u5e03\u306b\u8fd1\u3065\u3044\u305f\u306e\u304b\u3092\u77e5\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\uff12\u3064\u306e\u78ba\u7387\u5206\u5e03\u306e\u985e\u4f3c\u5ea6\u3092\u8868\u3059\u5c3a\u5ea6\u3068\u3057\u3066\u3001\u30ab\u30eb\u30d0\u30c3\u30af\u30fb\u30e9\u30a4\u30d6\u30e9\u30fc (KL)\u60c5\u5831\u91cf\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u78ba\u7387\u5206\u5e03$ P(\\sigma), Q(\\sigma) $\u3068\u3059\u308b\u3068\u3001KL\u60c5\u5831\u91cf\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>D_{K L}(P \\mid Q)=\\sum_{\\sigma} P(\\boldsymbol{\\sigma}) \\log<br>\\left(\\frac{P(\\boldsymbol{\\sigma})}{Q(\\boldsymbol{\\sigma})}\\right)<br>\\end{equation}<\/p>\n\n\n\n<p>KL\u60c5\u5831\u91cf$ D_{K L}(P \\mid Q) $ \u306f\u5e38\u306b\u8ca0\u3067\u306a\u3044\u5024\u3092\u6301\u3061\u3001 $ P = Q $ \u306e\u5834\u5408\u306e\u307f $D_{K L}(P \\mid Q) = 0$\u3068\u306a\u308a\u307e\u3059\u3002 2\u3064\u306e\u78ba\u7387\u5206\u5e03\u304c\u5dee\u7570\u304c\u5927\u304d\u3044\u5834\u5408\u306f\u3001KL\u60c5\u5831\u91cf\u306f\u5927\u304d\u3044\u5024\u3092\u3068\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u3001$ P(\\sigma) $\u306b\u7d4c\u9a13\u5206\u5e03\u3001$Q(\\sigma)$\u306b\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>D_{K L}\\left(P_{D}(\\boldsymbol{\\sigma}) \\mid P(\\boldsymbol{\\sigma} \\mid<br>\\boldsymbol{u})\\right)=\\sum_{\\sigma} P_{D}(\\boldsymbol{\\sigma}) \\log P_{D}(\\boldsymbol{\\sigma})-\\sum_{\\sigma}<br>P_{D}(\\boldsymbol{\\sigma}) \\log P(\\boldsymbol{\\sigma} \\mid \\boldsymbol{u})<br>\\end{equation}<\/p>\n\n\n\n<p>\u30d1\u30e9\u30e1\u30fc\u30bf\u306b\u95a2\u3059\u308b\u90e8\u5206\u306f\u7b2c\uff12\u9805\u306e\u307f\u306a\u306e\u3067\u3001$ D_{KL} $\u3092\u6700\u5c0f\u5316\u3059\u308b\u306b\u306f\u3001\u7b2c\uff12\u9805\u3092\u6700\u5927\u5316\u3059\u308c\u3070\u3088\u3044\u3068\u3044\u3046\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002\u7b2c\uff12\u9805\u3092$ L(u) $\u3068\u3057\u3001$P_{D}(\\sigma)$\u306b\u7d4c\u9a13\u5206\u5e03\u3092\u4ee3\u5165\u3059\u308b\u3068\u3001<\/p>\n\n\n\n<p>\\begin{equation}<br>L(\\boldsymbol{u})=\\frac{1}{D} \\sum_{d=1}^{D} \\log<br>P\\left(\\boldsymbol{\\sigma}=\\boldsymbol{\\sigma}^{(d)} \\mid \\boldsymbol{u}\\right)<br>\\end{equation}<\/p>\n\n\n\n<p>\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u306e$ L(u) $\u3092\u5bfe\u6570\u5c24\u5ea6\u95a2\u6570\u3068\u3044\u3044\u307e\u3059\u3002$ L(u) $\u3092\u6700\u5927\u5316\u3059\u308b\u305f\u3081\u306b\u7528\u3044\u308b\u624b\u6cd5\u304c\u52fe\u914d\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>\\boldsymbol{u}[t+1]=\\boldsymbol{u}[t]+\\eta \\frac{\\partial L(\\boldsymbol{u})}{\\partial<br>\\boldsymbol{u}}<br>\\end{equation}<\/p>\n\n\n\n<p>\u3053\u306e\u5f0f\u3092\u7528\u3044\u3066\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u5bfe\u6570\u5c24\u5ea6\u95a2\u6570$ L(u) $\u306e\u504f\u5fae\u5206\u306f\u6b21\u5f0f\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>\\frac{\\partial L(\\boldsymbol{u})}{\\partial \\boldsymbol{u}}=-\\frac{1}{D} \\sum_{d=1}^{D}<br>\\frac{\\partial