Finding a maximally correlated state: Simultaneous Schmidt decomposition of bipartite pure states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 3, 2004, Pages

  Hiroshima, Tohya ^a   Hayashi, Masahito ^a  

^a JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONTINUUM MECHANICS; INTEGER PROGRAMMING; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; PROBLEM SOLVING; QUANTUM THEORY; SET THEORY; THEOREM PROVING; VECTORS;

BELL STATES; HILBERT SPACE; NEUMANN ENTROPY; SCHMIDT DECOMPOSITION;

CORRELATION METHODS;

EID: 19644401398     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.030302     Document Type: Article

References (21)

1. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, United Kingdom, 2000).
2. T. Eggeling and R. F. Werner, Phys. Rev. A 63, 042111 (2001).
3. K. G. H. Vollbrecht and R. F. Werner, Phys. Rev. A 64, 062307 (2001).
4. K. Audenaert, B. De Moor, K. G. H. Vollbrecht, and R. F. Werner, Phys. Rev. A 66, 032310 (2002).
5. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
6. R. F. Werner, Phys. Rev. A 40, 4277 (1989).
7. M. Horodecki and P. Horodecki, Phys. Rev. A 59, 4206 (1999).
8. E. M. Rains, IEEE Trans. Inf. Theory 47, 2921 (2001).
9. I. Devetak and A. Winter, quant-ph/0306078 vl; quant-ph/0307053 v1.
10. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. 78, 2275 (1997).
11. V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998).
12. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 84, 2014 (2000).
13. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, United Kingdom, 1985), p. 101.
14. M. Marcus and H. Mine, A Survey of Matrix Theory and Matrix Inequalities (Dover, New York, 1992), p. 78.
15. J. Eisert, T. Felbinger, P. Papadopoulos, M. B. Plenio, and M. Wilkens, Phys. Rev. Lett. 84, 1611 (2000).
16. M. Hamada, Int. J. Quantum Inf. 4, 443 (2003).
17. K. G. H. Vollbrecht and M. M. Wolf, Phys. Rev. A 67, 012303 (2003).
18. K. G. H. Vollbrecht, R. F. Werner, and M. M. Wolf, Phys. Rev. A 69, 062304 (2004).
19. S. Virmani, M. F. Sacchi, M. B. Plenio, and D. Markham, Phys. Lett. A 288, 62 (2001).
20. H. Fan, Phys. Rev. Lett. 92, 177905 (2004).
21. S. Ghosh, G. Kar, A. Roy, and D. Sarkar, quant-ph/0205105 v3.