Nonlocal properties and local invariants for bipartite systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Albeverio, Sergio ^a   Fei, Shao Ming ^a,b   Parashar, Preeti ^c   Yang, Wen Li ^d,e  

^a UNIVERSITY OF BONN   (Germany)

^b CAPITAL NORMAL UNIVERSITY   (China)

^c INDIAN STATISTICAL INSTITUTE   (India)

^d KYOTO UNIVERSITY   (Japan)

^e NORTHWEST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS; TENSORS; VECTORS;

BIPARTITE QUANTUM SYSTEMS; GENERIC DENSITY MATRICES; LOCAL UNITARY TRANSFORMATIONS;

QUANTUM THEORY;

EID: 0141796514     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. J. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
2. Quantum Theory: Reconsideration of Foundations, edited by A. Khrennikov (Växjö University Press, Växjö, 2002).
3. See, for example, D.P. DiVincenzo, Science 270, 255 (1995).
4. C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
5. S. Albeverio and S. M. Fei, Phys. Lett. A 276, 8 (2000).
6. G. M. D'Ariano, P. Lo Presti, and M. F. Sacchi, Phys. Lett. A 272, 32 (2000).
7. S. Albeverio, S. M. Fei, and W. L. Yang, Commun. Theor. Phys. 38, 301 (2002)
8. S. Albeverio, S. M. Fei, and W. L. Yang, Phys. Rev. A 66, 012301 (2002).
9. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
10. A. Ekert, Phys. Rev. Lett. 67, 661 (1991).
11. D. Deutsch, A. Ekert, P. Rozsa, C. Macchiavello, S. Popescu, and A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996).
12. C. A. Fuchs, N. Gisin, R. B. Griffiths, C.-S. Niu, and A. Peres, Phys. Rev. A 56, 1163 (1997).
13. E. M. Rains, IEEE Trans. Inf. Theory 46, 54 (2000).
14. M. Grassl, M. Rötteler, and T. Beth, Phys. Rev. A 58, 1833 (1998).
15. Y. Makhlin, Quantum Inf. Proc. 1, 243 (2002).
16. N. Linden, S. Popescu, and A. Sudbery, Phys. Rev. Lett. 83, 243 (1999).
17. N. Linden and S. Popescu, Fortschr. Phys. 46, 567 (1998).
18. S. Albeverio and S. M. Fei, J. Opt. B: Quantum Semiclassical Opt. 3, 1 (2001).
19. S. Albeverio, S. M. Fei, and D. Goswami, Phys. Lett. 286A, 91 (2001)
20. S. M. Fei, X. H. Gao, X. H. Wang, Z. X. Wang, and K. Wu, Phys. Lett. A 300, 559 (2002).
21. H. Fan, K. Matsumoto, and H. Imai, J. Phys. A 36, 4151 (2003).
22. E. Schmidt, Math. Ann. 63, 433 (1906).
23. J. E. Humphreys, Introduction to Lie Algebras and Representation Theory (Springer-Verlag, Berlin, 1972).
24. M. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).