6533b82bfe1ef96bd128d676
RESEARCH PRODUCT
Non-Markovianity of Gaussian Channels
Gianpaolo TorreFabrizio IlluminatiWojciech RogaWojciech Rogasubject
Quantum decoherenceGaussianFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciences010305 fluids & plasmasGaussian random fieldsymbols.namesakeQuantum mechanics0103 physical sciencesGaussian functionApplied mathematics010306 general physicsRepresentation (mathematics)Mathematical PhysicsQCQuantum PhysicsCovariance matrixMathematical Physics (math-ph)Divisibility rule16. Peace & justiceGaussian filterCondensed Matter - Other Condensed MattersymbolsQuantum Physics (quant-ph)Other Condensed Matter (cond-mat.other)description
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 to arbitrary time intervals. Such construction does not rely on the Choi-Jamiolkowski representation and does not require optimization over states.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-02 | Physical Review Letters |