Divisibility of quantum dynamical maps and collision models

S. N. Filippov, J. Piilo, S. Maniscalco, and M. Ziman
Phys. Rev. A 96, 032111 – Published 14 September 2017

Abstract

The 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. The mixture of ultimate CP divisible processes is shown to result in a class of eternal CP indivisible evolutions. We explicitly find collision models leading to weakly and essentially non-Markovian Pauli dynamical maps.

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  • Received 17 August 2017

DOI:https://doi.org/10.1103/PhysRevA.96.032111

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyInterdisciplinary Physics

Authors & Affiliations

S. N. Filippov1,2, J. Piilo3, S. Maniscalco3,4, and M. Ziman5,6

  • 1Moscow Institute of Physics and Technology, Institutskii Per. 9, Dolgoprudny, Moscow Region 141700, Russia
  • 2Institute of Physics and Technology, Russian Academy of Sciences, Nakhimovskii Prospekt 34, Moscow 117218, Russia
  • 3Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turun Yliopisto, Finland
  • 4Centre for Quantum Engineering, Department of Applied Physics, School of Science, Aalto University, P.O. Box 11000, FI-00076 Aalto, Finland
  • 5Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, Bratislava 84511, Slovakia
  • 6Faculty of Informatics, Masaryk University, Botanická 68a, Brno 60200, Czech Republic

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Issue

Vol. 96, Iss. 3 — September 2017

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