One-parameter family of indecomposable optimal entanglement witnesses arising from generalized Choi maps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 2, 2011, Pages

  Ha, Kil Chan ^a   Kye, Seung Hyeok ^b  

^a Sejong University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CHOI MAP; ENTANGLEMENT WITNESS; ONE PARAMETER FAMILY; OPTIMAL ENTANGLEMENT WITNESS;

OPTIMIZATION;

EID: 80052304193     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.024302     Document Type: Article

References (19)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
3. B. M. Terhal, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00401- 1 271, 319 (2000).
4. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000). (Pubitemid 32023274)
5. M.-D. Choi, Linear Algebra Appl. LAAPAW 0024-3795 10.1016/0024-3795(75) 90075-0 10, 285 (1975);
6. M.-D. Choi, Linear Algebra Appl. LAAPAW 0024-3795 10.1016/0024-3795(75) 90058-0 12, 95 (1975).
7. A. Jamiołkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72)90011-0 3, 275 (1972).
8. M. Lewenstein, B. Kraus, P. Horodecki, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.044304 63, 044304 (2001). (Pubitemid 33722149)
9. K.-C. Ha and S.-H. Kye, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.04.008 325, 315 (2004).
10. J. K. Korbicz, M. L. Almeida, J. Bae, M. Lewenstein, and A. Acín, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.062105 78, 062105 (2008).
11. M.-D. Choi and T.-Y. Lam, Math. Ann. MAANA3 0025-5831 10.1007/BF01360024 231, 1 (1977)
12. S.-H. Kye, in Elementary Operators & Applications, Proceedings of the International Workshop, Blaubeuren, 1991, edited by, M. Mathieu, (World Scientific, Singapore, 1992), p. 205.
13. H. Osaka, Publ. Res. Inst. Math. Sci. MAANA3 0034-5318 10.2977/prims/1195167934 28, 747 (1992).
14. R. Sengupta and Arvind, e-print arXiv: 1106.4279.
15. D. Chrušciński, J. Pytel, and G. Sarbicki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.062314 80, 062314 (2009).
16. D. Chrušciński and J. Pytel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.052310 82, 052310 (2010).
17. D. Chrušciński and J. Pytel, J. Phys. A PLRAAN 1751-8113 10.1088/1751-8113/44/16/165304 44, 165304 (2011).
18. D. Chrušciński and F. A. Wudarski, e-print axXiv: 1105.4821 (accepted to Open Sys. Information Dyn.).
19. S. J. Cho, S.-H. Kye, and S. G. Lee, Linear Algebra Its Appl. LAAPAW 0024-3795 10.1016/0024-3795(92)90260-H 171, 213 (1992).