{"id":919,"date":"2026-10-14T17:00:00","date_gmt":"2026-10-14T08:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=919"},"modified":"2026-10-14T05:28:37","modified_gmt":"2026-10-13T20:28:37","slug":"qs-research-fock-cutoff-20261014","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=919","title":{"rendered":"Fock\u6253\u3061\u5207\u308a\u3001\u91cf\u5b50\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3\u3067\u6b8b\u3059\u72b6\u614b\u6570\u3092\u3069\u3046\u6c7a\u3081\u308b\u304b"},"content":{"rendered":"<p>\u91cf\u5b50\u306e\u632f\u52d5\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u300c\u4f55\u56de\u6e2c\u308b\u304b\u300d\u306e\u524d\u306b\u3001\u8a08\u7b97\u306e\u4e2d\u3078\u4f55\u6bb5\u306e\u72b6\u614b\u3092\u7528\u610f\u3059\u308b\u304b\u3092\u6c7a\u3081\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u6570\u304c\u8db3\u308a\u306a\u3051\u308c\u3070\u3001\u6e2c\u5b9a\u56de\u6570\u3092\u5897\u3084\u3057\u3066\u3082\u3001\u8a08\u7b97\u304b\u3089\u629c\u3051\u843d\u3061\u305f\u72b6\u614b\u306f\u623b\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>Open Quantum Design\uff08OQD\uff09\u306e\u516c\u958b\u30a8\u30df\u30e5\u30ec\u30fc\u30bf\u30fc\u306b\u306f\u3001\u30e2\u30fc\u30c9\u306e\u72b6\u614b\u6570\u3092\u6307\u5b9a\u3059\u308b<code>fock_cutoff<\/code>\u304c\u3042\u308a\u307e\u3059\u3002Fock\uff08\u30d5\u30a9\u30c3\u30af\uff09\u6253\u3061\u5207\u308a\u3068\u306f\u4f55\u3092\u5207\u308a\u3001\u7d50\u679c\u3092\u3069\u3046\u5909\u3048\u308b\u306e\u304b\u3002\u56fa\u5b9a\u7248\u306eOQD\u3068\u3001\u305d\u306e\u4f9d\u5b58\u5148\u3067\u3042\u308bQuTiP 5.1.1\u306e\u5b9f\u88c5\u3092\u8aad\u307f\u3001\u5c0f\u3055\u306a\u72ec\u7acb\u8a08\u7b97\u3067\u78ba\u304b\u3081\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<section class=\"influvetor-quick-summary\" aria-label=\"\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f\">\n<p><strong>\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f<\/strong><\/p>\n<ul>\n<li>\u4fdd\u6301\u3059\u308b\u72b6\u614b\u6570\u3092N\u3068\u3059\u308b\u3068\u3001\u6570\u3048\u308b\u306e\u306f\u52b1\u8d77\u65700\u304b\u3089N\u22121\u307e\u3067\u3067\u3059\u3002N\u306f\u6e2c\u5b9a\u56de\u6570\u3067\u3082\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u3067\u3082\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<li>\u6709\u9650\u306e\u884c\u5217\u3067\u306f\u3001\u6700\u4e0a\u4f4d\u304b\u3089\u4e00\u6bb5\u4e0a\u3078\u79fb\u308b\u4f5c\u7528\u304c\u8868\u305b\u307e\u305b\u3093\u3002\u78ba\u7387\u306e\u5408\u8a08\u304c1\u3067\u3082\u3001\u5341\u5206\u306a\u8a08\u7b97\u7bc4\u56f2\u3092\u78ba\u4fdd\u3067\u304d\u305f\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/li>\n<li>\u72b6\u614b\u6570\u3092\u5897\u3084\u3057\u3001\u5fc5\u8981\u306a\u6642\u523b\u3068\u89b3\u6e2c\u91cf\u3067