{"id":983,"date":"2026-10-17T05:00:00","date_gmt":"2026-10-16T20:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=983"},"modified":"2026-10-17T03:25:58","modified_gmt":"2026-10-16T18:25:58","slug":"qs-oqd-tensor-operator-products-20261017","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=983","title":{"rendered":"OQD\u306e\u30c6\u30f3\u30bd\u30eb\u7a4d\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u5f0f\u3068\u884c\u5217\u7a4d\u306e\u9055\u3044"},"content":{"rendered":"<p>\u91cf\u5b50\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u5f0f\u306b\u3001\u639b\u3051\u7b97\u3089\u3057\u3044\u8a18\u53f7\u304c\u4e8c\u3064\u51fa\u3066\u304d\u307e\u3059\u3002Open Quantum Design\uff08OQD\uff09\u306eAnalog\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3067\u306f\u3001\u6f14\u7b97\u5b50\u3069\u3046\u3057\u3092 <code>*<\/code> \u3067\u3064\u306a\u3050\u5834\u5408\u3068\u3001<code>@<\/code> \u3067\u3064\u306a\u3050\u5834\u5408\u3067\u610f\u5473\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u540c\u3058\u91cf\u5b50\u30d3\u30c3\u30c8\u3078\u306e\u4f5c\u7528\u3092\u91cd\u306d\u308b\u306e\u304b\u3001\u5225\u3005\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u4e00\u3064\u306e\u7cfb\u3068\u3057\u3066\u6271\u3046\u306e\u304b\u3002\u3053\u306e\u9055\u3044\u3092\u898b\u5931\u3046\u3068\u3001\u5f0f\u306e\u898b\u305f\u76ee\u304c\u4f3c\u3066\u3044\u3066\u3082\u3001\u8868\u3057\u3066\u3044\u308b\u5bfe\u8c61\u307e\u3067\u5909\u308f\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002<sup>\uff3b1\u30012\uff3d<\/sup><\/p>\n<p>\u624b\u304c\u304b\u308a\u306b\u306a\u308b\u306e\u304c\u3001\u30c6\u30f3\u30bd\u30eb\u7a4d\u3067\u3059\u3002\u4e8c\u3064\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3068\u304d\u3001\u4f55\u3092\u639b\u3051\u3001\u4f55\u306e\u9806\u756a\u3092\u4fdd\u3063\u3066\u3044\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002OQD\u306e\u8a18\u6cd5\u3092\u3001\u624b\u3067\u8ffd\u3048\u308b\u5c0f\u3055\u306a\u884c\u5217\u304b\u3089\u898b\u3066\u3044\u304d\u307e\u3059\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>OQD\u306e\u6f14\u7b97\u5b50\u3067\u306f <code>*<\/code> \u304c\u6f14\u7b97\u5b50\u306e\u7a4d\u3001<code>@<\/code> \u304c\u30c6\u30f3\u30bd\u30eb\u7a4d\u3067\u3059\u3002\u540c\u3058\u7a7a\u9593\u3067\u4f5c\u7528\u3092\u91cd\u306d\u308b\u3053\u3068\u3068\u3001\u5225\u3005\u306e\u7a7a\u9593\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u3053\u3068\u3092\u5206\u3051\u307e\u3059\u3002<\/li>\n<li>1\u91cf\u5b50\u30d3\u30c3\u30c8\u306e2\u00d72\u884c\u5217\u3092\u4e8c\u3064\u30c6\u30f3\u30bd\u30eb\u7a4d\u306b\u3059\u308b\u3068\u30012\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u8868\u30594\u00d74\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002\u3069\u3061\u3089\