Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy
Dynamical Systems
2011-08-23 v3 Mathematical Physics
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.0911.0182,
title = {Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy},
author = {A. Baraviera and C. F. Lardizabal and Artur O. Lopes and M. Terra Cunha},
journal= {arXiv preprint arXiv:0911.0182},
year = {2011}
}