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
2011 Physical Review Letters  
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
more » ... namical 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.
doi:10.1103/physrevlett.106.050403 pmid:21405379 fatcat:cjv7egdcqvbqhk6pr6lh2cnlya