DEFINING QUANTUM DYNAMICAL ENTROPY

Authors
ALICKI R FANNES M
Citation
R. Alicki et M. Fannes, DEFINING QUANTUM DYNAMICAL ENTROPY, letters in mathematical physics, 32(1), 1994, pp. 75-82
Citations number
11
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
32
Issue
1
Year of publication
1994
Pages
75 - 82
Database
ISI
SICI code
0377-9017(1994)32:1<75:DQDE>2.0.ZU;2-X
Abstract
We propose an elementary definition of the dynamical entropy for a dis crete-time quantum dynamical system. We apply our construction to clas sical dynamical systems and to the shift on a quantum spin chain. In t he first case, we recover the Kolmogorov-Sinai invariant and, for the second, we find the mean entropy of the invariant state plus the logar ithm of the dimension of the single-spin space.