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Quantum random walks

Part of the Lecture Notes in Mathematics book series (LNM,volume 1396)

Abstract

After a short review of the notion of a quantum Markov chain, a particular class of such chains, generalizing in a natural way the usual random walks, is introduced. In Section (5) a limit theorem for quantum random walks is proved showing that the diffusion limit of the continuous coherent chain is an abelian extension of the Fock quantum Brownian motion on L 2(R+).

Keywords

  • Markov Chain
  • Compact Hausdorff Space
  • Markovian Operator
  • Identity Preserve
  • Natural Integer

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

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© 1989 Springer-Verlag

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Accardi, L., Watson, G.S. (1989). Quantum random walks. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083545

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  • DOI: https://doi.org/10.1007/BFb0083545

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51613-2

  • Online ISBN: 978-3-540-46713-7

  • eBook Packages: Springer Book Archive