Non-Markovianity of Gaussian channels

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Torre, G. and Roga, W. and Illuminati, F. (2015) Non-Markovianity of Gaussian channels. Physical Review Letters, 115 (7). 070401. ISSN 1079-7114 (https://doi.org/10.1103/PhysRevLett.115.070401)

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Abstract

We introduce a necessary and sufficient criterion for the non-Markovianity of Gaussian quantum dynamical maps based on the violation of divisibility. The criterion is derived by defining a general vectorial representation of the covariance matrix which is then exploited to determine the condition for the complete positivity of partial maps associated with arbitrary time intervals. Such construction does not rely on the Choi-Jamiolkowski representation and does not require optimization over states.

ORCID iDs

Torre, G., Roga, W. ORCID logoORCID: https://orcid.org/0000-0003-4434-2515 and Illuminati, F.;
  • Item type:Article
    ID code:54159
    Dates:
    Date
    Event
    14 August 2015
    Published
    13 August 2015
    Published Online
    28 July 2015
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:04 Sep 2015 11:18
    Last modified:12 Dec 2024 03:31
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/54159
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