{"id":938,"date":"2026-10-14T23:00:00","date_gmt":"2026-10-14T14:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=938"},"modified":"2026-10-14T08:28:51","modified_gmt":"2026-10-13T23:28:51","slug":"qs-qutip-steady-state-20261014","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=938","title":{"rendered":"QuTiP\u306e\u5b9a\u5e38\u72b6\u614b\u306f\u4e00\u3064\u3068\u306f\u9650\u3089\u306a\u3044\u3000\u521d\u671f\u72b6\u614b\u3068\u53ce\u675f\u306e\u78ba\u304b\u3081\u65b9"},"content":{"rendered":"<p>\u91cf\u5b50\u7cfb\u306e\u8a08\u7b97\u3067\u300c\u5341\u5206\u306b\u6642\u9593\u304c\u305f\u3063\u305f\u5f8c\u300d\u3092\u77e5\u308a\u305f\u3044\u3068\u304d\u3001QuTiP\u306e<code>steadystate<\/code>\u306f\u4fbf\u5229\u306a\u5165\u53e3\u3067\u3059\u3002\u6642\u9593\u767a\u5c55\u3092\u9577\u304f\u8ffd\u308f\u305a\u306b\u3001\u5909\u5316\u3057\u306a\u3044\u5bc6\u5ea6\u884c\u5217\u3092\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u8fd4\u3063\u3066\u304d\u305f\u4e00\u3064\u306e\u884c\u5217\u3060\u3051\u3067\u306f\u3001\u3069\u306e\u521d\u671f\u72b6\u614b\u304b\u3089\u3082\u305d\u3053\u3078\u843d\u3061\u7740\u304f\u3053\u3068\u3084\u3001\u624b\u5143\u306e\u8a08\u7b97\u6642\u9593\u3067\u5341\u5206\u306b\u8fd1\u3065\u3044\u305f\u3053\u3068\u307e\u3067\u306f\u5206\u304b\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u898b\u5206\u3051\u305f\u3044\u306e\u306f\u3001<strong>\u5b9a\u5e38\u89e3\u304c\u3042\u308b\u3053\u3068\u3001\u5b9a\u5e38\u89e3\u304c\u4e00\u3064\u3067\u3042\u308b\u3053\u3068\u3001\u305d\u306e\u89e3\u3078\u5341\u5206\u306b\u8fd1\u3065\u3044\u305f\u3053\u3068<\/strong>\u3067\u3059\u3002QuTiP 5.1\u306e\u516c\u5f0f\u8cc7\u6599\u3068\u3001\u7248\u3092\u56fa\u5b9a\u3057\u305f5.1.1\u306e\u5b9f\u88c5\u3092\u624b\u639b\u304b\u308a\u306b\u3001\u4e8c\u6e96\u4f4d\u306e\u5c0f\u3055\u306a\u4f8b\u3067\u78ba\u8a8d\u306e\u9806\u5e8f\u3092\u6574\u7406\u3057\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>\u5b9a\u5e38\u72b6\u614b\u306f\u3001\u305d\u306e\u72b6\u614b\u304b\u3089\u51fa\u767a\u3059\u308b\u3068\u5909\u5316\u3057\u306a\u3044\u72b6\u614b\u3067\u3059\u3002\u521d\u671f\u72b6\u614b\u306e\u60c5\u5831\u304c\u6b8b\u308a\u3001\u8907\u6570\u306e\u5b9a\u5e38\u89e3\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3082\u3042\u308a\u307e\u3059\u3002<\/li>\n<li>\u4f4d\u76f8\u3060\u3051\u3092\u5931\u3046\u4e8c\u6e96\u4f4d\u3067\u306f\u5360\u6709\u78ba\u7387\u304c\u6b8b\u308a\u307e\u3059\u3002\u4e0a\u4e0b\u306e\u9077\u79fb\u3092\u5165\u308c\u305f\u4eca\u56de\u306e\u4f8b\u3067\u306f\u5360\u6709\u78ba\u7387\u304c\u4e00\u3064\u306b\u5b9a\u307e\u308a\u307e\u3059\u304c\u3001\u8fd1\u3065\u304f\u901f\u3055\u306f\u6210\u5206\u306b\u3088\u3063\u3066\u9055\u3044\u307e\u3059\u3002<\/li>\n<li>\u5bc6\u5ea6\u884c\u5217\u306e\u6b63\u898f\u5316\u3068\u6b63\u5024\u6027\u3001\u5b9a\u5e38\u65b9\u7a0b\u5f0f\u306e\u6b8b\u5dee\u3001\u96f6\u7a7a\u9593\u3001\u7570\u306a\u308b\u521d\u671f\u72b6\u614b\u304b\u3089\u306e\u6642\u9593\u767a\u5c55\u3092\u3001\u5