Generalized qudit Choi maps

Abstract

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

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