Genuine correlated coherence

Kraft, Tristan and Piani, Marco (2018) Genuine correlated coherence. Journal of Physics A: Mathematical and Theoretical, 51 (41). 414013. ISSN 1751-8121 (https://doi.org/10.1088/1751-8121/aab8ad)

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Abstract

We introduce a notion of genuine correlated coherence. Such a notion is based on the possibility of concentrating on individual systems the coherence present in a distributed system, by making use of incoherent unitary transformations. We define an entropic quantifier of genuine correlated multipartite coherence for generic mixed states, and we focus on the bipartite pure-state case. In the latter case we derive necessary and sufficient conditions for the possibility of fully localizing the coherence, hence identifying the conditions for genuine correlated bipartite coherence. We analyze in detail the quantitative problem for the case of two-qubit pure states, identifying the states with the largest amount of genuine correlated coherence. Interestingly, such states do not have maximal global coherence nor maximal coherence rank.

  • Item type:Article
    ID code:63526
    Dates:
    Date
    Event
    14 September 2018
    Published
    22 March 2018
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:21 Mar 2018 16:55
    Last modified:11 Apr 2024 01:27
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/63526
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