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arxiv: quant-ph/0607164 · v1 · submitted 2006-07-24 · 🪐 quant-ph

Generalized qudit Choi maps

classification 🪐 quant-ph
keywords mapschoiotimesquditbellcorrespondingdiagonalgeneralized
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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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