M Fannes et al 2005 J. Phys. A: Math. Gen. 38 2103 doi:10.1088/0305-4470/38/10/003
Robustness of dynamical entropy
M Fannes, B Haegeman and D Vanpeteghem
Show affiliationsWhen quantifying the mixing properties of a quantum dynamical system in terms of dynamical entropy, the following scheme appears natural: observe the state of the system at regular time intervals while it evolves and determine the entropy produced over time. It is clear that this entropy will not only depend on the type of dynamics, but also on the type of observations. Intuitively, one can expect that some measurements are better suited than others to reveal information about the dynamics, whereas many will generate undesirable noise. In this paper, we show for two widely used model systems that the dynamical entropy is rather robust in this respect. More precisely, general local positive operator-valued measurements may be restricted to von Neumann-type measurements for the shift on a quantum spin chain and gauge-invariant ones for the shift on a Fermion chain.
- PACS
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02.50.-r Probability theory, stochastic processes, and statistics
- MSC
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37A35 Entropy and other invariants, isomorphism, classification
- Subjects
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Quantum gases, liquids and solids
- Dates
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Issue 10 (11 March 2005)
Received 23 November 2004, in final form 18 January 2005
Published 23 February 2005
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Robustness of dynamical entropy
M Fannes et al 2005 J. Phys. A: Math. Gen. 38 2103
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