{"id":2322,"date":"2026-11-07T06:00:00","date_gmt":"2026-11-06T21:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=2322"},"modified":"2026-11-05T16:31:24","modified_gmt":"2026-11-05T07:31:24","slug":"qs-qupid-phase-space-dimension-20261105","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=2322","title":{"rendered":"QUPID\u3067\u91cf\u5b50\u306e\u30ab\u30aa\u30b9\u3092\u63a2\u308b\u3001\u78ba\u7387\u306e\u5e83\u304c\u308a\u65b9\u304b\u3089\u8aad\u3080\u6b21\u5143"},"content":{"rendered":"<p>\u632f\u308a\u5b50\u306e\u3088\u3046\u306b\u540c\u3058\u9053\u7b4b\u3092\u7e70\u308a\u8fd4\u3059\u904b\u52d5\u3068\u3001\u5165\u308a\u7d44\u3093\u3060\u9818\u57df\u3092\u5de1\u308b\u904b\u52d5\u3002\u305d\u306e\u9055\u3044\u306f\u3001\u4f4d\u7f6e\u3060\u3051\u3067\u306a\u304f\u904b\u52d5\u91cf\u3082\u4e00\u7dd2\u306b\u63cf\u304f\u3068\u898b\u3048\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002\u3067\u306f\u3001\u4e00\u672c\u306e\u8ecc\u8de1\u3067\u306f\u306a\u304f\u6ce2\u52d5\u95a2\u6570\u3067\u8868\u3059\u91cf\u5b50\u306e\u904b\u52d5\u306b\u3082\u3001\u540c\u3058\u3088\u3046\u306a\u300c\u5e83\u304c\u308a\u65b9\u306e\u9055\u3044\u300d\u3092\u8aad\u307f\u53d6\u308c\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n<p>\u30ef\u30a4\u30c4\u30de\u30f3\u79d1\u5b66\u7814\u7a76\u6240\u306eJonathan Berkheim\u6c0f\u3068David J. Tannor\u6c0f\u306f\u30012026\u5e7411\u67083\u65e5\u516c\u958b\u306e\u30d7\u30ec\u30d7\u30ea\u30f3\u30c8\u3067<strong>Quantum Pointwise Dimension\uff08QUPID\u3001\u91cf\u5b50\u7248\u306e\u70b9\u3054\u3068\u306e\u6b21\u5143\uff09<\/strong>\u3092\u63d0\u6848\u3057\u307e\u3057\u305f\u3002\u91cf\u5b50\u72b6\u614b\u3092\u4f4d\u76f8\u7a7a\u9593\u306b\u6620\u3057\u3001\u305d\u306e\u5468\u56f2\u3092\u5c11\u3057\u305a\u3064\u5e83\u3052\u305f\u3068\u304d\u306b\u78ba\u7387\u306e\u91cf\u304c\u3069\u3046\u5897\u3048\u308b\u304b\u3092\u8abf\u3079\u308b\u6570\u5024\u7684\u306a\u8a3a\u65ad\u6cd5\u3067\u3059\u3002\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u6027\u80fd\u5b9f\u8a3c\u3067\u306f\u306a\u304f\u3001\u91cf\u5b50\u306e\u52d5\u304d\u306b\u73fe\u308c\u308b\u53e4\u5178\u7684\u30ab\u30aa\u30b9\u306e\u75d5\u8de1\u3092\u8abf\u3079\u308b\u7814\u7a76\u3067\u3059\u3002[1]<\/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>QUPID\u306f\u3001\u4f4d\u76f8\u7a7a\u9593\u306e\u5c0f\u3055\u306a\u9818\u57df\u306b\u542b\u307e\u308c\u308b\u78ba\u7387\u304c\u3001\u9818\u57df\u306e\u5927\u304d\u3055\u306b\u5bfe\u3057\u3066\u3069\u3046\u5897\u3048\u308b\u304b\u304b\u3089\u6709\u52b9\u306a\u6b21\u5143\u3092\u8aad\u307f\u53d6\u308a\u307e\u3059\u3002<\/li>\n<li>\u8ca0\u306e\u5024\u3092\u53d6\u3089\u306a\u3044Husimi\u5206\u5e03\u3092\u6642\u9593\u5e73