\u7d50\u679c\u306e\u5909\u5316\u3092\u6bd4\u3079\u307e\u3059\u3002\u5e73\u5747\u5024\u306e\u4e00\u81f4\u3060\u3051\u3092\u3001\u5168\u5206\u5e03\u3084\u5b9f\u6a5f\u30e2\u30c7\u30eb\u306e\u6b63\u3057\u3055\u3078\u5e83\u3052\u306a\u3044\u3053\u3068\u304c\u5927\u5207\u3067\u3059\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>Fock\u6253\u3061\u5207\u308a\u306f\u3001\u8a08\u7b97\u306b\u6b8b\u3059\u72b6\u614b\u306e\u7bc4\u56f2<\/h2>\n<p>\u5149\u306e\u4e00\u3064\u306e\u30e2\u30fc\u30c9\u306a\u3069\u3092\u3001\u91cf\u5b50\u8abf\u548c\u632f\u52d5\u5b50\u3068\u3057\u3066\u6271\u3046\u30e2\u30c7\u30eb\u3092\u8003\u3048\u307e\u3059\u3002\u30e2\u30fc\u30c9\u306f\u3001\u3053\u3053\u3067\u306f\u72ec\u7acb\u3057\u305f\u4e00\u3064\u306e\u632f\u52d5\u306e\u81ea\u7531\u5ea6\u3067\u3059\u3002\u305d\u306e\u52b1\u8d77\u304c0\u500b\u30011\u500b\u30012\u500b\u2026\u2026\u3068\u6c7a\u307e\u3063\u305f\u72b6\u614b\u3092Fock\u72b6\u614b\u3068\u547c\u3073\u307e\u3059\u3002\u7406\u60f3\u7684\u306a\u632f\u52d5\u5b50\u306b\u306f\u4e0a\u9650\u304c\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u3067\u306f\u6709\u9650\u306e\u72b6\u614b\u6570\u306b\u533a\u5207\u3063\u3066\u8868\u3059\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>QuTiP\u306e<code>destroy(N)<\/code>\u3084<code>create(N)<\/code>\u306f\u3001N\u500b\u306e\u72b6\u614b\u3092\u6301\u3064\u884c\u5217\u3092\u4f5c\u308a\u307e\u3059\u3002\u901a\u5e38\u306e\u4e0b\u96500\u306e\u8a2d\u5b9a\u306a\u3089\u3001N=4\u3067\u6b8b\u308b\u306e\u306f0\u30011\u30012\u30013\u306e4\u72b6\u614b\u3067\u3059\u3002\u300c\u52b1\u8d77\u65704\u307e\u3067\u542b\u3080\u300d\u3068\u3044\u3046\u610f\u5473\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u751f\u6210\u6f14\u7b97\u5b50\u306f\u52b1\u8d77\u3092\u4e00\u3064\u5897\u3084\u3059\u4f5c\u7528\u3001\u6d88\u6ec5\u6f14\u7b97\u5b50\u306f\u4e00\u3064\u6e1b\u3089\u3059\u4f5c\u7528\u3092\u8868\u3057\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><a href=\"#ref-4\">[4]<\/a><\/sup><\/p>\n<p>\u78ba\u8a8d\u3057\u305fOQD\u306e\u5b9f\u88c5\u306f\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u306b2\u6b21\u5143\u3001\u30e2\u30fc\u30c9\u306b<code>fock_cutoff<\/code>\u6b21\u5143\u3092\u5272\u308a\u5f53\u3066\u3001\u305d\u308c\u3089\u3092\u7d44\u307f\u5408\u308f\u305b\u3066\u521d\u671f\u72b6\u614b\u3092\u4f5c\u308a\u307e\u3059\u3002\u30e2\u30fc\u30c9\u306e\u751f\u6210\u30fb\u6d88\u6ec5\u6f14\u7b97\u5b50\u3082\u3001\u540c\u3058\u5024\u3092QuTiP\u3078\u6e21\u3057\u3066\u69cb\u6210\u3057\u307e\u3059\u3002\u5f15\u6570\u30af\u30e9\u30b9\u306e\u65e2\u5b9a\u5024\u306f4\u3067\u3059\u304c\u3001\u3053\u308c\u306f\u30b3\u30fc\u30c9\u306e\u521d\u671f\u8a2d\u5b9a\u3067\u3042\u308a\u3001\u3069\u306e\u554f\u984c\u3067\u30824\u72b6\u614b\u3067\u5341\u5206\u3068\u3044\u3046\u63a8\u5968\u5024\