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Area law for fixed points of rapidly mixing dissipative quantum systems.

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Brandao Fischer, Bruno and Cubitt, Toby S. and Lucia, Angelo and Michalakis, Spyridon and Pérez García, David (2015) Area law for fixed points of rapidly mixing dissipative quantum systems. Journal of mathematical physics, 56 (10). pp. 102202-1. ISSN 0022-2488

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Official URL: http://scitation.aip.org/content/aip/journal/jmp/56/10/10.1063/1.4932612



Abstract

We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either of the following assumptions: the fixed point is pure or the system is frustration free


Item Type:Article
Uncontrolled Keywords:Spin systems; Dynamical semigroup; Exponential decay; Lattice; Entanglement
Subjects:Sciences > Mathematics > Differential equations
ID Code:34838
Deposited On:18 Dec 2015 09:28
Last Modified:03 Mar 2016 13:00

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