f79\u5272\u3092\u5206\u3051\u3066\u78ba\u304b\u3081\u307e\u3059\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u300c\u52d5\u304b\u306a\u3044\u72b6\u614b\u3092\u6c42\u3081\u308b\u300d\u3068\u300c\u305d\u3053\u3078\u5230\u9054\u3059\u308b\u300d\u306f\u5225\u306e\u8a08\u7b97<\/h2>\n<p>\u5bc6\u5ea6\u884c\u5217\u03c1\u306f\u3001\u5404\u72b6\u614b\u306b\u3044\u308b\u78ba\u7387\u3068\u3001\u72b6\u614b\u9593\u306e\u4f4d\u76f8\u306e\u95a2\u4fc2\u3092\u307e\u3068\u3081\u305f\u3082\u306e\u3067\u3059\u3002\u6642\u9593\u306b\u4f9d\u5b58\u3057\u306a\u3044Lindblad\u65b9\u7a0b\u5f0f\u3092\u3001d\u03c1\/dt\uff1dL(\u03c1)\u3068\u66f8\u304d\u307e\u3059\u3002L\u306f\u30ea\u30a6\u30f4\u30a3\u30ea\u30a2\u30f3\u3068\u547c\u3070\u308c\u3001\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306b\u3088\u308b\u5909\u5316\u3068\u3001\u74b0\u5883\u306b\u7531\u6765\u3059\u308b\u5909\u5316\u3092\u307e\u3068\u3081\u305f\u4f5c\u7528\u3067\u3059\u3002\u5b9a\u5e38\u72b6\u614b\u03c1<sub>ss<\/sub>\u3067\u306f\u3001\u305d\u306e\u5909\u5316\u304c\u30bc\u30ed\u306b\u306a\u308a\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><a href=\"#ref-3\">[3]<\/a><\/sup><\/p>\n<p style=\"overflow-x:auto;\">L(\u03c1<sub>ss<\/sub>)\uff1d0\u3001tr(\u03c1<sub>ss<\/sub>)\uff1d1<\/p>\n<p>\u524d\u306e\u5f0f\u306f\u300c\u4eca\u304b\u3089\u5909\u308f\u3089\u306a\u3044\u300d\u3001\u5f8c\u306e\u5f0f\u306f\u300c\u78ba\u7387\u306e\u5408\u8a08\u304c1\u300d\u3068\u3044\u3046\u6761\u4ef6\u3067\u3059\u3002\u7269\u7406\u7684\u306a\u5bc6\u5ea6\u884c\u5217\u3067\u3042\u308b\u305f\u3081\u306b\u306f\u3001\u30a8\u30eb\u30df\u30fc\u30c8\u6027\u306b\u52a0\u3048\u3001\u56fa\u6709\u5024\u304c\u8ca0\u306b\u306a\u3089\u306a\u3044\u6b63\u5024\u6027\u3082\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<p>QuTiP\u306e\u901a\u5e38\u306e<code>direct<\/code>\u6cd5\u306f\u3001\u5b9a\u5e38\u65b9\u7a0b\u5f0f\u3078\u30c8\u30ec\u30fc\u30b9\u30921\u306b\u3059\u308b\u6761\u4ef6\u3092\u52a0\u3048\u3066\u7dda\u5f62\u65b9\u7a0b\u5f0f\u3092\u89e3\u304d\u307e\u3059\u3002\u3053\u306e\u8a08\u7b97\u306b\u306f\u3001\u6642\u9593\u767a\u5c55\u306e\u51fa\u767a\u70b9\u3068\u306a\u308b\u521d\u671f\u72b6\u614b\u3092\u6307\u5b9a\u3057\u307e\u305b\u3093\u3002\u4e00\u65b9\u3001\u6642\u9593\u767a\u5c55\u3092\u8a08\u7b97\u3059\u308b<code>mesolve<\/code>\u306a\u3069\u3067\u306f\u521d\u671f\u72b6\u614b\u304c\u5165\u529b\u3067\u3059\u3002\u524d\u8005\u306f\u300c\u5909\u5316\u3057\u306a\u3044\u89e3\u300d\u3092\u63a2\u3057\u3001\u5f8c\u8005\u306f\u300c\u3053\u306e\u51fa\u767a\u70b9\u304b\u3089\u3069\u3053\u3078\u9032\u3080\u304b\u300d\u3092\u8ffd\u3063\u3066\u3044\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-1\">[1]<\/a><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<h2>\u4f4d\u76f8\u3060\u3051\u3092\u5931\u3046\u3068\u3001\u6700\u521d\u306e\u5360\u6709\u78ba\u7387\u304c\u6b8b\u308b<\/h2>\n<p>\u57fa\u5e95\u72b6\u614b\u3092|0\u27e9\u3001\u52b1\u8d77\u72b6\u614b\u3092|1\u27e9\u3068\u3059\u308b\u4e8c\u6e96\u4f4d\u3092\u8003