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><\/sup><\/p>\n<h2>\u884c\u5217\u306e\u6700\u4e0a\u4f4d\u306b\u306f\u3001\u672c\u6765\u306a\u3044\u5883\u754c\u304c\u3067\u304d\u308b<\/h2>\n<p>\u7121\u9650\u306b\u72b6\u614b\u3092\u6301\u3064\u632f\u52d5\u5b50\u306a\u3089\u3001\u52b1\u8d77\u65703\u306e\u72b6\u614b\u3078\u751f\u6210\u6f14\u7b97\u5b50\u3092\u4f5c\u7528\u3055\u305b\u308b\u3068\u3001\u52b1\u8d77\u65704\u306e\u72b6\u614b\u3078\u9032\u307f\u307e\u3059\u3002\u3068\u3053\u308d\u304cN=4\u306e\u884c\u5217\u306b\u306f\u3001\u305d\u306e\u884c\u304d\u5148\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u6700\u4e0a\u4f4d\u306e3\u3078\u540c\u3058\u4f5c\u7528\u3092\u4e0e\u3048\u305f\u7d50\u679c\u306f\u3001\u30bc\u30ed\u30d9\u30af\u30c8\u30eb\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u300c\u771f\u7a7a\u306e\u72b6\u614b0\u306b\u623b\u308b\u300d\u3068\u3044\u3046\u610f\u5473\u3067\u3082\u3001\u5b9f\u7269\u304c\u305d\u308c\u4ee5\u4e0a\u52b1\u8d77\u3055\u308c\u306a\u3044\u3068\u3044\u3046\u610f\u5473\u3067\u3082\u306a\u304f\u3001\u6709\u9650\u306e\u8868\u73fe\u306b\u884c\u304d\u5148\u304c\u306a\u3044\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u9055\u3044\u306f\u3001\u4e0a\u3052\u308b\u4f5c\u7528\u3068\u4e0b\u3052\u308b\u4f5c\u7528\u3092\u9806\u306b\u884c\u3063\u305f\u7d50\u679c\u306b\u3082\u73fe\u308c\u307e\u3059\u3002\u7121\u9650\u7cfb\u3067\u306f\u3001\u305d\u306e\u9806\u5e8f\u3092\u5165\u308c\u66ff\u3048\u305f\u5dee<code>[a, a\u2020]<\/code>\u306f\u5358\u4f4d\u884c\u5217\u3067\u3059\u3002\u4e00\u65b9\u3001N\u72b6\u614b\u3078\u5207\u3063\u305f\u884c\u5217\u3067\u306f\u3001<code>[a_N, a_N\u2020] = I \u2212 N|N\u22121\u27e9\u27e8N\u22121|<\/code>\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067<code>I<\/code>\u306f\u72b6\u614b\u3092\u5909\u3048\u306a\u3044\u5358\u4f4d\u884c\u5217\u3001\u6700\u5f8c\u306e\u9805\u306f\u6700\u4e0a\u4f4d\u306e\u72b6\u614b\u3060\u3051\u306b\u4f5c\u7528\u3059\u308b\u9805\u3067\u3059\u3002N=4\u306a\u3089\u5bfe\u89d2\u6210\u5206\u306f1\u30011\u30011\u3001\u22123\u3068\u306a\u308a\u3001\u5883\u754c\u3060\u3051\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u56fa\u5b9a\u5b9f\u88c5\u306e\u884c\u5217\u304b\u3089\u6c42\u3081\u305f\u95a2\u4fc2\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<p>\u8a08\u7b97\u3057\u305f\u72b6\u614b\u304c\u4e0a\u306e\u65b9\u307e\u3067\u5e83\u304c\u308b\u3068\u3001\u3053\u306e\u5883\u754c\u304c\u6642\u9593\u5909\u5316\u3078\u5f71\u97ff\u3057\u5f97\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u51fa\u529b\u304c\u6ed1\u3089\u304b\u306b\u898b\u3048\u308b\u3053\u3068\u3084\u3001\u78ba\u7387\u306e\u5408\u8a08\u304c1\u3067\u3042\u308b\u3053\u3068\u3060\u3051\u3067\u306f\u3001\u6253\u3061\u5207\u308a\u304c\u5341\u5206\u304b\u3092\u5224\u65ad\