{"id":3452,"date":"2026-02-02T17:52:47","date_gmt":"2026-02-02T08:52:47","guid":{"rendered":"https:\/\/blog.id774.net\/entry\/?p=3452"},"modified":"2026-03-26T23:52:31","modified_gmt":"2026-03-26T14:52:31","slug":"%e9%87%8f%e5%ad%90%e3%82%a2%e3%83%8b%e3%83%bc%e3%83%aa%e3%83%b3%e3%82%b0%e3%81%af%e4%bd%95%e3%82%92%e8%a8%88%e7%ae%97%e3%81%97%e3%81%a6%e3%81%84%e3%82%8b%e3%81%ae%e3%81%8b","status":"publish","type":"post","link":"https:\/\/blog.id774.net\/entry\/2026\/02\/02\/3452\/","title":{"rendered":"\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u4f55\u3092\u8a08\u7b97\u3057\u3066\u3044\u308b\u306e\u304b"},"content":{"rendered":"

\u524d\u56de\u306e\u8a18\u4e8b<\/a>\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<\/a>\uff08Quantum Annealing\uff09\u3092\u300c\u73fe\u5834\u306e\u6700\u9069\u5316\u554f\u984c\u3092 QUBO \/ Ising \u306b\u7ffb\u8a33\u3057\u3001\u91cf\u5b50\u63fa\u3089\u304e\u3092\u4f7f\u3063\u3066\u63a2\u7d22\u3059\u308b\u9053\u5177\u300d\u3068\u3057\u3066\u8aac\u660e\u3057\u305f\u3002\u6b21\u306b\u5fc5\u8981\u306a\u306e\u306f\u3001\u305d\u306e\u80cc\u9aa8\u3067\u3042\u308b\u7406\u8ad6\u80cc\u666f\u3092\u3001\u6587\u7cfb\u306e\u8aad\u307f\u624b\u306b\u3082\u5c4a\u304f\u5f62\u3067\u660e\u793a\u3059\u308b\u3053\u3068\u3060\u3002\u3053\u3053\u3067\u3044\u3046\u7406\u8ad6\u80cc\u666f\u306f\u3001\u96e3\u3057\u3044\u6570\u5f0f\u3092\u5897\u3084\u3059\u3053\u3068\u3067\u306f\u306a\u3044\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u300c\u306a\u305c\u8a08\u7b97\u3068\u547c\u3079\u308b\u306e\u304b\u300d\u300c\u306a\u305c\u6700\u9069\u5316\u3068\u81ea\u7136\u306b\u7d50\u3073\u3064\u304f\u306e\u304b\u300d\u300c\u3069\u3053\u306b\u9650\u754c\u304c\u3042\u308b\u306e\u304b\u300d\u3092\u3001\u7269\u7406\u3068\u8a08\u7b97\u7406\u8ad6\u306e\u4e21\u5074\u304b\u3089\u4f4d\u7f6e\u3065\u3051\u76f4\u3059\u3053\u3068\u3067\u3042\u308b\u3002\u65ad\u8a00\u3057\u3066\u304a\u304f\u3079\u304d\u3053\u3068\u306f 1 \u3064\u3067\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u4e07\u80fd\u306a\u9b54\u6cd5\u3067\u306f\u306a\u3044\u3002\u3057\u304b\u3057\u540c\u6642\u306b\u3001\u5358\u306a\u308b\u6bd4\u55a9\u3067\u3082\u306a\u3044\u3002\u7406\u60f3\u5316\u3055\u308c\u305f\u7406\u8ad6\u30e2\u30c7\u30eb\uff08\u65ad\u71b1\u91cf\u5b50\u8a08\u7b97\uff09\u3068\u3001\u5b9f\u88c5\u4e0a\u306e\u5236\u7d04\u306e\u4e2d\u3067\u6210\u7acb\u3059\u308b\u5de5\u5b66\uff08\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff09\u304c\u3001\u3069\u306e\u3088\u3046\u306b\u63a5\u7d9a\u3057\u3066\u3044\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u304c\u3001\u8aa4\u89e3\u3092\u907f\u3051\u3064\u3064\u300c\u4f7f\u3044\u3069\u3053\u308d\u300d\u3092\u898b\u6975\u3081\u308b\u6700\u77ed\u8ddd\u96e2\u306b\u306a\u308b[1]<\/a>[2]<\/a>\u3002<\/p>\n

\u3053\u306e\u8a18\u4e8b\u306f\u3001(1) \u306a\u305c\u7406\u8ad6\u80cc\u666f\u304c\u8981\u308b\u306e\u304b\u3001(2) \u65ad\u71b1\u91cf\u5b50\u8a08\u7b97\uff08AQC\uff09\u3068\u3044\u3046\u67a0\u7d44\u307f\u3001(3) \u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f AQC \u306e\u4f55\u306a\u306e\u304b\u3001(4) \u306a\u305c\u6700\u9069\u5316\u304c\u81ea\u7136\u306b\u51fa\u3066\u304f\u308b\u306e\u304b\u3001(5) \u7406\u8ad6\u7684\u9650\u754c\u3068\u8aa4\u89e3\u306e\u6574\u7406\u3001(6) \u30b2\u30fc\u30c8\u578b\u91cf\u5b50\u8a08\u7b97\u3068\u306e\u7406\u8ad6\u7684\u5bfe\u6bd4\u3001(7) \u6b21\u3078\u306e\u5e03\u77f3\u3001\u3068\u3044\u3046\u9806\u3067\u9032\u3081\u308b\u3002\u6570\u5f0f\u3084\u5f62\u5f0f\u5b9a\u7fa9\u306f Appendix \u306b\u307e\u3068\u3081\u3001\u672c\u6587\u306f\u6982\u5ff5\u306e\u56e0\u679c\u95a2\u4fc2\u304c\u8ffd\u3048\u308b\u6587\u7ae0\u3068\u3057\u3066\u5b8c\u7d50\u3055\u305b\u308b\u3002<\/p>\n

\n

1. \u306a\u305c\u300c\u7406\u8ad6\u80cc\u666f\u300d\u304c\u5fc5\u8981\u306a\u306e\u304b<\/h2>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u5de1\u308b\u6df7\u4e71\u306f\u3001\u3060\u3044\u305f\u3044\u6b21\u306e 2 \u3064\u306e\u8aa4\u89e3\u306b\u53ce\u675f\u3059\u308b\u3002\u7b2c\u4e00\u306b\u300c\u91cf\u5b50\u3060\u304b\u3089\u901f\u3044\u306f\u305a\u3060\u300d\u3068\u3044\u3046\u4e07\u80fd\u8996\u3002\u7b2c\u4e8c\u306b\u300c\u7d50\u5c40\u306f\u713c\u304d\u306a\u307e\u3057\u306e\u8a00\u3044\u63db\u3048\u3060\u300d\u3068\u3044\u3046\u77ee\u5c0f\u5316\u3067\u3042\u308b\u3002\u7406\u8ad6\u80cc\u666f\u3092\u88dc\u5f37\u3059\u308b\u76ee\u7684\u306f\u3001\u3053\u306e\u4e21\u6975\u3092\u540c\u6642\u306b\u5916\u3059\u3053\u3068\u306b\u3042\u308b\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u6700\u9069\u5316\u3068\u3044\u3046\u76ee\u7684\u306b\u5bfe\u3057\u3066\u3001\u91cf\u5b50\u529b\u5b66\u306e\u6642\u9593\u767a\u5c55\uff08\u9023\u7d9a\u7684\u306a\u5909\u5316\uff09\u3092\u8a08\u7b97\u3068\u3057\u3066\u4f7f\u3046\u3001\u3068\u3044\u3046\u767a\u60f3\u3092\u6301\u3064\u3002\u305d\u306e\u610f\u5473\u3067\u300c\u91cf\u5b50\u8a08\u7b97\u300d\u3067\u3042\u308b\u3002\u4e00\u65b9\u3067\u3001\u305d\u306e\u8a08\u7b97\u306e\u6210\u5426\u306f\u3001\u30b9\u30da\u30af\u30c8\u30eb\u30ae\u30e3\u30c3\u30d7\u3084\u74b0\u5883\uff08\u30ce\u30a4\u30ba\u30fb\u6e29\u5ea6\uff09\u306a\u3069\u306e\u7269\u7406\u6761\u4ef6\u306b\u652f\u914d\u3055\u308c\u3001\u4e00\u822c\u306b\u5e38\u306b\u9ad8\u901f\u3067\u3042\u308b\u4fdd\u8a3c\u306f\u306a\u3044\u3002\u3053\u3053\u307e\u3067\u3092\u3001\u7406\u8ad6\u5074\u304b\u3089\u898b\u3048\u308b\u8a00\u8449\u3067\u8a00\u3044\u76f4\u3059\u5fc5\u8981\u304c\u3042\u308b[3]<\/a>[4]<\/a>\u3002<\/p>\n

