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Generalized qudit Choi maps

Quantum Physics 2009-11-13 v1

Abstract

Following the linear programming prescription of Ref. \cite{PRA72}, the ddd\otimes d Bell diagonal entanglement witnesses are provided. By using Jamiolkowski isomorphism, it is shown that the corresponding positive maps are the generalized qudit Choi maps. Also by manipulating particular ddd\otimes d Bell diagonal separable states and constructing corresponding bound entangled states, it is shown that thus obtained ddd\otimes d BDEW's (consequently qudit Choi maps) are non-decomposable in certain range of their parameters.

Cite

@article{arxiv.quant-ph/0607164,
  title  = {Generalized qudit Choi maps},
  author = {M. A. Jafarizadeh and M. Rezaeen and S. Ahadpour},
  journal= {arXiv preprint arXiv:quant-ph/0607164},
  year   = {2009}
}

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22 pages