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<h2>\u78ba\u7387\u306e\u5408\u8a08\u304c1\u3067\u3082\u3001\u5e73\u5747\u5024\u306f\u5909\u308f\u308b<\/h2>\n<p>\u5177\u4f53\u4f8b\u3068\u3057\u3066\u3001\u6700\u521d\u306f\u52b1\u8d77\u65700\u306e\u771f\u7a7a\u72b6\u614b\u3092\u7528\u610f\u3057\u3001\u52b1\u8d77\u3092\u5897\u6e1b\u3055\u305b\u308b\u4e00\u5b9a\u306e\u99c6\u52d5\u3092\u52a0\u3048\u307e\u3059\u3002\u6642\u9593\u3068\u99c6\u52d5\u306e\u5f37\u3055\u3092\u307e\u3068\u3081\u305f\u7121\u6b21\u5143\u306e\u91cf\u3092\u03c4\u3068\u3057\u3001<code>\u0127=1<\/code>\u3001\u6642\u9593\u767a\u5c55\u3092\u5b9a\u3081\u308b\u884c\u5217\u3092<code>H_N=i(a_N\u2020\u2212a_N)<\/code>\u3068\u7f6e\u304d\u307e\u3059\u3002\u03c4\u306f\u8aac\u660e\u7528\u306b\u898f\u683c\u5316\u3057\u305f\u6642\u9593\u3067\u3042\u308a\u3001\u79d2\u3084\u5b9f\u6a5f\u306e\u30d1\u30eb\u30b9\u6761\u4ef6\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u4f8b\u306b\u306f\u74b0\u5883\u306b\u3088\u308b\u6e1b\u8870\u3092\u5165\u308c\u3066\u3044\u307e\u305b\u3093\u3002<\/p>\n<p>\u72b6\u614b\u6570\u3092\u5236\u9650\u3057\u306a\u3044\u540c\u3058\u30e2\u30c7\u30eb\u3067\u306f\u3001\u03c4\u306e\u3068\u304d\u306b\u5b9f\u6570\u632f\u5e45\u03b1=\u03c4\u306e\u30b3\u30d2\u30fc\u30ec\u30f3\u30c8\u72b6\u614b\u3068\u306a\u308a\u3001\u5e73\u5747\u52b1\u8d77\u6570\u306f\u03c4\u00b2\u3067\u3059\u3002\u305d\u3053\u3067\u03c4=2\u3001\u5e73\u5747\u52b1\u8d77\u65704\u3068\u306a\u308b\u5834\u5408\u3092\u3001\u6709\u9650\u306e\u884c\u5217\u3067\u6bd4\u8f03\u3057\u307e\u3057\u305f\u3002\u6709\u9650\u5074\u306f\u884c\u5217\u306e\u6307\u6570\u95a2\u6570\u304b\u3089\u72b6\u614b\u3092\u8a08\u7b97\u3057\u3001\u5225\u306b\u7d44\u3093\u3060\u7d1a\u6570\u8a08\u7b97\u3067\u3082\u7167\u5408\u3057\u3066\u3044\u307e\u3059\u3002OQD\u3084QuTiP\u672c\u4f53\u306e\u5b9f\u884c\u7d50\u679c\u3067\u306f\u306a\u304f\u3001\u516c\u958b\u5b9f\u88c5\u306e\u884c\u5217\u5b9a\u7fa9\u306b\u57fa\u3065\u304f\u72ec\u7acb\u3057\u305f\u6570\u5b66\u7684\u691c\u7b97\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><a href=\"#ref-3\">[3]<\/a><\/sup><\/p>\n<div style=\"width:720px;max-width:100%;margin:1.5em auto;overflow-x:auto;\">\n<table style=\"width:100%;min-width:630px;border-collapse:collapse;\">\n<caption>\u4fdd\u6301\u72b6\u614b\u6570\u3092\u5897\u3084\u3057\u305f\u6bd4\u8f03\u3002\u03c4=2\u3001\u7121\u9650\u7cfb\u306e\u5e73\u5747\u52b1\u8d77\u65704\u3092\u57fa\u6e96\u3068\u3057\u305f\u72ec\u7acb\u8a08\u7b97\u3002\u6570\u5024\u306f\u4e38\u3081\u3066\u8868\u793a\u3002<\/caption>\n<thead>\n<tr>\n<th scope=\"col\">\u4fdd\u6301\u3059\u308b\u72b6\u614b\u6570N<\/th>\n<th scope=\"col\">\u52b1\u8d77\u6570\u306e\u7bc4\u56f2<\/th>\n<th scope=\"col\">\u5e73\u5747\u52b1\u8d77\u6570<\/th>\n<th scope=\"col\">4\u3068\u306e\u5dee\u306e\u7d76\u5bfe\u5024<\/th>\n<th