{"id":2430,"date":"2026-11-08T09:00:00","date_gmt":"2026-11-08T00:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=2430"},"modified":"2026-11-06T05:27:10","modified_gmt":"2026-11-05T20:27:10","slug":"qs-graph-collision-query-bounds-20261106","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=2430","title":{"rendered":"\u30b0\u30e9\u30d5\u885d\u7a81\u554f\u984c\u3067\u5909\u308f\u3063\u305f\u91cf\u5b50\u30af\u30a8\u30ea\u306e\u9650\u754c\u3001\u5370\u306e\u4ed8\u3044\u305f\u96a3\u540c\u58eb\u3092\u63a2\u3059"},"content":{"rendered":"<p>\u3064\u306a\u304c\u308a\u65b9\u306f\u5206\u304b\u3063\u3066\u3044\u308b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u3001\u5370\u306e\u4ed8\u3044\u305f\u4e8c\u3064\u306e\u70b9\u304c\u96a3\u308a\u5408\u3063\u3066\u3044\u308b\u304b\u3092\u8abf\u3079\u308b\u3002\u3053\u308c\u304c\u300c\u30b0\u30e9\u30d5\u885d\u7a81\u554f\u984c\uff08Graph Collision\uff09\u300d\u3067\u3059\u3002\u7b54\u3048\u304c\u300c\u3042\u308b\u300d\u306a\u3089\u3001\u305d\u306e\u4e00\u7d44\u3092\u793a\u3059\u3060\u3051\u3067\u78ba\u304b\u3081\u3089\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u5927\u304d\u306a\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u304b\u3089\u305d\u306e\u7d44\u3092\u63a2\u3059\u305f\u3081\u306b\u3001\u3069\u308c\u3060\u3051\u60c5\u5831\u3092\u53d6\u308a\u51fa\u3059\u5fc5\u8981\u304c\u3042\u308b\u304b\u306f\u5225\u306e\u554f\u984c\u3067\u3059\u3002<\/p>\n<p>2026\u5e7411\u67083\u65e5\u306b\u516c\u958b\u3055\u308c\u305fArjan Cornelissen\u6c0f\u3089\u306e\u30d7\u30ec\u30d7\u30ea\u30f3\u30c8\u306f\u3001\u3053\u306e\u554f\u984c\u3092\u91cf\u5b50\u8a08\u7b97\u3067\u89e3\u304f\u969b\u306e\u554f\u3044\u5408\u308f\u305b\u56de\u6570\u306b\u3064\u3044\u3066\u3001\u4e0a\u9650\u3068\u4e0b\u9650\u306e\u4e21\u65b9\u3092\u66f4\u65b0\u3059\u308b\u7d50\u679c\u3092\u793a\u3057\u307e\u3057\u305f\u3002\u5206\u304b\u3063\u305f\u306e\u306f\u3001\u5165\u529b\u304c\u5927\u304d\u304f\u306a\u308b\u3068\u304d\u306e\u7406\u8ad6\u7684\u306a\u56de\u6570\u306e\u5897\u3048\u65b9\u3067\u3059\u3002\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u306e\u5b9f\u6e2c\u6642\u9593\u3092\u6bd4\u8f03\u3057\u305f\u7814\u7a76\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/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>\u30b0\u30e9\u30d5\u306e\u8fba\u306f\u65e2\u77e5\u3067\u3001\u5404\u9802\u70b9\u306b\u5370\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3060\u3051\u3092\u554f\u3044\u5408\u308f\u305b\u307e\u3059\u3002\u5370\u306e\u3042\u308b\u9802\u70b9\u304c\u4e8c\u3064\u5b58\u5728\u3057\u3066\u3082\u3001\u305d\u306e\u9593\u306b\u8fba\u304c\u306a\u3051\u308c\u3070\u300c\u885d\u7a81\u300d\u306b\u306f\u306a\u308a\u307e\u305b\u3093\u3002<\/li>\n<li>\u65b0\u3057\u3044\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u4e0a\u9650\u306f\u00d5(n<sup>11\/17<\/sup>)\u3002\u5f93\u6765\u306eO(n<sup>2\/3<\/sup>)\u3088\u308a\u5c0f\u3055\u3044\u6307\u6570\u3067\u3059\u3002\u4e00\u65b9\u3001\u96e3\u3057\u3044\u30b0\u30e9\u30d5\u65cf\u3067\u306f\u5c11\u306a\u304f\u3068\u3082\u03a9(\u221a(n