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Approximation of quantum Lévy processes by quantum random walks

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Abstract

Every quantum Lévy process with a bounded stochastic generator is shown to arise as a strong limit of a family of suitably scaled quantum random walks.

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Authors and Affiliations

  1. Département de Mathématiques de Besançon, Université de Franche-Comté 16, route de Gray, 25 030, Besancçon cedex, France

    Uwe Franz

  2. Graduate School of Information Sciences, Tohoku University, Sendai, 980-8579, Japan

    Uwe Franz

  3. Department of Mathematics, University of Łódź, ul. Banacha 22, 90-238, Łódź, Poland

    Adam Skalski

  4. Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, UK

    Adam Skalski

Authors
  1. Uwe Franz
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  2. Adam Skalski
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Correspondence to Uwe Franz.

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Franz, U., Skalski, A. Approximation of quantum Lévy processes by quantum random walks. Proc Math Sci 118, 281–288 (2008). https://doi.org/10.1007/s12044-008-0020-x

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  • DOI: https://doi.org/10.1007/s12044-008-0020-x

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