scope=\"col\">\u78ba\u7387\u306e\u5408\u8a08<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>4<\/td>\n<td>0\u301c3<\/td>\n<td>2.563436<\/td>\n<td>\u7d041.44<\/td>\n<td>1.000000<\/td>\n<\/tr>\n<tr>\n<td>8<\/td>\n<td>0\u301c7<\/td>\n<td>3.921905<\/td>\n<td>\u7d040.0781<\/td>\n<td>1.000000<\/td>\n<\/tr>\n<tr>\n<td>12<\/td>\n<td>0\u301c11<\/td>\n<td>3.998949<\/td>\n<td>\u7d040.00105<\/td>\n<td>1.000000<\/td>\n<\/tr>\n<tr>\n<td>20<\/td>\n<td>0\u301c19<\/td>\n<td>4.000000<\/td>\n<td>\u7d048.79\u00d710<sup>\u22129<\/sup><\/td>\n<td>1.000000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u72ed\u3044\u753b\u9762\u3067\u306f\u8868\u3092\u6a2a\u306b\u30b9\u30af\u30ed\u30fc\u30eb\u3067\u304d\u307e\u3059\u3002N=4\u3067\u306f\u3001\u305d\u3082\u305d\u3082\u52b1\u8d77\u65703\u307e\u3067\u3057\u304b\u6b8b\u3057\u3066\u3044\u306a\u3044\u306e\u3067\u3001\u5e73\u57474\u3092\u8868\u3059\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002N\u3092\u5897\u3084\u3059\u3068\u3001\u3053\u306e\u4f8b\u3067\u306f\u5e73\u5747\u5024\u304c\u7121\u9650\u7cfb\u306e\u5024\u306b\u8fd1\u3065\u304d\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u3059\u3079\u3066\u306e\u884c\u3067\u78ba\u7387\u306e\u5408\u8a08\u306f\u540c\u3058\u3088\u3046\u306b1\u3067\u3059\u3002\u6709\u9650\u884c\u5217\u306e\u6642\u9593\u767a\u5c55\u81ea\u4f53\u306f\u6b63\u898f\u5316\u3092\u4fdd\u3064\u305f\u3081\u3001\u629c\u3051\u843d\u3061\u305f\u72b6\u614b\u306e\u5f71\u97ff\u306f\u300c\u78ba\u7387\u306e\u5408\u8a08\u304c\u6e1b\u308b\u300d\u3068\u3044\u3046\u5f62\u3067\u306f\u73fe\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>QuTiP\u306e\u30b3\u30d2\u30fc\u30ec\u30f3\u30c8\u72b6\u614b\u3092\u4f5c\u308b\u5b9f\u88c5\u3082\u3001\u4e8c\u3064\u306e\u4f5c\u308a\u65b9\u3092\u533a\u5225\u3057\u3066\u3044\u307e\u3059\u3002\u6709\u9650\u7a7a\u9593\u306e\u5909\u4f4d\u6f14\u7b97\u5b50\u3067\u4f5c\u308b<code>operator<\/code>\u65b9\u5f0f\u306f\u6b63\u898f\u5316\u3092\u4fdd\u3061\u307e\u3059\u3002\u4e00\u65b9\u3001\u7121\u9650\u7cfb\u306e\u89e3\u6790\u5f0f\u304b\u3089\u4fc2\u6570\u3092\u53d6\u308a\u51fa\u3059<code>analytic<\/code>\u65b9\u5f0f\u3067\u306f\u3001\u5c11\u306a\u3044\u72b6\u614b\u3067\u5207\u308b\u3068\u78ba\u7387\u306e\u5408\u8a08\u304c1\u306b\u306a\u3089\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u5f8c\u8005\u306e\u4e0d\u8db3\u5206\u3068\u3001\u524d\u8005\u306e\u6b63\u898f\u5316\u6e08\u307f\u306e\u72b6\u614b\u306e\u305a\u308c\u3092\u6df7\u540c\u3057\u306a\u3044\u3053\u3068\u304c\u91cd\u8981\u3067\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-3\">[3]<\/a><\/sup><\/p>\n<h2>\u72b6\u614b\u6570\u3092\u5897\u3084\u3059\u524d\u5f8c\u3067\u3001\u4f55\u3092\u6bd4\u3079\u308b\u304b<\/h2>\n<p>\u5b9f\u969b\u306b\u8a08\u7b97\u7bc4\u56f2\u3092\u9078\u3076\u3068\u304d\u306f\