Generation of entangled states and error protection from adiabatic avoided level crossings

Nicole F. Bell, R. F. Sawyer, Raymond R. Volkas, and Yvonne Y. Y. Wong
Phys. Rev. A 65, 042328 – Published 10 April 2002
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Abstract

We consider the environment-affected dynamics of N self-interacting particles living in one-dimensional double wells. Two topics are dealt with. First, we consider the production of entangled states of two-level systems. We show that by adiabatically varying the well biases, we may dynamically generate maximally entangled states, starting from initially unentangled product states. Entanglement degradation due to a common type of environmental influence is then computed by solving a master equation. However, we also demonstrate that entanglement production is unaffected if the system-environment coupling is of the type that induces “motional narrowing.” As our second but related topic, we construct a different master equation that seamlessly merges error protection/detection dynamics for quantum information with the environmental couplings responsible for producing the errors in the first place. Adiabatic avoided crossing schemes are used in both topics.

  • Received 3 September 2001

DOI:https://doi.org/10.1103/PhysRevA.65.042328

©2002 American Physical Society

Authors & Affiliations

Nicole F. Bell1,*, R. F. Sawyer2,†, Raymond R. Volkas1,‡, and Yvonne Y. Y. Wong1,§

  • 1School of Physics, Research Centre for High Energy Physics, The University of Melbourne, Victoria 3010, Australia
  • 2Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106

  • *Present address: NASA/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, IL 60510-0500; Email address: n.bell@physics.unimelb.edu.au
  • Email address: sawyer@vulcan.physics.ucsb.edu
  • Email address: r.volkas@physics.unimelb.edu.au
  • §Present address: Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716; Email address: y.wong@physics.unimelb.edu.au

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Vol. 65, Iss. 4 — April 2002

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