\u5747\u3057\u3001\u898f\u5247\u7684\u306a\u904b\u52d5\u3068\u5e83\u304f\u9818\u57df\u3092\u5de1\u308b\u904b\u52d5\u3092\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/li>\n<li>\u5c0f\u3055\u3059\u304e\u308b\u9818\u57df\u3067\u306f\u91cf\u5b50\u306e\u307c\u3051\u3001\u5927\u304d\u3059\u304e\u308b\u9818\u57df\u3067\u306f\u5168\u4f53\u306e\u5883\u754c\u304c\u52b9\u304d\u307e\u3059\u3002\u305d\u306e\u9593\u3067\u5b89\u5b9a\u3057\u305f\u50be\u304d\u304c\u5f97\u3089\u308c\u308b\u304b\u304c\u5224\u65ad\u306e\u8981\u70b9\u3067\u3059\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u6570\u3048\u308b\u306e\u306f\u7a7a\u9593\u306e\u8ef8\u3067\u3082\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u3067\u3082\u306a\u3044<\/h2>\n<p>\u4f4d\u76f8\u7a7a\u9593\u306f\u3001\u4f4d\u7f6e\u3068\u904b\u52d5\u91cf\u3092\u7d44\u306b\u3057\u3066\u904b\u52d5\u3092\u8868\u3059\u305f\u3081\u306e\u7a7a\u9593\u3067\u3059\u3002\u4f8b\u3048\u3070\u4e00\u65b9\u5411\u306b\u52d5\u304f\u7c92\u5b50\u306a\u3089\u3001\u4f4d\u7f6e\u3068\u904b\u52d5\u91cf\u306e\u4e8c\u3064\u3092\u5ea7\u6a19\u3068\u3057\u3066\u4f7f\u3044\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u904b\u52d5\u304c\u305d\u306e\u4e8c\u6b21\u5143\u306e\u5168\u57df\u3092\u57cb\u3081\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002\u4e00\u5b9a\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3067\u7e70\u308a\u8fd4\u3059\u904b\u52d5\u306f\u3001\u7d30\u3044\u9589\u3058\u305f\u9053\u7b4b\u306b\u6cbf\u3046\u3053\u3068\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u8abf\u3079\u305f\u3044\u300c\u6b21\u5143\u300d\u306f\u3001\u305d\u306e\u9053\u7b4b\u3084\u5206\u5e03\u304c\u5b9f\u969b\u306b\u3069\u306e\u3088\u3046\u306b\u5e83\u304c\u308b\u304b\u3068\u3044\u3046\u6709\u52b9\u306a\u6b21\u5143\u3067\u3059\u3002\u7d30\u3044\u7dda\u306e\u4e00\u90e8\u3092\u5c0f\u3055\u306a\u5186\u3067\u56f2\u307f\u3001\u534a\u5f84\u30922\u500d\u306b\u3059\u308b\u3068\u3001\u56f2\u307e\u308c\u308b\u7dda\u306e\u9577\u3055\u306f\u304a\u304a\u3080\u306d2\u500d\u306b\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001\u9762\u3092\u4e00\u69d8\u306b\u8986\u3046\u5206\u5e03\u306a\u3089\u3001\u5186\u5185\u306e\u91cf\u306f\u304a\u304a\u3080\u306d4\u500d\u306b\u306a\u308a\u307e\u3059\u3002\u7dda\u306a\u3089\u534a\u5f84\u306e1\u4e57\u3001\u9762\u306a\u30892\u4e57\u3068\u3044\u3046\u5897\u3048\u65b9\u3092\u624b\u639b\u304b\u308a\u306b\u3059\u308b\u308f\u3051\u3067\u3059\u3002\u3053\u308c\u306f\u4ed5\u7d44\u307f\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306e\u5e7e\u4f55\u5b66\u7684\u306a\u4f8b\u3067\u3001\u8ad6\u6587\u306e\u6570\u5024\u30c7\u30fc\u30bf\u305d\u306e\u3082\u306e\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