Quantifying nonclassicality : Global impact of local unitary evolutions

Giampaolo, Salvatore and Streltsov, Alexander and Roga, Wojciech and Bruß, Dagmar and Illuminati, Fabrizio (2013) Quantifying nonclassicality : Global impact of local unitary evolutions. Physical Review A, 87 (1). 012313. ISSN 1050-2947 (https://doi.org/10.1103/PhysRevA.87.012313)

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Abstract

We show that only those composite quantum systems possessing nonvanishing quantum correlations have the property that any nontrivial local unitary evolution changes their global state. We derive the exact relation between the global state change induced by local unitary evolutions and the amount of quantum correlations. We prove that the minimal change coincides with the geometric measure of discord (defined via the Hilbert-Schmidt norm), thus providing the latter with an operational interpretation in terms of the capability of a local unitary dynamics to modify a global state. We establish that two-qubit Werner states are maximally quantum correlated, and are thus the ones that maximize this type of global quantum effect. Finally, we show that similar results hold when replacing the Hilbert-Schmidt norm with the trace norm.

ORCID iDs

Giampaolo, Salvatore, Streltsov, Alexander, Roga, Wojciech ORCID logoORCID: https://orcid.org/0000-0003-4434-2515, Bruß, Dagmar and Illuminati, Fabrizio;
  • Item type:Article
    ID code:55577
    Dates:
    Date
    Event
    16 January 2013
    Published
    Subjects:Science > Physics
    Department:UNSPECIFIED
    Depositing user: Pure Administrator
    Date deposited:18 Feb 2016 15:30
    Last modified:11 Nov 2024 11:15
    URI:https://strathprints.strath.ac.uk/id/eprint/55577
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