Defining quantum dynamical entropy

@article{Alicki1994DefiningQD,
  title={Defining quantum dynamical entropy},
  author={Robert Alicki and Mark Fannes},
  journal={Letters in Mathematical Physics},
  year={1994},
  volume={32},
  pages={75-82}
}
We propose an elementary definition of the dynamical entropy for a discrete-time quantum dynamical system. We apply our construction to classical dynamical systems and to the shift on a quantum spin chain. In the first case, we recover the Kolmogorov-Sinai invariant and, for the second, we find the mean entropy of the invariant state plus the logarithm of the dimension of the single-spin space. 

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