{"id":6321,"date":"2023-10-04T17:48:07","date_gmt":"2023-10-04T08:48:07","guid":{"rendered":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/?p=6321"},"modified":"2023-10-04T17:48:07","modified_gmt":"2023-10-04T08:48:07","slug":"nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7","status":"publish","type":"post","link":"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/","title":{"rendered":"NISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027"},"content":{"rendered":"<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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E6%A6%82%E8%A6%81\" >\u6982\u8981<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0\" >\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E9%87%8F%E5%AD%90%E4%BA%A4%E4%BA%92%E6%BC%94%E7%AE%97%E5%AD%90%E3%82%A2%E3%83%B3%E3%82%B6%E3%83%83%E3%83%84%EF%BC%88QAOA%EF%BC%89\" >\u91cf\u5b50\u4ea4\u4e92\u6f14\u7b97\u5b50\u30a2\u30f3\u30b6\u30c3\u30c4\uff08QAOA\uff09<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E9%87%8F%E5%AD%90%E3%83%9C%E3%83%AA%E3%83%A5%E3%83%BC%E3%83%A0%EF%BC%88Quantum_Volume_QV%EF%BC%89\" >\u91cf\u5b50\u30dc\u30ea\u30e5\u30fc\u30e0\uff08Quantum Volume : QV\uff09<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E5%AE%9F%E9%A8%93%E6%96%B9%E6%B3%95\" >\u5b9f\u9a13\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-8\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E3%83%86%E3%82%B9%E3%83%88%E5%9B%9E%E8%B7%AF\" >\u30c6\u30b9\u30c8\u56de\u8def<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#Number_of_Shots_to_Reject_Fair_Sampling_NSRFS\" >Number of Shots to Reject Fair Sampling : NSRFS<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#aggregate_error\" >aggregate error<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E7%B5%90%E6%9E%9C\" >\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-12\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E5%9F%BA%E5%BA%95%E7%8A%B6%E6%85%8B%E7%A2%BA%E7%8E%87%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7\" >\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#aggregate_error%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7\" >aggregate error\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/a><\/li><\/ul><\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E8%80%83%E5%AF%9F\" >\u8003\u5bdf<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E5%9F%BA%E5%BA%95%E7%8A%B6%E6%85%8B%E7%A2%BA%E7%8E%87%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7-2\" >\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#aggregate_error%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7-2\" >aggregate error\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%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-18\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#QAOA%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6\" >QAOA\u306b\u3064\u3044\u3066<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E9%87%8F%E5%AD%90%E7%8A%B6%E6%85%8B%E3%81%A8%E9%87%8D%E3%81%AD%E5%90%88%E3%82%8F%E3%81%9B%E3%81%AE%E5%8E%9F%E7%90%86\" >\u91cf\u5b50\u72b6\u614b\u3068\u91cd\u306d\u5408\u308f\u305b\u306e\u539f\u7406<\/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\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E3%83%96%E3%83%A9%E3%82%B1%E3%83%83%E3%83%88%E8%A8%98%E6%B3%95\" >\u30d6\u30e9\u30b1\u30c3\u30c8\u8a18\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E6%9C%9F%E5%BE%85%E5%80%A4\" >\u671f\u5f85\u5024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E5%A4%89%E5%88%86%E6%B3%95\" >\u5909\u5206\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E6%9C%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AB%E5%AF%BE%E3%81%99%E3%82%8BQAOA_Quantum_Approximate_Optimization_Algorithm\" >\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3059\u308bQAOA:Quantum Approximate Optimization Algorithm<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/qard.is.tohoku.ac.jp\/T-Wave\/2023\/10\/04\/nisq%e3%83%87%e3%83%90%e3%82%a4%e3%82%b9%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e3%83%95%e3%82%a7%e3%82%a2%e3%82%b5%e3%83%b3%e3%83%97%e3%83%aa%e3%83%b3%e3%82%b0%e6%80%a7\/#%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\" >\u3042\u3068\u304c\u304d<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%E6%96%87%E7%8C%AE%E6%83%85%E5%A0%B1\"><\/span><span style=\"font-weight: 400;\">\u6587\u732e\u60c5\u5831<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u30bf\u30a4\u30c8\u30eb<\/span> <span style=\"font-weight: 400;\">\uff1aFair Sampling Error Analysis on NISQ Devices<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u8457\u8005<\/span> <span style=\"font-weight: 400;\">\uff1aJohn Golden, Andreas B\u00e4rtschi, Daniel O\u2019Malley, Stephan Eidenbenz<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u66f8\u8a8c\u60c5\u5831<\/span> <span style=\"font-weight: 400;\">\uff1ahttps:\/\/doi.org\/10.1145\/3510857<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%A6%82%E8%A6%81\"><\/span>\u6982\u8981<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u3000\u91cf\u5b50\u4ea4\u4e92\u6f14\u7b97\u5b50\u30a2\u30f3\u30b6\u30c3\u30c4\uff08<\/span><span style=\"font-weight: 400;\">Quantum Alternating Operator Ansatz\uff1aQAOA<\/span><span style=\"font-weight: 400;\">\uff09\u306f\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3001Grover Mixier QAOA\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u306f\u7406\u8ad6\u7684\u306b\u3001\u5168\u3066\u306e\u8981\u7d20\u3092\u7b49\u78ba\u7387\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\uff08\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\uff09\u304c\u53ef\u80fd\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u5b9f\u969b\u306e\u30c7\u30d0\u30a4\u30b9\u306f\u30ce\u30a4\u30ba\u3042\u308a\u4e2d\u898f\u6a21\u91cf\u5b50\uff08Noisy Intermediate Scale Quantum\uff1aNISQ\uff09\u30c7\u30d0\u30a4\u30b9\u3068\u547c\u3070\u308c\u3001\u30ce\u30a4\u30ba\u304c\u5b58\u5728\u3057\u3066\u304a\u308a\u3001\u5b8c\u5168\u306a\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306f\u96e3\u3057\u3044\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000\u672c\u8ad6\u6587\u3067\u306fNISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308bGrover Mixier