Generalized qudit Choi maps

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M. A. Jafarizadeh,^1,2,3 M. Rezaee,^1,3 and S. Ahadpour^1,3
¹Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664, Iran
²Institute for Studies in Theoretical Physics and Mathematics, Tehran 19395-1795, Iran
³Research Institute for Fundamental Sciences, Tabriz 51664, Iran

Received 25 July 2006; published 27 October 2006

Followingthe linear programming prescription of Jafarizadeh et al. [Phys. Rev. A72, 062106 (2005)], the d [direct-product] d Bell diagonal entanglement witnesses areprovided. By using Jamiolkowski isomorphism, it is shown that thecorresponding positive maps are the generalized qudit Choi maps. Alsoby manipulating particular dd Bell diagonal separable states and constructingcorresponding bound entangled states, it is shown that the obtainedd [direct-product] d Bell states diagonal entanglement witnesses (consequently qudit Choi maps)are nondecomposable in a certain range of their parameters.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.042335
DOI:	10.1103/PhysRevA.74.042335
PACS:	03.67.Mn; 03.65.Ud; 03.65.Yz; 42.50.Dv 03.67.Mn Quantum entanglement production, characterization, and manipulation 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) 03.65.Yz Decoherence; open systems; quantum statistical methods 42.50.Dv Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements YEAR: 2006
KEYWORDS:	quantum entanglement, Bell theorem, bound states

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