A. Baraviera, C. F. Lardizabal, Artur O. Lopes, M. Terra Cunha
Published 2009-11-01, updated 2010-03-25Version 3
We describe some basic results for Quantum Stochastic Processes and present some new results about a certain class of processes which are associated to Quantum Iterated Function Systems (QIFS). We discuss questions related to the Markov property and we present a definition of entropy which is induced by a QIFS. This definition is a natural generalization of the Shannon-Kolmogorov entropy from Ergodic Theory. This definition is different from the one in the paper "A Thermodynamic Formalism for density matrices in Quantum Information" by the same authors.
Journal: Sao Paulo Journal of Mathematical Sciences Vol. 5, No. 1, p. 51-84, 2011
A new definition of t-entropy for transfer operators
Topological entropy for partial actions of the group $\mathbb Z$
Cellular automata and Lyapunov exponents
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