title: Sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment.
abstract: 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.
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA. rodriguez@chemistry.harvard.edu
authors.forename: César A
authors.initials: CA
authors.lastname: Rodríguez-Rosario
authors.forename: Gen
authors.initials: G
authors.lastname: Kimura
authors.forename: Hideki
authors.initials: H
authors.lastname: Imai
authors.forename: Alán
authors.initials: A
authors.lastname: Aspuru-Guzik