A1 Refereed original research article in a scientific journal

Set Coherence: Basis-Independent Quantification of Quantum Coherence




AuthorsDesignolle Sébastien, Uola Roope, Luoma Kimmo, Brunner Nicolas

PublisherAMER PHYSICAL SOC

Publication year2021

JournalPhysical Review Letters

Journal name in sourcePHYSICAL REVIEW LETTERS

Journal acronymPHYS REV LETT

Article numberARTN 220404

Volume126

Issue22

Number of pages6

ISSN0031-9007

DOIhttps://doi.org/10.1103/PhysRevLett.126.220404


Abstract
The coherence of an individual quantum state can be meaningfully discussed only when referring to a preferred basis. This arbitrariness can, however, be lifted when considering sets of quantum states. Here we introduce the concept of set coherence for characterizing the coherence of a set of quantum systems in a basis-independent way. We construct measures for quantifying set coherence of sets of quantum states as well as quantum measurements. These measures feature an operational meaning in terms of discrimination games and capture precisely the advantage offered by a given set over incoherent ones. Along the way, we also connect the notion of set coherence to various resource-theoretic approaches recently developed for quantum systems.



Last updated on 2024-26-11 at 12:24