On probability polynomials of 1D quantum walk

DOI10.1007/s11128-010-0194-xzbMath1217.81020OpenAlexW2046929600MaRDI QIDQ548225

Matthew S. Heller, Mark W. Coffey

Publication date: 28 June 2011

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

Full work available at URL: https://doi.org/10.1007/s11128-010-0194-x

zbMATH Keywords

Gauss hypergeometric functionvarianceshift operatorquantum walkcoin operatorprobability polynomial

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Classical hypergeometric functions, ({}_2F_1) (33C05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Cites Work

• From quantum cellular automata to quantum lattice gases
• A new type of limit theorems for the one-dimensional quantum random walk
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