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Phys. Rev. A 78, 022330 (2008) [8 pages]

Analog Grover search by adiabatic passage in a cavity-laser-atom system

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D. Daems*
QuIC, Ecole Polytechnique, Université Libre de Bruxelles, 1050 Bruxelles, Belgium

S. Guérin
Institut Carnot de Bourgogne UMR 5209 CNRS, Université de Bourgogne, BP 47870, 21078 Dijon, France

Received 10 June 2008; published 20 August 2008

A physical implementation of the adiabatic Grover search is theoretically investigated in a system of N identical three-level atoms trapped in a single-mode cavity. Some of the atoms are marked through the presence of an energy gap between their two ground states. The search is controlled by two partially delayed lasers which allow a deterministic adiabatic transfer from an initially entangled state to the marked states. Pulse schemes are proposed to satisfy the Grover speedup either exactly or approximately, and the success rate of the search is calculated.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.022330
DOI:
10.1103/PhysRevA.78.022330
PACS:
03.67.Lx, 32.80.Qk, 42.50.−p

*ddaems@ulb.ac.be

sguerin@u-bourgogne.fr