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Quantum Simulation Quantum State Preparation Representation

Stationary measure for two-state space-inhomogeneous quantum walk in one dimension

arXiv

Authors: Hikari Kawai, Takashi Komatsu, Norio Konno

Year

2017

Paper ID

44645

Status

Preprint

Abstract Read

~2 min

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Abstract

We consider the two-state space-inhomogeneous coined quantum walk (QW) in one dimension. For a general setting, we obtain the stationary measure of the QW by solving the eigenvalue problem. As a corollary, stationary measures of the multi-defect model and space-homogeneous QW are derived. The former is a generalization of the previous works on one-defect model and the latter is a generalization of the result given by Konno and Takei (2015).

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We consider the two-state space-inhomogeneous coined quantum walk (QW) in one dimension.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.04040 [2] arXiv https://arxiv.org/abs/1707.04040 [3] Publisher https://arxiv.org/abs/1707.04040

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