Generalized qudit Choi maps
M. A. Jafarizadeh, M. Rezaee, Sodeif Ahadpour · Physical Review A · 2006
Following the linear programming prescription of Jafarizadeh et al. [Phys. Rev. A 72, 062106 (2005)], the $d\ensuremath{\bigotimes}d$ 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 $d\ensuremath{\bigotimes}d$ Bell diagonal separable states and constructing corresponding bound entangled states, it is shown that the obtained $d\ensuremath{\bigotimes}d$ Bell states diagonal entanglement witnesses (consequently qudit Choi maps) are nondecomposable in a certain range of their parameters.