Quantum nonlocality and partial transposition for continuous-variable systems

Physical Review Letters

Volumn 101, Issue 4, 2008, Pages

  Salles, Alejo ^a,b   Cavalcanti, Daniel ^c   Acín, Antonio ^c,d  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b UNIVERSITY OF FREIBURG   (Germany)

^c ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

^d INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY NUMBERS; BELL INEQUALITIES; BOUND ENTANGLEMENT; NON-LOCALITY; PARTIAL TRANSPOSITION; QUADRATURE MEASUREMENTS; QUANTUM NONLOCALITY; QUANTUM STATES; VARIABLE SYSTEMS;

THREE TERM CONTROL SYSTEMS;

EID: 48849112916     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.040404     Document Type: Article

References (31)

1. A. Einstein, E. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935). PHRVAO 0031-899X 10.1103/PhysRev.47.777
2. E. Schrödinger, Naturwissenschaften NATWAY 0028-1042 23, 807 (1935). 10.1007/BF01491891
3. J.S. Bell, Physics (Long Island City, N.Y.) PYCSAP 0554-128X 1, 195 (1964).
4. N. Gisin, arXiv:quant-ph/0702021v2.
5. R.F. Werner, Phys. Rev. A 40, 4277 (1989); PLRAAN 1050-2947 10.1103/PhysRevA.40.4277
6. G. Tóth and A. Acín, Phys. Rev. A 74, 030306(R) (2006); PLRAAN 1050-2947 10.1103/PhysRevA.74.030306
7. M.L. Almeida, S. Pironio, J. Barrett, G. Tóth, and A. Acín, Phys. Rev. Lett. 99, 040403 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99. 040403
8. S. Popescu, Phys. Rev. Lett. 74, 2619 (1995); PRLTAO 0031-9007 10.1103/PhysRevLett.74.2619
9. see also N. Gisin, Phys. Lett. A 210, 151 (1996). PYLAAG 0375-9601 10.1016/S0375-9601(96)80001-6
10. L. Masanes, Y.-C. Liang, and A.C. Doherty, Phys. Rev. Lett. 100, 090403 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.090403
11. A. Peres, Found. Phys. 29, 589 (1999). FNDPA4 0015-9018 10.1023/A:1018816310000
12. A. Peres, Phys. Rev. Lett. 77, 1413 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413
13. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996). PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2
14. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.5239
15. Note, however, that secure key distillation from bound entangled states is possible, see K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim, Phys. Rev. Lett. 94, 160502 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94. 160502
16. R.F. Werner and M.M. Wolf, Phys. Rev. A 64, 032112 (2001). PLRAAN 1050-2947 10.1103/PhysRevA.64.032112
17. A related, and perhaps more physical question is whether the violation of a Bell inequality implies entanglement distillability. This connection has also been proven in the (n,2,2) scenario for correlation Bell inequalities, see L. Masanes, Phys. Rev. Lett. 97, 050503 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.050503
18. A. Acín, V. Scarani, and M.M. Wolf, Phys. Rev. A 66, 042323 (2002); PLRAAN 1050-2947 10.1103/PhysRevA.66.042323
19. A. Acín, Phys. Rev. Lett. 88, 027901 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.88.027901
20. H. Nha and H.J. Carmichael, Phys. Rev. Lett. 93, 020401 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.020401
21. R. García-Patrón, Phys. Rev. Lett. 93, 130409 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.130409
22. R. García-Patrón, J. Fiurásěk, N.J. Cerf, Phys. Rev. A PLRAAN 1050-2947 71, 022105 (2005). 10.1103/PhysRevA.71.022105
23. There exist several works studying the violation of "standard" Bell inequalities, that is, with a finite number of outcomes, in CV systems. Here, we refer to inequalities with a continuous-variable flavor, in the sense of an arbitrary number of outcomes. An example of this type of inequalities could be the entropic inequality given in N.J. Cerf and C. Adami, Phys. Rev. A 55, 3371 (1997). PLRAAN 1050-2947 10.1103/PhysRevA.55.3371
24. E. Shchukin and W. Vogel, Phys. Rev. Lett. 95, 230502 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.230502
25. A. Miranowicz and M. Piani, Phys. Rev. Lett. 97, 058901 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.058901
26. E. Shchukin and W. Vogel, Phys. Rev. A 74, 030302(R) (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.030302
27. E.G. Cavalcanti, C.J. Foster, M.D. Reid, and P.D. Drummond, Phys. Rev. Lett. 99, 210405 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.210405
28. N.D. Mermin, Phys. Rev. Lett. 65, 1838 (1990); PRLTAO 0031-9007 10.1103/PhysRevLett.65.1838
29. M. Ardehali, Phys. Rev. A 46, 5375 (1992); PLRAAN 1050-2947 10.1103/PhysRevA.46.5375
30. A.V. Belinskii and D.N. Klyshko, Phys. Usp. 36, 653 (1993). PHUSEY 1063-7869 10.1070/PU1993v036n08ABEH002299
31. E. Shchukin and W. Vogel, arXiv:0803.0913v1.