\u3053\u306e\u6574\u7406\u304c\u52b9\u304f\u7406\u7531\u306f\u7c21\u5358\u3067\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u4e2d\u5fc3\u306f\u300c\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5de7\u5999\u3055\u300d\u3067\u306f\u306a\u304f\u300c\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3<\/a>\uff08\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u30eb\u30fc\u30eb\uff09\u3092\u3069\u3046\u5909\u5f62\u3055\u305b\u308b\u304b\u300d\u306b\u3042\u308b\u304b\u3089\u3060\u3002\u3064\u307e\u308a\u3001\u7406\u8ad6\u80cc\u666f\u306f\u300c\u4f55\u3092\u8a08\u7b97\u3068\u307f\u306a\u3059\u304b\u300d\u3068\u3044\u3046\u8a08\u7b97\u89b3\u306e\u8a71\u3067\u3042\u308a\u3001\u305d\u3053\u3067\u521d\u3081\u3066 QUBO \/ Ising \u3068\u3044\u3046\u5f62\u5f0f\u304c\u201c\u5fc5\u7136\u201d\u3068\u3057\u3066\u7acb\u3061\u4e0a\u304c\u308b\u3002D-Wave \u306e\u8cc7\u6599\u304c\u7e70\u308a\u8fd4\u3059\u3088\u3046\u306b\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u6a5f\u306f QUBO \/ Ising\uff08\u3088\u308a\u4e00\u822c\u306b\u306fBQM<\/a>\uff09\u3068\u3057\u3066\u5b9a\u5f0f\u5316\u3055\u308c\u305f\u554f\u984c\u3092\u53d7\u3051\u53d6\u308b\u3002\u3053\u308c\u306f\u5b9f\u88c5\u90fd\u5408\u3067\u3082\u3042\u308b\u304c\u3001\u7406\u8ad6\u306e\u5074\u304b\u3089\u3082\u300c\u57fa\u5e95\u72b6\u614b\u63a2\u7d22\uff1d\u6700\u5c0f\u5316\u300d\u3068\u3044\u3046\u540c\u578b\u5bfe\u5fdc\u304c\u3042\u308b[5]<\/a>[6]<\/a>\u3002<\/p>\n

\n

2. \u65ad\u71b1\u91cf\u5b50\u8a08\u7b97\uff08AQC\uff09\u3068\u3044\u3046\u67a0\u7d44\u307f<\/h2>\n

\u7406\u8ad6\u306e\u4e2d\u5fc3\u306f\u3001\u65ad\u71b1\u91cf\u5b50\u8a08\u7b97<\/a>\uff08Adiabatic Quantum Computation: AQC\uff09\u3067\u3042\u308b\u3002AQC \u306e\u30b3\u30a2\u306f\u3001\u6975\u7aef\u306b\u8a00\u3048\u3070\u300c\u72b6\u614b\u3092\u3044\u3058\u308b\u300d\u306e\u3067\u306f\u306a\u304f\u300c\u30eb\u30fc\u30eb\u3092\u3086\u3063\u304f\u308a\u5909\u3048\u308b\u300d\u8a08\u7b97\u89b3\u306b\u3042\u308b\u3002\u91cf\u5b50\u7cfb\u306f\u3001\u305d\u306e\u77ac\u9593\u306e\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\uff08\u30a8\u30cd\u30eb\u30ae\u30fc\u6f14\u7b97\u5b50\uff09\u306b\u3088\u308a\u3001\u3069\u306e\u72b6\u614b\u304c\u201c\u4f4e\u3044\u30a8\u30cd\u30eb\u30ae\u30fc\u201d\u304b\u304c\u6c7a\u307e\u308b\u3002\u3082\u3057\u5916\u90e8\u6761\u4ef6\u3092\u3086\u3063\u304f\u308a\u5909\u3048\u3066\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u6642\u9593\u3068\u3068\u3082\u306b\u6ed1\u3089\u304b\u306b\u5909\u5f62\u3055\u305b\u308b\u3068\u3001\u7279\u5b9a\u306e\u6761\u4ef6\u306e\u3082\u3068\u3067\u7cfb\u306f\u57fa\u5e95\u72b6\u614b\uff08\u6700\u5c0f\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\uff09\u306b\u3068\u3069\u307e\u308a\u7d9a\u3051\u308b\u3001\u3068\u3044\u3046\u306e\u304c\u65ad\u71b1\u5b9a\u7406\u306e\u76f4\u89b3\u3060\u3002\u6b74\u53f2\u7684\u306b\u306f Born \u3068 Fock \u306b\u3088\u308b 1928 \u5e74\u306e\u4ed5\u4e8b\u304c\u539f\u578b\u3067\u3042\u308a\u3001Kato \u306b\u3088\u308b 1950 \u5e74\u306e\u5b9a\u5f0f\u5316\u304c\u91cd\u8981\u306a\u57fa\u76e4\u306b\u306a\u3063\u3066\u3044\u308b[7]<\/a>[8]<\/a>\u3002<\/p>\n

\u3053\u3053\u3067\u3001\u91cf\u5b50\u8a08\u7b97\u3068\u3057\u3066\u306e\u898b\u53d6\u308a\u56f3\u3092\u3001\u6570\u5f0f\u306a\u3057\u3067\u56fa\u5b9a\u3059\u308b\u3002AQC \u306f\u6b21\u306e 3 \u3064\u3092\u7528\u610f\u3059\u308b\u3002\uff08 1 \uff09\u521d\u671f\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\uff1a\u57fa\u5e95\u72b6\u614b\u304c\u7c21\u5358\u306b\u4f5c\u308c\u308b\u3002\uff08 2 \uff09\u7d42\u7aef\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\uff1a\u305d\u306e\u57fa\u5e95\u72b6\u614b\u304c\u300c\u6b32\u3057\u3044\u7b54\u3048\u300d\u3092\u8868\u3059\u3088\u3046\u306b\u554f\u984c\u3092\u57cb\u3081\u8fbc\u3080\u3002\uff08 3 \uff09\u88dc\u9593\u30b9\u30b1\u30b8\u30e5\u30fc\u30eb\uff1a\u521d\u671f\u304b\u3089\u7d42\u7aef\u3078\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u6642\u9593\u4f9d\u5b58\u3067\u6ed1\u3089\u304b\u306b\u5909\u3048\u308b\u3002\u3059\u308b\u3068\u3001\u3046\u307e\u304f\u3044\u3051\u3070\u6700\u7d42\u6642\u523b\u306e\u72b6\u614b\u306f\u7d42\u7aef\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u57fa\u5e95\u72b6\u614b\u306b\u306a\u308a\u3001\u305d\u308c\u3092\u6e2c\u308c\u3070\u7b54\u3048\u304c\u51fa\u308b\u3002\u3053\u306e\u767a\u60f3\u306f Farhi \u3089\u306e\u53e4\u5178\u7684\u8ad6\u6587\u3067\u300c\u6e80\u8db3\u5272\u5f53\uff08SAT\uff09\u306a\u3069\u306e\u89e3\u3092\u57fa\u5e95\u72b6\u614b\u306b\u57cb\u3081\u8fbc\u3080\u300d\u5f62\u3068\u3057\u3066\u793a\u3055\u308c\u3001\u4ee5\u964d\u30ec\u30d3\u30e5\u30fc\u304c\u84c4\u7a4d\u3057\u305f[9]<\/a>[1]<\/a>\u3002<\/p>\n

\u305f\u3060\u3057\u300c\u3086\u3063\u304f\u308a\u5909\u3048\u308c\u3070\u3088\u3044\u300d\u3068\u3044\u3046\u8a00\u3044\u65b9\u306f\u5371\u967a\u3067\u3001\u3069\u308c\u304f\u3089\u3044\u3086\u3063\u304f\u308a\u304b\u306f\u201c\u30ae\u30e3\u30c3\u30d7\u201d\u306b\u4f9d\u5b58\u3059\u308b\u3002\u7c21\u5358\u306b\u8a00\u3046\u3068\u3001\u57fa\u5e95\u72b6\u614b\u3068 2 \u756a\u76ee\u306e\u72b6\u614b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5dee\u304c\u5c0f\u3055\u3044\u533a\u9593\u304c\u3042\u308b\u3068\u3001\u72b6\u614b\u304c\u6df7\u3056\u3063\u3066\u5931\u6557\u3057\u3084\u3059\u3044\u3002Farhi \u3089\u81ea\u8eab\u3082\u3001\u5fc5\u8981\u6642\u9593\u304c\u6700\u5c0f\u30ae\u30e3\u30c3\u30d7\u306b\u4f9d\u5b58\u3059\u308b\u3053\u3068\u3092\u660e\u793a\u3057\u3066\u3044\u308b\u3002\u30ae\u30e3\u30c3\u30d7\u4f9d\u5b58\u3092\u660e\u78ba\u306b\u3057\u305f\u89e3\u6790\u3084\u4e0a\u754c\u8a55\u4fa1\u306f\u3001Jansen\u2013Ruskai\u2013Seiler \u306a\u3069\u3067\u6574\u7406\u3055\u308c\u3066\u3044\u308b[9]<\/a>[10]<\/a>\u3002<\/p>\n

