International Journal of Theoretical Physics, ( ISI ), Volume (49), No (2), Year (2010-2) , Pages (402-412)

Title : ( Parametrization of Projector-Based Witnesses for Bipartite Systems )

Authors: Seyed Javad Akhtarshenas , Azam Kheirollahi ,

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Entanglement witnesses are nonpositive Hermitian operators which can detect the presence of entanglement. In this paper, we provide a general parametrization for orthonormal basis of Cn and use it to construct projector-based witness operators for entanglement detection in the vicinity of pure bipartite states. Our method to parameterize entanglement witnesses is operationally simple and could be used for doing symbolic and numerical calculations. As an example we use the method for detecting entanglement between an atom and the single mode of quantized field, described by the Jaynes-Cummings model. We also compare the detection of witnesses with the negativity of the state, and show that in the vicinity of pure stats such constructed witnesses able to detect entanglement of the state.

Keywords

, General orthonormal basis, Entanglement witness, Negativity, Jaynes-Cummings
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@article{paperid:1039130,
author = {Akhtarshenas, Seyed Javad and Azam Kheirollahi},
title = {Parametrization of Projector-Based Witnesses for Bipartite Systems},
journal = {International Journal of Theoretical Physics},
year = {2010},
volume = {49},
number = {2},
month = {February},
issn = {0020-7748},
pages = {402--412},
numpages = {10},
keywords = {General orthonormal basis; Entanglement witness; Negativity; Jaynes-Cummings model},
}

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%0 Journal Article
%T Parametrization of Projector-Based Witnesses for Bipartite Systems
%A Akhtarshenas, Seyed Javad
%A Azam Kheirollahi
%J International Journal of Theoretical Physics
%@ 0020-7748
%D 2010

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