On alternating quantum walks

Jenia Rousseva and Yevgeniy Kovchegov

Physica A: Statistical Mechanics and its Applications, 2017, vol. 470, issue C, 309-320

Abstract: We study an inhomogeneous quantum walk on a line that evolves according to alternating coins, each a rotation matrix. For the quantum walk with the coin alternating between clockwise and counterclockwise rotations by the same angle, we derive a closed form solution for the propagation of probabilities, and provide its asymptotic approximation via the method of stationary phase. Finally, we observe that for a π4 angle, this alternating rotation walk will replicate the renown Hadamard walk.

Keywords: Quantum walk (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:470:y:2017:i:c:p:309-320

DOI: 10.1016/j.physa.2016.11.138

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