QAOA\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u73fe\u72b6\u306b\u3064\u3044\u3066\u8abf\u67fb\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%83%8C%E6%99%AF%E3%83%BB%E8%AA%B2%E9%A1%8C\"><\/span><span style=\"font-weight: 400;\">\u80cc\u666f\u30fb\u8ab2\u984c<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u3000\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3059\u308b\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u3068\u3057\u3066\u63d0\u6848\u3055\u308c\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306b\u5bfe\u3059\u308b\u76f4\u63a5\u7684\u306a\u624b\u6cd5\u3067\u306f\u6700\u9069\u89e3\u304c\u8907\u6570\u5b58\u5728\u3057\u305f\u5834\u5408\u3001\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\u304c\u4e0d\u53ef\u80fd\u3067\u3042\u308b\u3053\u3068\u304c\u5b9f\u9a13\u7684\u306b\u8a3c\u660e\u3055\u308c\u307e\u3057\u305f\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u5411\u4e0a\u3055\u305b\u308b\u624b\u6cd5\u3068\u3057\u3066\u3001\u3088\u308a\u8907\u96d1\u306a\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u5c0e\u5165\u3059\u308b\u624b\u6cd5\u304c\u63d0\u6848\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u30b7\u30b9\u30c6\u30e0\u7684\u306a\u504f\u308a\uff08\u30d0\u30a4\u30a2\u30b9\uff09\u304c\u6b8b\u3063\u3066\u3057\u307e\u3046\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000\u91cf\u5b50\u4ea4\u4e92\u6f14\u7b97\u5b50\u30a2\u30f3\u30b6\u30c3\u30c4\uff08<\/span><span style=\"font-weight: 400;\">Quantum Alternating Operator Ansatz\uff1aOAOA<\/span><span style=\"font-weight: 400;\">)<\/span><span style=\"font-weight: 400;\">\u3082\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3068\u540c\u69d8\u306b\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3042\u308b\u30d2\u30e5\u30fc\u30ea\u30b9\u30c6\u30a3\u30c3\u30af\u306a\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3059\u3002\u4e2d\u3067\u3082Grover Mixier QAOA\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u306f\u3001\u30ce\u30a4\u30ba\u306e\u306a\u3044\u7406\u60f3\u7684\u306a\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u7406\u8ad6\u7684\u306b\u4fdd\u8a3c\u3057\u307e\u3059\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u73fe\u5728\u306e\u30b2\u30fc\u30c8\u578b\u306e\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306f\u30ce\u30a4\u30ba\u3042\u308a\u4e2d\u898f\u6a21\u91cf\u5b50\uff08Noisy Intermediate Scale Quantum\uff1aNISQ\uff09\u30c7\u30d0\u30a4\u30b9\u3068\u547c\u3070\u308c\u3001\u30ce\u30a4\u30ba\u304c\u5b58\u5728\u3057\u3066\u3044\u307e\u3059\u3002\u672c\u8ad6\u6587\u3067\u306f\u73fe\u5728\u306eNISQ\u30c7\u30d0\u30a4\u30b9\u306eGrover Mixier QAOA\u306b\u3064\u3044\u3066\u3001\u30ce\u30a4\u30ba\u304c\u91cf\u5b50\u30d3\u30c3\u30c8\u306efidelity\uff08\u7cbe\u5ea6\uff09\u3068\u57fa\u5e95\u72b6\u614b\u9593\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u4e21\u65b9\u306b\u4e0e\u3048\u308b\u5f71\u97ff\u3092\u5206\u6790\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000\u4ee5\u4e0b\u306f\u672c\u6587\u3067\u7528\u3044\u3089\u308c\u308b\u7528\u8a9e\u3067\u3059\u3002<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0\"><\/span><span style=\"font-weight: 400;\">\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3068\u306f\u6bcd\u96c6\u56e3\u304b\u3089\u4e00\u90e8\u306e\u8981\u7d20\u3092\u62bd\u51fa\u3059\u308b\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3068\u306f\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u969b\u3001\u5168\u3066\u306e\u9078\u629e\u53ef\u80fd\u306a\u8981\u7d20\u3092\u7b49\u78ba\u7387\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u6700\u9069\u89e3\u3092\u504f\u308a\u306a\u304f\u63a2\u7d22\u3059\u308b\u3053\u3068\u304c\u53ef\u80fd\u3068\u306a\u308a\u307e\u3059\u3002\u9006\u306b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304c\u884c\u308f\u308c\u306a\u3044\u5834\u5408\u3001\u5168\u3066\u306e\u6700\u9069\u89e3\u3092\u63a2\u7d22\u3059\u308b\u3053\u3068\u304c\u4e0d\u53ef\u80fd\u3068\u306a\u308b\u5834\u5408\u304c\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%87%8F%E5%AD%90%E4%BA%A4%E4%BA%92%E6%BC%94%E7%AE%97%E5%AD%90%E3%82%A2%E3%83%B3%E3%82%B6%E3%83%83%E3%83%84%EF%BC%88QAOA%EF%BC%89\"><\/span><span style=\"font-weight: 400;\">\u91cf\u5b50\u4ea4\u4e92\u6f14\u7b97\u5b50\u30a2\u30f3\u30b6\u30c3\u30c4\uff08QAOA\uff09<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>QAOA\u306f<span style=\"font-weight: 400;\">\u30b2\u30fc\u30c8\u65b9\u5f0f\u306e\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u4e0a\u3067<\/span><span style=\"font-weight: 400;\">\u30e6\u30cb\u30bf\u30ea\u6f14\u7b97\u5b50US\uff08\u554f\u984c\u30a4\u30f3\u30b9\u30bf\u30f3\u30b9\u306e\u5168\u3066\u306e\u89e3\u306e\u91cd\u306d\u5408\u308f\u305b\u3092\u751f\u6210\uff09 \u306b\u5bfe\u3057\u30e6\u30cb\u30bf\u30ea\u6f14\u7b97\u5b50 UP(\u03b3k)\u3068\u6df7\u5408\u30e6\u30cb\u30bf\u30ea\u6f14\u7b97\u5b50 UM(\u03b2k) \u3092\u4ea4\u4e92\u306bp \u56de\u3092\u9069\u7528\u3057\u3001<\/span><span style=\"font-weight: 400;\">\u6700\u7d42\u7684\u306b\u8a08\u7b97\u57fa\u5e95\u3067\u306e\u6e2c\u5b9a\u3092\u884c\u3046\u3053\u3068\u3067\u5b9f\u884c\u3055\u308c\u307e\u3059\u3002\u5177\u4f53\u7684\u306aQAOA\u306e\u624b\u9806\u306b\u3064\u3044\u3066\u306f\u6700\u5f8c\u306e\u300c\u4ed8\u9332\u300d\u306b\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%87%8F%E5%AD%90%E3%83%9C%E3%83%AA%E3%83%A5%E3%83%BC%E3%83%A0%EF%BC%88Quantum_Volume_QV%EF%BC%89\"><\/span><span style=\"font-weight: 400;\">\u91cf\u5b50\u30dc\u30ea\u30e5\u30fc\u30e0\uff08Quantum Volume : QV\uff09<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u91cf\u5b50\u30dc\u30ea\u30e5\u30fc\u30e0\uff08Quantum Volume : QV\uff09\u3068\u306f\u3001NISQ\u30c7\u30d0\u30a4\u30b9\u306e\u6027\u80fd\u3092\u8a55\u4fa1\u3059\u308b\u6307\u6a19\u3067\u3042\u308a\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u30a8\u30e9\u30fc\u304c\u5c11\u306a\u3044\u307b\u3069\u9ad8\u3044\u6570\u5024\u3092\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%AE%9F%E9%A8%93%E6%96%B9%E6%B3%95\"><\/span><span style=\"font-weight: 400;\">\u5b9f\u9a13\u65b9\u6cd5<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u3000\u672c\u5b9f\u9a13\u3067\u306fIBM