# Entanglement revival can occur only when the system–environment state is not a Markov state

@article{Sargolzahi2018EntanglementRC, title={Entanglement revival can occur only when the system–environment state is not a Markov state}, author={Iman Sargolzahi}, journal={Quantum Information Processing}, year={2018}, volume={17}, pages={1-18} }

Markov states have been defined for tripartite quantum systems. In this paper, we generalize the definition of the Markov states to arbitrary multipartite case and find the general structure of an important subset of them, which we will call strong Markov states. In addition, we focus on an important property of the Markov states: If the initial state of the whole system–environment is a Markov state, then each localized dynamics of the whole system–environment reduces to a localized…

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Positivity of the assignment map implies complete positivity of the reduced dynamics

- Physics, MathematicsQuantum Inf. Process.
- 2020

If there exists a positive assignment map, then the so-called reference state is a Markov state, which implies that there exists another assignment map which is completely positive, which means the reduced dynamics of the system is also completely positive.

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