Probability Distributions and Weak Limit Theorems of Quaternionic Quantum Walks in One Dimension

DOI10.4036/iis.2018.S.03zbMath1481.60058arXiv1710.01482OpenAlexW2964104879MaRDI QIDQ5135243

Kei Saito

Publication date: 19 November 2020

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01482

zbMATH Keywords

probability distributionquantum walksweak limit theoremquaternionic quantum walks

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Quantum computation (81P68) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Quantum stochastic calculus (81S25)

Cites Work

• Quaternionic quantum walks
• Quantum random walks in one dimension
• A new type of limit theorems for the one-dimensional quantum random walk

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