\u3082\u3046 1 \u3064\u91cd\u8981\u306a\u306e\u306f\u300cAQC \u306f\u30b2\u30fc\u30c8\u578b\u91cf\u5b50\u8a08\u7b97\u3068\u540c\u3058\u529b\u3092\u6301\u3064\u306e\u304b\u300d\u3068\u3044\u3046\u554f\u3044\u3067\u3042\u308b\u3002\u3053\u308c\u306f\u201c\u7406\u8ad6\u80cc\u666f\u306e\u88dc\u5f37\u201d\u3068\u3057\u3066\u5fc5\u9808\u306e\u8ad6\u70b9\u3067\u3001Aharonov \u3089\u306f AQC \u304c\uff08\u591a\u9805\u5f0f\u306e\u610f\u5473\u3067\uff09\u6a19\u6e96\u306e\u56de\u8def\u30e2\u30c7\u30eb\u3068\u540c\u7b49\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u3002\u3064\u307e\u308a AQC \u306f\u5358\u306a\u308b\u30a2\u30ca\u30ed\u30b0\u7684\u304a\u904a\u3073\u3067\u306f\u306a\u304f\u3001\u304d\u3061\u3093\u3068\u8a08\u7b97\u30e2\u30c7\u30eb\u3068\u3057\u3066\u6210\u7acb\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u304c\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u300c\u91cf\u5b50\u8a08\u7b97\u306e\u4e00\u65cf\u300d\u3068\u3057\u3066\u7f6e\u3051\u308b\u6839\u62e0\u306b\u306a\u308b[11]<\/a>\u3002<\/p>\n\n\n\n\n\n\n\n\n
\u89b3\u70b9<\/th>\n\u65ad\u71b1\u91cf\u5b50\u8a08\u7b97\uff08AQC\uff09<\/th>\n\u3053\u3053\u3067\u6301\u3064\u3079\u304d\u7406\u89e3<\/th>\n<\/tr>\n<\/thead>\n
\u8a08\u7b97\u306e\u5358\u4f4d<\/td>\n\u30b2\u30fc\u30c8\u3067\u306f\u306a\u304f\u6642\u9593\u767a\u5c55<\/td>\n\u300c\u624b\u7d9a\u304d\u300d\u3088\u308a\u300c\u5909\u5f62\u300d\u3092\u8a2d\u8a08\u3059\u308b<\/td>\n<\/tr>\n
\u7b54\u3048\u306e\u8868\u73fe<\/td>\n\u7d42\u7aef\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u57fa\u5e95\u72b6\u614b<\/td>\n\u6700\u5c0f\u5316\u3068\u3057\u3066\u7b54\u3048\u304c\u51fa\u308b<\/td>\n<\/tr>\n
\u6210\u529f\u6761\u4ef6<\/td>\n\u6700\u5c0f\u30ae\u30e3\u30c3\u30d7\u306a\u3069\u306b\u4f9d\u5b58<\/td>\n\u4e07\u80fd\u3067\u306f\u306a\u304f\u6761\u4ef6\u4f9d\u5b58<\/td>\n<\/tr>\n
\u8a08\u7b97\u30e2\u30c7\u30eb\u3068\u3057\u3066<\/td>\n\u56de\u8def\u30e2\u30c7\u30eb\u3068\u591a\u9805\u5f0f\u540c\u7b49<\/td>\n\u201c\u8a08\u7b97\u201d\u3068\u547c\u3076\u6839\u62e0\u304c\u3042\u308b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

3. \u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f AQC \u306e\u4f55\u306a\u306e\u304b<\/h2>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001AQC \u306e\u767a\u60f3\u3092\u300c\u6700\u9069\u5316\u300d\u306b\u5bc4\u305b\u3066\u5b9f\u88c5\u3057\u3084\u3059\u3044\u5f62\u306b\u3057\u305f\u3082\u306e\u3001\u3068\u6349\u3048\u308b\u3068\u7b4b\u304c\u826f\u3044\u3002\u305f\u3060\u3057\u3001\u4e21\u8005\u306f\u540c\u4e00\u3067\u306f\u306a\u3044\u3002AQC \u306f\u4e00\u822c\u7684\u306a\u8a08\u7b97\u30e2\u30c7\u30eb\uff08\u7406\u8ad6\uff09\u3067\u3042\u308a\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u73fe\u5b9f\u306e\u30cf\u30fc\u30c9\u3084\u30ce\u30a4\u30ba\u3092\u524d\u63d0\u306b\u3057\u3064\u3064\u3001\u4e3b\u306b\u300c\u57fa\u5e95\u72b6\u614b\u63a2\u7d22\uff08\u6700\u5c0f\u5316\uff09\u300d\u306b\u7126\u70b9\u3092\u5f53\u3066\u305f\u67a0\u7d44\u307f\u3067\u3042\u308b\u3002\u3053\u306e\u5dee\u3092\u66d6\u6627\u306b\u3059\u308b\u3068\u3001\u7406\u60f3\u5316\u3055\u308c\u305f\u65ad\u71b1\u6761\u4ef6\u3092\u305d\u306e\u307e\u307e\u73fe\u5834\u306b\u6301\u3061\u8fbc\u3080\u8aa4\u89e3\u304c\u751f\u307e\u308c\u308b\u3002AQC \u3068\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u95a2\u4fc2\u3092\u6574\u7406\u3059\u308b\u4ee3\u8868\u7684\u30ec\u30d3\u30e5\u30fc\u3068\u3057\u3066 Albash\u2013Lidar \u304c\u3042\u308b[1]<\/a>\u3002<\/p>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u5b9f\u88c5\u306e\u5178\u578b\u306f\u3001\u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\uff08transverse-field Ising model\uff09\u306b\u57fa\u3065\u304f\u3002Kadowaki\u2013Nishimori \u306f\u3001\u53e4\u5178\u306e\u713c\u304d\u306a\u307e\u3057\uff08\u6e29\u5ea6\u3092\u4e0b\u3052\u308b\uff09\u306b\u5bfe\u5fdc\u3055\u305b\u3066\u3001\u91cf\u5b50\u63fa\u3089\u304e\uff08\u6a2a\u78c1\u5834\uff09\u3092\u6642\u9593\u3068\u3068\u3082\u306b\u5f31\u3081\u308b\u5f62\u3067\u6700\u9069\u5316\u3078\u5fdc\u7528\u3067\u304d\u308b\u3053\u3068\u3092\u793a\u3057\u305f\u3002\u3053\u3053\u3067\u91cd\u8981\u306a\u306e\u306f\u3001\u7d42\u7aef\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u201c\u5bfe\u89d2\u201d\u90e8\u5206\uff08\u53e4\u5178\u7684\u306a\u30b9\u30d4\u30f3\u914d\u7f6e\u306b\u5bfe\u5fdc\uff09\u304c\u300c\u89e3\u306e\u826f\u3055\uff08\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u300d\u3092\u8868\u3057\u3001\u6a2a\u78c1\u5834\u304c\u63a2\u7d22\u306e\u63fa\u3089\u304e\u3068\u3057\u3066\u50cd\u304f\u3001\u3068\u3044\u3046\u5f79\u5272\u5206\u62c5\u3067\u3042\u308b[12]<\/a>\u3002<\/p>\n

\u3053\u306e\u69cb\u9020\u304c\u3001QUBO \/ Ising \u306e\u5fc5\u7136\u306b\u3064\u306a\u304c\u308b\u3002D-Wave \u306e\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u304c\u6574\u7406\u3057\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u5165\u529b\u306f Ising\uff08\u30b9\u30d4\u30f3\u5909\u6570\u304c \u2212 1 \/ + 1 \uff09\u304b QUBO\uff08 0 \/ 1 \uff09\u3067\u3042\u308a\u3001\u76f8\u4e92\u306b\u5909\u63db\u3067\u304d\u308b\u3002\u91cd\u8981\u306a\u306e\u306f\u300c\u4e8c\u6b21\u307e\u3067\u300d\u3067\u3042\u308b\u3053\u3068\u3060\u3002\u73fe\u5834\u306e\u5236\u7d04\u3092\u30da\u30ca\u30eb\u30c6\u30a3\u3068\u3057\u3066\u8db3\u3059\u8a2d\u8a08\u306f\u3001\u4e8c\u6b21\u307e\u3067\u306e\u8868\u73fe\u306b\u843d\u3068\u305b\u308b\u3068\u5b9f\u88c5\u304c\u5bb9\u6613\u306b\u306a\u308a\u3001\u30cf\u30fc\u30c9\u30a6\u30a7\u30a2\uff08\u7d50\u5408\u69cb\u9020\uff09\u3068\u3082\u6574\u5408\u3059\u308b\u3002\u5909\u63db\u306e\u5177\u4f53\u306f Ocean\uff08dimod\uff09\u306e API \u3068\u3057\u3066\u63d0\u4f9b\u3055\u308c\u3066\u3044\u308b[5]<\/a>[13]<\/a>[14]<\/a>\u3002<\/p>\n