Q\u30b7\u30b9\u30c6\u30e0\uff08IBM\u793e\u304c\u63d0\u4f9b\u3059\u308b\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b5\u30fc\u30d3\u30b9\uff09\u3092qiskit\uff08IBM\u793e\u304c\u63d0\u4f9b\u3059\u308b\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u5411\u3051\u306e\u30d5\u30ec\u30fc\u30e0\u30ef\u30fc\u30af\u3067IBM Q\u3092\u64cd\u4f5c\u53ef\u80fd\uff09\u3092\u7528\u3044\u3066\u5b9f\u884c\u3057\u307e\u3059\u3002\u4ee5\u4e0b\u306b\u793a\u3059\u30c6\u30b9\u30c8\u554f\u984c\u3092\u89e3\u304f\u305f\u3081\u306e\u91cf\u5b50\u56de\u8def\u3092\u4f5c\u6210\u3057\u3001\u5404\u91cf\u5b50\u56de\u8def\u3054\u3068\u306b40,960\u56de\u306e\u30b7\u30e7\u30c3\u30c8\u3092\u53ce\u96c6\u3057\u307e\u3057\u305f\u3002\u96c6\u3081\u305f\u30c7\u30fc\u30bf\u304b\u3089NISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3068\u91cf\u5b50\u30d3\u30c3\u30c8\u306efidelity\u306e\u95a2\u4fc2\u3001\u3055\u3089\u306b\u306faggregate error\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066NISQ\u30c7\u30d0\u30a4\u30b9\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u691c\u8a3c\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E3%83%86%E3%82%B9%E3%83%88%E5%9B%9E%E8%B7%AF\"><\/span><span style=\"font-weight: 400;\">\u30c6\u30b9\u30c8\u56de\u8def<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u56f31\u306f\u6700\u9069\u89e3\u304c\u8907\u6570\u5b58\u5728\u3059\u308b\u554f\u984c\u306e\u4e00\u89a7\u3067\u3059\u3002\u5de6\u304b\u3089\u554f\u984c\u756a\u53f7\u3001<a href=\"\/T-Wave\/?p=2325\">\u30a4\u30b8\u30f3\u30b0\u6a21\u578b<\/a>$H_C=-\\sum J_{ij}Z_iZ_j$\u3001<a href=\"\/T-Wave\/?p=2325\">\u30a4\u30b8\u30f3\u30b0\u6a21\u578b<\/a>\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3001$q0=\u2191$\u3068\u3057\u305f\u5834\u5408\u306e\u57fa\u5e95\u72b6\u614b\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u6fc3\u3044\u8d64\u8272\u3001\u8584\u3044\u8d64\u8272\u306e\u30a8\u30c3\u30b8\u306f\u5f37\u78c1\u6027\u7d50\u5408$J_{ij}=+2,J_{ij}=+1$\u3092\u3001\u6fc3\u3044\u9752\u8272\u3001\u8584\u3044\u9752\u8272\u306e\u30a8\u30c3\u30b8\u306f\u53cd\u5f37\u78c1\u6027\u7d50\u5408$J_{ij}=-2,J_{ij}=-1$\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002\u306a\u304a\u3001$n$\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u554f\u984c\u306f$q0$\u3092$\u2191$\u306b\u56fa\u5b9a\u3059\u308b\u3053\u3068\u3067$n-1$\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u554f\u984c\u3068\u3057\u3066\u6271\u3046\u3053\u3068\u304c\u3067\u304d\u3001\u4f8b\u3048\u3070(a)\u554f\u984c\u306f4L,4T,5T\u56de\u8def\u3067\u89e3\u304f\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u56f33\u306f\u56f32\u306e\u554f\u984c\u3092\u5b9f\u30c7\u30d0\u30a4\u30b9\u306b\u53cd\u6620\u3055\u305b\u308b\u969b\u306e\u3001\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u69cb\u9020\u306e\u5019\u88dc\u3092\u8868\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2023\/06\/9dddd0d5aacfadf41785615ef773ad23-1024x822.png\" alt=\"\" width=\"1024\" height=\"822\" class=\"aligncenter wp-image-6471 size-large\" \/><\/p>\n<p style=\"text-align: center;\">\u56f31\uff1aNISQ\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u3067\u30c6\u30b9\u30c8\u3059\u308b\u7e2e\u9000\u3057\u305f\u57fa\u5e95\u72b6\u614b\u3092\u6301\u3064\u30a4\u30b8\u30f3\u30b0\u6a21\u578b<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2023\/06\/97a75491f1338e435c8497b418d1850a-300x45.png\" alt=\"\" width=\"793\" height=\"119\" class=\"aligncenter wp-image-6468\" \/><\/p>\n<p style=\"text-align: center;\">\u56f32\uff1a\u30c6\u30b9\u30c8\u554f\u984c\u3092\u57cb\u3081\u8fbc\u3080NISQ\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u69cb\u9020<\/p>\n<p>&nbsp;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Number_of_Shots_to_Reject_Fair_Sampling_NSRFS\"><\/span><span style=\"font-weight: 400;\">Number of Shots to Reject Fair Sampling : NSRFS<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000NSRFS\u306f\u30d4\u30a2\u30bd\u30f3\u306e\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u3092\u7528\u3044\u305f\u91cf\u5b50\u56de\u8def\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u793a\u3059\u6307\u6a19\u3067\u3059\u3002\u30d4\u30a2\u30bd\u30f3\u306e\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u3068\u306f\u3001\u5e30\u7121\u4eee\u8aac\u3068\u547c\u3070\u308c\u308b\u4eee\u8aac\u3068\u305d\u308c\u306b\u5bfe\u3059\u308b\u5bfe\u7acb\u4eee\u8aac\u3092\u8a2d\u5b9a\u3057\u3001\u30d4\u30a2\u30bd\u30f3\u306e\u30ab\u30a4\u4e8c\u4e57\u691c\u5b9a\u7d71\u8a08\u91cf\uff08\u5f0f(1)\uff09\u306f\u30ab\u30a4\u4e8c\u4e57\u5206\u5e03\u3068\u547c\u3070\u308c\u308b\u78ba\u7387\u5206\u5e03\u306b\u5f93\u3046\u3068\u4eee\u5b9a\u3057\u3066\u884c\u3046\u7d71\u8a08\u7684\u691c\u5b9a\u3067\u3059\u3002\u7d71\u8a08\u91cf\u3068\u78ba\u7387\u5206\u5e03\u306e\u5dee\u7570\u304c\u6709\u610f\u6c34\u6e96:$\u03b1$\u4ee5\u4e0b\u3067\u3042\u308c\u3070\u5e30\u7121\u4eee\u8aac\u3092\u63a1\u629e\u3057\u307e\u3059\u3002\u4e00\u65b9\u3067\u3001\u6709\u610f\u6c34\u6e96\u4ee5\u4e0a\u3067\u3042\u308c\u3070\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u5bfe\u7acb\u4eee\u8aac\u3092\u63a1\u629e\u3057\u307e\u3059\u3002\u5f0f(1)\u4e2d\u306e\u671f\u5f85\u5024E\u3068\u5b9f\u6e2c\u5024$O$\u306f\u5e30\u7121\u4eee\u8aac\u306e\u4e0b\u306b\u304a\u3051\u308b\u5024\u3067\u3059\u3002<\/span><\/p>\n<p>$$<br \/>\n\\chi^2 = \\sum_{i} \\frac{ \\left( O_{i} &#8211; E \\right)^2 }{E}<br \/>\n\\tag{1}<br \/>\n$$<\/p>\n<p><span style=\"font-weight: 400;\">\u4eca\u56de\u3001\u5e30\u7121\u4eee\u8aac\u3092\u300c\u91cf\u5b50\u56de\u8def\u306f\u5b8c\u5168\u306a\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u793a\u3059\u300d\u3068\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002\u4e00\u65b9\u3067\u5bfe\u7acb\u4eee\u8aac\u306f\u300c\u91cf\u5b50\u56de\u8def\u306f\u5b8c\u5168\u306a\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u793a\u3055\u306a\u3044\u300d\u3068\u8a2d\u5b9a\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u6642\u3001\u5e30\u7121\u4eee\u8aac\u306e\u4e0b\u306b\u304a\u3051\u308b\u671f\u5f85\u5024$E$\u306f\u3001\u56de\u8def\u306e\u7e2e\u9000\u3057\u305f\u57fa\u5e95\u72b6\u614b\u306e\u6570$d$\u3001\u89b3\u6e2c\u3055\u308c\u305f\u57fa\u5e95\u72b6\u614b\u6570$n_{g.s.}$\u3092\u7528\u3044\u3066\u5f0f(2)\u3067\u8868\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p>$$<br \/>\nE_{i} = E = \\frac{n_{g.s.