Quantum non-Markovianity: characterization, quantification and detection.

@article{Rivas2014QuantumNC,
  title={Quantum non-Markovianity: characterization, quantification and detection.},
  author={{\'A}ngel Rivas and Susana F. Huelga and Martin Bodo Plenio},
  journal={Reports on progress in physics. Physical Society},
  year={2014},
  volume={77 9},
  pages={
          094001
        }
}
We present a comprehensive and up-to-date review of the concept of quantum non-Markovianity, a central theme in the theory of open quantum systems. We introduce the concept of a quantum Markovian process as a generalization of the classical definition of Markovianity via the so-called divisibility property and relate this notion to the intuitive idea that links non-Markovianity with the persistence of memory effects. A detailed comparison with other definitions presented in the literature is… 

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