u53e4\u5178\u529b\u5b66\u3067\u306f\u3001\u8ecc\u8de1\u304c\u5c0f\u3055\u306a\u9818\u57df\u3078\u4f55\u5ea6\u623b\u3063\u3066\u304d\u305f\u304b\u3092\u6570\u3048\u3066\u3001\u3053\u306e\u5897\u3048\u65b9\u3092\u63a8\u5b9a\u3067\u304d\u307e\u3059\u3002\u91cf\u5b50\u529b\u5b66\u3067\u306f\u3001\u540c\u3058\u610f\u5473\u3067\u7c92\u5b50\u306e\u7d30\u3044\u8ecc\u8de1\u3092\u8ffd\u3044\u7d9a\u3051\u308b\u308f\u3051\u306b\u306f\u3044\u304d\u307e\u305b\u3093\u3002\u305d\u3053\u3067\u3001\u78ba\u7387\u306e\u5206\u5e03\u3092\u4f7f\u3046\u5f62\u3078\u7f6e\u304d\u63db\u3048\u307e\u3059\u3002<\/p>\n<h2>Husimi\u5206\u5e03\u3067\u300c\u6642\u9593\u3092\u901a\u3058\u305f\u5c45\u5834\u6240\u300d\u3092\u63cf\u304f<\/h2>\n<p>QUPID\u304c\u4f7f\u3046\u306e\u306f\u3001\u91cf\u5b50\u72b6\u614b\u3092\u4f4d\u7f6e\u3068\u904b\u52d5\u91cf\u306e\u4e21\u65b9\u306b\u5e83\u304c\u308a\u3092\u6301\u3064\u5c0f\u3055\u306a\u6ce2\u675f\u3068\u91cd\u306d\u5408\u308f\u305b\u3066\u8abf\u3079\u308b\u3001<strong>Husimi\u5206\u5e03<\/strong>\u3067\u3059\u3002\u4f4d\u76f8\u7a7a\u9593\u306e\u5404\u5834\u6240\u306b\u91cf\u5b50\u72b6\u614b\u304c\u3069\u306e\u7a0b\u5ea6\u91cd\u306a\u308b\u304b\u3092\u3001\u8ca0\u3067\u306a\u3044\u5024\u3067\u8868\u3057\u307e\u3059\u3002\u4f4d\u7f6e\u3068\u904b\u52d5\u91cf\u3092\u540c\u6642\u306b\u7121\u9650\u306e\u7cbe\u5ea6\u3067\u6c7a\u3081\u308b\u5730\u56f3\u3067\u306f\u306a\u304f\u3001\u91cf\u5b50\u529b\u5b66\u306b\u7531\u6765\u3059\u308b\u307c\u3051\u3092\u542b\u3080\u5730\u56f3\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u5206\u5e03\u3092\u9577\u3044\u6642\u9593\u306b\u308f\u305f\u3063\u3066\u5e73\u5747\u3059\u308b\u3068\u3001\u77ac\u9593\u306e\u6ce2\u675f\u306e\u5f62\u304b\u3089\u3001\u6642\u9593\u3092\u901a\u3058\u305f\u78ba\u7387\u306e\u5e83\u304c\u308a\u3078\u8996\u70b9\u304c\u79fb\u308a\u307e\u3059\u3002\u6b21\u306b\u57fa\u6e96\u70b9\u306e\u5468\u308a\u3078\u9818\u57df\u3092\u53d6\u308a\u3001\u305d\u306e\u4e2d\u306e\u78ba\u7387\u3092\u7a4d\u5206\u3057\u307e\u3059\u3002\u534a\u5f84\u3092\u5909\u3048\u306a\u304c\u3089\u78ba\u7387\u306e\u5897\u3048\u65b9\u3092\u5bfe\u6570\u306e\u30b0\u30e9\u30d5\u306b\u3057\u3001\u307b\u307c\u76f4\u7dda\u306b\u306a\u308b\u7bc4\u56f2\u306e\u50be\u304d\u3092\u8aad\u307f\u53d6\u308a\u307e\u3059\u3002\u8907\u6570\u306e\u57fa\u6e96\u70b9\u3092\u4f7f\u3063\u3066\u5e73\u5747\u3059\u308b\u306e\u306f\u3001\u4e00\u3064\u306e\u5834\u6240\u3060\u3051\u306e\u5f62\u306b\u7d50\u679c\u304c\u5de6\u53f3\u3055\u308c\u308b\u306e\u3092\u6291\u3048\u308b\u305f\u3081\u3067\u3059\u3002[1]<\/p>\n<p>\u307e\u305f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u7e2e\u9000\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u