log n))\u56de\u304c\u5fc5\u8981\u3060\u3068\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\n<li>\u4e0a\u9650\u3068\u4e0b\u9650\u306e\u9593\u306b\u306f\u307e\u3060\u9694\u305f\u308a\u304c\u3042\u308a\u307e\u3059\u3002\u30b0\u30e9\u30d5\u3092\u51e6\u7406\u3059\u308b\u8a08\u7b97\u3084\u91cf\u5b50\u56de\u8def\u306e\u5b9f\u88c5\u8cbb\u7528\u306f\u3001\u3053\u306e\u554f\u3044\u5408\u308f\u305b\u56de\u6570\u306b\u306f\u542b\u307e\u308c\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u300c\u4e8c\u3064\u898b\u3064\u304b\u308b\u300d\u3068\u300c\u96a3\u540c\u58eb\u304c\u898b\u3064\u304b\u308b\u300d\u306e\u9055\u3044<\/h2>\n<p>\u70b9\u3092\u9802\u70b9\u3001\u70b9\u3069\u3046\u3057\u306e\u3064\u306a\u304c\u308a\u3092\u8fba\u3068\u547c\u3073\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u5411\u304d\u306e\u306a\u3044\u8fba\u3067\u7d50\u3070\u308c\u305f\u30b0\u30e9\u30d5\u304c\u3042\u3089\u304b\u3058\u3081\u4e0e\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u672a\u77e5\u306a\u306e\u306f\u5404\u9802\u70b9\u306e0\u307e\u305f\u306f1\u3068\u3044\u3046\u5024\u3067\u30011\u3092\u300c\u5370\u3042\u308a\u300d\u3068\u8aad\u307f\u307e\u3059\u3002\u8abf\u3079\u305f\u3044\u6761\u4ef6\u306f\u3001\u3042\u308b\u8fba\u306e\u4e21\u7aef\u304c\u3068\u3082\u306b1\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001A\u3001B\u3001C\u3001D\u3001E\u304c\u8f2a\u306b\u306a\u3063\u3066\u3064\u306a\u304c\u3063\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002A\u3068C\u306b\u5370\u304c\u3042\u3063\u3066\u3082\u3001\u3053\u306e\u4e8c\u70b9\u306f\u76f4\u63a5\u3064\u306a\u304c\u3063\u3066\u3044\u306a\u3044\u306e\u3067\u7b54\u3048\u306f\u300c\u306a\u3057\u300d\u3067\u3059\u3002B\u3068C\u306b\u5370\u304c\u3042\u308c\u3070\u3001\u8fbaBC\u304c\u3042\u308b\u305f\u3081\u300c\u3042\u308a\u300d\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u306e\u5c0f\u3055\u306a\u4f8b\u306f\u554f\u984c\u306e\u610f\u5473\u3092\u793a\u3059\u3082\u306e\u3067\u3001\u8ad6\u6587\u306e\u65b0\u3057\u3044\u8a08\u7b97\u91cf\u3092\u5b9f\u8a3c\u3059\u308b\u4f8b\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<figure><a href=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/11\/qs-graph-collision-query-bounds-20261106-figure3-baf56551d5ea.png\"><img decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/11\/qs-graph-collision-query-bounds-20261106-figure3-baf56551d5ea.png\" alt=\"\u540c\u3058\u4e94\u89d2\u5f62\u306e\u30b0\u30e9\u30d5\u3067\u3001A\u3068C\u306b\u5370\u304c\u3042\u308b\u5834\u5408\u306f\u96a3\u308a\u5408\u308f\u305a\u885d\u7a81\u306a\u3057\u3001B\u3068C\u306b\u5370\u304c\u3042\u308b\u5834\u5408\u306f\u8fbaBC\u306e\u4e21\u7aef\u306b\u5370\u304c\u3042\u308a\u885d\u7a81\u3042\u308a\u3068\u306a\u308b\u6bd4\u8f03\u56f3\u3002\" style=\"display:block;max-width:100%;height:auto\" \/><\/a><figcaption>Quantum Sea\u4f5c\u6210\u3002\u8fba\u306f\u540c\u3058\u307e\u307e\u3001\u672a\u77e5\u306e\u5370\u306e\u914d\u7f6e\u3060\u3051\u3092\u5909\u3048\u305f\u8aac\u660e\u4f8b\u3067\u3059\u3002<\/figcaption><\/figure>\n<p>\u554f\u3044\u306b\u5bfe\u3059\u308b\u300c\u3042\u308a\u300d\u306e\u8a3c\u62e0\u304c\u4e8c\u9802\u70b9\u3067\u8db3\u308a\u308b\u3053\u3068\u3092\u3001\u8a08\u7b97\u91cf\u306e\u8a00\u8449\u3067\u306f\u5c0f\u3055\u306a<strong>\u6b63\u306e\u8a3c\u660e\u66f8<\/strong>\u304c\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002\u8a3c\u62e0\u3092\u78ba\u8a8d\u3059\u308b\u5bb9\u6613\u3055\u3068\u3001\u8a3c\u62e0\u3092\u898b\u3064\u3051\u308b\u5bb9\u6613\u3055\u306f\u540c\u3058\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u9055\u3044\u304c\u3001\u4eca\u56de\u306e\u7814\u7a76\u306e\u51fa\u767a\u70b9\u3067\u3059\u3002<\/p>\n<h2>\u91cf\u5b50\u30af\u30a8\u30ea\u304c\u6570\u3048\u3066\u3044\u308b\u3082\u306e<\/h2>\n<p>\u8ad6\u6587\u3067\u6570\u3048\u308b\u306e\u306f\u3001\u672a\u77e5\u306e\u5165\u529b\u5024\u3092\u4e0e\u3048\u308b\u4ed5\u7d44\u307f\u3078\u306e\u554f\u3044\u5408\u308f\u305b\u3001\u3064\u307e\u308a<strong>\u30af\u30a8\u30ea<\/strong>\u3067\u3059\u3002\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u306f\u3001\u9802\u70b9\u306e\u756a\u53f7\u3092\u91cd\u306d\u5408\u308f\u305b\u305f\u72b6\u614b\u306b\u5bfe\u3057\u3066\u3001\u3053\u306e\u5165\u529b\u306e\u4ed5\u7d44\u307f\u3092\u91cf\u5b50\u7684\u306b\u547c\u3073\u51fa\u305b\u308b\u3068\u4eee\u5b9a\u3057\u307e\u3059\u3002\u4e00\u5ea6\u306e\u547c\u3073\u51fa\u3057\u304b\u3089\u5168\u9802\u70b9\u306e\u5024\u3092\u8aad\u307f\u51fa\u305b\u308b\u3068\u3044\u3046\u610f\u5473\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u3053\u306e\u30e2\u30c7\u30eb\u3067\u306f\u3001\u65e2\u77e5\u306e\u30b0\u30e9\u30d5\u3092\u8abf\u3079\u308b\u8a08\u7b97\u306f\u7121\u6599\u3068\u3057\u3066\u6271\u3044\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u3069\u306e\u4e8c\u9802\u70b9\u304c\u4f55\u500b\u306e\u5171\u901a\u306e\u96a3\u63a5\u70b9\u3092\u6301\u3064\u304b\u3092\u8a08\u7b97\u3057\u3066\u3082\u3001\u672a\u77e5\u306e0\/1\u3092\u65b0\u305f\u306b\u5c0b\u306d\u306a\u3051\u308c\u3