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u3078\u4f5c\u7528\u3059\u308b\u304b\u306f\u3001\u56e0\u5b50\u306e\u4e26\u3073\u9806\u3067\u6c7a\u307e\u308a\u307e\u3059\u3002<\/li>\n<li>\u5f0f\u3092\u4f5c\u308b\u3053\u3068\u3001\u6570\u5024\u3068\u3057\u3066\u8a08\u7b97\u3059\u308b\u3053\u3068\u3001\u5b9f\u6a5f\u3067\u5b9f\u884c\u3059\u308b\u3053\u3068\u306f\u5225\u3067\u3059\u3002\u7a4d\u306e\u8a18\u53f7\u3060\u3051\u3067\u3001\u91cf\u5b50\u3082\u3064\u308c\u3084\u8a08\u7b97\u6027\u80fd\u3092\u5224\u65ad\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u307e\u305a\u300c\u3069\u306e\u7a7a\u9593\u306e\u6f14\u7b97\u304b\u300d\u3092\u305d\u308d\u3048\u308b<\/h2>\n<p>1\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u72b6\u614b\u306f\u3001<code>|0&gt;<\/code> \u3068 <code>|1&gt;<\/code> \u3092\u57fa\u6e96\u306b\u3057\u305f\u4e8c\u3064\u306e\u8907\u7d20\u6570\u306e\u6210\u5206\u3067\u8868\u305b\u307e\u3059\u3002\u3053\u306e\u57fa\u6e96\u3092<strong>\u57fa\u5e95<\/strong>\u3068\u547c\u3073\u307e\u3059\u3002\u72b6\u614b\u3092\u5909\u63db\u3059\u308b\u6f14\u7b97\u5b50\u306f\u3001\u3053\u306e\u4e8c\u3064\u306e\u6210\u5206\u3092\u53d7\u3051\u53d6\u308a\u3001\u5225\u306e\u4e8c\u3064\u306e\u6210\u5206\u3078\u5199\u30592\u00d72\u884c\u5217\u3068\u3057\u3066\u8868\u305b\u307e\u3059\u3002<\/p>\n<p>\u3053\u3053\u3067\u306f\u30d1\u30a6\u30ea\u6f14\u7b97\u5b50\u306eX\u3068Z\u3001\u4f55\u3082\u5909\u3048\u306a\u3044\u6052\u7b49\u6f14\u7b97\u5b50I\u3092\u4f7f\u3044\u307e\u3059\u3002X\u306f\u57fa\u5e95\u72b6\u614b0\u30681\u3092\u5165\u308c\u66ff\u3048\u3001Z\u306f0\u3092\u305d\u306e\u307e\u307e\u306b\u3057\u30661\u306e\u6210\u5206\u306e\u7b26\u53f7\u3092\u53cd\u8ee2\u3057\u307e\u3059\u3002Z\u306f\u30011\u30920\u3078\u5909\u3048\u308b\u6f14\u7b97\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<pre style=\"overflow-x:auto\"><code>X = [0  1]    Z = [1   0]    I = [1  0]\n    [1  0]        [0  -1]        [0  1]<\/code><\/pre>\n<p>\u4ee5\u4e0b\u3067\u306f\u72b6\u614b\u3092\u5217\u30d9\u30af\u30c8\u30eb\u3067\u66f8\u304d\u3001\u884c\u5217\u306f\u5de6\u304b\u3089\u639b\u3051\u307e\u3059\u3002\u3053\u306e\u7d04\u675f\u3067\u306f\u3001\u7a4dXZ\u306f<strong>\u53f3\u5074\u306eZ\u3092\u5148\u306b\u3001\u5de6\u5074\u306eX\u3092\u5f8c\u306b\u4f5c\u7528\u3055\u305b\u308b<\/strong>\u5f0f\u3067\u3059\u3002\u4e8c\u3064\u3068\u3082\u540c\u30581\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u7a7a\u9593\u3067\u50cd\u304f\u306e\u3067\u3001\u7d50\u679c\u30822\u00d72\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2>\u884c\u5217\u7a4d\u306f\u3001\u540c\u3058\u5bfe\u8c61\u306b\u4f5c\u7528\u3092\u91cd\u306d\u308b<\/h2>\n<p>\u5b9f\u969b\u306b\u639b\u3051\u308b\u3068\u3001XZ\u3068ZX\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<pre style=\"overflow-x:auto\"><code>XZ = [0  -1]    ZX = [ 0  1]\n     [1   0]         [-1  0]<\/code><\/pre>\n<p>\u4e8c\u3064\u306f\u540c\u3058\u884c\u5217\u3067\u306f\u306a\u304f\u3001<code>XZ = \u2212ZX<\/code> \u3067\u3059\u3002\u6f14\u7b97\u306e\u9806\u756a\u3092\u4ea4\u63db\u3057\u3066\u3082\u540c\u3058\u306b\u306a\u308b\u3053\u3068\u3092\u300c\u53ef\u63db\u300d\u3068\u3044\u3044\u307e\u3059\u304c\u3001\u3053\u306eX\u3068Z\u306f\u53ef\u63db\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002OQD\u306e <code>PauliX() * PauliZ()<\/code> \u306f\u3001\u3053\u306e\u3088\u3046\u306a\u6f14\u7b97\u5b50\u306e\u7a4d\u3092\u8868\u3059\u5f0f\u3068\u3057\u3066\u8aad\u3081\u307e\u3059\u3002<sup>\uff3b2\u30013\uff3d<\/sup><\/p>\n<p>\u305f\u3060\u3057\u3001\u3053\u306e\u4f8b\u306e\u7b26\u53f7\u5dee\u3092\u3001\u305d\u306e\u307e\u307e\u300c\u9806\u756a\u3092\u5909\u3048\u308b\u3068\u6e2c\u5b9a\u7d50\u679c\u304c\u5909\u308f\u308b\u300d\u3068\u8aac\u660e\u3059\u308b\u306e\u306f\u6b63\u78ba\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002XZ\u3068ZX\u3092\u305d\u308c\u305e\u308c\u540c\u3058\u72b6\u614b\u3078\u5358\u72ec\u3067\u9069\u7528\u3057\u305f\u7d50\u679c\u306f\u3001\u72b6\u614b\u5168\u4f53\u306b\u22121\u304c\u639b\u304b\u3063\u305f\u9055\u3044\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u306f<strong>\u5168\u4f53\u4f4d\u76f8<\/strong>\u306e\u5dee\u3067\u3001\u3053\u306e\u4e8c\u3064\u306e\u51fa\u529b\u3060\u3051\u3092\u6bd4\u3079\u3066\u3082\u6e2c\u5b9a\u78ba\u7387\u306f\u5909\u308f\u308a\u307e\u305b\u3093\u3002\u3053\u3053\u3067\u78ba\u304b\u3081\u3066\u3044\u308b\u306e\u306f\u3001\u884c\u5217\u3068\u3057\u3066\u306e\u7a4d\u3068\u9806\u5e8f\u306e\u95a2\u4fc2\u3067\u3059\u3002<\/p>\n<h2>\u30c6\u30f3\u30bd\u30eb\u7a4d\u306f\u3001\u4e8c\u3064\u306e\u5bfe\u8c61\u3092\u4e00\u7dd2\u306b\u6271\u3046<\/h2>\n<p>\u4eca\u5ea6\u306f\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u4e8c\u3064\u7528\u610f\u3057\u307e\u3059\u3002\u57fa\u5e95\u306f <code>|00&gt;\u3001|01&gt;\u3001|10&gt;\u3001|11&gt;<\/code> \u306e\u56db\u3064\u3067\u3059\u3002\u5de6\u306e\u6570\u5b57\u3092\u7b2c1\u91cf\u5b50\u30d3\u30c3\u30c8\u3001\u53f3\u3092\u7b2c2\u91cf\u5b50\u30d3\u30c3\u30c8\u3068\u3057\u307e\u3059\u3002\u4e00\u822c\u306e\u72b6\u614b\u306f\u3001\u3053\u306e\u56db\u3064\u306b\u5bfe\u5fdc\u3059\u308b\u8907\u7d20\u6570\u306e\u6210\u5206\u3067\u8868\u3059\u306e\u3067\u3001\u6f14\u7b97\u5b50\u306e\u884c\u5217\u306f4\u00d74\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u7a7a\u9593\u3092\u7d44\u307f\u7acb\u3066\u308b\u306e\u304c\u30c6\u30f3\u30bd\u30eb\u7a4d\u3067\u3059\u3002\u884c\u5217\u3067\u66f8\u3044\u305f\u30c6\u30f3\u30bd\u30eb\u7a4d\u306f<strong>\u30af\u30ed\u30cd\u30c3\u30ab\u30fc\u7a4d<\/strong>\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002X\u2297Z\u306a\u3089\u3001X\u306e\u5404\u8981\u7d20\u3092\u3001\u305d\u306e\u6570\u3092\u639b\u3051\u305fZ\u3068\u3044\u30462\u00d72\u306e\u584a\u306b\u7f6e\u304d\u63db\u3048\u307e\u3059\u3002X\u306e0\u30681\u306b\u5408\u308f\u305b\u3066\u3001\u30bc\u30ed\u306e\u584a\u3068Z\u306e\u584a\u304c\u4e26\u3076\u305f\u3081\u3001\u6b21\u306e4\u00d74\u884c\u5217\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<pre