}}{d}<br \/>\n\\tag{2}<br \/>\n$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"aggregate_error\"><\/span><span style=\"font-weight: 400;\">aggregate error<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000aggregate error\u306f\u7279\u5b9a\u306e\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u4e0a\u3067\u4e0e\u3048\u3089\u308c\u305f\u56de\u8def\u306e\u7cbe\u5ea6\u3092\u8868\u3059\u6307\u6a19\u3068\u3057\u3066\u6709\u52b9\u3067\u3042\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002IBM Q\u3092qiskit\u3067\u5b9f\u884c\u3059\u308b\u969b\u3001qiskit\u306f\u500b\u3005\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u6e2c\u5b9a\u8aa4\u5dee\u3068\u30cd\u30a4\u30c6\u30a3\u30d6\u30b2\u30fc\u30c8\u30bb\u30c3\u30c8\uff08CX, SX, RX, RZ\uff09\u306e\u8aa4\u5dee\u7387\u3092\u5831\u544a\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u7528\u3044\u3066\u3001\u91cf\u5b50\u30d3\u30c3\u30c8$q_1,&#8230;q_l$\u306b\u4f5c\u7528\u3059\u308b\u30b2\u30fc\u30c8$g_1,&#8230;,g_k$\u3092\u6301\u3064\u56de\u8defC\u306b\u3064\u3044\u3066\u3001\u30c1\u30c3\u30d7$H$\u4e0a\u3067\u8a55\u4fa1\u3055\u308c\u308b\u5834\u5408\u305d\u306eaggregate error$E_{CH}$\u3092\u5f0f(3)\u3067\u5b9a\u7fa9\u3057\u307e\u3059\u3002<\/span><\/p>\n<p>$$<br \/>\nE_{C,H} = 1- \\left(\\prod_{i=1}^k \\left(1-e_i \\right) \\right) \\left(\\prod_{i=1}^l \\left(1-m_i \\right) \\right)<br \/>\n\\tag{3}<br \/>\n$$<\/p>\n<p><span style=\"font-weight: 400;\">$e_i\u3001m_i$\u306f\u305d\u308c\u305e\u308cqiskit\u306b\u3088\u3063\u3066\u5831\u544a\u3055\u308c\u305f\u30b2\u30fc\u30c8$g_i$\u306e\u30a8\u30e9\u30fc\u7387\u3001\u91cf\u5b50\u30d3\u30c3\u30c8$q_i$\u306e\u6e2c\u5b9a\u8aa4\u5dee\u3067\u3059\u3002<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%B5%90%E6%9E%9C\"><\/span><span style=\"font-weight: 400;\">\u7d50\u679c<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E5%9F%BA%E5%BA%95%E7%8A%B6%E6%85%8B%E7%A2%BA%E7%8E%87%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7\"><\/span><span style=\"font-weight: 400;\">\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u56f33\u306f\u30c6\u30b9\u30c8\u554f\u984c(d)(e)(f)\u306b\u304a\u3051\u308b\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068NSRFS\u306e\u95a2\u4fc2\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002\u305d\u306e\u7d50\u679c\u3001\u3053\u306e\u4e8c\u3064\u306b\u306f\u6b63\u306e\u76f8\u95a2\u95a2\u4fc2\u304c\u3042\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u306e\u3088\u3046\u306a\u95a2\u4fc2\u3092\u300c\u30bd\u30d5\u30c8\u30a2\u30f3\u30d5\u30a7\u30a2\u300d\u3067\u3042\u308b\u3068\u3057\u3001\u30bd\u30d5\u30c8\u30a2\u30f3\u30d5\u30a7\u30a2\u306a\u56de\u8def\u3067\u306f\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u306e\u5411\u4e0a\u3068\u516c\u5e73\u306a\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u306f\u9ad8\u6027\u80fd\u306a\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u5b9f\u73fe\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2023\/06\/3144aa16011fb65c7d8ec9e234946934-300x106.png\" alt=\"\" width=\"663\" height=\"234\" class=\"wp-image-6466 aligncenter\" \/><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">\u56f33\uff1a(d),(e),(f)\u554f\u984c\u306b\u5bfe\u3059\u308b\u56de\u8def\u306e\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068NSRFS<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">\u9ed2\u7dda\uff1a\u56de\u5e30\u76f4\u7dda<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000\u56f34\u306f\u30c6\u30b9\u30c8\u554f\u984c(a)(b)(c)\u306b\u304a\u3051\u308b\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068NSRFS\u306e\u95a2\u4fc2\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002(a)\u554f\u984c\u306b\u5bfe\u3059\u308b4T\u56de\u8def\u306f\u30bd\u30d5\u30c8\u30a2\u30f3\u30d5\u30a7\u30a2\u306a\u6027\u8cea\u3092\u793a\u3057\u30014L\u56de\u8def\u306f\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068NSRFS\u306e\u9593\u306b\u76f8\u95a2\u3092\u793a\u3057\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u3057\u304b\u3057\u30015T\u56de\u8def\u3067\u306f\u305d\u306e\u4e8c\u3064\u306e\u9593\u306b\u8ca0\u306e\u76f8\u95a2\u95a2\u4fc2\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u9ad8\u3044\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068\u9ad8\u3044\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u540c\u6642\u306b\u5b9f\u73fe\u3067\u304d\u306a\u3044\u3053\u3068\u3092\u793a\u3057\u3066\u304a\u308a\u3001(b),(c)\u554f\u984c\u306b\u5bfe\u3059\u308b\u56de\u8def\u3067\u3082\u540c\u69d8\u306e\u7d50\u679c\u3068\u306a\u308a\u307e\u3057\u305f\u3002\u3053\u306e\u3088\u3046\u306a\u95a2\u4fc2\u3092\u300c\u30cf\u30fc\u30c9\u30a2\u30f3\u30d5\u30a7\u30a2\u300d\u3067\u3042\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000<img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2023\/06\/3f0bb655f153150f07a4f73ab7b2c0bd-1024x995.png\" alt=\"\" width=\"1024\" height=\"995\" class=\"size-large wp-image-6472 aligncenter\" \/><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">\u56f34\uff1a(a),(b),(c)\u554f\u984c\u306b\u5bfe\u3059\u308b\u56de\u8def\u306e\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068NSRFS<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">\u9ed2\u7dda\uff1a\u56de\u5e30\u76f4\u7dda<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"aggregate_error%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7\"><\/span><span style=\"font-weight: 400;\">aggregate error\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u56f35\u306f\u30cf\u30fc\u30c9\u30a2\u30f3\u30d5\u30a7\u30a2\u56de\u8def\uff08\u56de\u8def(b)\uff09\u3068\u30bd\u30d5\u30c8\u30a2\u30f3\u30d5\u30a7\u30a2\u56de\u8def\uff08\u56de\u8def(e)\uff09\u306b\u304a\u3051\u308baggregate error\u3068\u57fa\u5e95\u72b6\u614b\u78ba\u7387\uff08\u56f36\u5de6\uff09\u3001NSRFS\uff08\u56f36\u53f3\uff09\u306e\u95a2\u4fc2\u3092\u793a\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u56f36\u5de6\u306b\u793a\u3059\u7d50\u679c\u304b\u3089\u3001\u3044\u305a\u308c\u306e\u56de\u8def\u306b\u304a\u3044\u3066\u3082aggregate