H \\left(\\boldsymbol{\\sigma}=\\boldsymbol{\\sigma}^{(d)} \\mid \\boldsymbol{u}\\right)}{\\partial<br>\\boldsymbol{u}}+\\left\\langle\\frac{\\partial H(\\boldsymbol{\\sigma} \\mid \\boldsymbol{u})}{\\partial<br>\\boldsymbol{u}}\\right\\rangle_{\\boldsymbol{u}}<br>\\end{equation}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\u7b2c2\u9805\u306f\u30ae\u30d6\u30b9\uff65\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u304b\u3089\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u3088\u308b\u5e73\u5747\u5024\u27e8\uff65\uff65\uff65\u27e9<sub>\ud835\udc96<\/sub>\u3092\u6301\u3064\u306e\u3067\u4e00\u822c\u306b\u306f\u8a08\u7b97\u304c\u96e3\u3057\u304f\u3001MCMC\u306a\u3069\u306e\u624b\u6cd5\u304c\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u4e0a\u8ff0\u3057\u305f\u3088\u3046\u306bMCMC\u306f\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306b\u6642\u9593\u304c\u304b\u304b\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001D-Wave\u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3044\u3001\u5e73\u5747\u5024\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%96%B9%E6%B3%95\"><\/span>\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%94%BB%E5%83%8F%E3%81%AE%E7%94%9F%E6%88%90%E3%83%BB%E5%BE%A9%E5%85%83\"><\/span>\u753b\u50cf\u306e\u751f\u6210\u30fb\u5fa9\u5143<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/1\/medium\"><img decoding=\"async\" src=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/1\/medium\" alt=\"\"\/><\/a><figcaption>\u56f32. \u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306bD-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u305f\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2 ( <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevX.7.041052\">10.1103\/PhysRevX.7.041052<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u56f32(a)<br>\u306f\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u306e\u5168\u4f53\u50cf\u3067\u3059\u3002\u30d1\u30e9\u30e1\u30fc\u30bf\u3092D-Wave\u30de\u30b7\u30f3\u306b\u5165\u529b\u3059\u308b\u3068\u3001\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u306b\u5f93\u3046\u51fa\u529b\u304c\u5f97\u3089\u308c\u307e\u3059\u3002\u3053\u308c\u3068\u753b\u50cf\u30c7\u30fc\u30bf\u3092\u6bd4\u8f03\u3057\u3066\u52fe\u914d\u6cd5\u3092\u884c\u3044\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u3066\u3044\u304d\u307e\u3059\u3002\u5177\u4f53\u7684\u306b\u306f\u6b21\u306e\u3088\u3046\u306b\u5b66\u7fd2\u3092\u884c\u3044\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u30012\u3064\u306e\u78ba\u7387\u5206\u5e03\u306e\u985e\u4f3c\u5ea6\u3092\u8868\u3059\u305f\u3081\u306b\u3001KL\u60c5\u5831\u91cf\u3067\u306f\u306a\u304f\u91cf\u5b50\u76f8\u5bfe\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc$S$\u3092\u7528\u3044\u307e\u3059\u3002$S$\u306e\u5024\u304c\u5c0f\u3055\u3044\u307b\u3069\u30012\u3064\u306e\u78ba\u7387\u5206\u5e03\u306f\u4f3c\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>S\\left(\\rho_{\\mathcal{D}} \\| \\rho\\right)=Tr \\rho_{\\mathcal{D}} \\ln \\rho_{\\mathcal{D}}-Tr<br>\\rho_{\\mathcal{D}} \\ln \\rho<br>\\end{equation}<\/p>\n\n\n\n<p>\u305f\u3060\u3057\u3001$ \\rho_{D} $ \u306f\u30c7\u30fc\u30bf\u306e\u7d4c\u9a13\u5206\u5e03\u3092\u8868\u3059\u5bc6\u5ea6\u884c\u5217\u3001$ \\rho $ \u306f\u30ae\u30d6\u30b9\u30fb\u30dc\u30eb\u30c4\u30de\u30f3\u5206\u5e03\u3092\u8868\u3059\u5bc6\u5ea6\u884c\u5217\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>$ S $\u3092\u6700\u5c0f\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u52fe\u914d\u6cd5\u3092\u7528\u3044\u3066\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u66f4\u65b0\u3057\u3001\u3053\u308c\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>\\begin{aligned}<br>&amp;J_{i j}^{(k l)}(t+1)=J_{i j}^{(k l)}(t)+\\eta \\frac{\\partial<br>S}{\\partial J_{i j}^{(k l)}} \\\\<br>&amp;h_{i}^{(k)}(t+1)=h_{i}^{(k)}(t)+\\eta \\frac{\\partial S}{\\partial<br>h_{i}^{(k)}}<br>\\end{aligned}<br>\\end{equation}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001$ k, l $ \u306f\u5404\u30c7\u30fc\u30bf\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u4ee5\u4e0a\u304c\u3001\u753b\u50cf\u30c7\u30fc\u30bf\u3092\u5b66\u7fd2\u3059\u308b\u65b9\u6cd5\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u7d9a\u3044\u3066\u3001\u753b\u50cf\u30c7\u30fc\u30bf\u306b\u6b20\u640d\u7b87\u6240\u304c\u3042\u308b\u5834\u5408\u306e\u5fa9\u5143\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u5168\u4f53\u50cf\u306f \u56f32 (b) \u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305a\u3001\u6b20\u640d\u3057\u305f\u90e8\u5206\u4ee5\u5916\u3092\u5c40\u6240\u78c1\u5834\u3067\u56fa\u5b9a\u3057\u307e\u3059\u3002\u305d\u308c\u3068\u540c\u6642\u306b\u3001\u56f32 (a) \u3067\u5b66\u7fd2\u6e08\u307f\u306e\u30d1\u30e9\u30e1\u30fc\u30bf (\u76f8\u4e92\u4f5c\u7528)<br>\u3092D-Wave\u30de\u30b7\u30f3\u306b\u5165\u529b\u3057\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u6b20\u640d\u3057\u305f\u300c2\u300d\u306e\u753b\u50cf\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059 (\u56f33)\u3002<\/p>\n\n\n\n<div class=\"wp-block-image wp-image-2123\"><figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/01\/3b8a3765fddbd3c6c8a4316280ad09d7-1024x730.png\" alt=\"\" class=\"wp-image-2123\" width=\"-198\" height=\"-141\"\/><figcaption>\u56f33. \u30c7\u30fc\u30bf\u306b\u6b20\u640d\u304c\u3042\u308b\u5834\u5408\u306eD-Wave \u30de\u30b7\u30f3\u3078\u306e\u5b9f\u88c5\u65b9\u6cd5\u3002\u8d64\u90e8\u5206\u306f\u60c5\u5831\u304c\u6b20\u640d\u3057\u3066\u3044\u308b\u7b87\u6240\u3002<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u65e2\u77e5\u306e\u30c7\u30fc\u30bf\u304a\u3088\u3073\u5b66\u7fd2\u6e08\u307f\u306e\u76f8\u4e92\u4f5c\u7528\u306b\u3088\u3063\u3066\u3001\u6b20\u640d\u7b87\u6240\u306e\u30b9\u30d4\u30f3\u5024 ($ \\pm 1 $) \u304c\u6c7a\u5b9a\u3057\u3001\u5fa9\u5143\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93%E3%83%BB%E7%B5%90%E6%9E%9C\"><\/span>\u5b9f\u9a13\u30fb\u7d50\u679c<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3067\u306f\u30013\u7a2e\u985e\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u5b9f\u9a13\u3092\u884c\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_%E6%89%8B%E6%9B%B8%E3%81%8D%E6%95%B0%E5%AD%97%E3%81%AE%E5%AD%A6%E7%BF%92_%E2%80%93_OptDigits\"><\/span>(1) \u624b\u66f8\u304d\u6570\u5b57\u306e\u5b66\u7fd2 &#8211; OptDigits<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u307e\u305a\u3001\u624b\u66f8\u304d\u6570\u5b57\u306e\u5c0f\u3055\u3044\u753b\u50cf\u3092\u5b66\u7fd2\u3067\u304d\u308b\u304b\u691c\u8a3c\u3057\u307e\u3059\u3002\u4f7f\u7528\u53ef\u80fd\u306a\u5909\u6570\u306b\u5236\u9650\u304c\u3042\u308b\u305f\u3081\u3001\u753b\u50cf\u306e\u30c8\u30ea\u30df\u30f3\u30b0\u3092\u884c\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u3057\u304d\u3044\u5024\u30924\u3068\u3057\u3066$ \\pm 1 $ \u306e2\u5909\u6570\u306b\u5909\u63db\u3092\u3057\u3066\u3044\u307e\u3059 (\u56f34)\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/3\/medium\"><img decoding=\"async\" src=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/3\/medium\" alt=\"\"\/><\/a><figcaption>\u56f34. OptDigits \u306e\u4e8c\u5024\u30c7\u30fc\u30bf\u3078\u306e\u5909\u63db( <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevX.7.041052\">10.1103\/PhysRevX.7.041052<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u7d9a\u3044\u3066\u3001\u63d0\u6848\u624b\u6cd5\u3092\u7528\u3044\u3066\u5b66\u7fd2\u3092\u884c\u3044\u307e\u3059\u3002\u305d\u308c\u306b\u52a0\u3048\u3001\u5b66\u7fd2\u6027\u80fd\u3092\u691c\u8a3c\u3059\u308b\u305f\u3081\u306b\u753b\u50cf\u306e\u5fa9\u5143\u3092\u884c\u3044\u307e\u3059\u3002\u7d50\u679c\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/4\/medium\"><img decoding=\"async\" src=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/4\/medium\" alt=\"\"\/><\/a><figcaption>\u56f35. OptDigits \u306e\u5fa9\u5143\u7d50\u679c\u3002(a)\u306f\u30c6\u30b9\u30c8\u30bb\u30c3\u30c8\u3001(b) \u306f\u8d64\u7b87\u6240\u306b\u6b20\u640d\u3092\u542b\u3080\u30c7\u30fc\u30bf\u3067\u3042\u308b\u3002 (c) &#8211; (d) \u306f\u305d\u308c\u305e\u308c1, 10, 100, 6000<br>\u56de\u5b66\u7fd2\u3057\u305f\u7d50\u679c\u3067\u3042\u308b\u3002( <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevX.7.041052\">10.1103\/PhysRevX.7.041052<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u56f35 (a) \u306f\u30c6\u30b9\u30c8\u30bb\u30c3\u30c8\u306e\u753b\u50cf\u3067\u3059\u3002\u3053\u306e\u753b\u50cf\u306b\u5bfe\u3057\u3066\u3001\u30e9\u30f3\u30c0\u30e0\u306b50%\u306e\u60c5\u5831\u3092\u6b20\u640d\u3055\u305b\u305f\u306e\u304c(b)\u3067\u3059\u30021\u56de\u5b66\u7fd2\u3059\u308b\u3068\u56f35 (c)<br>\u306e\u3088\u3046\u306b\u6570\u5b57\u3068\u306f\u8a8d\u8b58\u3057\u96e3\u3044\u753b\u50cf\u304c\u5fa9\u5143\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002\u3053\u3053\u304b\u3089\u5b66\u7fd2\u56de\u6570\u3092\u5897\u3084\u3057\u3066\u3044\u304f\u3068\u3001(d)-(f)\u306e\u3088\u3046\u306b\u5fa9\u5143\u3055\u308c\u307e\u3059\u3002(a)\u3068(f)\u3092\u6bd4\u8f03\u3059\u308b\u3068\u3001\u304a\u304a\u3088\u305d\u5fa9\u5143\u3067\u304d\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u3053\u308c\u4ee5\u4e0a\u5b66\u7fd2\u3092\u7e70\u308a\u8fd4\u3059\u3068\u3001D-Wave\u30de\u30b7\u30f3\u306e\u30c0\u30