Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy
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 de nition of entropy which is induced by a QIFS. This definition is a natural generalization of the Shannon-Kolmogorov entropy from Ergodic Theory.
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Baraviera, A., Lardizabal, C. F., Lopes, A. O., & Cunha, M. T. C. T. (2011). Quantum Stochastic Processes, Quantum Iterated Function Systems and Entropy. São Paulo Journal of Mathematical Sciences, 5(1), 53-87. https://doi.org/10.11606/issn.2316-9028.v5i1p53-87