\u3053\u3053\u3067\u3001\u524d\u56de\u306e\u8a18\u4e8b<\/a>\u306e\u300c\u7ffb\u8a33\u304c\u5168\u3066\u300d\u3068\u3044\u3046\u4e3b\u5f35\u304c\u7406\u8ad6\u5074\u304b\u3089\u88dc\u5f37\u3055\u308c\u308b\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u76f4\u63a5\u89e3\u304f\u306e\u306f\u201c\u73fe\u5834\u306e\u8a00\u8a9e\u201d\u3067\u306f\u306a\u304f\u3001\u201c\u30a4\u30b8\u30f3\u30b0\u7684\u306a\u8a00\u8a9e\u201d\u3067\u3042\u308b\u3002\u305d\u306e\u8a00\u8a9e\u306f\u7269\u7406\u3068\u8a08\u7b97\u306e\u4e21\u5074\u304b\u3089\u81ea\u7136\u306b\u73fe\u308c\u308b\u304c\u3001\u73fe\u5834\u306e\u610f\u5473\u3092\u6301\u3064\u304b\u3069\u3046\u304b\u306f\u7ffb\u8a33\u306e\u51fa\u6765\u306b\u4f9d\u5b58\u3059\u308b\u3002BQM \u3068\u3044\u3046\u547c\u3073\u540d\u306f\u3001\u3053\u306e\u300c\u540c\u3058\u672c\u8cea\u3092\u8907\u6570\u8868\u73fe\u3067\u6271\u3046\u300d\u305f\u3081\u306e\u5b9f\u52d9\u7684\u306a\u5668\u306b\u306a\u3063\u3066\u3044\u308b[6]<\/a>[15]<\/a>\u3002<\/p>\n\n\n\n\n\n\n\n
\u89b3\u70b9<\/th>\nAQC<\/th>\n\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0<\/th>\n\u610f\u5473<\/th>\n<\/tr>\n<\/thead>\n
\u7406\u60f3\u5316<\/td>\n\u9589\u7cfb\u30fb\u65ad\u71b1\u3092\u524d\u63d0\u306b\u8b70\u8ad6\u3057\u3084\u3059\u3044<\/td>\n\u958b\u653e\u7cfb\u30fb\u30ce\u30a4\u30ba\u3092\u542b\u3080\u904b\u7528\u304c\u524d\u63d0<\/td>\n\u7406\u8ad6\u3068\u5de5\u5b66\u306e\u5dee<\/td>\n<\/tr>\n
\u5bfe\u8c61<\/td>\n\u4e00\u822c\u306e\u8a08\u7b97\u3092\u8868\u73fe\u53ef\u80fd<\/td>\n\u4e3b\u306b\u6700\u9069\u5316\uff08\u57fa\u5e95\u72b6\u614b\u63a2\u7d22\uff09<\/td>\n\u7528\u9014\u306e\u7d5e\u308a\u8fbc\u307f<\/td>\n<\/tr>\n
\u5b9f\u88c5<\/td>\n\u62bd\u8c61\u30e2\u30c7\u30eb<\/td>\n\u6a2a\u78c1\u5834 Ising \u304c\u5178\u578b<\/td>\nQUBO \/ Ising \u306e\u5fc5\u7136<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

4. \u306a\u305c\u6700\u9069\u5316\u304c\u81ea\u7136\u306b\u51fa\u3066\u304f\u308b\u306e\u304b<\/h2>\n

\u3053\u3053\u3067\u4e00\u6bb5\u3001\u76f4\u89b3\u3092\u56fa\u5b9a\u3059\u308b\u3002\u7269\u7406\u306f\u3001\u52dd\u624b\u306b\u300c\u6700\u5c0f\u5316\u300d\u3092\u3084\u3063\u3066\u3044\u308b\u3002\u7cfb\u304c\u5341\u5206\u306b\u7de9\u548c\u3067\u304d\u308b\u306a\u3089\u3001\u3088\u308a\u4f4e\u3044\u30a8\u30cd\u30eb\u30ae\u30fc\u72b6\u614b\u3078\u843d\u3061\u3088\u3046\u3068\u3059\u308b\u3002AQC \/ \u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u3053\u306e\u7269\u7406\u306e\u50be\u5411\u3092\u201c\u8a08\u7b97\u201d\u3068\u3057\u3066\u5229\u7528\u3059\u308b\u3002\u3059\u306a\u308f\u3061\u300c\u7b54\u3048\u3092\u30a8\u30cd\u30eb\u30ae\u30fc\u6700\u5c0f\u3068\u3057\u3066\u57cb\u3081\u8fbc\u307f\u3001\u7269\u7406\u306e\u6642\u9593\u767a\u5c55\u306b\u63a2\u3055\u305b\u308b\u300d\u3002\u3053\u306e\u3068\u304d\u6700\u9069\u5316\u306f\u3001\u6700\u521d\u304b\u3089\u7269\u7406\u3068\u540c\u578b\u3067\u3042\u308b\u3002\u3060\u304b\u3089\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u6700\u9069\u5316\u3092\u4e3b\u6226\u5834\u306b\u3057\u3084\u3059\u3044\u3002\u3053\u308c\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u201c\u4e07\u80fd\u8a08\u7b97\u201d\u3067\u306f\u306a\u3044\u3053\u3068\u3068\u77db\u76fe\u3057\u306a\u3044\u3002\u3080\u3057\u308d\u4e07\u80fd\u3067\u306f\u306a\u3044\u304b\u3089\u3053\u305d\u3001\u6700\u521d\u304b\u3089\u7269\u7406\u304c\u5f97\u610f\u3068\u3059\u308b\u5f62\uff08\u6700\u5c0f\u5316\uff09\u306b\u72d9\u3044\u3092\u7d5e\u308b\u6226\u7565\u304c\u5408\u7406\u7684\u306b\u306a\u308b[12]<\/a>[16]<\/a>\u3002<\/p>\n

\u305f\u3060\u3057\u300c\u6700\u5c0f\u5316\u304c\u81ea\u7136\u300d\u3068\u8a00\u3063\u3066\u3082\u3001\u73fe\u5b9f\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u5730\u5f62\u306f\u5358\u7d14\u3067\u306f\u306a\u3044\u3002\u5931\u6557\u306e\u5178\u578b\u306f 2 \u3064\u306b\u5206\u304b\u308c\u308b\u3002\u7b2c\u4e00\u306b\u3001\u9014\u4e2d\u3067\u30ae\u30e3\u30c3\u30d7\u304c\u6975\u7aef\u306b\u5c0f\u3055\u304f\u306a\u308b\uff08\u76f8\u8ee2\u79fb\u3084\u56de\u907f\u4ea4\u5dee\uff09\u3053\u3068\u3067\u3001\u5fc5\u8981\u6642\u9593\u304c\u8df3\u306d\u4e0a\u304c\u308b\u3002\u7b2c\u4e8c\u306b\u3001\u9589\u7cfb\u306e\u7406\u60f3\u3068\u7570\u306a\u308a\u3001\u74b0\u5883\u3068\u306e\u76f8\u4e92\u4f5c\u7528\u304c\u8aa4\u308a\u3084\u71b1\u52b1\u8d77\u3092\u8d77\u3053\u3057\u3001\u57fa\u5e95\u72b6\u614b\u304b\u3089\u5916\u308c\u308b\u3002Laumann \u3089\u306e\u30ec\u30d3\u30e5\u30fc\u306f\u3001AQC \/ \u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u6027\u80fd\u3092\u963b\u5bb3\u3059\u308b\u30e1\u30ab\u30cb\u30ba\u30e0\u3092\u5206\u985e\u3057\u3001\u76f8\u8ee2\u79fb\u3068\u56de\u907f\u4ea4\u5dee\uff08\u907f\u3051\u3089\u308c\u306a\u3044\u5c0f\u30ae\u30e3\u30c3\u30d7\uff09\u304c\u91cd\u8981\u306a\u5931\u6557\u8981\u56e0\u306b\u306a\u308b\u3053\u3068\u3092\u8b70\u8ad6\u3057\u3066\u3044\u308b[16]<\/a>\u3002<\/p>\n

