Optimal estimation of two-qubit pure-state entanglement

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 6, 2000, Pages 062307-062301

  Acín, Antonio ^a   Tarrach, Rolf ^a   Vidal, Guifré ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TRANSPORT PROPERTIES; MATRIX ALGEBRA; PARAMETER ESTIMATION; POLARIZATION; VECTORS;

BLOCH VECTOR; ENTANGLEMENT ESTIMATION; QUANTUM MEASUREMENT;

QUANTUM THEORY;

EID: 4243855795     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
2. S. Massar and S. Popescu, Phys. Rev. Lett. 74, 1259 (1995).
3. R. Derka, V. Buzek, and A. K. Ekert, Phys. Rev. Lett. 80, 1571 (1998); e-print quant-ph/9707028.
4. J. I. Latorre, P. Pascual, and R. Tarrach, Phys. Rev. Lett. 81, 1351 (1998); e-print quant-ph/9803066.
5. A. Acín, J. I. Latorre, and P. Pascual, e-print quant-ph/9904056 [Phys. Rev. A (to be published)].
6. G. Vidal, J. I. Latorre, P. Pascual, and R. Tarrach, Phys. Rev. A 60, 126 (1999); e-print quant-ph/9812068.
7. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
8. H.-K. Lo and S. Popescu, e-print quant-ph/9707038.
9. M. A. Nielsen, Phys. Rev. Lett. 83, 436 (1999).
10. G. Vidal, Phys. Rev. Lett. 83, 1046 (1999).
11. D. Jonathan and M. B. Plenio, Phys. Rev. Lett. 83, 1455 (1999).
12. The problem of optimally estimating the entanglement of two-qubit pure states was recently analyzed by J. M. G. Sancho and S. F. Huelga, preprint, quant-ph/9910041. In their work they considered strategies for the N-copy case that measured only on one copy of the unknown state at a time. Their work and ours can be thus regarded as complementary.
13. M. J. W. Hall, Phys. Lett. A 242, 123 (1998); e-print quant-ph/9802052.
14. S. Kullback, Information Theory and Statistics (Wiley, New York, 1959).
15. A. Hobson, J. Stat. Phys. 1, 383 (1969).
16. R. Tarrach and G. Vidal, e-print quant-ph/9907098 [Phys. Rev. A (to be published)].
17. J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. 82, 4344 (1999); e-print quant-ph/9812075.
18. J. Kempe, Phys. Rev. A A60, 910 (1999).
19. k=b, i.e., F((x+x′)/2)≥[F(x) + F(x′)]/2 and F(0)≥F(x∈[-1,1]).