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Quantum dynamical entropies for classical stochastic systems

Mathematical Physics 2009-11-07 v1 math.MP

Abstract

We compare two proposals for the dynamical entropy of quantum deterministic systems (CNT and AFL) by studying their extensions to classical stochastic systems. We show that the natural measurement procedure leads to a simple explicit expression for the stochastic dynamical entropy with a clear information-theoretical interpretation. Finally, we compare our construction with other recent proposals.

Keywords

Cite

@article{arxiv.math-ph/0206037,
  title  = {Quantum dynamical entropies for classical stochastic systems},
  author = {Mark Fannes and Bart Haegeman},
  journal= {arXiv preprint arXiv:math-ph/0206037},
  year   = {2009}
}

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15 pages