Partial positive scaling transform: A separability criterion

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 339, Issue 3-5, 2005, Pages 194-206

  Man'ko, Olga V ^a   Man'ko, V I ^a   Marmo, G ^b,c   Shaji, Anil ^d   Sudarshan, E C G ^d   Zaccaria, F ^b,c  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c INFN SEZIONE DI NAPOLI   (Italy)

^d UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Canonical variables; Entanglement; Partial scaling; Partial time reversal; Robertson Schr dinger uncertainty; Separability; Tomogram

Indexed keywords

QUANTUM OPTICS;

CANONICAL VARIABLES; ENTANGLEMENT; PARTIAL SCALING; SEPARABILITY; TIME REVERSAL; TOMOGRAM;

CONTINUOUS TIME SYSTEMS;

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; QUANTUM MECHANICS; SEPARATION TECHNIQUE; TOMOGRAPHY;

EID: 17844404279     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.02.070     Document Type: Article

References (31)

1. E. Schrödinger Naturwissenschaften 23 1935 823
2. A. Peres Phys. Rev. Lett. 77 1996 1413
3. M. Horodecki, P. Horodecki, and R. Horodecki Phys. Lett. A 223 1996 1
4. J. Math. Phys. 43 2002 special issue on entanglement
5. E.C.G. Sudarshan, P.M. Mathews, and J. Rau Phys. Rev. 121 1961 920
6. S.L. Woronowicz Rep. Math. Phys. 10 1976 165
7. A. Jamiolkowski Rep. Math. Phys. 3 1972 275
8. M.D. Choi Can. J. Math. 24 3 1972 520
9. M.D. Choi Illinois J. Math. 18 4 1974 565
10. M.D. Choi Linear Algebra Appl. 10 1975 285
11. M.D. Choi Linear Algebra Appl. 12 1975 95
12. V.V. Dodonov, A.S.M. de Castro, and S.S. Mizrahi Phys. Lett. A. 296 2002 73
13. A.S.M. de Castro, and V.V. Dodonov J. Opt. B: Quantum Semiclass. Opt. 5 2003 S593
14. R. Simon Phys. Rev. Lett. 84 2000 2726
15. O.V. Man'ko, and V.I. Man'ko J. Russ. Laser Res. 18 1997 407
16. V.I. Man'ko, and R.V. Mendes Physica D 145 2000 222
17. O.V. Man'ko, and V.I. Man'ko J. Russ. Laser Res. 25 2004 477
18. E. Wigner Phys. Rev. 40 1932 749
19. J.E. Moyal Proc. Cambridge Philos. Soc. 45 1949 99
20. S. Mancini, V.I. Man'ko, and P. Tombesi Quantum Semiclass. Opt. 7 1995 615
21. S. Mancini, V.I. Man'ko, and P. Tombesi Phys. Lett. A 213 1996 1
22. S. Mancini, V.I. Man'ko, and P. Tombesi Found. Phys. 27 1997 81
23. W. Heisenberg Z. Phys. 43 1927 172
24. E. Schrödinger Sitzungsber. Preuss. Acad. Wiss. 24 1930 296
25. H.P. Robertson Phys. Rev. 35 1930 667
26. V.V. Dodonov, E.V. Kurmushev, and V.I. Man'ko Phys. Lett. A 79 1980 150
27. V.V. Dodonov, and V.I. Man'ko Invariants and the evolution of non-stationary quantum systems Proceedings of the Lebedev Physical Institute, vol. 183 1989 Nauka Moscow
28. E.C.G. Sudarshan, C.B. Chiu, and G. Bhamathi Phys. Rev. A 52 1995 43
29. J. Bertrand, and P. Bertrand Found. Phys. 17 1987 397
30. I.M. Gelfand, and G.E. Shilov Generalized Functions, vol. 5 1964 Academic Press New York
31. V.I. Man'ko, G. Marmo, E.C.G. Sudarshan, and F. Zaccaria Phys. Scr. 55 1997 528