Quantum speed limits and the maximal rate of entropy production

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1910.06811.pdf (254.3 KB)

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https://arxiv.org/abs/1910.06811

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http://hdl.handle.net/11603/16920

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UMBC Physics Department
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2019-10-16

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journal articles preprints
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Citation of Original Publication

Deffner, Sebastian; Quantum speed limits and the maximal rate of entropy production; Quantum Physics; https://arxiv.org/abs/1910.06811

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Subjects

Bremermann-Bekenstein bound
cosmological properties
plausibility arguments
quantum information theory
quantum dynamics

Abstract

The Bremermann-Bekenstein bound sets a fundamental upper limit on the rate with which information can be processed. However, the original treatment heavily relies on cosmological properties and plausibility arguments. In the present analysis, we derive equivalent statements by relying on only two fundamental results in quantum information theory and quantum dynamics -- Fannes inequality and the quantum speed limit. As main results, we obtain Bremermann-Bekenstein-type bounds for the rate of change of the von Neumann entropy in quantum systems undergoing open system dynamics, and for the rate of change of the Shannon information over some logical basis in unitary quantum evolution.