Non-Markovianity of Gaussian channels

G. Torre, W. Roga, F. Illuminati

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28 Citations (Scopus)
177 Downloads (Pure)


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.
Original languageEnglish
Article number070401
Number of pages5
JournalPhysical Review Letters
Issue number7
Early online date13 Aug 2015
Publication statusPublished - 14 Aug 2015


  • Gaussian quantum dynamics
  • time intervals
  • Gaussian channels


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