Adrian Hutter, Stephanie Wehner
Published 2011-09-03, updated 2012-03-23Version 3
The joint state of a system that is in contact with an environment is called lazy, if the entropy rate of the system under any coupling to the environment is zero. Necessary and sufficient conditions have recently been established for a state to be lazy [ Phys. Rev. Lett. 106 050403 (2011)], and it was shown that almost all states of the system and the environment do not have this property [ Phys. Rev. A 81 052318 (2010)]. At first glance, this may lead us to believe that low entropy rates themselves form an exception, in the sense that most states are far from being lazy and have high entropy rates. Here, we show that in fact the opposite is true if the environment is sufficiently large. Almost all states of the system and the environment are pretty lazy-their entropy rates are low for any coupling to the environment.
Comments: 4+3 pages, revtex, v3: version published in PRL
Journal: Phys. Rev. Lett. 108, 070501 (2012)
Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
Non-Markovianity through flow of information between system and environment
Dependence of a quantum mechanical system on its own initial state and the initial state of the environment it interacts with
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