u3001\u6700\u521d\u306b\u5fc5\u8981\u306a\u89b3\u6e2c\u91cf\u3068\u8a31\u5bb9\u3059\u308b\u5909\u5316\u306e\u5927\u304d\u3055\u3092\u6c7a\u3081\u307e\u3059\u3002\u5e73\u5747\u52b1\u8d77\u6570\u304c\u5fc5\u8981\u306a\u3089\u3001\u540c\u3058\u30e2\u30c7\u30eb\u3001\u521d\u671f\u72b6\u614b\u3001\u99c6\u52d5\u3001\u6642\u523b\u306e\u7bc4\u56f2\u3092\u4fdd\u3061\u3001N\u3092\u5897\u3084\u3057\u305f\u3068\u304d\u306e\u5e73\u5747\u5024\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u5206\u5e03\u305d\u306e\u3082\u306e\u304c\u5fc5\u8981\u306a\u3089\u3001\u5404\u72b6\u614b\u306e\u78ba\u7387\u3082\u6bd4\u3079\u307e\u3059\u3002\u5e73\u5747\u5024\u304c\u5408\u3046\u3060\u3051\u3067\u306f\u3001\u5206\u5e03\u5168\u4f53\u304c\u5408\u3063\u3066\u3044\u308b\u3068\u306f\u8a00\u3048\u307e\u305b\u3093\u3002<\/p>\n<p>\u307e\u305f\u3001\u6700\u5f8c\u306e\u6642\u523b\u3060\u3051\u3067\u306a\u304f\u3001\u9014\u4e2d\u306e\u6642\u9593\u5909\u5316\u3082\u78ba\u8a8d\u3057\u307e\u3059\u3002\u6700\u4e0a\u4f4d\u4ed8\u8fd1\u306e\u72b6\u614b\u306b\u78ba\u7387\u304c\u96c6\u307e\u3063\u3066\u3044\u306a\u3044\u304b\u306f\u3001\u5883\u754c\u306e\u5f71\u97ff\u3092\u7591\u3046\u624b\u639b\u304b\u308a\u306b\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u306e\u78ba\u7387\u304c\u5c0f\u3055\u3044\u3068\u3044\u3046\u4e00\u3064\u306e\u6761\u4ef6\u3060\u3051\u3067\u3001\u3059\u3079\u3066\u306e\u89b3\u6e2c\u91cf\u306e\u8aa4\u5dee\u3092\u4fdd\u8a3c\u3067\u304d\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u8868\u306eN=20\u3082\u3001\u3053\u306e\u30e2\u30c7\u30eb\u3068\u6642\u523b\u3067\u306e\u7d50\u679c\u3067\u3042\u308a\u3001\u5225\u306e\u99c6\u52d5\u3084\u9577\u3044\u6642\u9593\u306b\u901a\u7528\u3059\u308b\u4e07\u80fd\u306e\u8a2d\u5b9a\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u72b6\u614b\u6570\u3092\u5897\u3084\u3059\u3068\u3001\u8a08\u7b97\u3067\u6271\u3046\u91cf\u3082\u5897\u3048\u307e\u3059\u3002OQD\u306e\u56fa\u5b9a\u5b9f\u88c5\u3067\u306f\u30e2\u30fc\u30c9\u306e\u72b6\u614b\u7a7a\u9593\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u305f\u3081\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u542b\u307e\u306a\u30442\u30e2\u30fc\u30c9\u306a\u3089N=4\u306716\u6b21\u5143\u3001N=8\u306764\u6b21\u5143\u3067\u3059\u3002\u3053\u308c\u306f\u72b6\u614b\u7a7a\u9593\u306e\u5927\u304d\u3055\u306e\u6bd4\u8f03\u3067\u3042\u308a\u3001\u5b9f\u884c\u6642\u9593\u3084\u30e1\u30e2\u30ea\u30fc\u6d88\u8cbb\u304c\u5fc5\u305a4\u500d\u306b\u306a\u308b\u3068\u3044\u3046\u6e2c\u5b9a\u7d50\u679c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><\/sup><\/p>\n<h2>\u6e2c\u5b9a\u56de\u6570\u3084\u7269\u7406\u30e2\u30c7\u30eb\u306e\u78ba\u8a8d\u3068\u306f\u5206\u3051\u308b<\/h2>\n<p>\u30b7\u30e7\u30c3\u30c8\u6570\u306f\u3001\u540c\u3058\u8a08\u7b97\u4e0a\u306e\u78ba\u7387\u304