Letters in Mathematical Physics

, Volume 103, Issue 7, pp 765–775 | Cite as

Quantum Random Walk Approximation on Locally Compact Quantum Groups

Open Access


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.

Mathematics Subject Classification (2000)

Primary 46L53 81S25 Secondary 22A30 47L25 16W30 


quantum random walk quantum Lévy process noncommutative probability locally compact quantum group C*-bialgebra stochastic cocycle 


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© The Author(s) 2013

Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsLancaster UniversityLancasterUK
  2. 2.Institute of Mathematics of the Polish Academy of SciencesWarsawPoland

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