{"blog_url":"https://randommemory.hatenablog.com/","author_name":"derwind","author_url":"https://blog.hatena.ne.jp/derwind/","height":"190","type":"rich","width":"100%","image_url":null,"provider_name":"Hatena Blog","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2022%2F01%2F29%2F021212\" title=\"Qiskit (29) \u2015 \u91cf\u5b50 Fourier \u5909\u63db - \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>","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","title":"Qiskit (29) \u2015 \u91cf\u5b50 Fourier \u5909\u63db","categories":["quantum_computing"],"version":"1.0","published":"2022-01-29 02:12:12","provider_url":"https://hatena.blog","description":"\u901a\u5e38\u306e Fourier \u5909\u63db\u306f\\begin{align*} \\hat{f}(y) = \\int f(x) e^{2\\pi i xy} dy \\end{align*}\u3068\u66f8\u3051\u308b\u306e\u3067\u3042\u3063\u305f\u3002\u3053\u3053\u3067\u306f\u66f8\u7c4d\u3068\u306e\u6574\u5408\u6027\u306e\u305f\u3081\u306b\u3001\u6307\u6570\u90e8\u306e $-1$ \u3092\u6d88\u3057\u3066\u3044\u308b\u3002\u3053\u308c\u3092\u5143\u306b\u3001\u96e2\u6563 Fourier \u5909\u63db*1\u3092\u66f8\u304f\u3068\\begin{align*} y_j = \\frac{1}{\\sqrt{N}} \\sum_{k=0}^{N-1} f(k) e^{2\\pi i \\frac{kj}{N}} \\end{align*}\u3068\u3044\u3046\u5f62\u306b\u306a\u308b\u3002$x_k := f(k)$ \u3068\u66f8\u304f\u3053\u3068\u306b\u3059\u308b\u3068\u3001\\begin{align*} y_j =\u2026","url":"https://randommemory.hatenablog.com/entry/2022/01/29/021212"}