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arXiv · 1801.02779

Quantum walks with an anisotropic coin II: scattering theory

S. Richard·A. Suzuki·R. Tiedra de Aldecoa
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Abstract

We perform the scattering analysis of the evolution operator of quantum walks with an anisotropic coin, and we prove a weak limit theorem for their asymptotic velocity. The quantum walks that we consider include one-defect models, two-phase quantum walks, and topological phase quantum walks as special cases. Our analysis is based on an abstract framework for the scattering theory of unitary operators in a two-Hilbert spaces setting, which is of independent interest.

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S. Richard, A. Suzuki, R. Tiedra de Aldecoa. 2018-01-09. Quantum walks with an anisotropic coin II: scattering theory. https://doi.org/10.1007/s11005-018-1100-1

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