Phys. Rev. A 59, 2649–2658 (1999)

Realizing the quantum baker’s map on a NMR quantum computer

Abstract

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Todd A. Brun^1,* and Rüdiger Schack^2,†
¹Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
²Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, United Kingdom

Received 20 July 1998; published in the issue dated April 1999

By numerically simulating an implementation of the quantum baker’s map on a NMR quantum computer based on the molecule trichloroethylene, we demonstrate the feasibility of quantum chaos experiments on present day quantum computers. We give detailed descriptions of proposed experiments that investigate (a) the rate of entropy increase due to decoherence and (b) the phenomenon of hypersensitivity to perturbation.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.59.2649

DOI:

10.1103/PhysRevA.59.2649

PACS:

03.67.Lx, 03.67.-a, 05.45.-a

^*Present address: Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213. Electronic address: tbrun@andrew.cmu.edu

^†Electronic address: r.schack@rhbnc.ac.uk

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Phys. Rev. A 59, 2649–2658 (1999)

Realizing the quantum baker’s map on a NMR quantum computer