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Separability criteria via wavelet transform on homogenous spaces and projective representations

  • Research Article
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Central European Journal of Physics

Abstract

The intimate connection between the Banach space wavelet reconstruction method for each unitary representation of a given group and homogenous space, and the quantum entanglement description using group theory were both studied in our previous articles. Here, we present a universal description of quantum entanglement using group theory and non-commutative characteristic functions for homogenous space and projective representation of compact groups on Banach spaces for some well known examples, such as: Moyal representation for a spin; Dihedral and Permutation groups.

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Author information

Authors and Affiliations

  1. Department of Physics and Astrophysics, Faculty of Physics, University of Tabriz, Tabriz, 51664, Iran

    Mahdi R. Karamati

  2. Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka, 577-8502, Japan

    Mahdi R. Karamati

  3. Payame Noor University (PNU), Tabriz, 51746, Iran

    Mohammad R. Rezapour

Authors
  1. Mahdi R. Karamati
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  2. Mohammad R. Rezapour
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Correspondence to Mahdi R. Karamati.

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Karamati, M.R., Rezapour, M.R. Separability criteria via wavelet transform on homogenous spaces and projective representations. centr.eur.j.phys. 8, 369–377 (2010). https://doi.org/10.2478/s11534-009-0103-z

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  • DOI: https://doi.org/10.2478/s11534-009-0103-z

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