\u3053\u306e\u8996\u70b9\u306f\u3001\u524d\u56de\u306e\u8a18\u4e8b<\/a>\u3067\u6271\u3063\u305f\u300c\u30c8\u30f3\u30cd\u30eb\u3067\u5c40\u6240\u6700\u9069\u3092\u629c\u3051\u308b\u300d\u3068\u3044\u3046\u6bd4\u55a9\u3092\u3001\u904e\u5ea6\u306b\u4e00\u822c\u5316\u3057\u306a\u3044\u305f\u3081\u306e\u6b6f\u6b62\u3081\u306b\u3082\u306a\u308b\u3002\u91cf\u5b50\u30c8\u30f3\u30cd\u30eb\u306f\u201c\u969c\u58c1\u306e\u5f62\u201d\u306b\u3088\u3063\u3066\u6709\u5229\u306b\u306a\u308a\u5f97\u308b\u304c\u3001\u30ae\u30e3\u30c3\u30d7\u306e\u7e2e\u5c0f\u3084\u591a\u4f53\u52b9\u679c\u304c\u7d61\u3080\u3068\u3001\u5358\u7d14\u306a 1 \u6b21\u5143\u306e\u5c71\u8d8a\u3048\uff0f\u5c71\u8cab\u304d\u306e\u7269\u8a9e\u3067\u306f\u6e08\u307e\u306a\u3044\u3002\u6b21\u7ae0\u3067\u306f\u3001\u3053\u308c\u3092\u300c\u7406\u8ad6\u7684\u9650\u754c\u300d\u3068\u3057\u3066\u6574\u7406\u3059\u308b\u3002<\/p>\n

\n

5. \u7406\u8ad6\u7684\u306a\u9650\u754c\u3068\u8aa4\u89e3\u306e\u6574\u7406<\/h2>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u300c\u6761\u4ef6\u4f9d\u5b58\u3067\u3042\u308b\u300d\u3053\u3068\u3092\u3001\u7406\u8ad6\u306e\u8a00\u8449\u3067\u6574\u7406\u3059\u308b\u3002\u3053\u3053\u3067\u6271\u3046\u306e\u306f\u3001(1) \u65ad\u71b1\u6761\u4ef6\u3068\u30ae\u30e3\u30c3\u30d7\u3001(2) \u958b\u653e\u7cfb\u30fb\u6709\u9650\u6e29\u5ea6\u3001(3) \u53e4\u5178\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3068\u201c\u91cf\u5b50\u3089\u3057\u3055\u201d\u3001(4) \u901f\u5ea6\u512a\u4f4d\uff08quantum speedup\uff09\u306e\u8a55\u4fa1\u3001\u306e 4 \u70b9\u3067\u3042\u308b\u3002<\/p>\n

5.1 \u65ad\u71b1\u6761\u4ef6\u306f\u201c\u3086\u3063\u304f\u308a\u201d\u3067\u306f\u306a\u304f\u201c\u30ae\u30e3\u30c3\u30d7\u4f9d\u5b58\u201d\u3067\u3042\u308b<\/h3>\n

\u65ad\u71b1\u5b9a\u7406\u306e\u76f4\u89b3\u306f\u300c\u3086\u3063\u304f\u308a\u5909\u3048\u308c\u3070\u57fa\u5e95\u72b6\u614b\u306b\u7559\u307e\u308b\u300d\u3060\u304c\u3001\u5b9f\u969b\u306b\u306f\u30b9\u30da\u30af\u30c8\u30eb\u30ae\u30e3\u30c3\u30d7\u304c\u9375\u306b\u306a\u308b\u3002\u30ae\u30e3\u30c3\u30d7\u304c\u5c0f\u3055\u3044\u9818\u57df\u3067\u306f\u3001\u307b\u3093\u306e\u5c11\u3057\u306e\u901f\u3055\u3067\u3082\u52b1\u8d77\u306b\u9077\u79fb\u3057\u3084\u3059\u3044\u3002Farhi \u3089\u306e\u539f\u8ad6\u6587\u306f\u3053\u306e\u4f9d\u5b58\u6027\u3092\u660e\u793a\u3057\u3001Jansen\u2013Ruskai\u2013Seiler \u306f\u30ae\u30e3\u30c3\u30d7\u4f9d\u5b58\u3092\u9732\u308f\u306b\u3057\u305f\u4e0a\u754c\u8a55\u4fa1\u3092\u4e0e\u3048\u3066\u3044\u308b\u3002Kato \u306e\u5b9a\u5f0f\u5316\u3084\u3001\u305d\u306e\u5f8c\u306e\u767a\u5c55\u3082\u542b\u3081\u3066\u3001\u65ad\u71b1\u306f\u5358\u306a\u308b\u30b9\u30ed\u30fc\u306a\u64cd\u4f5c\u3067\u306f\u306a\u304f\u3001\u6570\u5b66\u7684\u6761\u4ef6\u306e\u4e0a\u306b\u7acb\u3064\u3053\u3068\u3092\u62bc\u3055\u3048\u3066\u304a\u304f\u3079\u304d\u3060[9]<\/a>[10]<\/a>[8]<\/a>\u3002<\/p>\n

5.2 \u5b9f\u6a5f\u306f\u958b\u653e\u7cfb\u3067\u3042\u308a\u3001\u6709\u9650\u6e29\u5ea6\u3068\u30ce\u30a4\u30ba\u304c\u5165\u308b<\/h3>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u6a5f\u306f\u3001\u74b0\u5883\u3068\u5207\u308a\u96e2\u3055\u308c\u305f\u9589\u7cfb\u3067\u306f\u306a\u3044\u3002\u6709\u9650\u6e29\u5ea6\u3067\u52d5\u304d\u3001\u30ce\u30a4\u30ba\u3092\u53d7\u3051\u308b\u3002\u305d\u306e\u7d50\u679c\u3001\u7406\u60f3\u7684\u306b\u306f\u300c\u57fa\u5e95\u72b6\u614b\u306b\u5230\u9054\u3059\u308b\u300d\u8a08\u7b97\u304c\u3001\u73fe\u5b9f\u306b\u306f\u300c\u826f\u3044\u89e3\u3092\u542b\u3080\u30b5\u30f3\u30d7\u30eb\u5206\u5e03\u3092\u5f97\u308b\u300d\u8a08\u7b97\u306b\u306a\u308a\u3084\u3059\u3044\u3002\u958b\u653e\u7cfb\u306e\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u3092\u3069\u3046\u6349\u3048\u308b\u304b\u306f\u7814\u7a76\u304c\u9032\u3093\u3067\u304a\u308a\u3001\u305f\u3068\u3048\u3070\u71b1\u52b1\u8d77\u306e\u60aa\u5f71\u97ff\u3084\u3001\u305d\u308c\u3092\u88dc\u6b63\u3059\u308b\u65b9\u5411\uff08\u6709\u9650\u6e29\u5ea6\u88dc\u6b63\uff09\u306a\u3069\u304c\u8b70\u8ad6\u3055\u308c\u3066\u3044\u308b[1]<\/a>[17]<\/a>[18]<\/a>\u3002<\/p>\n

5.3 \u201c\u91cf\u5b50\u3089\u3057\u3055\u201d\u306f\u3001\u53e4\u5178\u3067\u3069\u3053\u307e\u3067\u518d\u73fe\u3067\u304d\u308b\u304b\u3068\u3044\u3046\u5f62\u3067\u554f\u308f\u308c\u308b<\/h3>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u672c\u5f53\u306b\u91cf\u5b50\u306e\u5229\u70b9\u3092\u4f7f\u3063\u3066\u3044\u308b\u304b\u306f\u3001\u53e4\u5178\u8a08\u7b97\u3067\u3069\u3053\u307e\u3067\u540c\u3058\u632f\u308b\u821e\u3044\u3092\u518d\u73fe\u3067\u304d\u308b\u304b\u3001\u3068\u3044\u3046\u554f\u3044\u306b\u843d\u3061\u308b\u3002\u4ee3\u8868\u7684\u306b\u306f\u3001\u30b9\u30c8\u30ab\u30b9\u30c6\u30a3\u30c3\u30af<\/a>\uff08stoquastic\uff09\u306a\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306f\u30d1\u30b9\u7a4d\u5206\u91cf\u5b50\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed<\/a>\uff08QMC\uff09\u3067\u6271\u3044\u3084\u3059\u3044\u5834\u5408\u304c\u3042\u308a\u3001\u9006\u306b\u975e\u30b9\u30c8\u30ab\u30b9\u30c6\u30a3\u30c3\u30af\u3067\u306f\u7b26\u53f7\u554f\u984c\u304c\u969c\u58c1\u306b\u306a\u308a\u5f97\u308b\u3001\u3068\u3044\u3046\u8b70\u8ad6\u304c\u3042\u308b\u3002Bravyi \u3089\u306f stoquastic \u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u8a08\u7b97\u91cf\u7684\u6027\u8cea\u3092\u6574\u7406\u3057\u3066\u304a\u308a\u3001Ohzeki \u306f\u975e\u30b9\u30c8\u30ab\u30b9\u30c6\u30a3\u30c3\u30af\u99c6\u52d5\u3068 QMC \u306e\u95a2\u4fc2\uff08\u7b26\u53f7\u554f\u984c\uff09\u3092\u8b70\u8ad6\u3057\u3066\u3044\u308b\u3002\u3053\u3053\u306f\u300c\u91cf\u5b50\u3060\u304b\u3089\u5e38\u306b\u901f\u3044\u300d\u3068\u3044\u3046\u601d\u3044\u8fbc\u307f\u3092\u7834\u308b\u4e00\u65b9\u3067\u3001\u300c\u3069\u306e\u69cb\u9020\u3067\u53e4\u5178\u304c\u82e6\u3057\u304f\u306a\u308b\u304b\u300d\u3092\u898b\u6975\u3081\u308b\u6307\u91dd\u306b\u3082\u306a\u308b[19]<\/a>[20]<\/a>\u3002<\/p>\n

