Wehrl entropy, Lieb conjecture, and entanglement monotones

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 69, Issue 2, 2004, Pages 223171-2231711

  Mintert, Florian ^a,b   Zyczkowski, Karol ^b,c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b JAGIELLONIAN UNIVERSITY   (Poland)

^c CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DATA PROCESSING; EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; FUNCTIONS; HARMONIC ANALYSIS; INTEGRAL EQUATIONS; INTEGRATION; PARAMETER ESTIMATION; PROBABILITY; PROBLEM SOLVING; VECTORS;

MONOTONES; WEHRL ENTROPY;

QUANTUM THEORY;

EID: 1942443833     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. K. Husimi, Proc. Phys. Math. Soc. Jpn. 22, 264 (1940).
2. A. Perelomov, Generalized Coherent States and their Applications (Springer, Berlin, 1986).
3. J.M. Radcliffe, J. Phys. A 4, 313 (1971).
4. R. Gilmore, Ann. Phys. (N.Y.) 74, 391 (1972).
5. K. T. Hecht, The Vector Coherent State Method and its Application to Problems of Higher Symmetry, Lecture Notes in Physics Vol. 290 (Springer, Berlin, 1987).
6. D.M. Gitman and A.L. Shelepin, J. Phys. A 26, 313 (1993).
7. S. Gnutzmann and M. Kuś, J. Phys. A 31, 9871 (1998).
8. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978).
9. E.H. Lieb, Commun. Math. Phys. 62, 35 (1978).
10. C.-T. Lee, J. Phys. A 21, 3749 (1988).
11. H. Scutaru (unpublished); e-print math-ph/9909024.
12. P. Schupp, Commun. Math. Phys. 207, 481 (1999).
13. S. Gnutzmann and K. Życzkowski, J. Phys. A 34, 10 123 (2001).
14. W. Słomczyński and K. Życzkowski, Phys. Rev. Lett. 80, 1880 7 (1998).
15. A. Sugita, J. Phys. A 35, L621 (2002).
16. A. Wehrl, Rep. Math. Phys. 16, 353 (1979).
17. K. Pia̧tek and W. Leoński, J. Phys. A 34, 4951 (2001).
18. A. Sugita, J. Phys. A 36, 9081 (2003).
19. R. Jozsa, D. Robb, and W.K. Wootters, Phys. Rev. A 49, 668 (1994).
20. V. Vedral and M.B. Plenio, Phys. Rev. A 57, 1619 (1998).
21. G. Vidal, J. Mod. Opt. 47, 355 (2000).
22. M. Horodecki, Quantum Inf. Comput. 1, 3 (2002).
23. A. Peres, Quantum Theory: Concepts and Methods (Kluver, Dodrecht, 1995).
24. J. Havrda and F. Charvat, Kybernetika 3, 30 (1967).
25. C. Tsallis, J. Stat. Phys. 52, 479 (1988).
26. S.R. Nichols and W.K. Wootters, Quantum Inf. Comput. 3, 1 (2003).
27. C. Beck and F. Schlögl, Thermodynamics of Chaotic Systems (Cambridge University Press, Cambridge, England, 1993).
28. M.A. Nielsen, Phys. Rev. Lett. 83, 436 (1999).
29. T. Ando, Linear Algebr. Appl. 118, 163 (1989).
30. K. Życzkowski and I. Bengtsson, Ann. Phys. (N.Y.) 295, 115 (2002).
31. M. Sinołȩcka, K. Życzkowski, and M. Kuś, Acta Phys. Pol. B 33, 2081 (2002).
32. A. Acín, A. Andrianov, E. Jané, and R. Tarrach, J. Phys. A 34, 6725 (2001).
33. A. Sudbery, J. Phys. A 34, 643 (2001).