Lecture notes review two standard characterizations of quantum Markovianity (CP-divisibility and MDSD) and their classical counterparts for students of open quantum systems.
Gardiner,Stochastic Methods, (Springer Berlin, Heidelberg, 2009)
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Lecture notes on classical and quantum non-Markovianity
Lecture notes review two standard characterizations of quantum Markovianity (CP-divisibility and MDSD) and their classical counterparts for students of open quantum systems.