English

Computation in Sofic Quantum Dynamical Systems

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.0704.3075,
  title  = {Computation in Sofic Quantum Dynamical Systems},
  author = {Karoline Wiesner and James P. Crutchfield},
  journal= {arXiv preprint arXiv:0704.3075},
  year   = {2007}
}
R2 v1 2026-06-21T08:21:22.524Z