306b\u306f\u3001\u6642\u9593\u5e73\u5747\u3092\u56fa\u6709\u72b6\u614b\u306e\u5bc4\u4e0e\u306e\u548c\u3068\u3057\u3066\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u9577\u6642\u9593\u306e\u904b\u52d5\u3092\u7d30\u304b\u3044\u523b\u307f\u3067\u6700\u5f8c\u307e\u3067\u8ffd\u308f\u305a\u306b\u6e08\u3080\u306e\u304c\u5229\u70b9\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u56fa\u6709\u72b6\u614b\u306e\u8a08\u7b97\u3084\u4f4d\u76f8\u7a7a\u9593\u3067\u306e\u7a4d\u5206\u306e\u8cbb\u7528\u307e\u3067\u306a\u304f\u306a\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u7e2e\u9000\u304c\u3042\u308b\u5834\u5408\u306e\u6271\u3044\u3082\u3001\u5225\u306b\u78ba\u304b\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2>\u50be\u304d\u3092\u6e2c\u308b\u306b\u306f\u3001\u7d30\u304b\u3059\u304e\u3066\u3082\u7c97\u3059\u304e\u3066\u3082\u56f0\u308b<\/h2>\n<p>\u534a\u5f84\u3092\u5c0f\u3055\u304f\u3059\u308c\u3070\u3059\u308b\u307b\u3069\u6b63\u78ba\u306b\u306a\u308b\u3001\u3068\u3044\u3046\u65b9\u6cd5\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002Husimi\u5206\u5e03\u306f\u307c\u3051\u3092\u542b\u3080\u305f\u3081\u3001\u305d\u308c\u3088\u308a\u5c0f\u3055\u306a\u7bc4\u56f2\u3092\u62e1\u5927\u3059\u308b\u3068\u3001\u53e4\u5178\u7684\u306a\u9053\u7b4b\u3088\u308a\u3082\u6ed1\u3089\u304b\u306a\u5206\u5e03\u306e\u5c40\u6240\u7684\u306a\u5f62\u3092\u898b\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u53cd\u5bfe\u306b\u3001\u534a\u5f84\u3092\u5e83\u3052\u3066\u78ba\u7387\u306e\u307b\u3068\u3093\u3069\u3092\u56f2\u3080\u3068\u3001\u305d\u3053\u304b\u3089\u5148\u306f\u56f2\u3080\u91cf\u304c\u5897\u3048\u305a\u3001\u30b0\u30e9\u30d5\u304c\u5bdd\u3066\u3057\u307e\u3044\u307e\u3059\u3002<\/p>\n<figure><a href=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/11\/qs-qupid-phase-space-dimension-20261105-figure3-6180816c4ffb.png\"><img decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/11\/qs-qupid-phase-space-dimension-20261105-figure3-6180816c4ffb.png\" alt=\"QUPID\u306e\u50be\u304d\u3092\u8aad\u3080\u7bc4\u56f2\u3002\u5c0f\u3055\u3044\u534a\u5f84\u3067\u306f\u91cf\u5b50\u306e\u307c\u3051\u3001\u4e2d\u9593\u3067\u306f\u5e83\u304c\u308a\u306e\u5c3a\u5ea6\u3001\u5927\u304d\u3044\u534a\u5f84\u3067\u306f\u5168\u4f53\u306e\u5883\u754c\u304c\u52b9\u304f\u3002\u4e2d\u9593\u306e\u7bc4\u56f2\u3067\u8a08\u7b97\u6761\u4ef6\u3092\u5909\u3048\u3001\u50be\u304d\u306e\u5b89\u5b9a\u6027\u3092\u78ba\u304b\u3081\u308b\u3002\" style=\"max-width:100%;height:auto\" \/><\/a><figcaption>\u534a\u5f84\u306e\u7bc4\u56f2\u3068\u8aad\u307f\u53d6\u308c\u308b\u3082\u306e\u306e\u9055\u3044\u3002\u8ad6\u6587\u306e\u8003\u3048\u65b9\u3092\u57fa\u306bQuantum