Witnessed entanglement and the geometric measure of quantum discord

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 2, 2012, Pages

  Debarba, Tiago ^a   MacIel, Thiago O ^a   Vianna, Reinaldo O ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

BOUND ENTANGLED STATE; ENTANGLEMENT QUANTIFIERS; GEOMETRIC MEASURES; HILBERT-SCHMIDT NORM; QUANTUM DISCORDS; TRACE-NORMS; WERNER STATE; WITNESS OPERATORS;

GEOMETRY;

QUANTUM ENTANGLEMENT;

EID: 84865633483     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.024302     Document Type: Article

References (34)

1. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.865 81, 866 (2009).
2. C. H. Bennett, G. Brassard, C. Crepeau, R. Josza, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
3. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991).
4. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2881 69, 2881 (1992).
5. P. W. Shor, in Proceedings of the 35th Annual Symposium of Foundations of Computer Science (IEEE Press, Los Alamitos, California, 1994).
6. L. Henderson and V. Vedral, J. Phys. A 1361-6447 10.1088/0305-4470/34/35/ 315 34, 6899 (2001).
7. H. Ollivier and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.017901 88, 017901 (2001).
8. K. Modi, A. Brodutch, H. Cable, T. Paterek, and V. Vedral, arXiv: 1112.6238.
9. A. Datta, A. Shaji, and C. M. Caves, Phys. Rev. Lett 10.1103/PhysRevLett. 100.050502 100, 050502 (2008);
10. D. Cavalcanti, L. Aolita, S. Boixo, K. Modi, M. Piani, and A. Winter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.032324 83, 032324 (2011);
11. T. K. Chuan, J. Maillard, K. Modi, T. Paterek, M. Paternostro, and M. Piani (2012), arXiv: 1203.1268v2;
12. B. Dakić, Y. O. Lipp, X. Ma, M. Ringbauer, S. Kropatschek, S. Barz, T. Paterek, V. Vedral, A. Zeilinger, C. Brukner, and P. Walther, Nature Phys. online first (2012), doi: 10.1038/nphys2377.
13. B. Dakić, V. Vedral, and C. Brukner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.190502 105, 190502 (2010).
14. A. Ferraro, L. Aolita, D. Cavalcanti, F. M. Cucchietti, and A. Acín, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052318 81, 052318 (2010).
15. D. Girolami and G. Adesso, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.052110 84, 052110 (2011).
16. F. F. Fanchini, M. F. Cornelio, M. C. de Oliveira, and A. O. Caldeira, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.012313 84, 012313 (2011).
17. F. G. S. L. Brandão, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022310 72, 022310 (2005).
18. F. G. S. L. Brandão and R. O. Vianna, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.220503 93, 220503 (2004).
19. F. G. S. L. Brandão and R. O. Vianna, Int. J. Quan. Info. 0219-7499 10.1142/S0219749906001803 4, 331 (2006).
20. S. Hamieh, R. Kobes, and H. Zaraket, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052325 70, 052325 (2004).
21. J. Oppenheim, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.180402 89, 180402 (2002).
22. K. Modi, T. Paterek, W. Son, V. Vedral, and M. Williamson, Phys. Rev Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.080501 104, 080501 (2010).
23. B. Bellomo, G. L. Giorgi, F. Galve, R. L. Franco, G. Compagno, and R. Zambrini, Phys. Rev. A 1050-2947 10.1103/PhysRevA.85.032104 85, 032104 (2012).
24. S. Luo and S. Fu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82. 034302 82, 034302 (2010).
25. A. Brodutch and K. Modi, arXiv: 1108.3649v1.
26. I. Bengtsson and K. Zyczkowski, Geometry of Quantum States, (Cambridge University Press, Cambridge, 2006).
27. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
28. G. Vidal and B. Tarrach, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.141 59, 141 (1999).
29. Stephen Boyd and Lieven Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, 2004).
30. R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.4277 40, 4277 (1989).
31. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239 80, 5239 (1998).
32. P. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00416- 7 232, 333 (1997).
33. C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.5385 82, 5385 (1999).
34. F. Iemini, T. O. Maciel, T. Debarba, and R. O. Vianna, Quant. Info. Proc. 11, online first (2012), doi: 10.1007/s11128-012-0415-6.