\u3048\u307e\u3059\u3002\u5360\u6709\u78ba\u7387\u3068\u306f\u3001\u305d\u306e\u72b6\u614b\u306b\u3044\u308b\u78ba\u7387\u306e\u3053\u3068\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u52b1\u8d77\u72b6\u614b\u306e\u5360\u6709\u78ba\u7387p<sub>1<\/sub>\uff1d\u03c1<sub>11<\/sub>\u3092\u4f7f\u3044\u307e\u3059\u3002\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3092H\uff1d0\u3068\u3057\u3001\u4f4d\u76f8\u306e\u95a2\u4fc2\u3060\u3051\u3092\u5f31\u3081\u308b\u7d14\u7c8b\u4f4d\u76f8\u7de9\u548c\u3092\u5165\u308c\u307e\u3059\u3002<\/p>\n<p style=\"overflow-x:auto;\">C<sub>\u03c6<\/sub>\uff1d\u221a(\u03b3<sub>\u03c6<\/sub>\/2) Z\u3001Z\uff1d|0\u27e9\u27e80|\u2212|1\u27e9\u27e81|\u3001\u03b3<sub>\u03c6<\/sub>\uff1e0<\/p>\n<p>C\u306f\u74b0\u5883\u306e\u4f5c\u7528\u3092\u8868\u3059\u5d29\u58ca\u6f14\u7b97\u5b50\u3067\u3059\u3002\u3053\u306e\u8a2d\u5b9a\u3092Lindblad\u9805\u3078\u4ee3\u5165\u3059\u308b\u3068\u3001\u5bfe\u89d2\u6210\u5206\u3067\u3042\u308b\u5360\u6709\u78ba\u7387\u306f\u5909\u308f\u3089\u305a\u3001\u975e\u5bfe\u89d2\u6210\u5206\u306f\u03c1<sub>01<\/sub>(t)\uff1d\u03c1<sub>01<\/sub>(0)e<sup>\u2212\u03b3<sub>\u03c6<\/sub>t<\/sup>\u3067\u6e1b\u5c11\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u4f4d\u76f8\u306e\u95a2\u4fc2\u306f\u8584\u308c\u3066\u3082\u3001|0\u27e9\u3068|1\u27e9\u306e\u9593\u3067\u5360\u6709\u78ba\u7387\u3092\u79fb\u3059\u4ed5\u7d44\u307f\u304c\u3042\u308a\u307e\u305b\u3093\u3002<sup class=\"source-note\"><a href=\"#ref-3\">[3]<\/a><\/sup><\/p>\n<p>\u305d\u306e\u305f\u3081\u30010\u2266p\u22661\u3092\u6e80\u305f\u3059<strong>\u3069\u306e\u03c1\uff1ddiag(1\u2212p, p)\u3082\u5b9a\u5e38\u89e3<\/strong>\u3067\u3059\u3002|0\u27e9\u304b\u3089\u59cb\u3081\u308c\u3070p\uff1d0\u3001|1\u27e9\u304b\u3089\u59cb\u3081\u308c\u3070p\uff1d1\u306e\u307e\u307e\u3067\u3059\u3002\u4e21\u8005\u3068\u3082\u6b8b\u5deeL(\u03c1)\u306f\u30bc\u30ed\u3067\u3059\u304c\u3001\u540c\u3058\u72b6\u614b\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002|+\u27e9\uff1d(|0\u27e9\uff0b|1\u27e9)\/\u221a2\u304b\u3089\u59cb\u3081\u305f\u5834\u5408\u306f\u3001\u5360\u6709\u78ba\u73871\/2\u3092\u4fdd\u3063\u305f\u307e\u307e\u4f4d\u76f8\u306e\u6210\u5206\u304c\u6d88\u3048\u3001diag(1\/2, 1\/2)\u3078\u8fd1\u3065\u304d\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u4f8b\u3067\u306f\u3001\u30c8\u30ec\u30fc\u30b91\u306e\u6761\u4ef6\u3092\u52a0\u3048\u3066\u3082\u5360\u6709\u78ba\u7387\u3092\u4e00\u3064\u306b\u6c7a\u3081\u3089\u308c\u307e\u305b\u3093\u3002\u5b9a\u5e38\u65b9\u7a0b\u5f0f\u306e\u89e3\u7a7a\u9593\u306b\u81ea\u7531\u5ea6\u304c\u6b8b\u308b\u305f\u3081\u3067\u3059\u3002\u30bd\u30eb\u30d0\u30fc\u304c\u7279\u7570\u6027\u3092\u77e5\u3089\u305b\u305f\u308a\u3001\u624b\u6cd5\u306b\u3088\u3063\u3066\u89e3\u306e\u4e00\u3064\u304c\u5f97\u3089\u308c\u305f\u308a\u3057\u3066\u3082\u3001\u305d\u308c\u3092\u7279\u5b9a\u306e\u521d\u671f\u72b6\u614b\u304b\u3089\u306e\u9577\u6642\u9593\u5f8c\u306e\u7b54\u3048\u3068\u540c\u4e00\u8996\u3057\u306