Genuine tripartite entangled states with a local hidden-variable model

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 3, 2006, Pages

  Tóth, Géza ^a,b   Acín, Antonio ^c  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^c ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; ELECTRON ENERGY LEVELS; HIGH ENERGY PHYSICS; MATHEMATICAL MODELS;

HIDDEN-VARIABLE MODEL; THREE-QUBIT QUANTUM STATES; WERNER STATES;

QUANTUM THEORY;

EID: 33749248219     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.030306     Document Type: Article

References (21)

1. J. S. Bell, Physics (Long Island City, N.Y.) PYCSAP 0554-128X 10.1103/PhysRev.47.777 1, 195 (1964).
2. R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.4277 40, 4277 (1989).
3. I. Pitowsky, Math. Program. MHPGA4 0025-5610 10.1007/BF01594946 50, 395 (1991).
4. J. Barrett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042302 65, 042302 (2002).
5. B. M. Terhal, A. C. Doherty, and D. Schwab, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.157903 90, 157903 (2003);
6. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022308 69, 022308 (2004).
7. B. F. Toner and D. Bacon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.187904 91, 187904 (2003);
8. N. J. Cerf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.220403 94, 220403 (2005).
9. Č. Brukner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.127901 92, 127901 (2004).
10. C. Bennett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.012307 63, 012307 (2000).
11. M. Bourennane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.107901 92, 107901 (2004);
12. H. Häffner, Nature (London) NATUAS 0028-0836 10.1038/nature04279 438, 643 (2005);
13. N. Kiesel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.210502 95, 210502 (2005);
14. P. Walther, Nature (London) NATUAS 0028-0836 10.1038/nature03347 434, 169 (2005).
15. Pure biseparable states can be created such that two groups of the parties never interact and they remain unentangled. A mixed state is called biseparable (not genuine multipartite entangled) if it is the mixture of biseparable pure states. See A. Acín, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.040401 87, 040401 (2001).
16. K. Nagata, M. Koashi, and N. Imoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.260401 89, 260401 (2002).
17. T. Eggeling and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.042111 63, 042111 (2001).
18. R. F. Werner, Lett. Math. Phys. LMPHDY 0377-9017 10.1007/BF00399761 17, 359 (1989).
19. For the extension of Werner states see also T. Eggeling, Ph.D. thesis, Technical University of Braunschweig, Germany, 2003;
20. T. Eggeling, R. F. Werner, and M. M. Wolf (unpublished).
21. G. Tóth and A. Acín, quant-ph/0512088.