070\u30af\u30a8\u30ea\u6570\u306f\u5897\u3048\u307e\u305b\u3093\u3002\u53cd\u5bfe\u306b\u3001\u73fe\u5b9f\u306e\u88c5\u7f6e\u3067\u306f\u3001\u3053\u3046\u3057\u305f\u60c5\u5831\u3092\u6e96\u5099\u3059\u308b\u6642\u9593\u3084\u91cf\u5b50\u56de\u8def\u3092\u52d5\u304b\u3059\u8cbb\u7528\u3082\u5fc5\u8981\u3067\u3059\u3002\u30af\u30a8\u30ea\u6570\u306e\u6539\u5584\u304b\u3089\u3001\u305d\u306e\u307e\u307e\u5b9f\u884c\u6642\u9593\u306e\u77ed\u7e2e\u7387\u3092\u51fa\u3059\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<h2>\u3069\u3053\u307e\u3067\u6e1b\u3089\u305b\u3066\u3001\u3069\u3053\u304b\u3089\u6e1b\u3089\u305b\u306a\u3044\u306e\u304b<\/h2>\n<p>n\u3092\u9802\u70b9\u6570\u3068\u3059\u308b\u3068\u3001\u4efb\u610f\u306e\u30b0\u30e9\u30d5\u3092\u6271\u3046\u5f93\u6765\u306e\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u306fO(n<sup>2\/3<\/sup>)\u3068\u3044\u3046\u4e0a\u9650\u304c\u77e5\u3089\u308c\u3066\u3044\u307e\u3057\u305f\u3002\u65b0\u8ad6\u6587\u3067\u306f\u3001\u307e\u305a\u00d5(n<sup>92\/139<\/sup>)\u3092\u5f97\u3066\u304b\u3089\u3001\u624b\u6cd5\u3092\u6539\u826f\u3057\u3066\u00d5(n<sup>11\/17<\/sup>)\u3078\u9032\u3081\u3066\u3044\u307e\u3059\u300211\/17\u306f\u7d040.6471\u3067\u30012\/3\u306e\u7d040.6667\u3092\u4e0b\u56de\u308a\u307e\u3059\u3002<\/p>\n<div style=\"overflow-x:auto\">\n<table>\n<thead>\n<tr>\n<th>\u6bd4\u8f03\u3059\u308b\u91cf<\/th>\n<th>\u8ad6\u6587\u304c\u793a\u3059\u4f4d\u7f6e<\/th>\n<th>\u8aad\u307f\u65b9<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u4efb\u610f\u306e\u30b0\u30e9\u30d5\u306b\u4f7f\u3048\u308b\u4e0a\u9650<\/td>\n<td>\u00d5(n<sup>11\/17<\/sup>)<\/td>\n<td>\u3053\u306e\u30aa\u30fc\u30c0\u30fc\u306e\u554f\u3044\u5408\u308f\u305b\u3067\u89e3\u304f\u624b\u9806\u304c\u3042\u308b<\/td>\n<\/tr>\n<tr>\n<td>\u96e3\u3057\u3044\u30b0\u30e9\u30d5\u65cf\u3067\u306e\u4e0b\u9650<\/td>\n<td>\u03a9(\u221a(n log n))<\/td>\n<td>\u3069\u306e\u91cf\u5b50\u624b\u9806\u3067\u3082\u3001\u4e00\u5b9a\u306e\u6b63\u7b54\u7387\u3092\u6e80\u305f\u3059\u306b\u306f\u3053\u306e\u30aa\u30fc\u30c0\u30fc\u304c\u5fc5\u8981<\/td>\n<\/tr>\n<tr>\n<td>\u4eca\u3082\u6b8b\u308b\u9694\u305f\u308a<\/td>\n<td>\u4e0b\u9650\u3068\u4e0a\u9650\u306f\u4e00\u81f4\u3057\u306a\u3044<\/td>\n<td>\u4efb\u610f\u306e\u30b0\u30e9\u30d5\u306b\u5bfe\u3059\u308b\u6700\u826f\u306e\u56de\u6570\u306f\u307e\u3060\u78ba\u5b9a\u3057\u3066\u3044\u306a\u3044<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>O\u306f\u5897\u3048\u65b9\u306e\u4e0a\u5074\u3001\u03a9\u306f\u4e0b\u5074\u3092\u8868\u3059\u8a18\u53f7\u3067\u3059\u3002\u00d5\u306e\u6ce2\u7dda\u306f\u3001log