Structure of the Resource Theory of Quantum Coherence

Alexander Streltsov; Swapan Rana; Paul Boes; Ralf Eisert

doi:10.1103/physrevlett.119.140402

Structure of the Resource Theory of Quantum Coherence

Abstract

Quantum coherence is an essential feature of quantum mechanics which is responsible for the departure between the classical and quantum world. The recently established resource theory of quantum coherence studies possible quantum technological applications of quantum coherence, and limitations that arise if one is lacking the ability to establish superpositions. An important open problem in this context is a simple characterization for incoherent operations, constituted by all possible transformations allowed within the resource theory of coherence. In this Letter, we contribute to such a characterization by proving several upper bounds on the maximum number of incoherent Kraus operators in a general incoherent operation. For a single qubit, we show that the number of incoherent Kraus operators is not more than 5, and it remains an open question if this number can be reduced to 4. The presented results are also relevant for quantum thermodynamics, as we demonstrate by introducing the class of Gibbs-preserving strictly incoherent operations, and solving the corresponding mixed-state conversion problem for a single qubit..

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Keywords

QUANTUM INFORMATION THEORY

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW LETTERS no. 119, pages 1 - 6,
ISSN: 0031-9007
Language:: English
Publication year:: 2017
Bibliographic description:: Streltsov A., Rana S., Boes P., Eisert R.: Structure of the Resource Theory of Quantum Coherence// PHYSICAL REVIEW LETTERS. -Vol. 119, (2017), s.1-6
DOI:: Digital Object Identifier (open in new tab) 10.1103/physrevlett.119.140402
Verified by:: Gdańsk University of Technology