a\u3044\u3053\u3068\u304c\u5927\u5207\u3067\u3059\u3002<\/p>\n<h2>\u4e0a\u4e0b\u306e\u9077\u79fb\u304c\u3042\u308b\u4f8b\u3067\u306f\u3001\u53ce\u675f\u5148\u3068\u901f\u3055\u3092\u5206\u3051\u3066\u898b\u308b<\/h2>\n<p>\u6b21\u306b\u3001H\uff1d0\u306e\u307e\u307e\u3001|1\u27e9\u304b\u3089|0\u27e9\u3078\u4e0b\u304c\u308b\u904e\u7a0b\u3068\u3001\u9006\u5411\u304d\u306b\u4e0a\u304c\u308b\u904e\u7a0b\u3092\u5165\u308c\u307e\u3059\u3002\u3053\u3053\u304b\u3089\u306f\u7d14\u7c8b\u4f4d\u76f8\u7de9\u548c\u3060\u3051\u306e\u30e2\u30c7\u30eb\u3092\u7f6e\u304d\u63db\u3048\u305f\u3001\u5225\u306e\u8a2d\u5b9a\u3067\u3059\u3002<\/p>\n<p style=\"overflow-x:auto;\">C<sub>\u2193<\/sub>\uff1d\u221a\u03b3<sub>\u2193<\/sub> |0\u27e9\u27e81|\u3001C<sub>\u2191<\/sub>\uff1d\u221a\u03b3<sub>\u2191<\/sub> |1\u27e9\u27e80|\u3001\u03b3<sub>\u2193<\/sub>, \u03b3<sub>\u2191<\/sub>\uff1e0<\/p>\n<p>\u5360\u6709\u78ba\u7387\u306e\u5909\u5316\u306f\u3001\u5165\u3063\u3066\u304f\u308b\u5206\u3068\u51fa\u3066\u3044\u304f\u5206\u306e\u5dee\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p style=\"overflow-x:auto;\">dp<sub>1<\/sub>\/dt\uff1d\u03b3<sub>\u2191<\/sub>(1\u2212p<sub>1<\/sub>)\u2212\u03b3<sub>\u2193<\/sub>p<sub>1<\/sub><\/p>\n<p>\u5909\u5316\u304c\u30bc\u30ed\u306b\u306a\u308b\u5360\u6709\u78ba\u7387\u306f\u3001p<sub>1,ss<\/sub>\uff1d\u03b3<sub>\u2191<\/sub>\/(\u03b3<sub>\u2191<\/sub>\uff0b\u03b3<sub>\u2193<\/sub>)\u3067\u3059\u3002\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f\u975e\u5bfe\u89d2\u6210\u5206\u3082\u6e1b\u8870\u3059\u308b\u306e\u3067\u3001\u5bc6\u5ea6\u884c\u5217\u5168\u4f53\u306e\u5b9a\u5e38\u89e3\u304c\u4e00\u3064\u306b\u5b9a\u307e\u308a\u307e\u3059\u3002\u72b6\u614b\u9593\u3092\u9077\u79fb\u3059\u308b\u7d4c\u8def\u304c\u3067\u304d\u305f\u3053\u3068\u3067\u3001\u6700\u521d\u306e\u5360\u6709\u78ba\u7387\u3092\u4fdd\u6301\u3059\u308b\u81ea\u7531\u5ea6\u304c\u306a\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>\u5177\u4f53\u4f8b\u3068\u3057\u3066\u03b3<sub>\u2193<\/sub>\uff1d3 s<sup>\u22121<\/sup>\u3001\u03b3<sub>\u2191<\/sub>\uff1d1 s<sup>\u22121<\/sup>\u3092\u4eee\u5b9a\u3059\u308b\u3068\u3001\u5b9a\u5e38\u5360\u6709\u78ba\u7387\u306f1\/4\u3067\u3059\u3002\u03c4\uff1d(\u03b3<sub>\u2193<\/sub>\uff0b\u03b3<sub>\u2191<\/sub>)t\uff1d(4 s<sup>\u22121<\/sup>)t\u3092\u7121\u6b21\u5143\u306e\u7d4c\u904e\u6642\u9593\u3068\u3059\u308b\u3068\u3001<\/p>\n<p style=\"overflow-x:auto;\">p<sub>1<\/sub>(t)\uff1d1\/4\uff0b[p<sub>1<\/sub>(0)\u22121\/4]e<sup>\u2212\u03c4<\/sup>\u3001\u03c1<sub>01<\/sub>(t)\uff1d\u03c1<sub>01<\/sub>(0)e<sup>\u2212\u03c4\/2<\/sup><\/p>\n<p>\u3068\u306a\u308a\u307e\u3059\u3002\u4e0b\u306e\u8868\u306f\u3053\u306e\u4eee\u5b9a\u30e2\u30c7\u30eb\u304b\u3089\u8a08\u7b97\u3057\u305f\u5024\u3067\u3059\u3002\u6f14\u7b97\u5b50\u306e\u5f0f\u304b\u3089\u5225\u306b\u7d44\u307f\u7acb\u3066\u305f4\u00d74\u306e\u30ea\u30a6\u30f4\u30a3\u30ea\u30a2\u30f3\u3068\u884c\u5217\u6307\u6570\u3067\u3082\u7167\u5408\u3057\u307e\u3057\u305f\u3002\u5b9f\u9a13\u5024\u3084QuTiP\u672c\u4f53\u306e\u5b9f\u884c\u7d50\u679c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<div