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Open quantum walks

A mini review of the field and recent developments
  • Ilya SinayskiyEmail author
  • Francesco Petruccione
Review
First Online:
  • 13 Downloads
Part of the following topical collections:
  1. Non-equilibrium Dynamics: Quantum Systems and Foundations of Quantum Mechanics

Abstract

Open quantum walks (OQWs) are a class of quantum walks, which are purely driven by the interaction with the dissipative environment. In this paper, we review theoretical advances on the foundations of discrete time OQWs, continuous time OQWs and a scaling limit of OQWs called open quantum Brownian motion. The main focus of the review is on the results and developments of discrete time OQW, covering general formalism, quantum trajectories for OQWs, central limit theorems, the microscopic derivation as well as possible generalisations and applications of OQWs.

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Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Quantum Research Group, School of Chemistry and PhysicsDurban, KwaZulu-NatalSouth Africa
  2. 2.National Institute for Theoretical Physics (NITheP)KwaZulu-NatalSouth Africa
  3. 3.School of Electrical Engineering, KAISTDaejeonRepublic of Korea

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