Sea\u4f5c\u6210\u3002\u5b9f\u6e2c\u5024\u3084\u8a08\u7b97\u7d50\u679c\u306e\u30b0\u30e9\u30d5\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/figcaption><\/figure>\n<p>\u6b32\u3057\u3044\u306e\u306f\u3001\u305d\u306e\u4e8c\u3064\u306e\u5f71\u97ff\u306e\u9593\u306b\u3042\u308b\u7bc4\u56f2\u3067\u3059\u3002\u7814\u7a76\u3067\u306f\u3001\u91cf\u5b50\u306e\u307c\u3051\u3088\u308a\u5927\u304d\u304f\u3001\u5168\u4f53\u306e\u5883\u754c\u3067\u98fd\u548c\u3059\u308b\u524d\u306e\u534a\u5f84\u3092\u9078\u3073\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6709\u9650\u306e\u91cf\u5b50\u306e\u307c\u3051\u3092\u6b8b\u3057\u305f\u307e\u307e\u534a\u5f84\u3092\u30bc\u30ed\u3078\u8fd1\u3065\u3051\u308c\u3070\u3001\u3044\u3064\u3067\u3082\u53e4\u5178\u7684\u306a\u6b21\u5143\u304c\u5f97\u3089\u308c\u308b\u3068\u3044\u3046\u610f\u5473\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<strong>\u3069\u306e\u7bc4\u56f2\u3067\u50be\u304d\u3092\u6c42\u3081\u305f\u304b<\/strong>\u307e\u3067\u542b\u3081\u3066\u8aad\u3080\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<div style=\"overflow-x:auto\">\n<table>\n<thead>\n<tr>\n<th>\u78ba\u8a8d\u3059\u308b\u70b9<\/th>\n<th>\u7d50\u679c\u306b\u5f71\u97ff\u3059\u308b\u7406\u7531<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u534a\u5f84\u306e\u7bc4\u56f2<\/td>\n<td>\u91cf\u5b50\u306e\u307c\u3051\u3068\u5168\u4f53\u306e\u5883\u754c\u3092\u907f\u3051\u3089\u308c\u3066\u3044\u308b\u304b<\/td>\n<\/tr>\n<tr>\n<td>\u521d\u671f\u72b6\u614b\u3068\u99c6\u52d5\u6761\u4ef6<\/td>\n<td>\u540c\u3058\u7cfb\u3067\u3082\u5de1\u308b\u9818\u57df\u304c\u5909\u308f\u308b\u305f\u3081<\/td>\n<\/tr>\n<tr>\n<td>\u683c\u5b50\u30fb\u56fa\u6709\u72b6\u614b\u30fb\u6a19\u672c\u306e\u6570<\/td>\n<td>\u8a08\u7b97\u3092\u7d30\u304b\u304f\u3057\u305f\u3068\u304d\u306b\u50be\u304d\u304c\u5b89\u5b9a\u3059\u308b\u304b<\/td>\n<\/tr>\n<tr>\n<td>\u6bd4\u8f03\u3059\u308b\u53e4\u5178\u7cfb<\/td>\n<td>\u91cf\u5b50\u306e\u5206\u5e03\u304c\u4f55\u306e\u904b\u52d5\u306b\u5bfe\u5fdc\u3059\u308b\u304b\u3092\u660e\u78ba\u306b\u3059\u308b\u305f\u3081<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2>\u5468\u671f\u7684\u306b\u8e74\u308b\u56de\u8ee2\u5b50\u3067\u3001\u898f\u5247\u7684\u306a\u904b\u52d5\u3068\u6bd4\u8f03\u3059\u308b<\/h2>\n<p>\u5177\u4f53\u4f8b\u306e\u4e00\u3064\u304c\u3001\u4e00\u5b9a\u306e\u9593\u9694\u3067\u529b\u3092\u53d7\u3051\u308b\u300c\u8e74\u3089\u308c\u305f\u56de\u8ee2\u5b50\u300d\u3067\u3059\u3002\u529b\u306e\u5f37\u3055\u3084\u51fa\u767a\u3059\u308b\u72b6\u614b\u3092\u5909\u3048\u308b\u3068\u3001\u898f\u5247\u7684\u306a\u52d5\u304d\u3082\u3001\u4f4d\u76f8\u7a7a\u9593\u306e\u5e83\u3044\u7bc4\u56f2\u3092\u5de1\u308b\u52d5\u304d\u3082\u73fe\u308