Convergence theorems on multi-dimensional homogeneous quantum walks

DOI10.1007/S11128-021-03002-6OpenAlexW3135245171MaRDI QIDQ2687191

Hiroki Sako

Publication date: 1 March 2023

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09342

zbMATH Keywords

asymptotic behavioreigenvalue functionquantum walkconvergence theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Groups and semigroups of linear operators (47D03) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Space-homogeneous quantum walks on \(\mathbb{Z}\) from the viewpoint of complex analysis
• Perturbation theory for linear operators.
• A new type of limit theorems for the one-dimensional quantum random walk
• Quantum walks in higher dimensions

This page was built for publication: Convergence theorems on multi-dimensional homogeneous quantum walks