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Divisibility of quantum dynamical maps and collision models | | S. N. Filippov
; J. Piilo
; S. Maniscalco
; M. Ziman
; | | Date: |
16 Aug 2017 | | Abstract: | Divisibility of dynamical maps is visualized by trajectories in the parameter
space and analyzed within the framework of collision models. We introduce
ultimate completely positive (CP) divisible processes, which lose CP
divisibility under infinitesimal perturbations, and characterize Pauli
dynamical semigroups exhibiting such a property. We construct collision models
with factorized environment particles, which realize additivity and
multiplicativity of generators of CP divisible maps. A mixture of dynamical
maps is obtained with the help of correlated environment. Mixture of ultimate
CP divisible processes is shown to result in a new class of eternal CP
indivisible evolutions. We explicitly find collision models leading to weakly
and essentially non-Markovian Pauli dynamical maps. | | Source: | arXiv, 1708.4994 | | Services: | Forum | Review | PDF | Favorites | |
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