c\u307e\u3059\u3002<\/p>\n<p>\u8ad6\u6587\u306e\u6570\u5024\u4f8b\u3067\u306f\u3001\u898f\u5247\u7684\u306a\u5834\u5408\u306b1\u306b\u8fd1\u3044\u50be\u304d\u3001\u5f37\u3044\u30ab\u30aa\u30b9\u306e\u4f8b\u3067\u306f2\u306b\u8fd1\u3044\u50be\u304d\u304c\u5f97\u3089\u308c\u3001\u5bfe\u5fdc\u3059\u308b\u53e4\u5178\u8ecc\u8de1\u3068\u306e\u6bd4\u8f03\u304c\u793a\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u4e2d\u9593\u7684\u306a\u6761\u4ef6\u306e\u5024\u307e\u3067\u5358\u7d14\u306b1\u304b2\u3078\u5207\u308a\u5206\u3051\u3089\u308c\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u521d\u671f\u6761\u4ef6\u3001\u8a08\u7b97\u306e\u5206\u89e3\u80fd\u3001\u50be\u304d\u3092\u6c42\u3081\u308b\u7bc4\u56f2\u3092\u5408\u308f\u305b\u3066\u8a55\u4fa1\u3057\u3066\u3044\u307e\u3059\u3002[1]<\/p>\n<p>\u3053\u306e\u6bd4\u8f03\u3067\u898b\u308b\u306e\u306f\u3001\u91cf\u5b50\u72b6\u614b\u304c\u3069\u308c\u307b\u3069\u901f\u304f\u521d\u671f\u72b6\u614b\u304b\u3089\u96e2\u308c\u305f\u304b\u3060\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u9577\u3044\u6642\u9593\u3092\u901a\u3058\u3066\u5206\u5e03\u304c\u3069\u306e\u5f62\u306e\u9818\u57df\u306b\u5e83\u304c\u308b\u304b\u3092\u898b\u3066\u3044\u307e\u3059\u3002\u540c\u3058\u300c\u5e83\u304c\u308b\u300d\u3068\u3044\u3046\u8a00\u8449\u3067\u3082\u3001\u96e2\u308c\u308b\u901f\u3055\u3001\u8a2a\u308c\u308b\u7bc4\u56f2\u306e\u5927\u304d\u3055\u3001\u305d\u306e\u7bc4\u56f2\u306e\u6709\u52b9\u306a\u6b21\u5143\u306f\u7570\u306a\u308b\u91cf\u3067\u3059\u3002<\/p>\n<h2>\u30ab\u30aa\u30b9\u3092\u4e00\u3064\u306e\u6570\u5b57\u3067\u6c7a\u3081\u308b\u524d\u306b<\/h2>\n<p>QUPID\u306f\u3001\u91cf\u5b50\u306e\u904b\u52d5\u3092\u53e4\u5178\u7684\u306a\u4f4d\u76f8\u7a7a\u9593\u306e\u5e7e\u4f55\u3068\u6bd4\u8f03\u3059\u308b\u624b\u6bb5\u3092\u5897\u3084\u3059\u63d0\u6848\u3067\u3059\u3002\u4eca\u56de\u306e\u5b9f\u8a3c\u306f\u3001\u53e4\u5178\u7684\u306a\u632f\u308b\u821e\u3044\u3078\u8fd1\u3065\u304f\u534a\u53e4\u5178\u7684\u306a\u6761\u4ef6\u3067\u306e\u30e2\u30c7\u30eb\u8a08\u7b97\u3067\u3059\u3002\u4efb\u610f\u306e\u91cf\u5b50\u7cfb\u306b\u3064\u3044\u3066\u3001\u3053\u306e\u5024\u3060\u3051\u3067\u30ab\u30aa\u30b9\u3092\u5224\u5b9a\u3067\u304d\u308b\u3068\u8a3c\u660e\u3057\u305f\u3082\u306e\u3067\u306f\u306a\u304f\u3001\u5b9f\u6a5f\u3067\u306e\u8aad\u307f\u51fa\u3057\u7cbe\u5ea6\u3084\u8a08\u7b97\u6642\u9593\u306e\u512a\u4f4d\u6027\u3092\u78ba\u7acb\u3057\u305f\u3082\u306e\u3067\u3082\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u7814\u7a76\u3067\u306f\u3001\u521d\u671f\u72b6\u614b\u3068\u306e\u91cd\u306a\u308a\u306e\u6642\u9593\u5909\u5316\u3060\u3051\u304b\u3089\u540c\u3058\u60c5\u5831\u3092\u63a8\u5b9a\u3059\u308