Computation in sofic quantum dynamical systems

Authors:
Karoline Wiesner;James P. Crutchfield
Affiliations:
Center for Computational Science & Engineering and Physics Department, University of California Davis, Davis, CA;Center for Computational Science & Engineering and Physics Department, University of California Davis, Davis, CA
Venue:
UC'07 Proceedings of the 6th international conference on Unconventional Computation
Year:
2007

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Abstract

We analyze how measured quantum dynamical systems store and process information, introducing sofic quantum dynamical systems. Using recently introduced information-theoretic measures for quantum processes, we quantify their information storage and processing in terms of entropy rate and excess entropy, giving closed-form expressions where possible. To illustrate the impact of measurement on information storage in quantum processes, we analyze two spin-1 sofic quantum systems that differ only in how they are measured.