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Quantum Algorithms
Computation in Sofic Quantum Dynamical Systems
arXiv
Authors: Karoline Wiesner, James P. Crutchfield
Year
2007
Paper ID
50499
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
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.
Why This Paper Matters
- It adds a 2007 reference point for readers tracking recent quantum research.
- We analyze how measured quantum dynamical systems store and process information, introducing sofic quantum dynamical systems.
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