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Infinite Correlation in Measured Quantum Processes

2006/11/14 by Karoline Wiesner, James P. Crutchfield, Wiesner, Karoline +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0611143

2 pages, 2 figures

arxiv created 2006/11/14 · arxiv updated 2009/12/01

Abstract

We show that quantum dynamical systems can exhibit infinite correlations in their behavior when repeatedly measured. We model quantum processes using quantum finite-state generators and take the stochastic language they generate as a representation of their behavior. We analyze two spin-1 quantum systems that differ only in how they are observed. The corresponding language generated has short-range correlation in one case and infinite correlation in the other.

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