Stationary measures for the three-state Grover walk with one defect in one dimension

Abstract

We obtain stationary measures for the one-dimensional three-state Grover walk with one defect by solving the corresponding eigenvalue problem. We clarify a relation between stationary and limit measures of the walk.

arXiv comment11 pages

References in corpus (4)

• The stationary measure of a space-inhomogeneous quantum walk on the line
• Relation between two-phase quantum walks and the topological invariant
• A one-dimensional Hadamard walk with one defect
• The stationary measure for diagonal quantum walk with one defect

Cited by in corpus (3)

• Stationary measure for two-state space-inhomogeneous quantum walk in one dimension
• Stationary measures of three-state quantum walks on the one-dimensional lattice
• Stationary amplitudes of quantum walks on the higher-dimensional integer lattice