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On sums ofq-independentSU q (2) quantum variables

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Abstract

A representation-free approach to theq-analog of the quantum central limit theorem for

is presented. It is shown that for certain functionals

one can derive a version of a quantum central limit theorem (qclt) with\(\sqrt {\left[ N \right]} \) as a scaling parameter, which may be viewed as aq-analog of qclt.

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Authors and Affiliations

  1. Hugo Steinhaus Center for Stochastic Methods, Instytut Matematyki, Politechnika Wrocławska, PL-50-370, Wrocław, Poland

    Romuald Lenczewski

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  1. Romuald Lenczewski
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Communicated by H. Araki

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Lenczewski, R. On sums ofq-independentSU q (2) quantum variables. Commun.Math. Phys. 154, 127–134 (1993). https://doi.org/10.1007/BF02096836

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  • DOI: https://doi.org/10.1007/BF02096836

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