Virtually Abelian quantum walks

DOI10.1088/1751-8121/50/3/035301zbMath1357.81132arXiv1511.03992OpenAlexW2260531483WikidataQ62038670 ScholiaQ62038670MaRDI QIDQ2959727

Marco Erba, Paolo Perinotti, Alessandro Tosini, Giacomo Mauro D'ariano

Publication date: 9 February 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03992

zbMATH Keywords

Cayley graphsquantum walksvirtually abelian groups

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Random walks on graphs (05C81) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (2)

Discrete-time quantum walk with memory on the Cayley graph of the dihedral group ⋮ Quantum walks simulating non-commutative geometry in the Landau problem

Cites Work

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• The staggered quantum walk model
• Random walk in random groups.
• Quantum field as a quantum cellular automaton: the Dirac free evolution in one dimension
• Quantum cellular automaton theory of light
• The quantum field as a quantum computer
• Isometric group actions on Hilbert spaces: growth of cocycles
• Quantum walks on Cayley graphs
• Propagating quantum walks: the origin of interference structures
• The renormalization group via statistical inference
• One-dimensional quantum walks
• Quantum walks on graphs

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