style=\"max-width:100%;overflow-x:auto;\" tabindex=\"0\" aria-label=\"\u4eee\u5b9a\u3057\u305f\u4e8c\u6e96\u4f4d\u30e2\u30c7\u30eb\u306e\u6bd4\u8f03\u8868\u3002\u6a2a\u306b\u30b9\u30af\u30ed\u30fc\u30eb\u3067\u304d\u307e\u3059\u3002\">\n<table style=\"width:100%;min-width:620px;border-collapse:collapse;\">\n<caption>\u4e0a\u4e0b\u9077\u79fb\u30e2\u30c7\u30eb\u306e\u8a08\u7b97\u4f8b\u3002\u5360\u6709\u78ba\u7387\u306e2\u5217\u306f\u7570\u306a\u308b\u521d\u671f\u72b6\u614b\u3001\u4f4d\u76f8\u306e\u5217\u306f\u521d\u671f|+\u27e9\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/caption>\n<thead>\n<tr>\n<th scope=\"col\">\u7121\u6b21\u5143\u6642\u9593\u03c4<br \/>\u5b9f\u6642\u9593t<\/th>\n<th scope=\"col\">\u521d\u671f|0\u27e9\u306ep<sub>1<\/sub><\/th>\n<th scope=\"col\">\u521d\u671f|1\u27e9\u306ep<sub>1<\/sub><\/th>\n<th scope=\"col\">\u521d\u671f|+\u27e9\u306e<br \/>|\u03c1<sub>01<\/sub>|<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<th scope=\"row\">0<br \/>0 s<\/th>\n<td>0<\/td>\n<td>1<\/td>\n<td>0.5<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">1<br \/>0.25 s<\/th>\n<td>0.1580<\/td>\n<td>0.5259<\/td>\n<td>0.3033<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">5<br \/>1.25 s<\/th>\n<td>0.2483<\/td>\n<td>0.2551<\/td>\n<td>0.0410<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">\u5341\u5206\u9577\u3044\u6642\u9593\u306e\u6975\u9650<\/th>\n<td>0.25<\/td>\n<td>0.25<\/td>\n<td>0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u03c4\uff1d5\u3067\u306f\u3001\u4e8c\u3064\u306e\u521d\u671f\u72b6\u614b\u306e\u5360\u6709\u78ba\u7387\u306f\u3059\u3067\u306b1\/4\u3078\u304b\u306a\u308a\u8fd1\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u305d\u308c\u3067\u3082\u3001\u521d\u671f|+\u27e9\u306b\u6b8b\u308b\u4f4d\u76f8\u306e\u6210\u5206\u306f\u7d040.0410\u3067\u3059\u3002\u3053\u306e\u6210\u5206\u306f\u5360\u6709\u78ba\u7387\u306e\u305a\u308c\u3088\u308a\u9045\u3044\u6307\u6570\u3067\u6e1b\u8870\u3057\u307e\u3059\u3002\u52b1\u8d77\u78ba\u7387\u3060\u3051\u3092\u898b\u3066\u6b62\u3081\u3066\u3088\u3044\u304b\u3001\u5bc6\u5ea6\u884c\u5217\u5168\u4f53\u306e\u8aa4\u5dee\u3092\u5c0f\u3055\u304f\u3057\u305f\u3044\u306e\u304b\u3067\u3001\u5fc5\u8981\u306a\u8a08\u7b97\u6642\u9593\u306f\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n<h2>\u8a08\u7b97\u7d50\u679c\u306f\u3001\u56db\u3064\u306e\u554f\u3044\u3067\u70b9\u691c\u3059\u308b<\/h2>\n<p><strong>\u6700\u521d\u306f\u3001\u7269\u7406\u7684\u306a\u72b6\u614b\u306b\u306a\u3063\u3066\u3044\u308b\u304b\u3002<\/strong>\u30c8\u30ec\u30fc\u30b9\u3001\u30a8\u30eb\u30df\u30fc\u30c8\u6027\u3001\u56fa\u6709\u5024\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u4e38\u3081\u8aa4\u5dee\u306b\u7531\u6765\u3059\u308b\u5fae\u5c0f\u306a\u8ca0\u5024\u3068\u3001\u5927\u304d\u306a\u8ca0\u5024\u3092\u540c\u3058\u6271\u3044\u306b\u305b\u305a\