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arXiv · 0911.0182

Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy

A. Baraviera·C. F. Lardizabal·Artur O. Lopes·M. Terra Cunha
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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.

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A. Baraviera, C. F. Lardizabal, Artur O. Lopes, M. Terra Cunha. 2009-11-01. Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy. https://arxiv.org/abs/0911.0182

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