Coherent dynamical control of quantum processes

V. Rezvani and A. T. Rezakhani
Phys. Rev. A 104, 012215 – Published 20 July 2021

Abstract

Manipulation of a quantum system requires the knowledge of how it evolves. To impose that the dynamics of a system becomes a particular target operation (for any preparation of the system), it may be more useful to have an equation of motion for the dynamics itself, rather than the state. Here we develop a Markovian master equation for the process matrix of an open system interacting with a reservoir, which resembles the Lindblad Markovian master equation. We employ this equation to introduce a scheme for optimal local coherent process control at target times and extend the Krotov technique to obtain optimal control. We illustrate utility of this framework through several quantum coherent-control scenarios, such as optimal decoherence suppression, gate simulation, and passive and indirect control of the reservoir, in all of which we aim to simulate a given terminal process at a given final time.

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  • Received 9 January 2020
  • Accepted 22 June 2021

DOI:https://doi.org/10.1103/PhysRevA.104.012215

©2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

V. Rezvani* and A. T. Rezakhani

  • Department of Physics, Sharif University of Technology, Tehran 14588, Iran

  • *vahid_rezvani@physics.sharif.edu
  • rezakhani@sharif.edu

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Issue

Vol. 104, Iss. 1 — July 2021

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