style=\"overflow-x:auto\"><code>          [ 0  0 \u2502 1   0 ]\nX \u2297 Z =  [ 0  0 \u2502 0  -1 ]\n          [\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500]\n          [ 1  0 \u2502 0   0 ]\n          [ 0 -1 \u2502 0   0 ]<\/code><\/pre>\n<p>OQD\u3067\u306f\u3053\u308c\u3092 <code>PauliX() @ PauliZ()<\/code> \u3068\u66f8\u304d\u307e\u3059\u3002\u5de6\u306eX\u306f\u7b2c1\u91cf\u5b50\u30d3\u30c3\u30c8\u3001\u53f3\u306eZ\u306f\u7b2c2\u91cf\u5b50\u30d3\u30c3\u30c8\u3078\u306e\u4f5c\u7528\u3067\u3059\u3002\u3053\u306e\u5de6\u53f3\u306f\u3001\u5148\u307b\u3069\u306e\u884c\u5217\u7a4d\u306e\u300c\u5148\u306b\u30fb\u5f8c\u306b\u300d\u3068\u306f\u7570\u306a\u308a\u3001<strong>\u3069\u306e\u5bfe\u8c61\u3092\u62c5\u5f53\u3059\u308b\u304b<\/strong>\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<sup>\uff3b1\u20133\uff3d<\/sup><\/p>\n<figure>\n<a href=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-oqd-tensor-operator-products-20261017-source-figure-1-344157fb37cd.png\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-oqd-tensor-operator-products-20261017-source-figure-1-344157fb37cd.png\" width=\"1080\" height=\"1440\" style=\"max-width:100%;height:auto\" alt=\"\u4e0a\u6bb5\u306f\u540c\u30581\u91cf\u5b50\u30d3\u30c3\u30c8\u306bZ\u3001X\u306e\u9806\u3067\u4f5c\u7528\u3059\u308bXZ\u3068\u3001\u5225\u3005\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u306bX\u3068Z\u3092\u5bfe\u5fdc\u3055\u305b\u308bX\u30c6\u30f3\u30bd\u30ebZ\u306e\u6bd4\u8f03\u3002\u4e0b\u6bb5\u306f\u57fa\u5e9500\u300101\u300110\u300111\u304c\u305d\u308c\u305e\u308c10\u3001\u30de\u30a4\u30ca\u30b911\u300100\u3001\u30de\u30a4\u30ca\u30b901\u306b\u5199\u308b\u5bfe\u5fdc\u3092\u793a\u3059\u3002\" \/><\/a><figcaption>\u56f31\u3000\u884c\u5217\u7a4d\u306e\u9806\u5e8f\u3068\u3001\u30c6\u30f3\u30bd\u30eb\u7a4d\u306e\u5bfe\u8c61\u306e\u4e26\u3073\u3092\u5206\u3051\u3066\u8aad\u3080\u3002\u57fa\u5e95\u9806\u306f |00&gt;\u3001|01&gt;\u3001|10&gt;\u3001|11&gt;\u3002\u4e0a\u6bb5\u306e\u5927\u304d\u3055\u306f\u884c\u5217\u306e\u6b21\u5143\u3092\u793a\u3059\u3002\u4e0b\u6bb5\u306e\u7b26\u53f7\u306f\u72b6\u614b\u6210\u5206\u306e\u7b26\u53f7\u3067\u3001\u6e2c\u5b9a\u5024\u304c\u8ca0\u306b\u306a\u308b\u610f\u5473\u3067\u306f\u306a\u3044\u3002OQD\u306e\u6f14\u7b97\u5b50\u306e\u5b9a\u7fa9\uff3b1\u20133\uff3d\u3092\u624b\u304c\u304b\u308a\u306b\u3001\u4e0a\u8a18\u306e\u884c\u5217\u304b\u3089\u4f5c\u6210\u3057\u305f\u8aac\u660e\u56f3\u3002\u753b\u50cf\u3092\u9078\u3076\u3068\u539f\u5bf8\u3067\u8868\u793a\u3067\u304d\u307e\u3059\u3002<\/figcaption><\/figure>\n<p>\u305f\u3068\u3048\u3070 <code>|01&gt;<\/code> \u306a\u3089\u3001X\u304c\u7b2c1\u91cf\u5b50\u30d3\u30c3\u30c8\u306e0\u30921\u3078\u5199\u3057\u3001Z\u304c\u7b2c2\u91cf\u5b50\u30d3\u30c3\u30c8\u306e1\u306b\u22121\u3092\u639b\u3051\u308b\u306e\u3067\u3001<code>\u2212|11&gt;<\/code> \u306b\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9\u3001<code>|00&gt;<\/code> \u306f <code>|10&gt;<\/code> \u3067\u3059\u3002\u7b26\u53f7\u306e\u6709\u7121\u306f\u7b2c2\u91cf\u5b50\u30d3\u30c3\u30c8\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u5165\u529b\u306e\u56db\u3064\u306e\u57fa\u5e95\u3059\u3079\u3066\u3092\u8abf\u3079\u308b\u3068\u3001\u884c\u5217\u306e\u5404\u5217\u3082\u78ba\u304b\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n<h2>\u4f55\u3082\u3057\u306a\u3044I\u306b\u3082\u3001\u5bfe\u8c61\u3092\u6307\u5b9a\u3059\u308b\u5f79\u5272\u304c\u3042\u308b<\/h2>\n<p>2\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u3046\u3061\u4e00\u3064\u3060\u3051\u3078X\u3092\u4f5c\u7528\u3055\u305b\u305f\u3044\u3068\u304d\u3082\u3001\u5168\u4f53\u3092\u8868\u3059\u5f0f\u306b\u306f\u4e8c\u3064\u5206\u306e\u5834\u6240\u304c\u5fc5\u8981\u3067\u3059\u3002\u7b2c1\u3060\u3051\u306a\u3089X\u2297I\u3001\u7b2c2\u3060\u3051\u306a\u3089I\u2297X\u3068\u66f8\u304d\u307e\u3059\u3002I\u306f\u5024\u3092\u5909\u3048\u307e\u305b\u3093\u304c\u3001\u300c\u3053\u3053\u306b\u3042\u308b\u91cf\u5b50\u30d3\u30c3\u30c8\u306f\u305d\u306e\u307e\u307e\u306b\u3059\u308b\u300d\u3068\u3044\u3046\u6307\u5b9a\u3092\u4fdd\u3061\u307e\u3059\u3002<\/p>\n<div style=\"overflow-x:auto\">\n<table>\n<thead>\n<tr>\n<th scope=\"col\">\u5f0f<\/th>\n<th scope=\"col\">\u5bfe\u8c61<\/th>\n<th scope=\"col\">|00&gt;\u3078\u306e\u4f5c\u7528<\/th>\n<th scope=\"col\">\u884c\u5217\u306e\u5927\u304d\u3055<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<th scope=\"row\">XZ<\/th>\n<td>\u540c\u30581\u91cf\u5b50\u30d3\u30c3\u30c8<\/td>\n<td>2\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u57fa\u5e95\u306b\u306f\u76f4\u63a5\u5bfe\u5fdc\u3057\u306a\u3044<\/td>\n<td>2\u00d72<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">X\u2297I<\/th>\n<td>\u7b2c1\u3092\u53cd\u8ee2\u3001\u7b2c2\u306f\u7dad\u6301<\/td>\n<td>|10&gt;<\/td>\n<td>4\u00d74<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">I\u2297X<\/th>\n<td>\u7b2c1\u306f\u7dad\u6301\u3001\u7b2c2\u3092\u53cd\u8ee2<\/td>\n<td>|01&gt;<\/td>\n<td>4\u00d74<\/td>\n<\/tr>\n<tr>\n<th