b\u3089\u4f55\u56de\u306e\u6a21\u64ec\u6e2c\u5b9a\u7d50\u679c\u3092\u53d6\u308a\u51fa\u3059\u304b\u306b\u95a2\u308f\u308a\u307e\u3059\u3002Fock\u6253\u3061\u5207\u308a\u306f\u3001\u305d\u306e\u78ba\u7387\u3092\u4f5c\u308b\u72b6\u614b\u7a7a\u9593\u306e\u7bc4\u56f2\u306b\u95a2\u308f\u308a\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u74b0\u5883\u3068\u306e\u76f8\u4e92\u4f5c\u7528\u3092\u30e2\u30c7\u30eb\u306b\u5165\u308c\u308b\u304b\u3001\u6570\u5024\u8a08\u7b97\u306e\u7cbe\u5ea6\u3092\u3069\u3046\u8a2d\u5b9a\u3059\u308b\u304b\u3082\u5225\u306e\u554f\u984c\u3067\u3059\u3002\u3069\u308c\u304b\u4e00\u3064\u3092\u7d30\u304b\u304f\u3057\u3066\u3082\u3001\u307b\u304b\u306e\u4e0d\u8db3\u304c\u81ea\u52d5\u7684\u306b\u89e3\u6d88\u3059\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u4eca\u56de\u78ba\u8a8d\u3057\u305f\u306e\u306f\u3001OQD\u306e\u56fa\u5b9a\u7248\u304c\u6709\u9650\u6b21\u5143\u3092\u3069\u3046\u6e21\u3059\u304b\u3068\u3001\u305d\u306e\u884c\u5217\u306b\u751f\u3058\u308b\u5883\u754c\u306e\u4e00\u4f8b\u3067\u3059\u3002\u5fc5\u8981\u306a\u72b6\u614b\u6570\u304c\u78ba\u4fdd\u3067\u304d\u305f\u3068\u3057\u3066\u3082\u3001\u63a1\u7528\u3057\u305f\u7269\u7406\u30e2\u30c7\u30eb\u304c\u5b9f\u969b\u306e\u88c5\u7f6e\u306b\u5408\u3046\u304b\u306f\u5225\u9014\u78ba\u304b\u3081\u307e\u3059\u3002\u307e\u305a\u72b6\u614b\u6570\u3092\u5909\u3048\u305f\u6bd4\u8f03\u3067\u6570\u5024\u8868\u73fe\u306e\u7bc4\u56f2\u3092\u70b9\u691c\u3057\u3001\u305d\u306e\u3046\u3048\u3067\u6a19\u672c\u306e\u3070\u3089\u3064\u304d\u3084\u7269\u7406\u7684\u306a\u4eee\u5b9a\u3092\u8a55\u4fa1\u3059\u308b\u3002\u3053\u306e\u9806\u306b\u5206\u3051\u308b\u3068\u3001\u8a08\u7b97\u306e\u4f55\u3092\u6539\u5584\u3059\u3079\u304d\u304b\u304c\u898b\u3048\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u53c2\u8003\u8cc7\u6599<\/h2>\n<p style=\"overflow-wrap:anywhere;word-break:break-word;\">OQD\u306f\u56fa\u5b9a\u30b3\u30df\u30c3\u30c86a086a9843b91d041e76fbd4fed83c5384a14e6e\u3001QuTiP\u30b3\u30fc\u30c9\u306f\u4f9d\u5b58\u72485.1.1\u306e\u56fa\u5b9a\u30b3\u30df\u30c3\u30c87accc77a70a08f965a29fdd13515f79cdcab9703\u3092\u78ba\u8a8d\u3057\u307e\u3057\u305f\u3002\u6700\u65b0\u7248\u4e00\u822c\u306e\u6027\u80fd\u3092\u793a\u3059\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u8868\u3068\u5883\u754c\u5f0f\u306fQuantum Sea\u306b\u3088\u308b\u72ec\u7acb\u8a08\u7b97\u3067\u3059\u3002<\/p>\n<ol style=\"overflow-wrap:anywhere;word-break:break-word;\">\n<li id=\"ref-1\">Open Quantum Design, oqd-analog-emulator <a href=\"https:\/\/github.com\/OpenQuantumDesign\/oqd-analog-emulator\/blob\/6a086a9843b91d041e76fbd4fed83c5384a14e6e\/src\/oqd_analog_emulator\/conversion.py\">conversion.py<\/a>\u3001<a