Generalized qudit Choi maps

Details Generalized qudit Choi maps Generalized qudit Choi maps

2006-07-24

arxiv.org/abs/quant-ph/0607164v1

Physics

Quantum Physics

22 pages

Scientific paper

10.1103/PhysRevA.74.042335

Following the linear programming prescription of Ref. \cite{PRA72}, the $d\otimes d$ 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 $d\otimes d$ Bell diagonal separable states and constructing corresponding bound entangled states, it is shown that thus obtained $d\otimes d$ BDEW's (consequently qudit Choi maps) are non-decomposable in certain range of their parameters.

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