5.4 \u901f\u5ea6\u512a\u4f4d\uff08quantum speedup\uff09\u306f\u5b9a\u7fa9\u304c\u96e3\u3057\u304f\u3001\u6e2c\u308a\u65b9\u304c\u91cd\u8981\u3067\u3042\u308b<\/h3>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u201c\u512a\u4f4d\u201d\u306f\u3001\u5358\u306b\u6700\u826f\u89e3\u304c\u51fa\u305f\u304b\u3067\u306f\u306a\u304f\u300c\u6642\u9593\u5bfe\u54c1\u8cea\u300d\u300c\u6bd4\u8f03\u5bfe\u8c61\u300d\u300c\u554f\u984c\u30af\u30e9\u30b9\u300d\u307e\u3067\u542b\u3081\u305f\u5b9a\u7fa9\u304c\u5fc5\u8981\u306b\u306a\u308b\u3002R\u00f8nnow \u3089\u306f quantum speedup \u3092\u3069\u3046\u5b9a\u7fa9\u3057\u3001\u4f55\u306b\u6ce8\u610f\u3057\u3066\u691c\u51fa\u3059\u3079\u304d\u304b\u3092\u6574\u7406\u3057\u3001\u7279\u5b9a\u30d9\u30f3\u30c1\u30de\u30fc\u30af\u3067 speedup \u304c\u898b\u3048\u306a\u3044\uff0f\u4e0d\u78ba\u5b9a\u306b\u306a\u308b\u53ef\u80fd\u6027\u3092\u793a\u3057\u305f\u3002\u3053\u308c\u306f\u5426\u5b9a\u3067\u306f\u306a\u304f\u3001\u6bd4\u8f03\u306e\u4f5c\u6cd5\u3092\u4e0e\u3048\u308b\u4ed5\u4e8b\u3067\u3042\u308b\u3002\u6b21\u306b\u5b9f\u52d9\u3078\u623b\u308b\u306a\u3089\u3001\u3053\u306e\u300c\u6bd4\u8f03\u306e\u4f5c\u6cd5\u300d\u3092\u7406\u89e3\u3057\u3066\u304a\u304f\u3053\u3068\u304c\u3001\u5c0e\u5165\u5224\u65ad\u3092\u73fe\u5b9f\u306b\u5f15\u304d\u623b\u3059[21]<\/a>\u3002<\/p>\n\n\n\n\n\n\n\n\n
\u8ad6\u70b9<\/th>\n\u4f55\u304c\u8d77\u304d\u308b\u304b<\/th>\n\u5b9f\u52d9\u3067\u306e\u542b\u610f<\/th>\n<\/tr>\n<\/thead>\n
\u30ae\u30e3\u30c3\u30d7<\/td>\n\u5c0f\u30ae\u30e3\u30c3\u30d7\u3067\u5fc5\u8981\u6642\u9593\u304c\u5897\u3048\u308b<\/td>\n\u554f\u984c\u69cb\u9020\u306e\u9078\u5225\u304c\u5fc5\u8981<\/td>\n<\/tr>\n
\u958b\u653e\u7cfb<\/td>\n\u30b5\u30f3\u30d7\u30eb\u5206\u5e03\u3068\u3057\u3066\u89e3\u3092\u5f97\u308b<\/td>\n\u7e70\u308a\u8fd4\u3057\u30fb\u5f8c\u51e6\u7406\u304c\u524d\u63d0<\/td>\n<\/tr>\n
\u53e4\u5178\u518d\u73fe<\/td>\nQMC \u7b49\u3067\u518d\u73fe\u3067\u304d\u308b\u9818\u57df\u304c\u3042\u308b<\/td>\n\u300c\u91cf\u5b50\u3089\u3057\u3055\u300d\u306e\u691c\u8a3c\u304c\u5fc5\u8981<\/td>\n<\/tr>\n
\u901f\u5ea6\u512a\u4f4d<\/td>\n\u5b9a\u7fa9\u3068\u6bd4\u8f03\u5bfe\u8c61\u3067\u7d50\u8ad6\u304c\u5909\u308f\u308b<\/td>\n\u8a55\u4fa1\u8a2d\u8a08\u304c\u6210\u529f\u6761\u4ef6\u306b\u306a\u308b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

6. \u30b2\u30fc\u30c8\u578b\u91cf\u5b50\u8a08\u7b97\u3068\u306e\u7406\u8ad6\u7684\u5bfe\u6bd4<\/h2>\n

\u30b2\u30fc\u30c8\u578b\u91cf\u5b50\u8a08\u7b97\u3068\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u3069\u3061\u3089\u304c\u4e0a\u3068\u3044\u3046\u8a71\u3067\u306f\u306a\u304f\u300c\u8a08\u7b97\u306e\u7c92\u5ea6\u300d\u304c\u9055\u3046\u3002\u30b2\u30fc\u30c8\u578b\u306f\u96e2\u6563\u7684\u306a\u64cd\u4f5c\u5217\uff08\u56de\u8def\uff09\u3068\u3057\u3066\u8a08\u7b97\u3092\u8868\u73fe\u3059\u308b\u3002AQC \/ \u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u9023\u7d9a\u7684\u306a\u6642\u9593\u767a\u5c55\u3068\u3057\u3066\u8a08\u7b97\u3092\u8868\u73fe\u3059\u308b\u3002Aharonov \u3089\u306e\u540c\u7b49\u6027\u7d50\u679c\u306f\u3001\u4e21\u8005\u304c\u8a08\u7b97\u30e2\u30c7\u30eb\u3068\u3057\u3066\u591a\u9805\u5f0f\u540c\u7b49\u3067\u3042\u308b\u3053\u3068\u3092\u793a\u3059\u304c\u3001\u73fe\u5b9f\u306e\u5b9f\u88c5\u306f\u5927\u304d\u304f\u7570\u306a\u308b\u3002\u30b2\u30fc\u30c8\u578b\u306f\u8aa4\u308a\u8a02\u6b63\u3084\u8ad6\u7406\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u30b9\u30b1\u30fc\u30eb\u304c\u8ab2\u984c\u306b\u306a\u308a\u3084\u3059\u304f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u554f\u984c\u30af\u30e9\u30b9\u3092\u6700\u9069\u5316\u3078\u5bc4\u305b\u308b<\/a>\u3053\u3068\u3067\u3001\u73fe\u6642\u70b9\u306e\u30cf\u30fc\u30c9\u5236\u7d04\u306e\u4e2d\u3067\u4f7f\u3048\u308b\u9818\u57df\u3092\u4f5c\u308b\u3002\u3053\u3053\u3067\u306e\u8981\u70b9\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u300c\u56de\u8def\u3092\u5b9f\u884c\u3059\u308b\u300d\u8a08\u7b97\u3067\u306f\u306a\u304f\u300c\u30a8\u30cd\u30eb\u30ae\u30fc\u5730\u5f62\u3092\u8a2d\u8a08\u3059\u308b\u300d\u8a08\u7b97\u3060\u3068\u3044\u3046\u70b9\u3067\u3042\u308b[11]<\/a>[1]<\/a>\u3002<\/p>\n