u3001\u8a31\u5bb9\u8aa4\u5dee\u3092\u8a18\u9332\u3057\u307e\u3059\u3002\u6b63\u898f\u5316\u3057\u76f4\u3057\u305f\u3060\u3051\u3067\u3001\u4e0d\u9069\u5207\u306a\u89e3\u3084\u4e00\u610f\u6027\u306e\u554f\u984c\u304c\u89e3\u6d88\u3059\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p><strong>\u6b21\u306f\u3001\u305d\u306e\u72b6\u614b\u304c\u5b9a\u5e38\u65b9\u7a0b\u5f0f\u3092\u6e80\u305f\u3057\u3066\u3044\u308b\u304b\u3002<\/strong>L(\u03c1)\u306e\u30ce\u30eb\u30e0\u3067\u6b8b\u5dee\u3092\u898b\u307e\u3059\u3002\u6b8b\u5dee\u306f\u30e2\u30c7\u30eb\u5185\u306e\u5909\u5316\u7387\u306a\u306e\u3067\u3001\u6642\u9593\u306e\u5358\u4f4d\u3084L\u306e\u30b9\u30b1\u30fc\u30eb\u3092\u305d\u308d\u3048\u3066\u6bd4\u8f03\u3057\u307e\u3059\u3002\u3059\u3079\u3066\u306e\u901f\u5ea6\u3092\u5c0f\u3055\u304f\u3057\u305f\u3060\u3051\u3067\u3082\u751f\u306e\u6b8b\u5dee\u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u5c0f\u3055\u306a\u6b8b\u5dee\u306f\u6709\u7528\u306a\u78ba\u8a8d\u3067\u3059\u304c\u3001\u5148\u307b\u3069\u306e\u7d14\u7c8b\u4f4d\u76f8\u7de9\u548c\u306e\u4f8b\u306e\u3088\u3046\u306b\u3001\u4e00\u610f\u6027\u306f\u5225\u306b\u8abf\u3079\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u4e09\u3064\u76ee\u306f\u3001\u89e3\u3092\u4e00\u3064\u306b\u6c7a\u3081\u308b\u3060\u3051\u306e\u6761\u4ef6\u304c\u3042\u308b\u304b\u3002<\/strong>\u5c0f\u3055\u306a\u30e2\u30c7\u30eb\u306a\u3089\u3001L\u306e\u96f6\u7a7a\u9593\u3001\u3064\u307e\u308aL\u304c\u30bc\u30ed\u3078\u5199\u3059\u884c\u5217\u306e\u96c6\u5408\u3092\u8abf\u3079\u3089\u308c\u307e\u3059\u3002\u4eca\u56de\u306e\u72ec\u7acb\u8a08\u7b97\u3067\u306f\u3001\u305d\u306e\u6b21\u5143\u306f\u7d14\u7c8b\u4f4d\u76f8\u7de9\u548c\u30672\u3001\u4e0a\u4e0b\u9077\u79fb\u30671\u3067\u3057\u305f\u3002\u30c8\u30ec\u30fc\u30b91\u3068\u3044\u3046\u6761\u4ef6\u3092\u52a0\u3048\u305f\u5f8c\u306b\u81ea\u7531\u5ea6\u304c\u6b8b\u308b\u304b\u304c\u9055\u3044\u307e\u3059\u3002\u6570\u5024\u4e0a\u30bc\u30ed\u3068\u307f\u306a\u3059\u3057\u304d\u3044\u5024\u3092\u5909\u3048\u3066\u3082\u7d50\u679c\u304c\u5b89\u5b9a\u3057\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3057\u3001\u5927\u898f\u6a21\u30fb\u60aa\u6761\u4ef6\u306e\u884c\u5217\u3078\u5c0f\u4f8b\u306e\u7cbe\u5ea6\u3092\u305d\u306e\u307e\u307e\u6301\u3061\u8fbc\u307f\u307e\u305b\u3093\u3002<\/p>\n<p><strong>\u6700\u5f8c\u306f\u3001\u5fc5\u8981\u306a\u7cbe\u5ea6\u307e\u3067\u8fd1\u3065\u3044\u305f\u304b\u3002<\/strong>\u7570\u306a\u308b\u5360\u6709\u78ba\u7387\u304b\u3089\u51fa\u767a\u3055\u305b\u3001\u4f4d\u76f8\u3082\u91cd\u8981\u306a\u3089\u91cd\u306d\u5408\u308f\u305b\u72b6\u614b\u3082\u52a0\u3048\u3066\u3001\u6642\u9593\u3092\u5ef6\u3070\u3057\u305f\u7d50\u679c\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002\u3053\u306e\u4f8b\u3067\u306fL\u306e\u96f6\u3067\u306a\u3044\u56fa\u6709\u5024\u306f\u22124 s<sup>\u22121<\/sup>\u3068\u22122 