Characterization of combinatorially independent permutation separability criteria

Open Systems and Information Dynamics

Volumn 12, Issue 4, 2005, Pages 331-345

  Wocjan, Pawel ^a   Horodecki, Michal ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF GDA SK   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844601101     PISSN: 12301612     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11080-005-4483-2     Document Type: Article

References (17)

1. 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.
2. D. Bruss, J. I. Cirac, P. Horodecki, F. Hulpke, B. Kraus, M. Lewenstein, and A. Sanpera, Reflections upon separabiiity and distillability, J. Mod. Opt. 49, 1399 (2002), quant-ph/0110081.
3. P. Badziag, P. Deuar, M. Horodecki, P. Horodecki, and R. Horodecki. Concurrence in arbitrary dimensions, J. Mod. Opt. 49, 1289 (2002). quant-ph/0107147.
4. K. Chen and Ling-An Wu, The generalized partial transposition criterion for separability of multipartite quantum states, Phys. Lett. A 306, 14 (2002), quant-ph/0208058.
5. K. Chen, Ling-An Wu, and Li Yang. A matrix realignment method for recognizing entanglement, quant-ph/0205017, 2003.
6. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Detecting multipartite entanglement, quant-ph/0407143, 2004.
7. H. Fan, A note on separability criteria for multipartite state, quant-ph/0210168, 2002.
8. O. Guehne and M. Lewenstein, Separability criteria from uncertainty relations, AIP Conf. Proc. 734, 230 (2004). quant-ph/0409140.
9. P. Horodecki and R. Horodecki, Quantum redundancies and local realism, Phys. Lett. A 194, 147 (1994).
10. M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed states: Necessary and sufficient conditions, Phys. Lett. A 223, 1 (1996). quant-ph/9605038.
11. M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed quantum states: linear contractions approach, quant-ph/0206008, 2002.
12. F. Mintert, M. Kuś, and A. Buchleitner, Concurrence of mixed bipartite quantum states in arbitrary dimensions, Phys. Rev. Lett. 92, 167902 (2004). quant-ph/0403063.
13. A. Peres, Separability criterion for density matrices, Phys. Rev. Lett. 77, 1413 (1996).
14. First volume of Quantum Information & Computation, 2001.
15. O. Rudolph, Further results on the cross norm criterion for separability, quant-ph/0202121, 2002.
16. R. Werner, Quantum states with Einstein-Rosen-Podolsky correlations admitting a hidden-variable model, Phys. Rev. A 40, 4277 (1989).
17. K. Życzkowski and I. Bengtsson, On duality between quantum maps and quantum states, Open Sys. Information Dyn. 11, 3 (2004), quant-ph/0401119.