a4\u30ca\u30df\u30c3\u30af\u30ec\u30f3\u30b8\u3092\u8d85\u3048\u3066\u3057\u307e\u3046\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u3042\u308b\u305f\u3081\u30016000\u56de\u3067\u5b66\u7fd2\u3092\u505c\u6b62\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u4eca\u56de\u7528\u3044\u305f\u624b\u66f8\u304d\u6570\u5b57\u306e\u30c7\u30fc\u30bf\u306b\u306f\u6b20\u640d\u7b87\u6240\u306b\u3088\u3063\u3066\u306f\u3001\u5fa9\u5143\u5148\u304c\u4e00\u610f\u7684\u306b\u5b9a\u307e\u3089\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image size-large wp-image-2612\"><figure class=\"aligncenter\"><img decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2022\/01\/93fd9073e36c60cb20d7a5e4e129fd09-1024x339.png\" alt=\"\" class=\"wp-image-2612\"\/><figcaption>\u56f36. \u5fa9\u5143\u306b\u8907\u6570\u306e\u53ef\u80fd\u6027\u304c\u3042\u308b\u4f8b<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u305d\u3053\u3067\u3001\u6b21\u306e\u691c\u8a3c\u3067\u306f\u5fa9\u5143\u304c\u6210\u529f\u3057\u3066\u3044\u308b\u306e\u304b\u3092\u660e\u78ba\u306b\u3059\u308b\u305f\u3081\u306b\u3001\u5fa9\u5143\u5148\u304c\u4e00\u610f\u7684\u306b\u5b9a\u307e\u308b\u3088\u3046\u306a\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_%E6%AD%A3%E8%A7%A3%E3%81%8C%E6%98%8E%E7%A2%BA%E3%81%AA%E3%83%87%E3%83%BC%E3%82%BF%E3%81%AE%E5%AD%A6%E7%BF%92_%E2%80%93_BAS\"><\/span>(2) \u6b63\u89e3\u304c\u660e\u78ba\u306a\u30c7\u30fc\u30bf\u306e\u5b66\u7fd2 &#8211; BAS<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>BAS\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306f\u3001$ 7 \\times 6 $ \u306e\u753b\u50cf\u3067\u69cb\u6210\u3055\u308c\u3001\u305d\u308c\u305e\u308c\u306e\u884c(\u5217)\u306b\u9ed2(-1)\u307e\u305f\u306f\u767d(+1)\u304c\u30e9\u30f3\u30c0\u30e0\u306b\u5857\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/5\/medium\"><img decoding=\"async\" src=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/5\/medium\" alt=\"\"\/><\/a><figcaption>\u56f37. BAS\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5fa9\u5143\u7d50\u679c\u3002(a)\u306f\u30c6\u30b9\u30c8\u30bb\u30c3\u30c8\u3001(b) \u306f\u8d64\u7b87\u6240\u306b\u6b20\u640d\u3092\u542b\u3080\u30c7\u30fc\u30bf\u3067\u3042\u308b\u3002 (c) &#8211; (d) \u306f\u305d\u308c\u305e\u308c1, 10, 100, 6000<br>\u56de\u5b66\u7fd2\u3057\u305f\u7d50\u679c\u3067\u3001\u8aa4\u308a\u3067\u3042\u308b\u30d4\u30af\u30bb\u30eb\u306e\u5e73\u5747\u306f\u305d\u308c\u305e\u308c50%, 18.6%, 2.95%, 0.65% \u3068\u306a\u3063\u305f\u3002( <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevX.7.041052\">10.1103\/PhysRevX.7.041052<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u7d50\u679c\u306e\u898b\u65b9\u306f\u3001OptDigits\u306e\u5834\u5408\u3068\u540c\u69d8\u3067\u3059\u3002BAS\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u3082\u5b66\u7fd2\u56de\u6570\u3092\u5897\u3084\u3059\u3053\u3068\u306b\u3088\u308a\u3001\u9ad8\u3044\u7cbe\u5ea6\u3067\u5fa9\u5143\u51fa\u6765\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u3002\u6700\u5f8c\u306b\u3001\u30e9\u30f3\u30c0\u30e0\u306a\