n\u306e\u591a\u9805\u5f0f\u56e0\u5b50\u3092\u7701\u3044\u3066\u3044\u308b\u3053\u3068\u3092\u8868\u3057\u307e\u3059\u3002\u8ad6\u6587\u306f\u5404\u5165\u529b\u306b\u3064\u3044\u3066\u8aa4\u308a\u78ba\u7387\u30923\u5206\u306e1\u4ee5\u4e0b\u306b\u3059\u308b\u8a08\u7b97\u91cf\u3092\u57fa\u6e96\u3068\u3057\u3001\u7e70\u308a\u8fd4\u3057\u306b\u3088\u3063\u3066\u3055\u3089\u306b\u9ad8\u3044\u6b63\u7b54\u7387\u306b\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u305f\u3081\u3001\u6307\u6570\u3060\u3051\u3092\u4f7f\u3063\u3066\u6709\u9650\u30b5\u30a4\u30ba\u3067\u306e\u901f\u5ea6\u5dee\u3092\u898b\u7a4d\u3082\u308b\u3068\u3001\u96a0\u308c\u305f\u5b9a\u6570\u3084\u5bfe\u6570\u56e0\u5b50\u3092\u53d6\u308a\u843d\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u4e0b\u9650\u306e\u221a(n log n)\u306b\u306f\u3001log n\u3082\u5e73\u65b9\u6839\u306e\u5185\u5074\u306b\u5165\u308a\u307e\u3059\u3002\u3053\u306e\u7d50\u679c\u306f\u3001\u4efb\u610f\u306e\u30b0\u30e9\u30d5\u3092O(\u221an)\u56de\u3067\u89e3\u3051\u308b\u53ef\u80fd\u6027\u3092\u9000\u3051\u307e\u3059\u3002\u4e00\u65b9\u3001\u5bfe\u6570\u56e0\u5b50\u3092\u8a31\u3057\u305f\u00d5(\u221an)\u307e\u3067\u9000\u3051\u305f\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3092\u5206\u3051\u3066\u8aad\u3080\u3068\u3001\u4e8c\u3064\u306e\u7d50\u679c\u304c\u3069\u3053\u307e\u3067\u554f\u984c\u3092\u72ed\u3081\u305f\u306e\u304b\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5168\u3066\u306e\u5370\u3092\u77e5\u308b\u4ee3\u308f\u308a\u306b\u3001\u96a3\u306e\u5370\u306e\u6570\u3092\u63a8\u5b9a\u3059\u308b<\/h2>\n<p>\u4e0a\u9650\u3092\u6539\u5584\u3059\u308b\u4e2d\u5fc3\u7684\u306a\u5de5\u592b\u306f\u3001\u5404\u9802\u70b9\u306e\u5468\u56f2\u306b\u5370\u4ed8\u304d\u306e\u9802\u70b9\u304c\u3044\u304f\u3064\u3042\u308b\u304b\u3092\u63a8\u5b9a\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3082\u3057\u3053\u306e\u6570\u304c\u6b63\u78ba\u306b\u5206\u304b\u308c\u3070\u3001\u300c\u5370\u4ed8\u304d\u306e\u96a3\u304c\u3042\u308b\u9802\u70b9\u300d\u306e\u4e2d\u304b\u3089\u3001\u305d\u306e\u9802\u70b9\u81ea\u8eab\u306b\u3082\u5370\u304c\u3042\u308b\u3082\u306e\u3092\u91cf\u5b50\u63a2\u7d22\u3059\u308c\u3070\u3088\u304f\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5168\u3066\u306e\u6570\u3092\u6b63\u78ba\u306b\u6c42\u3081\u3066\u3044\u3066\u306f\u3001\u554f\u3044\u5408\u308f\u305b\u3092\u6e1b\u3089\u305b\u307e\u305b\u3093\u3002<\/p>\n<p>\u305d\u3053\u3067\u7814\u7a76\u8005\u3089\u306f\u3001\u4e00\u90e8\u306e\u5165\u529b\u5024\u3092\u30b5\u30f3\u30d7\u30ea\u30f3\u30b0\u3057\u3001\u65e2\u77e5\u306e\u30b0\u30e9\u30d5\u69cb\u9020\u3092\u4f7f\u3063\u3066\u8fd1\u96a3\u306e\u6570\u3092\u307e\u3068\u3081\u3066\u63a8\u5b9a\u3057\u307e\u3059\u3002\u63a8\u5b9a\u7d50\u679c\u304c\u3070\u3089