Iterations of nonlinear entanglement witnesses

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 3, 2008, Pages

  Moroder, Tobias ^a,b   Gühne, Otfried ^c,d   Lütkenhaus, Norbert ^a,b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b UNIVERSITY OF WATERLOO   (Canada)

^c ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^d UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ENTANGLEMENT WITNESS; ENTANGLEMENT WITNESSES;

ITERATIVE METHODS;

EID: 53349173903     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.032326     Document Type: Article

References (40)

1. R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.4277 40, 4277 (1989).
2. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, e-print arXiv:quant-ph/0702225.
3. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
4. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
5. O. Rudolph, e-print arXiv:quant-ph/0202121.
6. K. Chen and L.-A. Wu, Quantum Inf. Comput. QICUAW 1533-7146 3, 193 (2003).
7. H. F. Hofmann and S. Takeuchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032103 68, 032103 (2003).
8. O. Gühne, P. Hyllus, O. Gittsovich, and J. Eisert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.130504 99, 130504 (2007).
9. J. Eisert, P. Hyllus, O. Gühne, and M. Curty, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062317 70, 062317 (2004).
10. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022308 69, 022308 (2004).
11. F. M. Spedalieri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76. 032318 76, 032318 (2007).
12. J. K. Korbicz and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022318 74, 022318 (2006).
13. J. Samsonowicz, M. Kus, and M. Lewenstein, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.022314 76, 022314 (2007).
14. R. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2726 84, 2726 (2000).
15. R. F. Werner and M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3658 86, 3658 (2001).
16. B. Terhal, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00401-1 271, 319 (2000).
17. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000).
18. O. Gühne, P. Hyllus, D. Bruß, A. Ekert, M. Lewenstein, C. Macchiavello, and A. Sanpera, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66. 062305 66, 062305 (2002).
19. M. Bourennane, M. Eibl, C. Kurtsiefer, S. Gaertner, H. Weinfurter, O. Gühne, P. Hyllus, D. Bruß, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087902 92, 087902 (2004).
20. C.-Y. Lu, X.-Q. Zhou, O. Gühne, W.-B. Gao, J. Zhang, Z.-S. Yuan, A. Goebel, T. Yang, and J.-W. Pan, Nat. Phys. ZZZZZZ 1745-2473 3, 91 (2007).
21. O. Gühne and N. Lütkenhaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.170502 96, 170502 (2006).
22. O. Gühne and N. Lütkenhaus, J. Phys.: Conf. Ser. JPCSDZ 1742-6588 10.1088/1742-6596/67/1/012004 67, 012004 (2007).
23. P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.052101 68, 052101 (2003).
24. J. de Pillis, Pac. J. Math. PJMAAI 0030-8730 23, 129 (1967).
25. A. Jamiołkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72)90011-0 3, 275 (1972).
26. M.-D. Choi, J. Serb. Chem. Soc. 38, 583 (1982).
27. E. Shchukin and W. Vogel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.230502 95, 230502 (2005).
28. J. Rigas, O. Gühne, and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012341 73, 012341 (2006).
29. A. Miranowicz, M. Piani, P. Horodecki, and R. Horodecki, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.24.000379 24, 379 (2007).
30. H. Häseler, T. Moroder, and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.032303 77, 032303 (2008).
31. T. Moroder, M. Keyl, and N. Lütkenhaus, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/41/27/275302 41, 275302 (2008).
32. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, England, 1985).
33. P. Horodecki and A. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.127902 89, 127902 (2002).
34. M. Keyl and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.052311 64, 052311 (2001).
35. G. Folland, A Course in Abstract Harmonic Analysis (CRC-Press, Boca Raton, 1995).
36. M. Horodecki and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4206 59, 4206 (1999).
37. M. Piani and C. E. Mora, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.012305 75, 012305 (2007).
38. M.-D. Choi, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/0024-3795(75) 90075-0 10, 285 (1975).
39. H. A. Carteret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 040502 94, 040502 (2005).
40. M. S. Byrd and N. Khaneja, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062322 68, 062322 (2003).