Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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Parameterization of Translation-Invariant Two-Dimensional Two-State Quantum Walks

Hiromichi Ohno

pp. 737-747

Abstract

This study investigates unitary equivalence classes of translation-invariant two-dimensional two-state quantum walks. We show that unitary equivalence classes of such quantum walks are essentially parameterized by two real parameters.