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Cited by 454

The DOI matches its Crossref record; 87 of the 87 references it cites were found in a registry or an index.

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

Open access
Gour, Gilad, Jennings, David, Buscemi, Francesco, Duan, Runyao, Marvian, Iman·2018·Nature Communications
DOI 10.1038/s41467-018-06261-7
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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 theory, 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 accounts 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.

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Metadata

Authors
Gour, G., Jennings, D., Buscemi, F., Duan, R., & Marvian, I.
Venue
Nature Communications
Publisher
Springer Science and Business Media LLC
Published
2018-12-17
Volume
9
Issue
1
Pages
5352-5352
ISSN
2041-1723 (ISSN-L)
DOI
10.1038/s41467-018-06261-7
OpenAlex
W2748637762
Cited by
454
References
87
FWCI
48.71
Type
journal article
Language
en
Open access
gold

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CoChat. (2026). Citation check: Quantum majorization and a complete set of entropic conditions for quantum thermodynamics. https://app.cochat.ai/papers/10.1038/s41467-018-06261-7
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Gour, G., Jennings, D., Buscemi, F., Duan, R., & Marvian, I. (2018). Quantum majorization and a complete set of entropic conditions for quantum thermodynamics. Nature Communications. https://doi.org/10.1038/s41467-018-06261-7

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