Exponential l2-convergence of quantum markov semigroups on Bh]

Mathematical Notes

Volumn 68, Issue 4, 2000, Pages 452-463

  Carbone, R ^a   Fagnola, F ^b  

^a UNIVERSITY OF MILAN   (Italy)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

Decay to equilibrium; Exponential rate; Invariant state; Markov semigroup; Quantum birth and death process; Quantum Markov semigroup; Spectral gap; Symmetric imbedding of operators

Indexed keywords

EID: 4944253439     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02676724     Document Type: Article

References (5)

1. F. Fagnola, "Quantum Markov Semigroups and Quantum Markov Flows," Proyecciones, 18, No. 3, 1-144 (1999).
2. M. F. Chen, "Estimation of spectral gap for Markov chains," Acta Math. Sinica (N.S.), 12, No. 4, 337-360 (1996).
3. 2 convergence of attractive reversible nearest particle systems," Ann. Probab., 17, 403-432 (1989).
4. L. Saloff-Coste, "Lectures on finite Markov chains," in: Lectures on Probability Theory and Statistics (St. Flour, 1996), Vol. 1665, Lecture Notes in Math, Springer, New York (1997), pp. 301-413.
5. M. Ohya and D. Petz, Quantum Entropy and Its use, Springer, New York (1995).