error\u306e\u5897\u52a0\u3068\u3068\u3082\u306b\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u306e\u4f4e\u4e0b\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u56f35\u53f3\u306b\u793a\u3059\u7d50\u679c\u306b\u3064\u3044\u3066\u3001\u554f\u984c(e)\u306b\u5bfe\u3059\u308b\u56de\u8def\u3067\u306faggregate error\u306e\u5897\u52a0\u3068\u3068\u3082\u306b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u304c\u4f4e\u4e0b\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u4e00\u65b9\u3001\u554f\u984c(b)\u306b\u5bfe\u3059\u308b\u56de\u8def\u3067\u306faggregate error\u306e\u5897\u52a0\u3068\u3068\u3082\u306b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u304c\u5897\u52a0\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u91cf\u5b50\u30dc\u30ea\u30e5\u30fc\u30e0\uff08Quantum Volume : QV\uff09\u3068aggregate error\u306b\u306f\u5f31\u3044\u6b63\u306e\u76f8\u95a2\u304c\u3042\u308b\u3053\u3068\u304c\u78ba\u8a8d\u3055\u308c\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2023\/06\/d38ac584af82305bbed3d7e89b5ede21-1024x894.png\" alt=\"\" width=\"1024\" height=\"894\" class=\"size-large wp-image-6473 aligncenter\" \/><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">\u56f35\uff1a\u554f\u984c(b),(e)\u306b\u5bfe\u3059\u308b\u56de\u8def\u306eaggregate error\u3068\u57fa\u5e95\u72b6\u614b\u78ba\u7387\uff08\u5de6\uff09\u3001NSRFS\uff08\u53f3\uff09<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\">\u9ed2\u7dda\uff1a\u56de\u5e30\u76f4\u7dda<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000\u56f36\u306f\u3059\u3079\u3066\u306e\u56de\u8def\u306b\u304a\u3051\u308baggregate error\u3068NSRFS\u306e\u95a2\u4fc2\u3092\u793a\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u3053\u306e\u7d50\u679c\u304b\u3089\u3001\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u306faggregate error\u304c\u6700\u3082\u5c0f\u3055\u3044\u6642\u306b\u6700\u3082\u9ad8\u304f\u3001\u307e\u305faggregate error\u304c\u304a\u3088\u305d0.5\u306b\u8fd1\u3065\u304f\u3068\u4f4e\u4e0b\u3057\u3001\u305d\u306e\u5f8c\u518d\u3073\u4e0a\u6607\u3059\u308b\u3053\u3068\u304c\u89b3\u5bdf\u3055\u308c\u307e\u3059\u3002\u3000<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"\/T-Wave\/wp-content\/uploads\/2023\/06\/8922849bf4e242dfd4a3070ff731c5de-1024x764.png\" alt=\"\" width=\"1024\" height=\"764\" class=\"aligncenter size-large wp-image-6474\" \/><\/p>\n<p><span style=\"font-weight: 400;\">\u56f36\uff1a\u3059\u3079\u3066\u306e\u554f\u984c\u306b\u5bfe\u3059\u308b\u56de\u8def\u306eaggregate error\u3068NSRFS<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u9ed2\u7dda\uff1a\u8fd1\u4f3c\u66f2\u7dda<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E8%80%83%E5%AF%9F\"><\/span><span style=\"font-weight: 400;\">\u8003\u5bdf<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E5%9F%BA%E5%BA%95%E7%8A%B6%E6%85%8B%E7%A2%BA%E7%8E%87%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7-2\"><\/span><span style=\"font-weight: 400;\">\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u30cf\u30fc\u30c9\u30a2\u30f3\u30d5\u30a7\u30a2\u306e\u539f\u56e0\u306f\u30ce\u30a4\u30ba\u306e\u591a\u3044\u91cf\u5b50\u30d3\u30c3\u30c8\u304c\u5927\u304d\u306a\u91cf\u5b50\u56de\u8def\u306b\u7d44\u307f\u8fbc\u307e\u308c\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u3088\u308a\u30e9\u30f3\u30c0\u30e0\u306a\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3092\u884c\u3046\u3053\u3068\u306b\u3088\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u57fa\u5e95\u72b6\u614b\u78ba\u7387\u306f\u4e0b\u304c\u308b\u3082\u306e\u306e\u3001\u9ad8\u3044\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u304c\u5f97\u3089\u308c\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"aggregate_error%E3%81%A8%E3%83%95%E3%82%A7%E3%82%A2%E3%82%B5%E3%83%B3%E3%83%97%E3%83%AA%E3%83%B3%E3%82%B0%E6%80%A7-2\"><\/span><span style=\"font-weight: 400;\">aggregate error\u3068\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">\u3000\u30bd\u30d5\u30c8\u30a2\u30f3\u30d5\u30a7\u30a2\u56de\u8def\u306b\u3064\u3044\u3066aggregate error\u3068NSRFS\u306b\u8ca0\u306e\u76f8\u95a2\u304c\u898b\u3089\u308c\u305f\u306e\u306f\u3001aggregate error\u306e\u5897\u52a0\u306b\u3088\u308a\u3001\u3042\u308b\u57fa\u5e95\u72b6\u614b\u304c\u4ed6\u306e\u57fa\u5e95\u72b6\u614b\u3088\u308a\u3082\u6709\u5229\u306b\u306a\u308b\u3088\u3046\u306a\u30d0\u30a4\u30a2\u30b9\u304c\u751f\u3058\u3066\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/span><span style=\"font-weight: 400;\">\u56f37\u306b\u793a\u3059\u7d50\u679c\u304b\u3089\u3001\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\u306e\u30d0\u30a4\u30a2\u30b9\u304caggregate error\u306e\u6307\u6a19\u306e\u4e2d\u592e\u3067\u652f\u914d\u7684\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3001\u3055\u3089\u306b\u30c7\u30d0\u30a4\u30b9\u306e\u30a8\u30e9\u30fc\u304c\u5897\u52a0\u3059\u308b\u3068\u5168\u4f53\u306e\u30d0\u30a4\u30a2\u30b9\u306f\u6253\u3061\u6d88\u3055\u308c\u3001\u305d\u306e\u7d50\u679c\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304c\u5b9f\u73fe\u3055\u308c\u3066\u3044\u308b\u3068\u8003\u3048\u3089\u308c\u307e\u3059\u3002<\/span><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E7%B5%90%E8%AB%96\"><\/span><span style=\"font-weight: 400;\"><\/span>\u7d50\u8ad6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u672c\u7814\u7a76\u3067\u306fNISQ\u30c7\u30d0\u30a4\u30b9\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u8a55\u4fa1\u3059\u308b\u305f\u3081\u306bNSRFS\u3068\u547c\u3070\u308c\u308b\u6307\u6a19\u3092\u5b9a\u7fa9\u3057\u307e\u3057\u305f\u3002NISQ\u30c7\u30d0\u30a4\u30b9\u306eNSRFS\u306b\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u7279\u5fb4\u304c\u898b\u3089\u308c\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li>3\u91cf\u5b50\u30d3\u30c3\u30c8\u3067\u69cb\u6210\u3055\u308c\u305f\u56de\u8def\u3067\u306f\u7cbe\u5ea6\u306e\u9ad8\u3044\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7528\u3044\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u9ad8\u3044\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u308b\uff08\u30bd\u30d5\u30c8\u30a2\u30f3\u30d5\u30a7\u30a2\uff09<\/li>\n<li>4\u91cf\u5b50\u30d3\u30c3\u30c8\u4ee5\u4e0a\u3067\u69cb\u6210\u3055\u308c\u305f\u56de\u8def\u3067\u306f\u7cbe\u5ea6\u306e\u9ad8\u3044\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7528\u3044\u3066\u3082\u9ad8\u3044\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u306a\u3044\uff08\u30cf\u30fc\u30c9\u30a2\u30f3\u30d5\u30a7\u30a2\uff09<\/li>\n<\/ul>\n<p>\u3055\u3089\u306b\u3001\u672c\u8ad6\u4e2d\u3067\u5b9a\u7fa9\u3057\u305f\u56de\u8def\u306e\u7cbe\u5ea6\u3092\u8a55\u4fa1\u3059\u308baggregate