Quantum majorization and a complete set of entropic conditions for quantum thermodynamics

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Title: Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
Authors: Jennings, D
Gour, G
Buscemi, F
Duan, R
Marvian, I
Item Type: Journal Article
Abstract: 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 we use a quantum-mechanical generalization of majorization to develop a framework for answering this question, in terms of single-shot entropies, or equivalently, in terms of semi-definite programs. We also investigate some of the applications of this framework, and remarkably find that, in the context of quantum thermodynamics it provides the first complete set of necessary and sufficient conditions for arbitrary quantum state transformations under thermodynamic processes, which rigorously ac- counts for quantum-mechanical properties, such as coherence. Our framework of generalized thermal processes extends thermal operations, and is based on natural physical principles, namely, energy conservation, the existence of equilibrium states, and the requirement that quantum coherence be accounted for thermodynamically.
Issue Date: 17-Dec-2018
Date of Acceptance: 20-Aug-2018
URI: http://hdl.handle.net/10044/1/63746
ISSN: 2041-1723
Publisher: Nature Publishing Group
Journal / Book Title: Nature Communications
Copyright Statement: This paper is embargoed until publication. Once published it will be available fully open access.
Keywords: MD Multidisciplinary
Publication Status: Accepted
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Quantum Optics and Laser Science
Physics
Faculty of Natural Sciences



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