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@article{Gour:2018:10.1038/s41467-018-06261-7,
author = {Gour, G and Jennings, D and Buscemi, F and Duan, R and Marvian, I},
doi = {10.1038/s41467-018-06261-7},
journal = {Nature Communications},
title = {Quantum majorization and a complete set of entropic conditions for quantum thermodynamics},
url = {http://dx.doi.org/10.1038/s41467-018-06261-7},
volume = {9},
year = {2018}
}

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TY  - JOUR
AB  - What does it mean for one quantum process to be more disordered than another?  Interestingly,this apparently abstract question arises naturally in a wide range of areas such as information the-ory,  thermodynamics,  quantum reference frames and the resource theory of asymmetry.  Here weuse a quantum-mechanical generalization of majorization to develop a framework for answering thisquestion, in terms of single-shot entropies, or equivalently, in terms of semi-definite programs.  Wealso investigate some of the applications of this framework, and remarkably find that, in the contextof quantum thermodynamics it provides the first complete set of necessary and sufficient conditionsfor arbitrary quantum state transformations under thermodynamic processes, which rigorously ac-counts for quantum-mechanical properties, such as coherence. Our framework of generalized thermalprocesses extends thermal operations, and is based on natural physical principles, namely, energyconservation, the existence of equilibrium states, and the requirement that quantum coherence beaccounted for thermodynamically.
AU  - Gour,G
AU  - Jennings,D
AU  - Buscemi,F
AU  - Duan,R
AU  - Marvian,I
DO  - 10.1038/s41467-018-06261-7
PY  - 2018///
SN  - 2041-1723
TI  - Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
T2  - Nature Communications
UR  - http://dx.doi.org/10.1038/s41467-018-06261-7
UR  - http://hdl.handle.net/10044/1/63746
VL  - 9
ER  -

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