s<sup>\u22121<\/sup>\u3067\u3001\u4f4d\u76f8\u306e\u6210\u5206\u306e\u307b\u3046\u304c\u9045\u304f\u6e1b\u8870\u3057\u307e\u3059\u3002\u4e00\u822c\u306e\u30e2\u30c7\u30eb\u3067\u3082\u9045\u3044\u6210\u5206\u306e\u6642\u9593\u5c3a\u5ea6\u306f\u624b\u639b\u304b\u308a\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u3044\u304f\u3064\u304b\u306e\u521d\u671f\u72b6\u614b\u3067\u4e00\u81f4\u3057\u305f\u3068\u3044\u3046\u3060\u3051\u3067\u3001\u3059\u3079\u3066\u306e\u521d\u671f\u72b6\u614b\u306b\u3064\u3044\u3066\u306e\u8a3c\u660e\u306b\u306f\u3057\u307e\u305b\u3093\u3002<\/p>\n<h2>QuTiP\u306e\u505c\u6b62\u6761\u4ef6\u3092\u3001\u7269\u7406\u7684\u306a\u4e00\u610f\u6027\u3068\u6df7\u540c\u3057\u306a\u3044<\/h2>\n<p>\u56fa\u5b9a\u3057\u305f5.1.1\u306e\u5b9f\u88c5\u306b\u306f\u3001<code>method='propagator'<\/code>\u3082\u3042\u308a\u307e\u3059\u3002\u521d\u671f\u5bc6\u5ea6\u884c\u5217<code>rho<\/code>\u3078\u6642\u9593\u767a\u5c55\u3092\u7e70\u308a\u8fd4\u3057\u4f5c\u7528\u3055\u305b\u3001\u53cd\u5fa9\u524d\u5f8c\u306e\u72b6\u614b\u306e\u8ddd\u96e2\u304c<code>propagator_tol<\/code>\u4ee5\u4e0b\u306b\u306a\u308b\u3068\u8fd4\u3059\u65b9\u6cd5\u3067\u3059\u3002<code>rho<\/code>\u3092\u7701\u7565\u3057\u305f\u5834\u5408\u306f\u30e9\u30f3\u30c0\u30e0\u306a\u5bc6\u5ea6\u884c\u5217\u304b\u3089\u59cb\u3081\u3001\u53ce\u675f\u3057\u306a\u3044\u5834\u5408\u306f\u53cd\u5fa9\u4e0a\u9650\u3067\u4f8b\u5916\u3092\u8fd4\u3057\u307e\u3059\u3002<sup class=\"source-note\"><a href=\"#ref-2\">[2]<\/a><\/sup><\/p>\n<p>\u3053\u3053\u3067\u5224\u5b9a\u3057\u3066\u3044\u308b\u306e\u306f\u3001\u9078\u3093\u3060\u51fa\u767a\u70b9\u304b\u3089\u306e\u53cd\u5fa9\u304c\u3069\u308c\u3060\u3051\u5909\u5316\u3057\u305f\u304b\u3067\u3059\u3002\u7d14\u7c8b\u4f4d\u76f8\u7de9\u548c\u306e\u3088\u3046\u306b\u5b9a\u5e38\u89e3\u304c\u8907\u6570\u3042\u308b\u7cfb\u3067\u306f\u3001\u5230\u9054\u3059\u308b\u5360\u6709\u78ba\u7387\u306f\u521d\u671f\u72b6\u614b\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u30e2\u30c7\u30eb\u306e\u5909\u5316\u304c\u3068\u3066\u3082\u9045\u3051\u308c\u3070\u3001\u77ed\u3044\u9593\u9694\u3067\u306e\u5909\u5316\u304c\u5c0f\u3055\u3044\u3053\u3068\u3068\u3001\u6700\u7d42\u72b6\u614b\u306b\u8fd1\u3044\u3053\u3068\u306f\u5225\u306b\u306a\u308a\u307e\u3059\u3002\u521d\u671f\u72b6\u614b\u3001\u6642\u9593\u9593\u9694\u3001\u8a31\u5bb9\u8aa4\u5dee\u3092\u5909\u3048\u3066\u78ba\u304b\u3081\u308b\u7406\u7531\u306f\u3053\u3053\u306b\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u610f\u306a\u5b9a\u5e38\u72b6\u614b\u304c\u6b32\u3057\u3044\u306e\u304b\u3001\u4fdd\u5b58\u3055\u308c\u308b\u521d\u671f\u60c5\u5831\u3092\u8abf\u3079\u305f\u3044\u306e\u304b\u3067\u3001\u8a08\u7b97\u7d50\u679c\u306e\u8aad\u307f\u65b9\u306f\u5909\u308f\u308a\u307e\u3059\u3002\u307e\u305a\u74b0\u5883\u3068\u306e\u76f8\u4e92\u4f5c\u7528\u304c\u4f55\u3092\u5909\u3048\u3001\u4f55\u3092\u6b8b\u3059\u30e2\u30c7\u30eb\u306a\u306e\u304b\u3092\u78ba\u8a8d\u3057\u3001\u305d\u306e\u4e0a\u3067\u30bd\u30eb\u30d0\u30fc\u306e\u51fa\u529b\u3068\u6642\u9593\u767a\u5c55\u3092\u7167\u5408\u3059\u308b\u3068\u3001\u5b9a\u5e38\u72b6\u614b\u306e\u8a08\u7b97\u3092\u76ee\u7684\u306b\u7d50\u3073\u4ed8\u3051\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u53c2\u8003\u8cc7\u6599<\/h2>\n<ol>\n<li