Separability criteria via wavelet transform on homogenous spaces and projective representations

• Authors: Mahdi Karamati , Mohammad Rezapour
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

separability criteria; homogeneous space; projective representation; wavelet transform

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 3
• Pages: 369-377

Dates

published

1 - 6 - 2010

online

24 - 4 - 2010

Contributors

author

Mahdi Karamati

author

Mohammad Rezapour

• Payame Noor University (PNU), Tabriz, 51746, Iran

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Identifiers

DOI

10.2478/s11534-009-0103-z