\u3053\u306e\u5bfe\u6bd4\u3092\u7406\u89e3\u3059\u308b\u3068\u3001\u524d\u56de\u306e\u8a18\u4e8b<\/a>\u3067\u8ff0\u3079\u305f\u300c\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u6700\u9069\u5316\u7279\u5316\u300d\u3068\u3044\u3046\u4f4d\u7f6e\u3065\u3051\u304c\u3001\u5358\u306a\u308b\u5206\u985e\u3067\u306f\u306a\u304f\u3001\u8a08\u7b97\u89b3\u306e\u9055\u3044\u3068\u3057\u3066\u8151\u306b\u843d\u3061\u308b\u3002\u6700\u9069\u5316\u306f\u81ea\u7136\u306b\u300c\u57fa\u5e95\u72b6\u614b\u63a2\u7d22\u300d\u3068\u540c\u578b\u306b\u306a\u308a\u3001AQC \u306e\u67a0\u7d44\u307f\u3067\u8a00\u8a9e\u5316\u3067\u304d\u308b\u3002\u305d\u306e\u610f\u5473\u3067\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u7406\u8ad6\u7684\u306b\u304d\u308c\u3044\u306a\u5834\u6240\u306b\u7acb\u3063\u3066\u3044\u308b\u3002\u4e00\u65b9\u3067\u3001\u73fe\u5b9f\u306e\u512a\u4f4d\u306f\u30ae\u30e3\u30c3\u30d7\u3001\u30ce\u30a4\u30ba\u3001\u57cb\u3081\u8fbc\u307f\u3001\u6bd4\u8f03\u5bfe\u8c61\u306b\u4f9d\u5b58\u3059\u308b\u3002\u7406\u8ad6\u306f\u201c\u5730\u56f3\u201d\u3092\u4e0e\u3048\u308b\u304c\u3001\u52dd\u6557\u3092\u4fdd\u8a3c\u3059\u308b\u3082\u306e\u3067\u306f\u306a\u3044\u3002<\/p>\n

\n

7. \u6b21\u3078\u306e\u5e03\u77f3\uff1a\u306a\u305c\u300c\u30e2\u30c7\u30eb\u5316\u300d\u304c\u5168\u3066\u3092\u6c7a\u3081\u308b\u306e\u304b<\/h2>\n

\u7406\u8ad6\u80cc\u666f\u3092\u88dc\u5f37\u3057\u305f\u4e0a\u3067\u3001\u6b21\u306e\u8a18\u4e8b\u3067\u81ea\u7136\u306b\u6271\u3048\u308b\u8ad6\u70b9\u306f 2 \u3064\u3042\u308b\u3002\u7b2c\u4e00\u306b\u3001\u30e2\u30c7\u30eb\u5316\uff08QUBO \/ Ising \u5316\uff09\u304c\u201c\u610f\u5473\u201d\u3092\u3069\u3046\u4fdd\u6301\u3059\u308b\u304b\u3002\u3053\u308c\u306f\u300c\u73fe\u5834\u306e\u5236\u7d04\u300d\u3092\u30da\u30ca\u30eb\u30c6\u30a3\u3068\u3057\u3066\u8db3\u3059\u3068\u304d\u3001\u3069\u306e\u6761\u4ef6\u3092\u786c\u3044\u5236\u7d04\u3068\u3057\u3066\u6271\u3044\u3001\u3069\u306e\u6761\u4ef6\u3092\u67d4\u3089\u304b\u3044\u5236\u7d04\u3068\u3057\u3066\u6271\u3046\u304b\u3001\u3068\u3044\u3046\u8a2d\u8a08\u601d\u60f3\u306e\u554f\u984c\u306b\u306a\u308b\u3002\u7b2c\u4e8c\u306b\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u304c\u6a5f\u68b0\u5b66\u7fd2\u3084\u63a2\u7d22\uff08\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\uff09\u3068\u63a5\u7d9a\u3059\u308b\u7406\u7531\u3067\u3042\u308b\u3002D-Wave \u306e Problem-Solving Handbook \u306f\u3001BQM \u304c\u78ba\u7387\u30e2\u30c7\u30eb\u3084\u6a5f\u68b0\u5b66\u7fd2\u3068\u63a5\u7d9a\u3057\u5f97\u308b\u3053\u3068\u3092\u8aac\u660e\u3057\u3066\u304a\u308a\u3001\u3053\u3053\u304b\u3089\u300c\u6700\u9069\u5316\u300d\u3068\u300c\u5b66\u7fd2\uff08\u5206\u5e03\uff09\u300d\u304c\u540c\u3058\u5668\u306b\u5165\u308b\u611f\u89e6\u304c\u5f97\u3089\u308c\u308b[22]<\/a>\u3002<\/p>\n

\u524d\u56de<\/a>\u306f\u73fe\u5834\u306e\u5165\u53e3\u3068\u3057\u3066\u300c\u30b7\u30d5\u30c8\u5272\u5f53\u300d\u3092\u6271\u3063\u305f\u3002\u6b21\u56de\u306f\u3001(1) \u5236\u7d04\u3092\u7f70\u70b9\u306b\u3059\u308b\u8a2d\u8a08\u306e\u539f\u7406\u3001(2) BQM \u3092\u78ba\u7387\u30fb\u5b66\u7fd2\u306e\u5074\u3078\u56de\u3059\u898b\u65b9\u3001(3) \u91cf\u5b50\u3068\u53e4\u5178\u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u8a2d\u8a08\uff08\u3069\u3053\u3092\u91cf\u5b50\u306b\u6e21\u3059\u304b\uff09\u3001\u3092\u3001\u3055\u3089\u306b\u5177\u4f53\u5316\u3057\u3066\u3044\u3051\u3070\u3088\u3044\u3002\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u306f\u201c\u59a5\u5354\u201d\u3067\u306f\u306a\u304f\u3001\u5236\u7d04\u3068\u8a55\u4fa1\u306e\u73fe\u5b9f\u306b\u9069\u5fdc\u3057\u305f\u8a2d\u8a08\u30d1\u30bf\u30fc\u30f3\u3068\u3057\u3066\u8aac\u660e\u3067\u304d\u308b\u3002D-Wave \u306e Leap Hybrid Solvers \u3068 minor-embedding \u306e\u8aac\u660e\u306f\u3001\u3053\u306e\u73fe\u5b9f\u3092\u7aef\u7684\u306b\u793a\u3057\u3066\u3044\u308b[23]<\/a>[24]<\/a>\u3002<\/p>\n

\n

8. \u307e\u3068\u3081\uff1a\u7406\u8ad6\u80cc\u666f\u3092\u4e00\u8a00\u3067\u8a00\u3046\u306a\u3089<\/h2>\n

\u7406\u8ad6\u80cc\u666f\u306e\u8981\u70b9\u306f\u5358\u7d14\u3067\u3042\u308b\u3002\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u3001\u65ad\u71b1\u91cf\u5b50\u8a08\u7b97\uff08AQC\uff09\u306e\u767a\u60f3\u306b\u7acb\u3061\u3001\u300c\u7b54\u3048\uff1d\u57fa\u5e95\u72b6\u614b\uff08\u6700\u5c0f\u5316\uff09\u300d\u3068\u3057\u3066\u554f\u984c\u3092\u57cb\u3081\u8fbc\u3093\u3060\u4e0a\u3067\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092\u6642\u9593\u767a\u5c55\u3055\u305b\u308b\u3053\u3068\u3067\u89e3\u3092\u63a2\u7d22\u3059\u308b\u8a08\u7b97\u3067\u3042\u308b\u3002AQC \u306f\u8a08\u7b97\u30e2\u30c7\u30eb\u3068\u3057\u3066\u56de\u8def\u30e2\u30c7\u30eb\u3068\u540c\u7b49\u306e\u529b\u3092\u6301\u3064\u3053\u3068\u304c\u793a\u3055\u308c\u3066\u304a\u308a\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306f\u305d\u306e\u4e2d\u3067\u6700\u9069\u5316\u306b\u5bc4\u305b\u305f\u5b9f\u88c5\u5fd7\u5411\u306e\u4e00\u65cf\u3068\u3057\u3066\u4f4d\u7f6e\u3065\u304f\u3002\u4e00\u65b9\u3067\u3001\u6210\u529f\u6761\u4ef6\u306f\u30ae\u30e3\u30c3\u30d7\u3084\u958b\u653e\u7cfb\u52b9\u679c\u306b\u4f9d\u5b58\u3057\u3001\u901f\u5ea6\u512a\u4f4d\u306f\u5b9a\u7fa9\u3068\u6bd4\u8f03\u8a2d\u8a08\u306b\u4f9d\u5b58\u3059\u308b\u3002\u3060\u304b\u3089\u3053\u305d\u3001\u7406\u8ad6\u3092\u7406\u89e3\u3059\u308b\u3053\u3068\u306f\u300c\u904e\u5270\u671f\u5f85\u3092\u6368\u3066\u308b\u300d\u305f\u3081\u3067\u306f\u306a\u304f\u3001\u300c\u9069\u7528\u9818\u57df\u3092\u898b\u6975\u3081\u308b\u300d\u305f\u3081\u306b\u5fc5\u8981\u306a\u306e\u3067\u3042\u308b[1]<\/a>[11]<\/a>[21]<\/a>\u3002<\/p>\n

\u7d9a\u304d\u306f\u3053\u3061\u3089<\/a>\u3002<\/p>\n

\n

Appendix\uff1a\u6570\u5f0f\u3068\u7528\u8a9e\u306e\u6700\u5c0f\u6574\u7406\uff08\u672c\u6587\u306e\u88dc\u52a9\uff09<\/h2>\n