\u3070\u3089\u306b\u306a\u3089\u306a\u3044\u3088\u3046\u3001\u4e00\u3064\u306e\u9802\u70b9\u96c6\u5408\u304b\u3089\u751f\u3058\u308b\u8fd1\u96a3\u306e\u6570\u3068\u3057\u3066\u6574\u5408\u3055\u305b\u308b\u70b9\u3082\u7279\u5fb4\u3067\u3059\u3002\u3053\u306e\u96c6\u5408\u304c\u3001\u672c\u5f53\u306e\u5370\u4ed8\u304d\u9802\u70b9\u306e\u96c6\u5408\u3068\u4e00\u81f4\u3059\u308b\u5fc5\u8981\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u6b21\u306e\u63a2\u7d22\u306b\u4f7f\u3046\u8fd1\u96a3\u306e\u6570\u306e\u8aa4\u5dee\u3092\u6291\u3048\u308b\u3053\u3068\u304c\u76ee\u7684\u3067\u3059\u3002<\/p>\n<p>\u63a8\u5b9a\u3057\u305f\u6570\u304c\u5c0f\u3055\u3044\u9802\u70b9\u3092\u96c6\u3081\u305f\u90e8\u5206\u3068\u3001\u305d\u306e\u5916\u306b\u89e6\u308c\u308b\u8fba\u3092\u5206\u3051\u308b\u3068\u3001\u7570\u306a\u308b\u7406\u7531\u3067\u63a2\u7d22\u306e\u8ca0\u62c5\u3092\u6291\u3048\u3089\u308c\u307e\u3059\u3002\u7279\u306b\u300c\u885d\u7a81\u306a\u3057\u300d\u306e\u5165\u529b\u3067\u306f\u3001\u5370\u4ed8\u304d\u306e\u9802\u70b9\u306e\u96a3\u306b\u306f\u5370\u304c\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u308c\u306a\u306e\u306b\u96a3\u306e\u5370\u3092\u591a\u304f\u898b\u7a4d\u3082\u3063\u305f\u9802\u70b9\u304c\u305f\u304f\u3055\u3093\u3042\u308c\u3070\u3001\u63a8\u5b9a\u8aa4\u5dee\u304c\u5927\u304d\u304f\u306a\u308b\u306f\u305a\u3067\u3059\u3002\u8aa4\u5dee\u306e\u4e0a\u9650\u3092\u4f7f\u3046\u3053\u3068\u3067\u3001\u305d\u3046\u3057\u305f\u9802\u70b9\u304c\u591a\u304f\u306f\u5b58\u5728\u3067\u304d\u306a\u3044\u3068\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u6539\u826f\u7248\u306f\u3001\u8fba\u3092\u591a\u304f\u6301\u3064\u9802\u70b9\u306e\u51e6\u7406\u3068\u3001\u6b8b\u3063\u305f\u30b0\u30e9\u30d5\u306e\u6bb5\u968e\u7684\u306a\u7d5e\u308a\u8fbc\u307f\u3092\u7d44\u307f\u5408\u308f\u305b\u307e\u3059\u3002\u5370\u4ed8\u304d\u9802\u70b9\u306b\u3064\u306a\u304c\u308b\u8fba\u306e\u7dcf\u6570\u3092\u6291\u3048\u3001\u63a8\u5b9a\u3068\u691c\u67fb\u3092\u7e70\u308a\u8fd4\u3059\u3053\u3068\u3067\u3001\u6700\u5f8c\u306e\u63a2\u7d22\u3092\u8efd\u304f\u3057\u307e\u3059\u3002\u9014\u4e2d\u3067\u9664\u304f\u8fba\u3082\u5148\u306b\u691c\u67fb\u3059\u308b\u305f\u3081\u3001\u5358\u306b\u8abf\u3079\u308b\u5bfe\u8c61\u3092\u6368\u3066\u3066\u6b63\u7b54\u7387\u3092\u4e0a\u3052\u3066\u3044\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u4e0b\u9650\u306f\u300c\u63a2\u3057\u306b\u304f\u3044\u5165\u529b\u300d\u3092\u4f5c\u3063\u3066\u793a\u3059<\/h2>\n<p>\u4e0b\u9650\u306e\u8a3c\u660e\u3067\u306f\u3001\u6709\u9650\u4f53\u3068\u3044\u3046\u6709\u9650\u500b\u306e\u6570\u306e\u4f53\u7cfb\u4e0a\u306e\u70b9\u3068\u76f4\u7dda\u304b\u3089\u3001\u7279