Coherent Quantum Dynamics in Steady-State Manifolds of Strongly Dissipative Systems

Paolo Zanardi and Lorenzo Campos Venuti
Phys. Rev. Lett. 113, 240406 – Published 12 December 2014
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Abstract

Recently, it has been realized that dissipative processes can be harnessed and exploited to the end of coherent quantum control and information processing. In this spirit, we consider strongly dissipative quantum systems admitting a nontrivial manifold of steady states. We show how one can enact adiabatic coherent unitary manipulations, e.g., quantum logical gates, inside this steady-state manifold by adding a weak, time-rescaled, Hamiltonian term into the system’s Liouvillian. The effective long-time dynamics is governed by a projected Hamiltonian which results from the interplay between the weak unitary control and the fast relaxation process. The leakage outside the steady-state manifold entailed by the Hamiltonian term is suppressed by an environment-induced symmetrization of the dynamics. We present applications to quantum-computation in decoherence-free subspaces and noiseless subsystems and numerical analysis of nonadiabatic errors.

  • Figure
  • Received 29 April 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.240406

© 2014 American Physical Society

Authors & Affiliations

Paolo Zanardi and Lorenzo Campos Venuti

  • Department of Physics and Astronomy, and Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089-0484, USA

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Issue

Vol. 113, Iss. 24 — 12 December 2014

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