error\u3068NSRFS\u306e\u9593\u306b\u306f\u7dda\u5f62\u306e\u95a2\u4fc2\u304c\u898b\u3089\u308c\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u7d50\u679c\u304b\u3089\u3001NISQ\u56de\u8def\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u306b\u306f\u56de\u8def\u5185\u90e8\u306e\u504f\u308a\u304c\u304a\u4e92\u3044\u306b\u6253\u3061\u6d88\u3057\u3042\u3044\u3001\u5168\u4f53\u3068\u3057\u3066\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304c\u5b9f\u73fe\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n<h2><span class=\"ez-toc-section\" id=\"QAOA%E3%81%AB%E3%81%A4%E3%81%84%E3%81%A6\"><\/span>QAOA\u306b\u3064\u3044\u3066<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<details>\n<summary>\u4ed8\u9332<\/summary>\n<p>\u4ee5\u4e0b\u3067\u306fQAOA\u306b\u3088\u3063\u3066\u6700\u9069\u89e3\u304c\u6c42\u3081\u3089\u308c\u308b\u7406\u7531\u3092\u3001\u5468\u8fba\u306e\u77e5\u8b58\u3082\u5408\u308f\u305b\u3066\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E9%87%8F%E5%AD%90%E7%8A%B6%E6%85%8B%E3%81%A8%E9%87%8D%E3%81%AD%E5%90%88%E3%82%8F%E3%81%9B%E3%81%AE%E5%8E%9F%E7%90%86\"><\/span>\u91cf\u5b50\u72b6\u614b\u3068\u91cd\u306d\u5408\u308f\u305b\u306e\u539f\u7406<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u91cf\u5b50\u72b6\u614b\u306f\u6ce2\u52d5\u95a2\u6570$\\psi$\u306b\u3088\u3063\u3066\u8868\u3055\u308c\u307e\u3059\u3002\u3042\u308b\u91cf\u5b50\u72b6\u614b$\\psi$\u306f\u5225\u306e\u91cf\u5b50\u72b6\u614b$\\psi_1, \\psi_2, \\cdots, \\psi_n$\u306e\u7dda\u578b\u7d50\u5408\uff09\u3067\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\uff08\u91cd\u306d\u5408\u308f\u305b\u306e\u539f\u7406\uff09<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\psi = \\sum_{i}^{n} c_{i} \\psi_{i} = \\sum_{i} a_{i} \\quad(c_{i} \\in C)<br \/>\n\\end{align}<br \/>\n\\tag{4}<br \/>\n$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E3%83%96%E3%83%A9%E3%82%B1%E3%83%83%E3%83%88%E8%A8%98%E6%B3%95\"><\/span>\u30d6\u30e9\u30b1\u30c3\u30c8\u8a18\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u91cf\u5b50\u529b\u5b66\u306b\u304a\u3044\u3066\u91cf\u5b50\u72b6\u614b\u3092\u8a18\u8ff0\u3059\u308b\u305f\u3081\u306e\u8a18\u6cd5\u3067\u3059\u3002\u3042\u308b\u91cf\u5b50\u72b6\u614b\u304c\u8907\u6570\u306e\u91cf\u5b50\u72b6\u614b\u306e\u7dda\u578b\u7d50\u5408\u3067\u8868\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u306e\u8981\u7d20\u3092\u5217\u30d9\u30af\u30c8\u30eb\u306e\u8981\u7d20\u3068\u3057\u3066\u4e26\u3079\u305f\u3082\u306e\u304c\u30d6\u30e9\u30b1\u30c3\u30c8\u8a18\u6cd5\u3067\u8868\u3059\u3082\u306e\u3067\u3059\u3002<br \/>\n\u6b21\u306e\u5f0f\u306f\u30b1\u30c3\u30c8\u30d9\u30af\u30c8\u30eb\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3059\u3002\u91cf\u5b50\u72b6\u614b\u3092\u8868\u3059\u30d9\u30af\u30c8\u30eb\u3067\u3042\u308b\u3053\u3068\u304b\u3089\u72b6\u614b\u30d9\u30af\u30c8\u30eb\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\label{ket}<br \/>\n\\ket{\\psi} = (a_0, a_1, \\cdots, a_n)^\\top<br \/>\n\\end{align}<br \/>\n\\tag{5}<br \/>\n$$<br \/>\n\u30b1\u30c3\u30c8\u30d9\u30af\u30c8\u30eb\u306e\u968f\u4f34\u884c\u5217\uff08\u884c\u5217A\u306e\u5404\u8981\u7d20\u3092\u8907\u7d20\u5171\u5f79\u306a\u6570\u3092\u3068\u308a\u3001\u3055\u3089\u306b\u884c\u5217\u306b\u8ee2\u7f6e\u3092\u65bd\u3057\u305f\u3082\u306e\uff09\u306f\u30d6\u30e9\u30d9\u30af\u30c8\u30eb\u3068\u547c\u3070\u308c\u3001\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\label{bra}<br \/>\n\\bra{\\psi} = \\ket{\\psi}^{\\dagger} = (a_0^*, a_1^*, \\cdots, a_n^*)<br \/>\n\\end{align}<br \/>\n\\tag{6}<br \/>\n$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E6%9C%9F%E5%BE%85%E5%80%A4\"><\/span>\u671f\u5f85\u5024<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u53e4\u5178\u7684\u306a\u7cfb\u306e\u7269\u7406\u91cf$A$\u306e\u671f\u5f85\u5024$\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}} \\ev{A}$\u306f\u3001\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570$P(x)$\u3092\u7528\u3044\u3066\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\label{exp}<br \/>\n\\ev{A} = \\int_{-\\infty}^{\\infty} A P(x) dx<br \/>\n\\end{align}<br \/>\n\\tag{7}<br \/>\n$$<br \/>\n\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570$P(x)$\u306f\u4ee5\u4e0b\u306e\u898f\u683c\u5316\u6761\u4ef6\u3092\u6e80\u305f\u3057\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\label{norm}<br \/>\n\\int_{-\\infty}^{\\infty} P(x) dx = 1<br \/>\n\\end{align}<br \/>\n\\tag{8}<br \/>\n$$<br \/>\n\u3055\u3089\u306b\u3042\u308b\u91cf\u5b50\u72b6\u614b$\\ket{\\psi(x)}$\u306e\u78ba\u7387\u5bc6\u5ea6\u95a2\u6570$P(x)$\u306f\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\label{prob}<br \/>\nP(x) = \\ket{\\psi(x)}^* \\ket{\\psi(x)} = \\braket{\\psi(x)}{\\psi(x)}<br \/>\n\\end{align}<br \/>\n\\tag{9}<br \/>\n$$<br \/>\n\u5929\u4e0b\u308a\u7684\u3067\u306f\u3042\u308a\u307e\u3059\u304c\u3001\u7269\u7406\u91cf$A$\u304c\u91cf\u5b50\u7684\u306a\u7cfb\u306e\u5834\u5408\u306e\u671f\u5f85\u5024$\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}\\ev{A}$\u306f\u3001\u305d\u306e\u6f14\u7b97\u5b50\u3092$\\hat{A}$\u3068\u3057\u305f\u6642\u3001\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\label{exp_q}<br \/>\n\\ev{A}<br \/>\n&amp;= \\int_{-\\infty}^{\\infty} \\hat{A} P(x) dx\\\\<br \/>\n&amp;= \\hat{A} \\braket{\\psi(x)}{\\psi(x)}\\\\<br \/>\n\\end{align}<br \/>\n\\tag{10}<br \/>\n$$<br \/>\n\u3053\u3053\u3067\u3001\u6f14\u7b97\u5b50$\\hat{A}$\u304c$A$\u306b\u5bfe\u3059\u308b\u56fa\u6709\u5024\u3067\u3001$\\ket{\\psi(x)}$\u304c\u305d\u308c\u306b\u5bfe\u3059\u308b\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3060\u3068\u3059\u308b\u3068\u3001\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9\u3088\u308a\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u9593\u306b\u306f<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\label{equ:eigen}<br \/>\nA \\ket{\\psi(x)} = \\hat{A} \\ket{\\psi(x)}<br \/>\n\\end{align}<br \/>\n\\tag{11}<br \/>\n$$<br \/>\n\u304c\u6210\u7acb\u3059\u308b\u306e\u3067\u3001\u91cf\u5b50\u7684\u306a\u7269\u7406\u91cf$A$\u306e\u671f\u5f85\u5024$\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}\\ev{A}$\u306f\u6b21\u306e\u5f0f\u3067\u8868\u3055\u308c\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\def\\evv#1#2{\\mathinner{\\left\\langle{#2}|{#1}|{#2}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\label{equ:braket-exp-2}<br \/>\n\\begin{split}<br \/>\n\\ev{A}<br \/>\n&amp;= \\hat{A} \\braket{\\psi(x)}{\\psi(x)}\\\\<br \/>\n&amp;= \\evv{\\hat{A}}{\\psi(x)}\\\\<br \/>\n&amp;= \\evv{A}{\\psi(x)}\\\\<br \/>\n\\end{split}<br \/>\n\\end{align}<br \/>\ntag{12}<br \/>\n$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E5%A4%89%E5%88%86%E6%B3%95\"><\/span>\u5909\u5206\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3$H$\u306f\u30a8\u30eb\u30df\u30fc\u30c8\u884c\u5217\u3067\u3042\u308b\u305f\u3081\u3001\u305d\u306e\u56fa\u6709\u5024$\\lambda$\u306f\u5b9f\u6570\u3067\u3042\u308b\u3002\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3$H$\u306b\u5bfe\u3059\u308b\u56fa\u6709\u5024\u3092$E$\u3068\u3057\u3001\u305d\u308c\u306b\u5bfe\u3059\u308b\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092$\\ket{\\psi}$\u3068\u3059\u308b\u3002\u3055\u3089\u306b\u3001\u56fa\u6709\u5024\u306e\u6700\u5c0f\u5024\u3092$E_0$\u3068\u3057\u3001\u305d\u308c\u306b\u5bfe\u3059\u308b\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u3092$\\ket{\\psi_0}$\u3068\u3057\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u3001\u56fa\u6709\u5024\u3068\u56fa\u6709\u30d9\u30af\u30c8\u30eb\u306e\u95a2\u4fc2\u304b\u3089\u6b21\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\def\\evv#1#2{\\mathinner{\\left\\langle{#2}|{#1}|{#2}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\begin{split}<br \/>\nH\\ket{\\psi} &amp;= E\\ket{\\psi}\\\\<br \/>\nH\\ket{\\psi_0} &amp;= E_0\\ket{\\psi_0}<br \/>\n\\end{split}<br \/>\n\\end{align}<br \/>\n\\tag{13}<br \/>\n$$<br \/>\n$E_0$\u306f\u56fa\u6709\u5024\u306e\u6700\u5c0f\u5024\u3067\u3042\u308b\u305f\u3081$E \\ge E_0$\u3067\u3059\u3002\u3088\u3063\u3066\u4efb\u610f\u306e\u72b6\u614b$\\ket{\\psi}$\u306b\u5bfe\u3057\u3001\u6b21\u306e\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/p>\n<p>$$<br \/>\n\\def\\bra#1{\\mathinner{\\left\\langle{#1}\\right|}}<br \/>\n\\def\\ket#1{\\mathinner{\\left|{#1}\\right\\rangle}}<br \/>\n\\def\\braket#1#2{\\mathinner{\\left\\langle{#1}\\middle|#2\\right\\rangle}}<br \/>\n\\def\\ev#1{\\mathinner{\\left\\langle{#1}\\right\\rangle}}<br \/>\n\\def\\evv#1#2{\\mathinner{\\left\\langle{#2}|{#1}|{#2}\\right\\rangle}}<br \/>\n\\begin{align}<br \/>\n\\evv{H}{\\psi} \\ge E_0<br \/>\n\\end{align}<br \/>\n\\tag{14}<br \/>\n$$<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E6%9C%80%E9%81%A9%E5%8C%96%E5%95%8F%E9%A1%8C%E3%81%AB%E5%AF%BE%E3%81%99%E3%82%8BQAOA_Quantum_Approximate_Optimization_Algorithm\"><\/span>\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3059\u308bQAOA:Quantum Approximate Optimization Algorithm<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u4ee5\u4e0a\u3067\u8aac\u660e\u3057\u305f\u5185\u5bb9\u3092\u8e0f\u307e\u3048\u3001\u8ad6\u6587\u4e2d\u3067original approach\u3068\u7d39\u4ecb\u3055\u308c\u305f\u624b\u6cd5\u306b\u3064\u3044\u3066\u6574\u7406\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>step1<br \/>\n\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u5b9a\u5f0f\u5316\u3057\u76ee\u7684\u95a2\u6570$C(z)$\u3092\u4f5c\u6210<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\begin{split}<br \/>\nC(\\bm{z}) &amp;= \\sum_{\\alpha=1}^m C_{\\alpha}(\\bm{z})\\\\<br \/>\n\\bm{z} &amp;= (z_1, z_2, \\cdots, z_n)<br \/>\n\\end{split}<br \/>\n\\end{align}<br \/>\n\\tag{15}<br \/>\n$$<\/li>\n<li>step2<br \/>\n\u521d\u671f\u72b6\u614b<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\ket{\\psi} = \\frac{1}{\\sqrt{2^n}} \\sum_{\\bm{z}} \\ket{\\bm{z}}<br \/>\n\\end{align}<br \/>\n\\tag{16}<br \/>\n$$<br \/>\n\u3092\u4f5c\u6210<\/li>\n<li>step3<br \/>\n\u521d\u671f\u72b6\u614b\u306b\u4f5c\u7528\u3059\u308b\u30e6\u30cb\u30bf\u30ea\u6f14\u7b97\u5b50\u3092\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3059\u308b\u3002<br \/>\n$$<br \/>\n\\begin{align}<br \/>\nU(C,\\gamma) = e^{-i\\gamma C} = \\prod_{\\alpha=1}^m e^{-i\\gamma C_{\\alpha}}<br \/>\n\\end{align}<br \/>\n\\tag{17}<br \/>\n$$<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\begin{split}<br \/>\nU(C,\\beta) &amp;= e^{-i\\beta B} = \\prod_{j=1}^n e^{-i\\beta \\sigma_j^x}\\\\<br \/>\nB &amp;= \\sum_{j=1}^n X_j<br \/>\n\\end{split}<br \/>\n\\end{align}<br \/>\n\\tag{18}<br \/>\n$$<br \/>\n\u307e\u305f\u3001\u521d\u671f\u72b6\u614b\u306b\u5bfe\u3057\u305d\u308c\u305e\u308c$p$\u500b\u306e$U(C,\\gamma)$\u3068$U(C,\\beta)$\u3092\u9069\u7528\u3057\u305f\u3082\u306e\u3092\u6b21\u306e\u5f0f\u3067\u8868\u3057\u307e\u3059\u3002<br \/>\n$$<br \/>\n\\begin{align}<br \/>\n\\begin{split}<br \/>\n\\ket{\\bm{\\gamma}, \\bm{\\beta}} = U(B,\\beta_p)U(C,\\gamma_p) \\cdots U(B,\\beta_1)U(C,\\gamma_1) \\ket{\\psi}<br \/>\n\\end{split}<br \/>\n\\end{align}<br \/>\n\\tag{19}<br \/>\n$$<br \/>\n\u30d1\u30e9\u30e1\u30fc\u30bf$\\beta, \\gamma$\u306b\u5bfe\u3057\u3066\u4e0a\u5f0f\u3067\u5b9a\u7fa9\u3057\u305f$\\ket{\\bm{\\gamma}, \\bm{\\beta}}$\u3092\u91cf\u5b50\u56de\u8def\u4e0a\u3067\u8a2d\u8a08\u3057\u307e\u3059\u3002<\/li>\n<li>step4<br \/>\n$C(z)$\u306e\u671f\u5f85\u5024$\\def\\evv#1#2{\\mathinner{\\left\\langle{#2}|{#1}|{#2}\\right\\rangle}} \\evv{C(z)}{\\bm{\\gamma}, \\bm{\\beta}}$\u3092\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u3001\u53e4\u5178\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u3067$C(z)$\u306e\u671f\u5f85\u5024\u304c\u5c0f\u3055\u304f\u306a\u308b\u3088\u3046\u306b\u30d1\u30e9\u30e1\u30fc\u30bf$\\beta, \\gamma$\u3092\u66f4\u65b0\u3057\u307e\u3059\u3002<\/li>\n<li>step5<br \/>\nstep2~step4\u3092\u7e70\u308a\u8fd4\u3057\u3001\u6700\u9069\u306a\u30d1\u30e9\u30e1\u30fc\u30bf$\\beta&#8217;, \\gamma&#8217;$\u3092\u5f97\u307e\u3059\u3002\u5f97\u3089\u308c\u305f$\\beta&#8217;, \\gamma&#8217;$\u306b\u5bfe\u3057$\\ket{\\bm{\\gamma&#8217;}, \\bm{\\beta&#8217;}}$\u304b\u3089$\\bm{z}$\u3092\u53d6\u5f97\u3057\u3001\u3053\u308c\u304c\u6700\u9069\u5316\u554f\u984c\u306e\u89e3\u3068\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n<\/details>\n<h2><span