arXiv Analytics

Sign in

arXiv:1708.04994 [quant-ph]AbstractReferencesReviewsResources

Divisibility of quantum dynamical maps and collision models

S. N. Filippov, J. Piilo, S. Maniscalco, M. Ziman

Published 2017-08-16Version 1

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.

Related articles: Most relevant | Search more
arXiv:1804.06522 [quant-ph] (Published 2018-04-18)
Temperature effects on quantum non-Markovianity via collision models
arXiv:1104.4566 [quant-ph] (Published 2011-04-23)
Quantum dynamical maps and Markovianity
arXiv:1202.6315 [quant-ph] (Published 2012-02-28)
Simulation of indivisible qubit channels in collision models