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.
|Number of pages||5|
|Journal||Physical Review Letters|
|Early online date||13 Aug 2015|
|Publication status||Published - 14 Aug 2015|
- Gaussian quantum dynamics
- time intervals
- Gaussian channels