id=\"ref-1\">QuTiP 5.1 Documentation, <a href=\"https:\/\/qutip.readthedocs.io\/en\/qutip-5.1.x\/guide\/guide-steady.html\">Solving for Steady-State Solutions<\/a>\u3002\u5b9a\u5e38\u65b9\u7a0b\u5f0f\u3001\u8a08\u7b97\u6cd5\u3001\u6642\u9593\u767a\u5c55\u3068\u306e\u6bd4\u8f03\u4f8b\u3002<\/li>\n<li id=\"ref-2\">QuTiP, <a href=\"https:\/\/qutip.readthedocs.io\/en\/qutip-5.1.x\/apidoc\/solver.html#qutip.solver.steadystate.steadystate\">steadystate API<\/a>\u3001<a href=\"https:\/\/github.com\/qutip\/qutip\/blob\/7accc77a70a08f965a29fdd13515f79cdcab9703\/qutip\/solver\/steadystate.py\">5.1.1\u306e\u56fa\u5b9a\u5b9f\u88c5<\/a>\u3002\u30c8\u30ec\u30fc\u30b9\u6761\u4ef6\u3001\u5404\u624b\u6cd5\u3001propagator\u306e\u521d\u671f\u72b6\u614b\u3068\u505c\u6b62\u6761\u4ef6\u3002\u53c2\u7167\u7248\u3092\u56fa\u5b9a\u3057\u3066\u304a\u308a\u3001\u73fe\u5728\u306e\u6700\u65b0\u7248\u3068\u3044\u3046\u610f\u5473\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<li id=\"ref-3\">QuTiP, <a href=\"https:\/\/github.com\/qutip\/qutip\/blob\/7accc77a70a08f965a29fdd13515f79cdcab9703\/qutip\/core\/superoperator.py\">5.1.1\u306eliouvillian \/ lindblad_dissipator\u5b9f\u88c5<\/a>\u3002\u672c\u6587\u306e\u4e8c\u6e96\u4f4d\u30e2\u30c7\u30eb\u3001\u89e3\u306e\u5c0e\u51fa\u3068\u8868\u306e\u6570\u5024\u306f\u3001\u3053\u306eLindblad\u5f62\u5f0f\u3092\u7528\u3044\u305f\u72ec\u81ea\u306e\u8aac\u660e\u30fb\u8a08\u7b97\u4f8b\u3067\u3059\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u7cfb\u306e\u8a08\u7b97\u3067\u300c\u5341\u5206\u306b\u6642\u9593\u304c\u305f\u3063\u305f\u5f8c\u300d\u3092\u77e5\u308a\u305f\u3044\u3068\u304d\u3001QuTiP\u306esteadystate\u306f\u4fbf\u5229\u306a\u5165\u53e3\u3067\u3059\u3002\u6642\u9593\u767a\u5c55\u3092\u9577\u304f\u8ffd\u308f\u305a\u306b\u3001\u5909\u5316\u3057\u306a\u3044\u5bc6\u5ea6\u884c\u5217\u3092\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u8fd4\u3063\u3066\u304d\u305f\u4e00\u3064\u306e\u884c\u5217\u3060\u3051\u3067\u306f\u3001\u3069\u306e\u521d\u671f\u72b6\u614b\u304b\u3089\u3082 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":937,"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":[247,21,184],"class_list":["post-938","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computing","tag-lindblad-equation","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-qutip-steady-state-20261014-featured-37b6e50435b0.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/938","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=938"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/938\/revisions"}],"predecessor-version":[{"id":940,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/938\/revisions\/940"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/937"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}