class=\"ez-toc-section\" id=\"%E3%81%82%E3%81%A8%E3%81%8C%E3%81%8D\"><\/span><span style=\"font-weight: 400;\">\u3042\u3068\u304c\u304d<\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">\u3000\u91cf\u5b50\u56de\u8def\u306b\u89e6\u308c\u308b\u521d\u3081\u3066\u306e\u6a5f\u4f1a\u3067\u3001\u8aad\u307f\u9032\u3081\u308b\u306e\u306b\u96e3\u822a\u3057\u307e\u3057\u305f\u304c\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3068\u91cf\u5b50\u30b2\u30fc\u30c8\u306e\u9055\u3044\u3084\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u91cd\u8981\u6027\u3001\u7d71\u8a08\u7684\u691c\u5b9a\u306a\u3069\u5e83\u304f\u5b66\u3076\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u521d\u8aad\u306e\u6bb5\u968e\u3067\u306f\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u304c\u5b9f\u73fe\u3067\u304d\u308b\u3082\u306e\u3060\u3068\u601d\u3044\u8fbc\u3093\u3067\u3044\u307e\u3057\u305f\u3002\u8aad\u307f\u9032\u3081\u3066\u307f\u308b\u3068\u5b8c\u74a7\u306b\u306f\u5b9f\u73fe\u3067\u304d\u306a\u3044\u304c\u3001\u9ad8\u6027\u80fd\u306a\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7528\u3044\u305f\u5834\u5408\u3068\u3001\u9006\u306b\u4f4e\u6027\u80fd\u306a\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7528\u3044\u305f\u5834\u5408\u306b\u9ad8\u3044\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u3092\u5b9f\u73fe\u3067\u304d\u308b\u3068\u306e\u7d50\u8ad6\u306b\u81f3\u308a\u307e\u3057\u305f\u3002\u3053\u306e\u7d50\u8ad6\u306b\u6df7\u4e71\u3057\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u304c\u3001\u4f4e\u6027\u80fd\u306a\u91cf\u5b50\u30d3\u30c3\u30c8\u304c\u4e71\u6570\u751f\u6210\u6a5f\u306e\u3088\u3046\u306b\u632f\u308b\u821e\u3063\u3066\u3044\u308b\u3068\u98f2\u307f\u8fbc\u3080\u3053\u3068\u3067\u4e57\u308a\u8d8a\u3048\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u3000\u8ad6\u6587\u3067\u306f\u3053\u306e\u3088\u3046\u306a\u7d50\u679c\u306b\u306a\u3063\u3066\u3044\u308b\u3082\u306e\u306e\u3001\u56f37\u304b\u3089Error Rate\u306e\u5c0f\u3055\u3044\u91cf\u5b50\u56de\u8def\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\u306fError Rate\u306e\u5927\u304d\u3044\u305d\u308c\u3068\u6bd4\u3079\u3001\u660e\u3089\u304b\u306b\u6027\u80fd\u304c\u826f\u3044\u3088\u3046\u306b\u79c1\u306f\u898b\u3066\u53d6\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u306a\u304c\u3089\u3001\u672c\u6587\u3067\u3082\u6307\u6458\u3055\u308c\u3066\u3044\u305f\u901a\u308a\u91cf\u5b50\u30c7\u30d0\u30a4\u30b9\u3092\u8a55\u4fa1\u3059\u308b\u969b\u306b\u306fQV\u3060\u3051\u3067\u306f\u306a\u304f\u3001\u8907\u6570\u306e\u8a55\u4fa1\u57fa\u6e96\u3092\u7528\u3044\u3066\u5224\u65ad\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3042\u308b\u3068\u3044\u3046\u70b9\u306b\u3064\u3044\u3066\u306f\u7d0d\u5f97\u3057\u307e\u3057\u305f\u3002\u307e\u305f\u3001\u4eca\u56deQV\u3068\u3044\u3046\u6307\u6a19\u304c\u5c0e\u5165\u3055\u308c\u307e\u3057\u305f\u304c\u3001\u3053\u306e\u6307\u6a19\u306e\u6709\u7528\u6027\u306b\u3064\u3044\u3066\u3082\u52c9\u5f37\u3057\u305f\u3044\u3068\u601d\u3044\u307e\u3057\u305f\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u4ea4\u4e92\u6f14\u7b97\u5b50\u30a2\u30f3\u30b6\u30c3\u30c4\uff08Quantum Alternating Operator Ansatz\uff1aQAOA\uff09\u306f\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3001Grover Mixier QAOA\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u306f\u7406\u8ad6\u7684\u306b\u3001\u5168\u3066\u306e\u8981\u7d20\u3092\u7b49\u78ba\u7387\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\uff08\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\uff09\u304c\u53ef\u80fd\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u5b9f\u969b\u306e\u30c7\u30d0\u30a4\u30b9\u306f\u30ce\u30a4\u30ba\u3042\u308a\u4e2d\u898f\u6a21\u91cf\u5b50\uff08Noisy Intermediate Scale Quantum\uff1aNISQ\uff09\u30c7\u30d0\u30a4\u30b9\u3068\u547c\u3070\u308c\u3001\u30ce\u30a4\u30ba\u304c\u5b58\u5728\u3057\u3066\u304a\u308a\u3001\u5b8c\u5168\u306a\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306fNISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308bGrover Mixier QAOA\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u73fe\u72b6\u306b\u3064\u3044\u3066\u8abf\u67fb\u3057\u307e\u3059\u3002<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[28,62,112,126],"class_list":["post-6321","post","type-post","status-publish","format-standard","hentry","category-review","tag-nisq","tag-62","tag-112","tag-126"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>NISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027 - T-QARD Harbor<\/title>\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\/2023\/10\/04\/nisq\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308b\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u6027 - T-QARD Harbor\" \/>\n<meta property=\"og:description\" content=\"\u91cf\u5b50\u4ea4\u4e92\u6f14\u7b97\u5b50\u30a2\u30f3\u30b6\u30c3\u30c4\uff08Quantum Alternating Operator Ansatz\uff1aQAOA\uff09\u306f\u6700\u9069\u5316\u554f\u984c\u306b\u5bfe\u3057\u3066\u6709\u52b9\u3067\u3001Grover Mixier QAOA\u3068\u547c\u3070\u308c\u308b\u624b\u6cd5\u306f\u7406\u8ad6\u7684\u306b\u3001\u5168\u3066\u306e\u8981\u7d20\u3092\u7b49\u78ba\u7387\u3067\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3059\u308b\u3053\u3068\uff08\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\uff09\u304c\u53ef\u80fd\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u5b9f\u969b\u306e\u30c7\u30d0\u30a4\u30b9\u306f\u30ce\u30a4\u30ba\u3042\u308a\u4e2d\u898f\u6a21\u91cf\u5b50\uff08Noisy Intermediate Scale Quantum\uff1aNISQ\uff09\u30c7\u30d0\u30a4\u30b9\u3068\u547c\u3070\u308c\u3001\u30ce\u30a4\u30ba\u304c\u5b58\u5728\u3057\u3066\u304a\u308a\u3001\u5b8c\u5168\u306a\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306f\u96e3\u3057\u3044\u3067\u3059\u3002\u672c\u8ad6\u6587\u3067\u306fNISQ\u30c7\u30d0\u30a4\u30b9\u306b\u304a\u3051\u308bGrover Mixier QAOA\u306e\u30d5\u30a7\u30a2\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u306e\u73fe\u72b6\u306b\u3064\u3044\u3066\u8abf\u67fb\u3057\u307e\u3059\u3002\" \/>\n<meta property=\"og:url\" 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