b\u65b9\u6cd5\u3082\u691c\u8a0e\u3057\u3066\u3044\u307e\u3059\u304c\u3001\u5358\u7d14\u306a\u7f6e\u304d\u63db\u3048\u306f\u5931\u6557\u3057\u3001\u5b66\u7fd2\u3092\u4f7f\u3046\u8a66\u307f\u306f\u4f8b\u793a\u6bb5\u968e\u306b\u3042\u308a\u307e\u3059\u3002\u307e\u305a\u306f\u3001Husimi\u5206\u5e03\u3092\u7528\u3044\u308b\u672c\u6765\u306e\u65b9\u6cd5\u3067\u3001\u91cf\u5b50\u306e\u307c\u3051\u3001\u7a4d\u5206\u7bc4\u56f2\u3001\u6570\u5024\u8a08\u7b97\u306e\u53ce\u675f\u3092\u63c3\u3048\u3066\u6bd4\u8f03\u3059\u308b\u3002\u305d\u306e\u3046\u3048\u3067\u6709\u52b9\u306a\u6b21\u5143\u3092\u898b\u308b\u3068\u3001\u5206\u5e03\u306e\u898b\u305f\u76ee\u3060\u3051\u3067\u306f\u6349\u3048\u306b\u304f\u3044\u9055\u3044\u3092\u8b70\u8ad6\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u51fa\u5178<\/h2>\n<ol>\n<li>Jonathan Berkheim, David J. Tannor, <a href=\"https:\/\/arxiv.org\/abs\/2611.05369v1\">Quantum Pointwise Dimension (QUPID): An algorithm for identifying classical chaos in quantum dynamics<\/a>, arXiv:2611.05369v1\u30012026\u5e7411\u67083\u65e5\u3002\u672c\u6587III\u2013IV\u3001V\u3001\u56f34\u30fb6\u3001\u4ed8\u9332\u8868II\u30022026\u5e7411\u67085\u65e5\u306b\u7248\u3092\u78ba\u8a8d\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u632f\u308a\u5b50\u306e\u3088\u3046\u306b\u540c\u3058\u9053\u7b4b\u3092\u7e70\u308a\u8fd4\u3059\u904b\u52d5\u3068\u3001\u5165\u308a\u7d44\u3093\u3060\u9818\u57df\u3092\u5de1\u308b\u904b\u52d5\u3002\u305d\u306e\u9055\u3044\u306f\u3001\u4f4d\u7f6e\u3060\u3051\u3067\u306a\u304f\u904b\u52d5\u91cf\u3082\u4e00\u7dd2\u306b\u63cf\u304f\u3068\u898b\u3048\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002\u3067\u306f\u3001\u4e00\u672c\u306e\u8ecc\u8de1\u3067\u306f\u306a\u304f\u6ce2\u52d5\u95a2\u6570\u3067\u8868\u3059\u91cf\u5b50\u306e\u904b\u52d5\u306b\u3082\u3001\u540c\u3058\u3088\u3046\u306a\u300c\u5e83\u304c\u308a\u65b9\u306e\u9055\u3044\u300d\u3092\u8aad\u307f [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2320,"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":[459],"class_list":["post-2322","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computing","tag-quantum-pointwise-dimension"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/11\/qs-qupid-phase-space-dimension-20261105-63b8d1ed6784.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/2322","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=2322"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/2322\/revisions"}],"predecessor-version":[{"id":2326,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/2322\/revisions\/2326"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/2320"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}