{"provider_url":"https://hatena.blog","categories":["quantum_computing"],"title":"Qiskit (38) \u2015 HHL \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0","author_url":"https://blog.hatena.ne.jp/derwind/","description":"$n$ \u6b21\u6b63\u65b9\u884c\u5217 $A$ \u3068\u7e26\u30d9\u30af\u30c8\u30eb $b$ \u304c\u4e0e\u3048\u3089\u308c\u305f\u6642\u306b\u3001$Ax = b$ \u3092\u89e3\u304d\u305f\u3044\u3002\u66f8\u7c4d\u306e\u901a\u308a\u306b\u8003\u3048\u308b\u3053\u3068\u3067\u3001$A$ \u306f\u30a8\u30eb\u30df\u30fc\u30c8\u884c\u5217\u3068\u8003\u3048\u3066\u826f\u3044\u3002\u4e21\u8fba\u3092 $|b|$ \u3067\u5272\u308b\u3068 $A \\frac{x}{|b|} = \\frac{b}{|b|}$ \u3068\u306a\u308b\u304c\u3001$\\frac{x}{|b|}$ \u3068 $\\frac{b}{|b|}$ \u3092\u305d\u308c\u305e\u308c\u91cf\u5b50\u72b6\u614b $\\ket{x}$, $\\ket{b}$ \u3068\u8003\u3048\u3066 $A \\ket{x} = \\ket{b}$ \u3068\u307f\u308b\u3002Solving Linear Systems of Equations using HHL \u306e\u8aac\u660e\u3092\u501f\u308a\u308b\u3068\u3001$b$ \u304a\u3088\u3073 $x$ \u306e \u2026","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","height":"190","url":"https://randommemory.hatenablog.com/entry/2022/02/06/184207","published":"2022-02-06 18:42:07","width":"100%","image_url":null,"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F02%2F06%2F184207\" title=\"Qiskit (38) \u2015 HHL \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0 - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","version":"1.0","type":"rich","blog_url":"https://randommemory.hatenablog.com/","author_name":"derwind","provider_name":"Hatena Blog"}