Necessary and sufficient conditions for bipartite entanglement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 2, 2009, Pages

  Sperling, J ^a   Vogel, W ^a  

^a UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HILBERT SPACES; QUANTUM OPTICS; TRAJECTORIES;

ANALYTICAL SOLUTIONS; BIPARTITE ENTANGLEMENTS; BOUND ENTANGLED STATE; EIGENVALUE PROBLEMS; HERMITIAN OPERATORS; NUMERICAL IMPLEMENTATIONS; OPTIMIZATION PROCEDURES; POSITIVE PARTIAL TRANSPOSITIONS; PROJECTION OPERATORS; SPECIAL CLASS; SUFFICIENT CONDITIONS;

HERMETIC DEVICES;

EID: 62149152440     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.022318     Document Type: Article

References (20)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
2. A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991). 10.1103/PhysRevLett.67.661
3. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992). 10.1103/PhysRevLett.69.2881
4. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993). 10.1103/PhysRevLett.70.1895
5. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996). 10.1016/S0375-9601(96)00706-2
6. A. Peres, Phys. Rev. Lett. 77, 1413 (1996). 10.1103/PhysRevLett.77.1413
7. L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 84, 2722 (2000). 10.1103/PhysRevLett.84.2722
8. R. Simon, Phys. Rev. Lett. 84, 2726 (2000). 10.1103/PhysRevLett.84.2726
9. E. Shchukin and W. Vogel, Phys. Rev. Lett. 95, 230502 (2005); 10.1103/PhysRevLett.95.230502
10. A. Miranowicz and M. Piani, Phys. Rev. Lett. 97, 058901 (2006). 10.1103/PhysRevLett.97.058901
11. A. Miranowicz, M. Piani, P. Horodecki, and R. Horodecki, e-print arXiv:quant-ph/0605001.
12. A. Kossakowski, e-print arXiv:quant-ph/0307132.
13. M.-D. Choi, Proc. Symp. Pure Math. 38, 583 (1982).
14. H.-P. Breuer, Phys. Rev. Lett. 97, 080501 (2006). 10.1103/PhysRevLett.97. 080501
15. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A 62, 052310 (2000). 10.1103/PhysRevA.62.052310
16. P. Horodecki, Phys. Rev. A 68, 052101 (2003). 10.1103/PhysRevA.68.052101
17. P. Hyllus and J. Eisert, New J. Phys. 8, 51 (2006). 10.1088/1367-2630/8/ 4/051
18. O. Gühne and N. Lütkenhaus, Phys. Rev. Lett. 96, 170502 (2006). 10.1103/PhysRevLett.96.170502
19. G. Tóth, Phys. Rev. A 71, 010301 (R) (2005). 10.1103/PhysRevA.71. 010301
20. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998). 10.1103/PhysRevLett.80.5239