98-259 M. Fannes, P. Tuyls

On quantum dynamical entropy (55K, TeX) Apr 8, 98

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Abstract. In this paper, we are mainly concerned with the computation of the dynamical entropy for the non-commutative toral automorphisms and the non-commutative shifts on a spin chain. The entropy that we consider is based on coarse-grained models of the system. In contrast to the classical situation, successive observations of a quantum system can generate entropy by themselves. We pay special attention to the delicate problem of delimiting a natural class of models for computing the entropy. We present also examples that show the importance of such a choice and obtain as a byproduct some general properties of the entropy.

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