Unitary equivalence classes of split-step quantum walks

2021/04/28 by Akihiro Narimatsu, Narimatsu, Akihiro, Hiromichi Ohno +3 · 1 citation
Computer Science · Engineering · #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata #Ferroelectric and Negative Capacitance Devices

paper · pdf · doi:10.48550/arxiv.2104.13529

Abstract

This study investigates the unitary equivalence of split-step quantum walks (SSQW). We consider a new class of quantum walks which includes all SSQWs. We show the explicit form of quantum walks in this class, and clarify their unitary equivalence classes. Unitary equivalence classes of Suzuki's SSQW are also given.

Cited by

• The bulk-edge correspondence for the split-step quantum walk on the one-dimensional integer lattice

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