Unitary equivalent classes of one-dimensional quantum walks II

Abstract

This study investigated the unitary equivalent classes of one-dimensional quantum walks. We determined the unitary equivalent classes of one-dimensional quantum walks, two-phase quantum walks with one defect, complete two-phase quantum walks, one-dimensional quantum walks with one defect and translation-invariant one-dimensional quantum walks. The unitary equivalent classes of one-dimensional quantum walks with initial states were also considered.

References in corpus (4)

• Exploring Topological Phases With Quantum Walks
• Relation between two-phase quantum walks and the topological invariant
• Spectral mapping theorem of an abstract quantum walk
• Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality

Cited by in corpus (1)

• A note on the spectral mapping theorem of quantum walk models