Bound entangled states violate a nonsymmetric local uncertainty relation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 3, 2003, Pages

  Hofmann, Holger F ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; MATHEMATICAL OPERATORS; NUMERICAL ANALYSIS; OPTIMIZATION; STATISTICAL METHODS; VECTORS;

BLOCH VECTOR; ENTANGLEMENT;

QUANTUM THEORY;

EID: 0242442484     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. J.S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
2. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
3. C.H. Bennett and S.J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
4. C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
5. C.H. Bennett, D.P. Di Vincenzo, J.A. Smolin, and W.K. Wootters, Phys. Rev. A 54, 3824 (1996).
6. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
7. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
8. P. Horodecki, Phys. Lett. A 232, 333 (1997).
9. M. Lewenstein, B. Kraus, J.I. Cirac, and P. Horodecki, Phys. Rev. A 62, 052310 (2000).
10. O. Gühne, P. Hyllus, D. Bruß, A. Ekert, M. Lewenstein, C. Macchiavello, and A. Sanpera, Phys. Rev. A 66, 062305 (2002).
11. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998).
12. P. Horodecki and M. Lewenstein, Phys. Rev. Lett. 85, 2657 (2000).
13. H.F. Hofmann and S. Takeuchi, Phys. Rev. A 68, 032103 (2003).
14. For a compact introduction of generating operators for quantum statistics, see G. Mahler and V.A. Weberruß, Quantum Networks (Springer, Berlin, 1995), p. 44.
15. N. Buzek and M. Hillery, Phys. Rev. A 54, 1844 (1996).
16. N. Gisin and S. Massar, Phys. Rev. Lett. 79, 2153 (1997).
17. V. Buzek, M. Hillery, and R.F. Werner, Phys. Rev. A 60, R2626 (1999).