{"blog_url":"https://randommemory.hatenablog.com/","image_url":null,"author_name":"derwind","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F05%2F03%2F214817\" title=\"&lt;QT&gt; P \u30b2\u30fc\u30c8 - \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>","provider_url":"https://hatena.blog","url":"https://randommemory.hatenablog.com/entry/2022/05/03/214817","author_url":"https://blog.hatena.ne.jp/derwind/","provider_name":"Hatena Blog","published":"2022-05-03 21:48:17","version":"1.0","categories":["quantum_computing"],"width":"100%","type":"rich","title":"<QT> P \u30b2\u30fc\u30c8","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","description":"$$ \\begin{align*} P(\\phi) = \\begin{bmatrix} 1 & 0 \\\\ 0 & e^{i \\phi} \\end{bmatrix} \\end{align*} $$\u306f Z-\u8ef8\u306e\u5468\u308a\u306e\u56de\u8ee2\u3092\u767a\u751f\u3055\u305b\u3001$\\ket{\\psi} = a \\ket{0} + b \\ket{1}$ \u306b\u4f5c\u7528\u3055\u305b\u308b\u3068\u3001$P(\\phi) \\ket{\\psi} = a \\ket{0} + b e^{i \\phi} \\ket{1}$ \u306e\u3088\u3046\u306b\u4f4d\u76f8\u3092\u5909\u5316\u3055\u305b\u308b\u3002 $I = P(0)$, $S = \\sqrt{Z} = P(\\frac{\\pi}{2})$, $T = \\sqrt[4]{Z} = P(\\fr\u2026","height":"190"}