Entanglement cost under positive-partial-transpose-preserving operations

Physical Review Letters

Volumn 90, Issue 2, 2003, Pages

  Audenaert, K ^a   Plenio, M B ^a   Eisert, J ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PROBABILITY; THEOREM PROVING;

ENTANGLEMENT; ENTANGLEMENT MANIPULATION; GAUSSIAN STATES; POSITIVE PARTIAL TRANSPOSE; QUANTUM OPERATIONS; WERNER STATES;

QUANTUM THEORY;

EID: 0037449925     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. M. B. Plenio and V. Vedral, Contemp. Phys. 39, 431 (1998)
2. R. F. Werner, in Quantum Information-An Introduction to Basic Theoretical Concepts and Experiments, Springer Tracts in Modern Physics Vol. 173 (Springer, Heidelberg, 2001)
3. M. B. Plenio and V. Vitelli, Contemp. Phys. 42, 25 (2001).
4. H.-K. Lo and S. Popescu, e-print quant-ph/9707038
5. M. A. Nielsen, Phys. Rev. Lett. 83, 436 (1999)
6. G. Vidal, Phys. Rev. Lett. 83, 1046 (1999)
7. D. Jonathan and M. B. Plenio, Phys. Rev. Lett. 83, 1455 (1999)
8. D. Jonathan and M. B. Plenio, Phys. Rev. Lett. 83, 3566 (1999)
9. L. Hardy, Phys. Rev. A 60, 1912 (1999).
10. C. H. Bennett et al., Phys. Rev. A 53, 2046 (1996).
11. C. H. Bennett et al., Phys. Rev. A 56, 3824 (1996).
12. E. M. Rains, Phys. Rev. A 60, 173 (1999)
13. E. M. Rains, Phys. Rev. A 60, 179 (1999).
14. V. Vedral et al., Phys. Rev. Lett. 78, 2275 (1997)
15. V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998)
16. V. Vedral et al., Phys. Rev. A 56, 4452 (1997)
17. M. B. Plenio, S. Virmani, and P. Papadopoulos, J. Phys. A 33, L193 (2000)
18. M. B. Plenio and V. Vedral, J. Phys. A 34, 6997 (2001).
19. K. Audenaert et al., Phys. Rev. Lett. 87, 217902 (2001).
20. K. Audenaert et al., Phys. Rev. A 66, 032310 (2002).
21. G. Vidal and J. I. Cirac, Phys. Rev. Lett. 86, 5803 (2002).
22. M. Horodecki, A. Sen, and U. Sen, e-print quant-ph/0207031.
23. T. Eggeling et al., Phys. Rev. Lett. 87, 257902 (2001).
24. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002).
25. J. Eisert and M. B. Plenio, J. Mod. Opt. 46, 145 (1999).
26. J. Eisert, Ph.D. thesis, University of Potsdam, 2001.
27. E. M. Rains, IEEE Trans. Inf. Theory 47, 2921 (2001).
28. n) is the vector collecting the canonical coordinates of this system with n degrees of freedom and Σ is the symplectic matrix incorporating the canonical commutation relations. We follow the conventions in Refs. [17].
29. J. Eisert, S. Scheel, and M. B. Plenio, Phys. Rev. Lett. 89, 137903 (2002)
30. J. Eisert and M. B. Plenio, Phys. Rev. Lett. 89, 097901 (2002).