Sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment

César A. Rodríguez-Rosario, Gen Kimura, Hideki Imai, Alán Aspuru-Guzik

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We find the necessary and sufficient conditions for the entropy rate of the system to be zero under any system-environment Hamiltonian interaction. We call the class of system-environment states that satisfy this condition lazy states. They are a generalization of classically correlated states defined by quantum discord, but based on projective measurements of any rank. The concept of lazy states permits the construction of a protocol for detecting global quantum correlations using only local dynamical information. We show how quantum correlations to the environment provide bounds to the entropy rate, and how to estimate dissipation rates for general non-Markovian open quantum systems.

Original languageEnglish
Article number050403
JournalPhysical Review Letters
Issue number5
Publication statusPublished - 2011 Feb 2


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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