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Atomic Wehrl Entropy of a Single Qubit System

Abdel-Khalek, S.; Abdel-Hameed, H. F. and Abdel-Aty, Mahmoud LU (2011) In International Journal of Quantum Information 9(3). p.967-979
Abstract
We propose the use of atomic Wehrl entropy associated to the reduced atomic density operator as an entanglement indicator of bipartite systems. This is applied to a two-level system (one single harmonically trapped ion) by taking into account the linear center-of-mass-motional degree of freedom. Detailed analytical and explicit expressions are given, taking into account different configurations. The results show the important roles played by the laser phase and initial state setting in the evolution of the atomic Q-function, atomic Wehrl entropy and marginal atomic Q-function. Our procedure of using atomic Wehrl entropy may be applied to a system with Hilbert space of high dimension.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Trapped ion, marginal distribution, atomic Wehrl entropy
in
International Journal of Quantum Information
volume
9
issue
3
pages
967 - 979
publisher
World Scientific
external identifiers
  • wos:000291821700012
  • scopus:79959196591
ISSN
1793-6918
DOI
10.1142/S0219749911007538
language
English
LU publication?
yes
id
1efe76b0-178a-4690-a654-0f11f2a91601 (old id 2052605)
date added to LUP
2011-08-30 08:49:35
date last changed
2017-01-01 03:30:52
@article{1efe76b0-178a-4690-a654-0f11f2a91601,
  abstract     = {We propose the use of atomic Wehrl entropy associated to the reduced atomic density operator as an entanglement indicator of bipartite systems. This is applied to a two-level system (one single harmonically trapped ion) by taking into account the linear center-of-mass-motional degree of freedom. Detailed analytical and explicit expressions are given, taking into account different configurations. The results show the important roles played by the laser phase and initial state setting in the evolution of the atomic Q-function, atomic Wehrl entropy and marginal atomic Q-function. Our procedure of using atomic Wehrl entropy may be applied to a system with Hilbert space of high dimension.},
  author       = {Abdel-Khalek, S. and Abdel-Hameed, H. F. and Abdel-Aty, Mahmoud},
  issn         = {1793-6918},
  keyword      = {Trapped ion,marginal distribution,atomic Wehrl entropy},
  language     = {eng},
  number       = {3},
  pages        = {967--979},
  publisher    = {World Scientific},
  series       = {International Journal of Quantum Information},
  title        = {Atomic Wehrl Entropy of a Single Qubit System},
  url          = {http://dx.doi.org/10.1142/S0219749911007538},
  volume       = {9},
  year         = {2011},
}