Bell-state diagonal-entanglement witnesses
- Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz 51664 (Iran, Islamic Republic of)
It has been shown that finding generic Bell-state diagonal-entanglement witnesses for d{sub 1}xd{sub 2}x{center_dot}{center_dot}{center_dot}xd{sub n} systems reduces to linear programming if the feasible region is a polygon by itself, and it can be solved approximately via linear programming if the feasible region is encircled by a polygon. Since solving linear programming for the generic case is difficult, multiqubit, 2xN and 3x3 systems for the special case of generic Bell-state diagonal-entanglement witnesses for some particular choice of parameters have been considered. We obtain the optimal nondecomposable entanglement witness for a 3x3 system for some particular choice of parameters. By proving the optimality of the well-known reduction map and combining it with the optimal and nondecomposable 3x3 Bell-state diagonal-entanglement witnesses (named critical entanglement witnesses) the family of optimal and nondecomposable 3x3 Bell-state diagonal-entanglement witnesses has also been obtained. Using the approximately critical entanglement witnesses, some 3x3 bound entangled states are so detected. So the well-known Choi map as a particular case of the positive map in connection with this witness via Jamiolkowski isomorphism has been considered.
- OSTI ID:
- 20786257
- Journal Information:
- Physical Review. A, Vol. 72, Issue 6; Other Information: DOI: 10.1103/PhysRevA.72.062106; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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