Localization in quantum walks with periodically arranged coin matrices

DOI10.1142/S0219749922500137OpenAlexW3216426318WikidataQ114072376 ScholiaQ114072376MaRDI QIDQ5868360

Chusei Kiumi

Publication date: 20 September 2022

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15131

zbMATH Keywords

eigenvaluelocalizationquantum walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generator of an abstract quantum walk
• The CGMV method for quantum walks
• The stationary measure of a space-inhomogeneous three-state quantum walk on the line
• Quantum random walks in one dimension
• Eigenvalues of two-phase quantum walks with one defect in one dimension
• Universal Computation by Multiparticle Quantum Walk
• Relation between two-phase quantum walks and the topological invariant
• One-dimensional quantum walks with a position-dependent coin
• One-dimensional quantum walks