We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Equivalent Definitions of the Quantum Nonadiabatic Entropy Production.
- Authors
Horowitz, Jordan; Sagawa, Takahiro
- Abstract
The nonadiabatic entropy production is a useful tool for the thermodynamic analysis of continuously dissipating, nonequilibrium steady states. For open quantum systems, two seemingly distinct definitions for the nonadiabatic entropy production have appeared in the literature, one based on the quantum relative entropy and the other based on quantum trajectories. We show that these two formulations are equivalent. Furthermore, this equivalence leads us to a proof of the monotonicity of the quantum relative entropy under a special class of completely-positive, trace-preserving quantum maps, which circumvents difficulties associated with the noncommuntative structure of operators.
- Subjects
ENTROPY; QUANTUM trajectories; QUANTUM maps; MINKOWSKI space; HYPERBOLIC geometry
- Publication
Journal of Statistical Physics, 2014, Vol 156, Issue 1, p55
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-014-0991-1