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2020-01-01から1年間の記事一覧

Vespa mandarinia japonica (Japanese giant hornet) - オオスズメバチ

りかのおべんきょうでオオスズメバチを2ひきかい始めました。 どちらも女王で、とてもかわいいです。 たいせつにしたいとおもいます。I started to keep 2 Japanese giant hornets (Vespa mandarinia japonica), called "Osuzumebachi" in Japanese. They ar…

Is the conjugate of a dense and continuous embedding a dense and continuous one as well?

I make a note about the title because it took a hard time finding a proof. This topic relates to an abstract Wiener space in the Malliavin calculus.Proposition. Let be a real separable Banach space and be a real separable Hilbert space emb…

Solving Linear Equations via VQE (Variational Quantum Eigensolver)

In this article, we introduce how to solve simultaneous linear equations with NISQ, which is the abbreviation for Noisy Intermediate Scaled Quantum, from Xu et al. [1].We consider the following linear equation: \begin{align*} Ax=b, \tag{1}…

Decomposition of matrices with the Pauli matrices

りょうしじょうほうで出てきたので整理するよ~In this article, we introduce that any square matrix can be decomposed as the linear combination of the Pauli matrices.Denote by the set of all square matrices of order whose components value on …