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Phys. Rev. A 68, 032307 (2003) [6 pages]

State permutations from manipulation of near-level-crossings

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Nicole F. Bell1,*, R. F. Sawyer2,†, Raymond R. Volkas3,‡, and Yvonne Y. Y. Wong4,§
1NASA/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510-0500, USA
2Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106, USA
3School of Physics, Research Centre for High Energy Physics, The University of Melbourne, Victoria 3010, Australia
4Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA

Received 14 February 2003; revised 23 June 2003; published 15 September 2003

We discuss some systematic methods for implementing state manipulations in systems formally similar to chains of a few spins with nearest-neighbor interactions, arranged such that there are strong and weak scales of coupling links. States are permuted by means of bias potentials applied to a few selected sites. This generic structure is then related to an atoms-in-a-cavity model that has been proposed in the literature as a way of achieving a decoherence-free subspace. A method using adiabatically varying laser detuning to implement a controlled NOT gate in this model is proposed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.032307
DOI:
10.1103/PhysRevA.68.032307
PACS:
03.67.-a, 03.65.Xp, 05.50.+q, 42.50.-p

*Electronic address: nfb@fnal.gov

Electronic address: sawyer@vulcan.physics.ucsb.edu

Electronic address: r.volkas@physics.unimelb.edu.au

§Electronic address: ywong@physics.udel.edu