\u6b8a\u306a\u4e8c\u90e8\u30b0\u30e9\u30d5\u3092\u4f5c\u308a\u307e\u3059\u3002\u70b9\u3068\u76f4\u7dda\u3092\u305d\u308c\u305e\u308c\u9802\u70b9\u3068\u3057\u3001\u70b9\u304c\u305d\u306e\u76f4\u7dda\u4e0a\u306b\u3042\u308b\u3068\u304d\u306b\u8fba\u3067\u7d50\u3073\u307e\u3059\u3002\u885d\u7a81\u306e\u306a\u3044\u5370\u306e\u914d\u7f6e\u304b\u3089\u3001\u4e00\u3064\u306e\u76f4\u7dda\u3068\u305d\u306e\u4e0a\u306e\u70b9\u306e\u5370\u3060\u3051\u3092\u5909\u66f4\u3057\u3001\u885d\u7a81\u3059\u308b\u8fba\u304c\u3061\u3087\u3046\u3069\u4e00\u672c\u3042\u308b\u914d\u7f6e\u3092\u4f5c\u308b\u306e\u304c\u57fa\u672c\u306e\u69cb\u6210\u3067\u3059\u3002<\/p>\n<p>\u3053\u306e\u4e8c\u7a2e\u985e\u306e\u5165\u529b\u3092\u898b\u5206\u3051\u308b\u96e3\u3057\u3055\u3092\u3001\u8ca0\u306e\u91cd\u307f\u3082\u8a31\u3059<strong>\u4e00\u822c\u6575\u5bfe\u8005\u6cd5\uff08general adversary method\uff09<\/strong>\u3067\u8a55\u4fa1\u3057\u3066\u3044\u307e\u3059\u3002\u6b63\u306e\u91cd\u307f\u3060\u3051\u3092\u4f7f\u3046\u5f93\u6765\u306e\u65b9\u6cd5\u3067\u306f\u3001\u4e8c\u9802\u70b9\u3067\u78ba\u8a8d\u3067\u304d\u308b\u3068\u3044\u3046\u8a3c\u660e\u66f8\u306e\u5c0f\u3055\u3055\u304c\u969c\u5bb3\u306b\u306a\u308a\u3001O(\u221an)\u3092\u8d85\u3048\u308b\u4e0b\u9650\u3092\u793a\u305b\u307e\u305b\u3093\u3067\u3057\u305f\u3002\u4eca\u56de\u306e\u4e0b\u9650\u306f\u3001\u554f\u984c\u306e\u96e3\u3057\u3055\u3060\u3051\u3067\u306a\u304f\u3001\u305d\u308c\u3092\u8a3c\u660e\u3059\u308b\u65b9\u6cd5\u306e\u9650\u754c\u3092\u8d8a\u3048\u305f\u7d50\u679c\u3067\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2>\u5b9f\u88c5\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u307e\u3060\u5225\u306e\u8cbb\u7528\u3092\u898b\u308b\u5fc5\u8981\u304c\u3042\u308b<\/h2>\n<p>\u4eca\u56de\u306e\u524d\u9032\u306f\u3001\u65e2\u77e5\u306e\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3068\u672a\u77e5\u306e\u5370\u3092\u5206\u3051\u305f\u30e2\u30c7\u30eb\u3067\u3001\u91cf\u5b50\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u53ef\u80fd\u6027\u3092\u7d5e\u308a\u8fbc\u3093\u3060\u3053\u3068\u306b\u3042\u308a\u307e\u3059\u3002\u5c0f\u3055\u306a\u8a3c\u62e0\u3092\u63a2\u3059\u554f\u984c\u3067\u3082\u3001\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u306e\u69cb\u9020\u3092\u307e\u3068\u3081\u3066\u5229\u7528\u3059\u308b\u3068\u3001\u554f\u3044\u5408\u308f\u305b\u56de\u6570\u306e\u898b\u901a\u3057\u304c\u5909\u308f\u308b\u3068\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u969b\u306e\u7528\u9014\u3078\u9032\u3080\u306b\u306f\u3001\u5165\u529b\u3092\u91cf\u5b50\u7684\u306b\u554f\u3044\u5408\u308f\u305b\u3089\u308c\u308b\u5f62\u3078\u6e96\u5099\u3059\u308b\u65b9\u6cd5\u3001