\u672c\u6587\u306f\u6570\u5f0f\u306a\u3057\u3067\u901a\u3057\u305f\u3002\u3053\u3053\u3067\u306f\u3001\u672c\u6587\u306e\u8a00\u8449\u304c\u4f55\u306b\u5bfe\u5fdc\u3057\u3066\u3044\u308b\u304b\u3092\u3001\u6700\u5c0f\u9650\u3060\u3051\u56fa\u5b9a\u3059\u308b\u3002\u7d30\u90e8\u306e\u5c0e\u51fa\u3088\u308a\u300c\u4f55\u3092\u5165\u529b\u3068\u3057\u3066\u4e0e\u3048\u308b\u306e\u304b\u300d\u300c\u3069\u3053\u306b\u7406\u8ad6\u6761\u4ef6\u304c\u5165\u308b\u306e\u304b\u300d\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306e\u4ed8\u9332\u3067\u3042\u308b\u3002<\/p>\n

A.1 QUBO \/ Ising \/ BQM<\/h3>\n

\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\u306e\u5165\u529b\u306f\u3001QUBO\uff08 0 \/ 1 \uff09\u307e\u305f\u306f Ising\uff08 \u2212 1 \/ + 1 \uff09\u3068\u3057\u3066\u4e0e\u3048\u3089\u308c\u3001\u4e00\u822c\u306b BQM\uff08Binary Quadratic Model\uff09\u3068\u3044\u3046\u5668\u3067\u7d71\u4e00\u7684\u306b\u6271\u3048\u308b\u3002D-Wave \u306e\u30c9\u30ad\u30e5\u30e1\u30f3\u30c8\u306f\u4e21\u5f62\u5f0f\u3092\u8aac\u660e\u3057\u3001Ocean\uff08dimod\uff09\u306f\u5909\u63db API \u3092\u63d0\u4f9b\u3059\u308b[5]<\/a>[13]<\/a>[14]<\/a>[15]<\/a>\u3002<\/p>\n

A.2 \u65ad\u71b1\u5b9a\u7406\u3068\u30ae\u30e3\u30c3\u30d7\u4f9d\u5b58<\/h3>\n

\u65ad\u71b1\u306f\u300c\u6642\u9593\u767a\u5c55\u3092\u5341\u5206\u3086\u3063\u304f\u308a\u306b\u3059\u308c\u3070\u3088\u3044\u300d\u3068\u3044\u3046\u5358\u7d14\u5316\u3067\u8a9e\u3089\u308c\u304c\u3061\u3060\u304c\u3001\u53b3\u5bc6\u306b\u306f\u30ae\u30e3\u30c3\u30d7\u4f9d\u5b58\u306e\u8a55\u4fa1\u304c\u91cd\u8981\u306b\u306a\u308b\u3002\u53e4\u5178\u7684\u57fa\u790e\u3068\u3057\u3066 Born\u2013Fock\u3001\u5b9a\u5f0f\u5316\u3068\u3057\u3066 Kato\u3001\u91cf\u5b50\u8a08\u7b97\u3078\u306e\u5fdc\u7528\u3068\u3057\u3066 Farhi\u3001\u4e0a\u754c\u8a55\u4fa1\u306e\u6574\u7406\u3068\u3057\u3066 Jansen\u2013Ruskai\u2013Seiler \u3092\u53c2\u7167\u3059\u308c\u3070\u3001\u672c\u6587\u3067\u89e6\u308c\u305f\u8ad6\u70b9\u306e\u4f4d\u7f6e\u3065\u3051\u304c\u660e\u78ba\u306b\u306a\u308b[7]<\/a>[8]<\/a>[9]<\/a>[10]<\/a>\u3002<\/p>\n

A.3 \u5b9f\u6a5f\u306e\u904b\u7528\uff1a\u57cb\u3081\u8fbc\u307f\u3068\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9<\/h3>\n

QPU \u306f\u7d50\u5408\u69cb\u9020\u306b\u5236\u7d04\u304c\u3042\u308a\u3001\u4efb\u610f\u306e BQM \u3092\u76f4\u63a5\u8f09\u305b\u308b\u306b\u306f minor-embedding \u304c\u5fc5\u8981\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308b\u3002Leap \u306e\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9\u30fb\u30bd\u30eb\u30d0\u306f\u3001\u3053\u306e\u524d\u51e6\u7406\u3084\u53e4\u5178\u6700\u9069\u5316\u3092\u7d44\u307f\u5408\u308f\u305b\u3066\u5927\u898f\u6a21\u554f\u984c\u3078\u5bfe\u5fdc\u3059\u308b\u8a2d\u8a08\u3068\u3057\u3066\u8aac\u660e\u3055\u308c\u3066\u3044\u308b[23]<\/a>[24]<\/a>\u3002<\/p>\n

\u7d9a\u304d\u306f\u3053\u3061\u3089<\/a>\u3002<\/p>\n

\n

\u53c2\u8003\u6587\u732e<\/h2>\n
    \n
  1. Tameem Albash, Daniel A. Lidar, \u201cAdiabatic quantum computation\u201d (Reviews of Modern Physics, 2018). https:\/\/link.aps.org\/doi\/10.1103\/RevModPhys.90.015002<\/a><\/li>\n
  2. Satoshi Morita, Hidetoshi Nishimori, \u201cMathematical foundation of quantum annealing\u201d (Journal of Mathematical Physics, 2008). https:\/\/pubs.aip.org\/aip\/jmp\/article\/49\/12\/125210\/231148\/Mathematical-foundation-of-quantum-annealing<\/a><\/li>\n
  3. C. R. Laumann, R. Moessner, A. Scardicchio, S. L. Sondhi, \u201cQuantum annealing: the fastest route to quantum computation?\u201d (EPJ ST, 2015). https:\/\/link.springer.com\/article\/10.1140\/epjst\/e2015-02344-2<\/a><\/li>\n
  4. Sabine Jansen, Mary-Beth Ruskai, Ruedi Seiler, \u201cBounds for the adiabatic approximation with applications to quantum computation\u201d (J. Math. Phys., 2007). https:\/\/pubs.aip.org\/aip\/jmp\/article\/48\/10\/102111\/379272\/Bounds-for-the-adiabatic-approximation-with<\/a><\/li>\n
  5. D-Wave Documentation, \u201cQUBOs and Ising Models\u201d. https:\/\/docs.dwavequantum.com\/en\/latest\/quantum_research\/qubo_ising.html<\/a><\/li>\n
  6. D-Wave Support, \u201cWhat Is a Binary Quadratic Model (BQM)?\u201d https:\/\/support.dwavesys.com\/hc\/en-us\/articles\/360009944734-What-Is-a-Binary-Quadratic-Model-BQM<\/a><\/li>\n
  7. Max Born, Vladimir Fock, \u201cBeweis des Adiabatensatzes\u201d (Zeitschrift f\u00fcr Physik, 1928). https:\/\/link.springer.com\/article\/10.1007\/BF01343193<\/a><\/li>\n
  8. Tosio Kato, \u201cOn the Adiabatic Theorem of Quantum Mechanics\u201d (J. Phys. Soc. Jpn., 1950). https:\/\/journals.jps.jp\/doi\/10.1143\/JPSJ.5.435<\/a><\/li>\n
  9. Edward Farhi, Jeffrey Goldstone, Sam Gutmann, Michael Sipser, \u201cQuantum Computation by Adiabatic Evolution\u201d (arXiv, 2000). https:\/\/arxiv.org\/abs\/quant-ph\/0001106<\/a><\/li>\n
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    \u524d\u56de\u306e\u8a18\u4e8b\u3067\u306f\u3001\u91cf\u5b50\u30a2\u30cb\u30fc\u30ea\u30f3\u30b0\uff08Quantum Annealing\uff09\u3092\u300c\u73fe\u5834\u306e\u6700\u9069\u5316\u554f\u984c\u3092 QUBO \/ Ising \u306b\u7ffb\u8a33\u3057\u3001\u91cf\u5b50\u63fa\u3089\u304e\u3092\u4f7f\u3063\u3066\u63a2\u7d22\u3059\u308b\u9053\u5177\u300d\u3068\u3057\u3066\u8aac\u660e\u3057\u305f\u3002\u6b21\u306b\u5fc5\u8981\u306a\u306e\u306f\u3001\u305d\u306e\u80cc\u9aa8\u3067\u3042\u308b\u7406\u8ad6\u80cc\u666f\u3092\u3001 … \u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[26,23,14],"tags":[],"class_list":["post-3452","post","type-post","status-publish","format-standard","hentry","category-math","category-philosophy","category-tech"],"_links":{"self":[{"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/posts\/3452","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/comments?post=3452"}],"version-history":[{"count":10,"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/posts\/3452\/revisions"}],"predecessor-version":[{"id":4201,"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/posts\/3452\/revisions\/4201"}],"wp:attachment":[{"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/media?parent=3452"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/categories?post=3452"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.id774.net\/entry\/wp-json\/wp\/v2\/tags?post=3452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}