Unitary equivalent classes of one-dimensional quantum walks |
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Authors: | Hiromichi Ohno |
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Affiliation: | 1.Department of Mathematics, Faculty of Engineering,Shinshu University,Nagano,Japan |
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Abstract: | This study investigates unitary equivalent classes of one-dimensional quantum walks. We prove that one-dimensional quantum walks are unitary equivalent to quantum walks of Ambainis type and that translation-invariant one-dimensional quantum walks are Szegedy walks. We also present a necessary and sufficient condition for a one-dimensional quantum walk to be a Szegedy walk. |
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