Quantum Random Walk Approximation on Locally Compact Quantum Groups

A natural scheme is established for the approximation of quantum Lévy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context of discrete approximations of completely positive quantum stochastic convolution cocycles on C *-bialgebras.

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Bibliographic Details
Published in:Letters in mathematical physics 2013-07, Vol.103 (7), p.765-775
Main Authors: Lindsay, J. Martin, Skalski, Adam G.
Format: Article
Language:English
Subjects:
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary:A natural scheme is established for the approximation of quantum Lévy processes on locally compact quantum groups by quantum random walks. We work in the somewhat broader context of discrete approximations of completely positive quantum stochastic convolution cocycles on C *-bialgebras.
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-013-0613-x