scope=\"row\">X\u2297Z<\/th>\n<td>\u7b2c1\u3092\u53cd\u8ee2\u3001\u7b2c2\u306e1\u6210\u5206\u306e\u7b26\u53f7\u3092\u53cd\u8ee2<\/td>\n<td>|10&gt;<\/td>\n<td>4\u00d74<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>\u30c6\u30f3\u30bd\u30eb\u56e0\u5b50\u306e\u4f4d\u7f6e\u3092\u5165\u308c\u66ff\u3048\u3066\u3001X\u2297I\u3092I\u2297X\u306b\u5909\u3048\u308b\u3068\u3001\u540c\u3058\u5165\u529b <code>|00&gt;<\/code> \u304b\u3089\u3067\u3082\u7570\u306a\u308b\u57fa\u5e95\u72b6\u614b\u3078\u5199\u308a\u307e\u3059\u3002\u30c6\u30f3\u30bd\u30eb\u7a4d\u306e\u56e0\u5b50\u3092\u4e26\u3079\u66ff\u3048\u308b\u3068\u304d\u306b\u306f\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u306e\u5bfe\u5fdc\u307e\u3067\u5909\u3048\u3066\u3044\u306a\u3044\u304b\u78ba\u8a8d\u304c\u5fc5\u8981\u3067\u3059\u3002\u306a\u304a\u3001\u5225\u3005\u306e\u5bfe\u8c61\u3078\u50cd\u304fX\u2297I\u3068I\u2297Z\u3092<strong>\u884c\u5217\u7a4d\u3067\u9806\u306b\u4f5c\u7528<\/strong>\u3055\u305b\u308b\u5834\u5408\u306f\u3001\u3069\u3061\u3089\u306e\u9806\u3067\u3082X\u2297Z\u306b\u306a\u308a\u307e\u3059\u3002\u540c\u3058\u300c\u9806\u756a\u300d\u3067\u3082\u3001\u5bfe\u8c61\u306e\u914d\u7f6e\u3068\u4f5c\u7528\u306e\u9806\u5e8f\u3067\u306f\u610f\u5473\u304c\u9055\u3044\u307e\u3059\u3002<\/p>\n<p>OQD\u3067\u3053\u306eI\u3092\u4f7f\u3046\u3068\u304d\u306f\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u7528\u306e <code>PauliI()<\/code> \u3092\u9078\u3073\u307e\u3059\u3002\u540c\u3058\u30bd\u30fc\u30b9\u306b\u3042\u308b <code>Identity()<\/code> \u306f\u3001\u30dc\u30bd\u30f3\u3068\u3044\u3046\u5225\u306e\u81ea\u7531\u5ea6\u306eFock\u7a7a\u9593\u306b\u5bfe\u3059\u308b\u6052\u7b49\u6f14\u7b97\u5b50\u3067\u3059\u3002\u540d\u524d\u306e\u5370\u8c61\u3060\u3051\u3067\u7f6e\u304d\u63db\u3048\u305a\u3001\u5f0f\u304c\u3069\u306e\u7a2e\u985e\u306e\u5bfe\u8c61\u3092\u8868\u3059\u304b\u3092\u305d\u308d\u3048\u307e\u3059\u3002<sup>\uff3b2\u30013\uff3d<\/sup><\/p>\n<h2>OQD\u306e\u5f0f\u306f\u3001\u307e\u305a\u6f14\u7b97\u306e\u69cb\u9020\u3092\u8a18\u9332\u3059\u308b<\/h2>\n<p>OQD\u306e\u516c\u958b\u5b9f\u88c5\u3067\u306f\u3001\u6f14\u7b97\u5b50\u3069\u3046\u3057\u306e <code>*<\/code> \u306f <code>OperatorMul<\/code>\u3001<code>@<\/code> \u306f <code>OperatorKron<\/code> \u3068\u3044\u3046\u7bc0\u3092\u4f5c\u308a\u307e\u3059\u3002\u6570\u3092\u639b\u3051\u308b <code>2 * PauliX()<\/code> \u306f <code>OperatorScalarMul<\/code> \u3067\u3059\u3002\u639b\u3051\u305f\u5024\u3084\u5de6\u53f3\u306e\u6f14\u7b97\u5b50\u3092\u4fdd\u6301\u3059\u308b\u3001\u62bd\u8c61\u69cb\u6587\u6728\uff08AST\uff09\u3068\u3044\u3046\u69cb\u9020\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u6570\u3068\u306e\u639b\u3051\u7b97\u307e\u3067\u3001\u91cf\u5b50\u30d3\u30c3\u30c8\u3092\u5897\u3084\u3059\u64cd\u4f5c\u306b\u306a\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<sup>\uff3b3\uff3d<\/sup><\/p>\n<p>\u3064\u307e\u308a\u3001\u3053\u3053\u3067\u306e <code>@<\/code> \u306e\u610f\u5473\u306fOQD\u306e\u6f14\u7b97\u5b50\u578b\u304c\u5b9a\u3081\u3066\u3044\u307e\u3059\u3002\u5225\u306e\u6570\u5024\u914d\u5217\u306e\u8a18\u6cd5\u3092\u305d\u306e\u307e\u307e\u6301\u3061\u8fbc\u3093\u3067\u8aad\u307e\u305a\u3001\u300c\u4f55\u306e\u578b\u306e\u3001\u3069\u306e\u6f14\u7b97\u304b\u300d\u3092\u78ba\u8a8d\u3059\u308b\u3068\u6df7\u4e71\u3092\u6e1b\u3089\u305b\u307e\u3059\u3002\u672c\u8a18\u4e8b\u306e\u884c\u5217\u306f\u3001\u660e\u793a\u3057\u305f\u57fa\u5e95\u3068\u30d1\u30a6\u30ea\u884c\u5217\u304b\u3089\u72ec\u7acb\u306b\u8a08\u7b97\u3057\u305f\u3082\u306e\u3067\u3059\u3002OQD\u3092\u5b9f\u884c\u3057\u305f\u6570\u5024\u51fa\u529b\u3084\u3001\u91cf\u5b50\u5b9f\u6a5f\u306e\u6e2c\u5b9a\u7d50\u679c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u5f0f\u304c\u7d44\u3081\u308b\u3053\u3068\u3068\u3001\u76ee\u7684\u306b\u5408\u3046\u7269\u7406\u30e2\u30c7\u30eb\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u3082\u5225\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u3084\u76f8\u4e92\u4f5c\u7528\u3092\u8a18\u8ff0\u3059\u308b\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u3068\u3001\u305d\u308c\u306b\u3088\u308b\u6642\u9593\u767a\u5c55\u3067\u72b6\u614b\u3092\u5909\u3048\u308b\u6f14\u7b97\u306f\u5f79\u5272\u304c\u7570\u306a\u308a\u307e\u3059\u3002\u7a4d\u306e\u8a18\u6cd5\u3060\u3051\u304b\u3089\u3001\u3069\u306e\u5b9f\u6a5f\u3067\u52d5\u304f\u304b\u3001\u8aa4\u5dee\u304c\u3069\u308c\u307b\u3069\u304b\u3001\u8a08\u7b97\u304c\u901f\u3044\u304b\u307e\u3067\u306f\u5206\u304b\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u7a4d\u306e\u8a18\u53f7\u304b\u3089\u91cf\u5b50\u3082\u3064\u308c\u3092\u6c7a\u3081\u3064\u3051\u306a\u3044<\/h2>\n<p>X\u2297Z\u3092\u898b\u3066\u300c\u4e8c\u3064\u306e\u91cf\u5b50\u30d3\u30c3\u30c8\u304c\u7d50\u3073\u4ed8\u304f\u304b\u3089\u3001\u5fc5\u305a\u3082\u3064\u308c\u304c\u751f\u3058\u308b\u300d\u3068\u8003\u3048\u308b\u306e\u3082\u65e9\u8a08\u3067\u3059\u3002X\u2297Z\u305d\u306e\u3082\u306e\u3092\u72b6\u614b\u3078\u306e\u6f14\u7b97\u3068\u3057\u3066\u4f7f\u3046\u306a\u3089\u3001\u305d\u308c\u305e\u308c\u306e\u5bfe\u8c61\u3078X\u3068Z\u3092\u5225\u3005\u306b\u4f5c\u7528\u3055\u305b\u305f\u3082\u306e\u3067\u3059\u3002\u6700\u521d\u306e\u72b6\u614b\u304c <code>|a&gt;\u2297|b&gt;<\/code> \u306e\u3088\u3046\u306b\u4e8c\u3064\u306b\u5206\u3051\u3066\u66f8\u3051\u308b\u306a\u3089\u3001\u51fa\u529b\u3082 <code>(X|a&gt;)\u2297(Z|b&gt;)<\/code> \u3068\u5206\u3051\u3066\u66f8\u3051\u307e\u3059\u3002\u3053\u306e\u4f5c\u7528\u3060\u3051\u3067\u3001\u3082\u3064\u308c\u3066\u3044\u306a\u3044\u7d14\u7c8b\u72b6\u614b\u304c\u3082\u3064\u308c\u305f\u72b6\u614b\u306b\u306a\u308b\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>\u4e00\u65b9\u3067\u3001\u540c\u3058X\u2297Z\u3068\u3044\u3046\u5f0f\u3092\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3\u306e\u4e00\u9805\u306b\u4f7f\u3046\u5834\u5408\u3001\u8abf\u3079\u308b\u3079\u304d\u5bfe\u8c61\u306f\u3001\u305d\u306e\u30e2\u30c7\u30eb\u3068\u6642\u9593\u767a\u5c55\u3092\u542b\u3080\u5168\u4f53\u3067\u3059\u3002\u300c\u7a4d\u4f5c\u7528\u7d20\u3092\u305d\u306e\u307e\u307e\u9069\u7528\u3057\u305f\u8a71\u300d\u3068\u6df7\u305c\u306a\u3044\u3053\u3068\u304c\u5927\u5207\u3067\u3059\u3002\u5f0f\u3092\u8aad\u3080\u3068\u304d\u306f\u3001\u307e\u305a\u5bfe\u8c61\u306e\u6570\u3068\u7a2e\u985e\u3001\u6b21\u306b\u57fa\u5e95\u3068\u56e0\u5b50\u306e\u4e26\u3073\u3001\u6700\u5f8c\u306b\u5f0f\u306e\u5f79\u5272\u3092\u78ba\u304b\u3081\u308b\u3002\u3053\u306e\u4e09\u3064\u3092\u305d\u308d\u3048\u308b\u3068\u3001\u77ed\u3044 <code>*<\/code> \u3068 <code>@<\/code> \u306e\u9055\u3044\u304c\u3001\u4f55\u3092\u8a08\u7b97\u3057\u3088\u3046\u3068\u3057\u3066\u3044\u308b\u304b\u306e\u9055\u3044\u3068\u3057\u3066\u898b\u3048\u3066\u304d\u307e\u3059\u3002<\/p>\n<h2>\u51fa\u5178<\/h2>\n<ol>\n<li>Open Quantum Design, <a href=\"https:\/\/docs.openquantumdesign.org\/open-quantum-design-core\/explanation\/analog_interface.html\">Analog interface \u2014 Explanation<\/a>\uff082026\u5e7410\u670817\u65e5JST\u306b\u53d6\u5f97\u3057\u305f\u4fdd\u5b58\u7248\uff09\u3002\u91cf\u5b50\u81ea\u7531\u5ea6\u3068\u6f14\u7b97\u306e\u7a2e\u985e\u3002<\/li>\n<li>Open Quantum Design, <a href=\"https:\/\/docs.openquantumdesign.org\/open-quantum-design-core\/reference\/analog_interface.html\">Analog interface \u2014 API Reference<\/a>\uff08\u540c\u65e5\u53d6\u5f97\uff09\u3002Pauli\u3001Ladder\u3001Operator\u306e\u5b9a\u7fa9\u3002<\/li>\n<li>Open Quantum Design, <a href=\"https:\/\/github.com\/OpenQuantumDesign\/oqd-core\/blob\/4f34f34ebd4e2df92c08544b8e1cbfcb6ad20070\/src\/oqd_core\/interface\/analog\/operator.py\">oqd-core \/ operator.py<\/a>\uff08commit <code>4f34f34e<\/code> \u306b\u7248\u3092\u56fa\u5b9a\uff09\u3002\u6f14\u7b97\u5b50\u306e\u69cb\u6587\u6728\u3068\u5404\u8a18\u53f7\u306e\u5b9f\u88c5\u3002Web\u89e3\u8aac\u306f\u53d6\u5f97\u6642\u306e\u5185\u5bb9\u3001\u30b3\u30fc\u30c9\u306f\u3053\u306e\u56fa\u5b9a\u7248\u3092\u53c2\u7167\u3057\u3066\u3044\u307e\u3059\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u91cf\u5b50\u30d7\u30ed\u30b0\u30e9\u30e0\u306e\u5f0f\u306b\u3001\u639b\u3051\u7b97\u3089\u3057\u3044\u8a18\u53f7\u304c\u4e8c\u3064\u51fa\u3066\u304d\u307e\u3059\u3002Open Quantum Design\uff08OQD\uff09\u306eAnalog\u30a4\u30f3\u30bf\u30fc\u30d5\u30a7\u30fc\u30b9\u3067\u306f\u3001\u6f14\u7b97\u5b50\u3069\u3046\u3057\u3092 * \u3067\u3064\u306a\u3050\u5834\u5408\u3068\u3001@ \u3067\u3064\u306a\u3050\u5834\u5408\u3067\u610f\u5473\u304c\u5909\u308f\u308a\u307e\u3059\u3002\u540c\u3058\u91cf\u5b50 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