Regularization of quantum relative entropy in finite dimensions and application to entropy production

Journal of Statistical Physics

Volumn 92, Issue 5-6, 1998, Pages 1115-1135

  Lendi, K ^a   Farhadmotamed, F ^a   Van Wonderen, A J ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Entropy production; Irreversible processes; Open quantum systems; Quantum relative entropy

Indexed keywords

EID: 0032166529     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023004929346     Document Type: Article

References (35)

1. S. Kullback, Information Theory and Statistics (Wiley, New York, 1959).
2. M. Nagasawa, Schrödinger Equations and Diffusion Theory (Birkhauser, Basel, 1993).
3. A. Wehrl, Rev. Mod. Phys. 50:221 (1978).
4. W. Thirring, Lehrbuch der Theoretischen Physik, Vol. 4 (Springer, Vienna, 1980).
5. M. Ohya and D. Petz, Quantum Entropy and Its Use (Springer, Berlin. 1993).
6. E. H. Lieb and M. B. Ruskai, Phys. Rev. Lett. 30:434 (1973): J. Math. Phys. 14:1938 (1973).
7. E. H. Lieb and M. B. Ruskai, Phys. Rev. Lett. 30:434 (1973): J. Math. Phys. 14:1938 (1973).
8. R. Alicki, Rep. Math. Phys. 10:249 (1976): J. Stat. Phys. 20:671 (1979).
9. R. Alicki, Rep. Math. Phys. 10:249 (1976): J. Stat. Phys. 20:671 (1979).
10. K. Lendi, Phys. Rev. A34:662 (1986).
11. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, Vol. 286 (Springer, Berlin, 1987).
12. H. Spohn, J. Math. Phys. 19:1227 (1978).
13. H. Spohn and J. L. Lebowitz, in Alliances in Chemical Physics, Vol. 38, S. A. Rice, ed. (Wiley, New York, 1978).
14. K. Lendi, J. Stat. Phys. 50:1103 (1988).
15. R. Jost, Quantenmechanik II (Verlag der Fachvereine an der ETH/Z, Zürich, 1973).
16. R. T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, 1970).
17. R. Webster, Convexity (Oxford University Press, Oxford, 1994).
18. E. H. Lieb, Adv. Math. 11:267 (1973).
19. G. Lindblad, Commun. Math. Phys. 39:111 (1974).
20. W. F. Stinespring, Proc. Am. Math. Soc. 6:911 (1955).
21. G. Lindblad, Commun. Math. Phys. 48:119 (1976).
22. G. Lindblad, Commun. Math. Phys. 40:147 (1975).
23. O. Klein, Z. Phys. 72:767 (1931).
24. G. S. Agarwal, Quantum Statistical Theories of Spontaneous Emission and their Relation to Other Approaches, Springer Tracts in Modern Physics, Vol. 70 (Springer, Berlin, 1974).
25. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17:821 (1976).
26. K. Lendi, J. Phys. A: Math. Gen. 20:15 (1987).
27. F. Haake, in Springer Tracts in Modern Physics, Vol. 66, G. Hohler, ed. (Springer, Berlin, 1973).
28. A. J. van Wondeven and K. Lendi, J. Stat. Phys. 80:273 (1995).
29. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics ( North-Holland, Amsterdam, 1962).
30. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).
31. R. Alicki, J. Stat. Phys. 20:671 (1979)
32. D. Ruelle, J. Stat. Phys. 85:1 (1996).
33. W. Breymann, T. Tel, and J. Vollmer, Phys. Rev. Lett. 77:2945 (1996).
34. R. Alicki, J. Phys. A: Math. Gen. 12:L103 (1979).
35. F. Farhadmotamed, A. J. van Wonderen, and K. Lendi, J. Phys. A: Math. Gen. 31:3395 (1998).