Non-Markovian Open Dynamics from Collision Models

Vijay Pathak, Anil Shaji · Open Systems & Information Dynamics · 2019

Convex combinations of completely positive (CP) as well as CP-divisible, continuous time dynamical maps arising from collision models are investigated. While the individual maps are both CP and Markovian we find that convex combinations remain CP but not necessarily Markovian. Examples of such combinations for qubit dynamical maps arising from collisional models are worked out and the invertibility, CP-divisibility, P-divisibility as well as Markovian properties of such maps are explored.

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