href=\"https:\/\/github.com\/OpenQuantumDesign\/oqd-analog-emulator\/blob\/6a086a9843b91d041e76fbd4fed83c5384a14e6e\/src\/oqd_analog_emulator\/interface.py\">interface.py<\/a>\u3001<a href=\"https:\/\/github.com\/OpenQuantumDesign\/oqd-analog-emulator\/blob\/6a086a9843b91d041e76fbd4fed83c5384a14e6e\/pyproject.toml\">pyproject.toml<\/a>\u3002\u30e2\u30fc\u30c9\u6b21\u5143\u3001\u6f14\u7b97\u5b50\u751f\u6210\u3001\u65e2\u5b9a\u5024\u3068\u4f9d\u5b58\u7248\u3002<\/li>\n<li id=\"ref-2\">QuTiP, <a href=\"https:\/\/github.com\/qutip\/qutip\/blob\/7accc77a70a08f965a29fdd13515f79cdcab9703\/qutip\/core\/operators.py\">operators.py<\/a>\u3002destroy\u3001create\u3001displace\u306e\u6709\u9650\u884c\u5217\u5b9a\u7fa9\u3002<\/li>\n<li id=\"ref-3\">QuTiP, <a href=\"https:\/\/github.com\/qutip\/qutip\/blob\/7accc77a70a08f965a29fdd13515f79cdcab9703\/qutip\/core\/states.py\">states.py<\/a>\u3002coherent\u95a2\u6570\u306eoperator\uff0fanalytic\u65b9\u5f0f\u3001Fock\u57fa\u5e95\u306e\u4fc2\u6570\u3002<\/li>\n<li id=\"ref-4\">QuTiP 5.1 Documentation, <a href=\"https:\/\/qutip.readthedocs.io\/en\/qutip-5.1.x\/guide\/guide-states.html\">Manipulating States and Operators<\/a>\u3002Fock\u72b6\u614b\u3001\u751f\u6210\u30fb\u6d88\u6ec5\u6f14\u7b97\u5b50\u3068\u6570\u6f14\u7b97\u5b50\u306e\u8aac\u660e\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u306e\u632f\u52d5\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u3001\u300c\u4f55\u56de\u6e2c\u308b\u304b\u300d\u306e\u524d\u306b\u3001\u8a08\u7b97\u306e\u4e2d\u3078\u4f55\u6bb5\u306e\u72b6\u614b\u3092\u7528\u610f\u3059\u308b\u304b\u3092\u6c7a\u3081\u308b\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u6570\u304c\u8db3\u308a\u306a\u3051\u308c\u3070\u3001\u6e2c\u5b9a\u56de\u6570\u3092\u5897\u3084\u3057\u3066\u3082\u3001\u8a08\u7b97\u304b\u3089\u629c\u3051\u843d\u3061\u305f\u72b6\u614b\u306f\u623b\u308a\u307e\u305b\u3093\u3002 Open Quantum Desi [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":917,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":false,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[30],"tags":[250,21,184],"class_list":["post-919","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computing","tag-fock-cutoff","tag-21","tag-quantum-computers"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-research-fock-cutoff-20261014-featured-970a0d5c9730.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/919","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=919"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/919\/revisions"}],"predecessor-version":[{"id":921,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/919\/revisions\/921"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/917"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=919"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=919"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}