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Symmetry of distribution for the one-dimensional Hadamard walk

Norio Konno·Takao Namiki·Takahiro Soshi
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Abstract

In this paper we study a one-dimensional quantum random walk with the Hadamard transformation which is often called the Hadamard walk. We construct the Hadamard walk using a transition matrix on probability amplitude and give some results on symmetry of probability distributions for the Hadamard walk.

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Norio Konno, Takao Namiki, Takahiro Soshi. 2004-03-30. Symmetry of distribution for the one-dimensional Hadamard walk. https://arxiv.org/abs/quant-ph/0205065

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