\u65e2\u77e5\u306e\u30b0\u30e9\u30d5\u3092\u51e6\u7406\u3059\u308b\u8a08\u7b97\u3001\u5fc5\u8981\u306a\u91cf\u5b50\u30d3\u30c3\u30c8\u6570\u3084\u56de\u8def\u306e\u6df1\u3055\u3082\u8a55\u4fa1\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u8ad6\u6587\u306b\u306f\u96c6\u5408\u4e0a\u306e\u6700\u5c0f\u5316\u306a\u3069\u3001\u30af\u30a8\u30ea\u4ee5\u5916\u306e\u8a08\u7b97\u304c\u91cd\u304f\u306a\u308a\u5f97\u308b\u51e6\u7406\u3082\u542b\u307e\u308c\u307e\u3059\u3002\u67fb\u8aad\u524d\u306e\u7406\u8ad6\u7d50\u679c\u3068\u3057\u3066\u3001\u56de\u6570\u306e\u4e0a\u9650\u304c\u6539\u5584\u3057\u305f\u3053\u3068\u3068\u3001\u5b9f\u6a5f\u3067\u6709\u5229\u306b\u52d5\u304f\u3053\u3068\u3092\u5206\u3051\u3066\u898b\u308b\u306e\u304c\u9069\u5207\u3067\u3059\u3002<\/p>\n<h2>\u51fa\u5178<\/h2>\n<ul>\n<li>Arjan Cornelissen\u307b\u304b\u300cBreaking the quantum barriers for Graph Collision\u300darXiv:2611.05356v1\u30012026\u5e7411\u67083\u65e5\u516c\u958b\u3002PDF\u8868\u7d19\u306fOctober 2026\u3002\u5b9a\u74061.1\u30fb1.2\u3001\u7bc01.1\u30fb2\u20134\u30fb6\u3092\u53c2\u7167\u3002<a href=\"https:\/\/arxiv.org\/abs\/2611.05356v1\">\u8ad6\u6587\u6982\u8981\u30fb\u7248\u60c5\u5831<\/a>\uff0f<a href=\"https:\/\/arxiv.org\/pdf\/2611.05356v1\">\u672c\u6587PDF<\/a>\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u3064\u306a\u304c\u308a\u65b9\u306f\u5206\u304b\u3063\u3066\u3044\u308b\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u3067\u3001\u5370\u306e\u4ed8\u3044\u305f\u4e8c\u3064\u306e\u70b9\u304c\u96a3\u308a\u5408\u3063\u3066\u3044\u308b\u304b\u3092\u8abf\u3079\u308b\u3002\u3053\u308c\u304c\u300c\u30b0\u30e9\u30d5\u885d\u7a81\u554f\u984c\uff08Graph Collision\uff09\u300d\u3067\u3059\u3002\u7b54\u3048\u304c\u300c\u3042\u308b\u300d\u306a\u3089\u3001\u305d\u306e\u4e00\u7d44\u3092\u793a\u3059\u3060\u3051\u3067\u78ba\u304b\u3081\u3089\u308c\u307e\u3059\u3002\u3057\u304b\u3057\u3001\u5927\u304d\u306a [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":2428,"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":[486],"class_list":["post-2430","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-computing","tag-graph-collision"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/11\/qs-graph-collision-query-bounds-20261106-866aea3e159f.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/2430","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=2430"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/2430\/revisions"}],"predecessor-version":[{"id":2431,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/2430\/revisions\/2431"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/2428"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}