Separability of mixed quantum states: Linear contractions and permutation criteria

Open Systems and Information Dynamics

Volumn 13, Issue 1, 2006, Pages 103-111

  Horodecki, Michał ^a   Horodecki, Paweł ^b   Horodecki, Ryszard ^a  

^a UNIVERSITY OF GDA SK   (Poland)

^b GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644751213     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11080-006-7271-8     Document Type: Article

References (25)

1. R. Werner, Phys. Rev. A 40, 4277 (1989).
2. G. Alber, T. Beth, M. Horodecki, P. Horodecki, R. Horodecki, M. Rötteler, H. Weinfurter, R. Werner, and A. Zeilinger, Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, Springer, 2001.
3. D. Bruss, J. I. Cirac, P. Horodecki, F. Hulpke, B. Kraus, M. Lewenstein, and A. Sanpera, J. Mod. Opt. 49, 1399 (2002), quant-ph/0110081.
4. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
5. O. Rudolph, quant-ph/0202121; O. Rudolph, Phys. Rev. A 67, 032312 (2003).
6. K. Chen, L.-A. Wu, and L. Yang, Quantum Inf. Comp. 3, 193 (2003), quant-ph/0205017.
7. P. Horodecki and M. Lewenstein, Phys. Rev. Lett 85, 2657 (2000), quant-ph/0001035.
8. D. Bruss and A. Peres, Phys. Rev. A 61, 30301(R) (2000), quant-ph/9911056.
9. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996), quant-ph/9605038.
10. C. J. Oxenrider and R. D. Hill, Lin. Alg. Appl. 69, 205 (1985).
11. D. A. Yopp and R. D. Hill, Lin. Alg. Appl. 312, 1 (2000).
12. K. Życzkowski, preprint 2001, (unpublished).
13. K. Życzkowski and I. Bengtsson, Open Sys. Information Dyn. 11, 3 (2004), quant-ph/0401119.
14. R. F. Werner and A. S. Holevo, quant-ph/9912067.
15. B. M. Terhal, Phys. Lett. A. 271, 319 (2000), quant-ph/9911057.
16. P. Horodecki, in: Proceedings of NATO ARW: "Decoherence and its Implications in Quantum Computation and Information Transfer", T. Gonis and P. E. A. Turchi, eds., IOS press, 2001, Series III - Comp. and Sci. Sys., p. 299.
17. A. Jamiołkowski, Rep. Math. Phys. 3, 275 (1972).
18. N. Gisin, Phys. Lett. A 210, 151 (1996).
19. C. H. Bennett, H. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996), quant-ph/9511030.
20. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 283, 1 (2001), quant-ph/0006071.
21. C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, Phys. Rev. Lett. 53, 5385 (1999), quant-ph/9808030.
22. P. Horodecki, Phys. Lett. A 232, 333 (1997).
23. H. Fan, quant-ph/0210168.
24. K. Zyczkowski and I. Bengtsson, Open Sys. Information Dyn. 12, 331 (2005), quant-ph/0503129.
25. L. Clarisse and P. Wocjan, quant-ph/0504160.