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3067\u3082\u6b63\u3057\u304f\u5b66\u7fd2\u51fa\u6765\u308b\u306e\u304b\u691c\u8a3c\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_SK%E6%A8%A1%E5%9E%8B%E3%81%AE%E5%AD%A6%E7%BF%92\"><\/span>(3) SK\u6a21\u578b\u306e\u5b66\u7fd2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>SK\u6a21\u578b\u3068\u306f\u3001\u3059\u3079\u3066\u306e\u30b9\u30d4\u30f3\u9593\u306b\u5bfe\u3057\u3066\u540c\u3058\u78ba\u7387\u5206\u5e03\u306b\u5f93\u3063\u305f\u76f8\u4e92\u4f5c\u7528\u3092\u4e0e\u3048\u308b\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u3001$ N=15 $, $ h_{i}=0 $, \u9006\u6e29\u5ea6 $\\beta=1$, \u5e73\u5747 $ \\mu=0 $, \u6a19\u6e96\u504f\u5dee $ \\sigma=2\/\\sqrt{N} $\u3068\u3057\u3066\u3001$D=150$\u306e\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30bb\u30c3\u30c8\u3092\u4f5c\u6210\u3057\u307e\u3057\u305f\u3002\u3053\u3053\u3067\u306f\u5b66\u7fd2\u65b9\u6cd5\u3068\u3057\u3066\u3001\u53b3\u5bc6\u52fe\u914d\u3092\u7528\u3044\u308b\u65b9\u6cd5\u3001\u30b7\u30df\u30e5\u30ec\u30fc\u30c6\u30c3\u30c9\u30fb\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (SA) \u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0 (QA)<br>\u306e\uff13\u3064\u306e\u65b9\u6cd5\u3092\u7528\u3044\u307e\u3059\u3002QA\u306b\u95a2\u3057\u3066\u306f\u3001\u753b\u50cf\u306e\u5fa9\u5143\u3068\u540c\u69d8\u306bD-Wave\u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u5b66\u7fd2\u3092\u884c\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u5b66\u7fd2\u901f\u5ea6\u3092\u6bd4\u8f03\u3059\u308b\u305f\u3081\u306e\u5c3a\u5ea6\u3068\u3057\u3066\u3001\u6b21\u306e\u5e73\u5747\u5bfe\u6570\u5c24\u5ea6\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>\\begin{aligned}<br>\\Lambda_{\\mathrm{av}}(\\delta) &amp;= \\frac{1}{L} \\sum_{\\ell=1}^{L} \\log<br>Q\\left(\\mathbf{s}^{(\\ell)}\\right) \\\\<br>&amp;= -\\beta \\frac{1}{L} \\sum_{\\ell=1}^{L}<br>E\\left(\\mathbf{s}^{(\\ell)}\\right)-\\log Z(\\beta)<br>\\end{aligned}<br>\\end{equation}<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u306b\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter\"><a href=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/7\/medium\"><img decoding=\"async\" src=\"https:\/\/journals.aps.org\/prx\/article\/10.1103\/PhysRevX.7.041052\/figures\/7\/medium\" alt=\"\"\/><\/a><figcaption>\u56f38. \u5b66\u7fd2\u624b\u6cd5\u306e\u6bd4\u8f03\u3002 (a)\u306f\u5b66\u7fd2\u7387\u304c\u540c\u3058\u5834\u5408 \u3001(b)\u306f\u5b66\u7fd2\u7387\u3092\u5909\u3048\u308b\u5834\u5408\u3067\u3042\u308b\u3002( <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevX.7.041052\">10.1103\/PhysRevX.7.041052<\/a>)<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u7dd1\u306e\u5e2f\u304c\u30c8\u30ec\u30fc\u30cb\u30f3\u30b0\u30bb\u30c3\u30c8\u306e\u5024\u306a\u306e\u3067\u3001\u3053\u308c\u306b\u4e00\u81f4\u3059\u308c\u3070\u5b66\u7fd2\u304c\u6210\u529f\u3057\u305f\u3068\u8a00\u3048\u307e\u3059\u3002\u5b66\u7fd2\u7387\u304c\u540c\u3058\u5834\u5408 (\u56f38 (a)) \u3067\u306f\u3001\u53b3\u5bc6\u52fe\u914d\u3092\u7528\u3044\u305f\u65b9\u304cSA\u3088\u308a\u3082\u901f\u304f\u5b66\u7fd2\u51fa\u6765\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002\u4e00\u65b9\u3001\u5b66\u7fd2\u7387\u3092\u5909\u3048\u305f\u5834\u5408(\u56f38 (b))<br>\u3067\u306f\u3001\u53b3\u5bc6\u52fe\u914d\u3088\u308a\u3082QA\u306e\u65b9\u304c\u901f\u304f\u5b66\u7fd2\u3067\u304d\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span>\u7d50\u8ad6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4eca\u56de\u306fMCMC \u306e\u4ee3\u308f\u308a\u306b D-Wave \u30de\u30b7\u30f3\u3092\u7528\u3044\u3066\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3046\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u306e\u624b\u6cd5\u3092\u63d0\u6848\u3057\u307e\u3057\u305f\u3002\u5b9f\u9a13\u306e\u7d50\u679c\u3001\u63d0\u6848\u624b\u6cd5\u306b\u3088\u308a\u624b\u66f8\u304d\u6570\u5b57\u3084\u30e9\u30f3\u30c0\u30e0\u306a\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u3092\u5b66\u7fd2\u3067\u304d\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3067\u304d\u307e\u3057\u305f\u3002\u307e\u305f\u3001SK\u6a21\u578b\u306b\u3064\u3044\u3066\u306f\u53b3\u5bc6\u52fe\u914d\u3084SA\u3088\u308a\u3082D-Wave\u30de\u30b7\u30f3\u3092\u4f7f\u3063\u305f\u65b9\u304c\u901f\u304f\u5b66\u7fd2\u3067\u304d\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%B7%A8%E9%9B%86%E8%80%85%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span>\u7de8\u96c6\u8005\u3042\u3068\u304c\u304d<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u672c\u8ad6\u6587\u3092\u89e3\u8aac\u3059\u308b\u3053\u3068\u3067\u3001QA\u3068\u30dc\u30eb\u30c4\u30de\u30f3\u6a5f\u68b0\u5b66\u7fd2\u306e\u4e21\u65b9\u3092\u52c9\u5f37\u3059\u308b\u3053\u3068\u304c\u51fa\u6765\u307e\u3057\u305f\u3002\u6700\u9069\u5316\u306e\u305f\u3081\u306b\u4f5c\u3089\u308c\u305fD-Wave\u30de\u30b7\u30f3\u304c\u6700\u9069\u3067\u306a\u3044\u89e3\u3092\u8fd4\u3057\u3066\u3057\u307e\u3046\u3068\u3044\u3046\u77ed\u6240\u304c\u3001\u6a5f\u68b0\u5b66\u7fd2\u306e\u5206\u91ce\u3067\u6d3b\u304d\u308b\u3068\u3044\u3046\u30b9\u30c8\u30fc\u30ea\u30fc\u304c\u3068\u3066\u3082\u9762\u767d\u304b\u3063\u305f\u3067\u3059\u3002\u8ad6\u6587\u306b\u95a2\u3057\u3066\u306f\u3001MCMC\u3068\u3044\u3063\u305f\u5f93\u6765\u306e\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u624b\u6cd5\u3068\u6bd4\u3079\u3001\u3069\u308c\u304f\u3089\u3044D-Wave\u30de\u30b7\u30f3\u3092\u7528\u3044\u305f\u624b\u6cd5\u304c\u512a\u308c\u3066\u3044\u308b\u306e\u304b\u793a\u3055\u308c\u3066\u3044\u308c\u3070\u826f\u304b\u3063\u305f\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E6%96%87%E7%8C%AE\"><\/span>\u53c2\u8003\u6587\u732e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>[1]\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u57fa\u790e, \u897f\u68ee\u79c0\u7a14, \u5927\u95a2\u771f\u4e4b, 2018<\/p>\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%E6%8B%85%E5%BD%93%E8%80%85\"><\/span>\u672c\u8a18\u4e8b\u306e\u62c5\u5f53\u8005<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u9e7f\u5185\u601c\u592e (\u30e1\u30f3\u30bf\u30ea\u30f3\u30b0: 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