Adiabatic Quantum Search Scheme With Atoms In a Cavity Driven by Lasers

Journal Article · Fri Oct 26 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.170503· OSTI ID:21024348

Daems, D ^[1]; Guerin, S ^[2]

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1. QuIC, Ecole Polytechnique, Universite Libre de Bruxelles, 1050 Brussels (Belgium)
2. Institut Carnot de Bourgogne UMR 5209 CNRS, Universite de Bourgogne, BP 47870, 21078 Dijon (France)

We propose an implementation of the quantum search algorithm of a marked item in an unsorted list of N items by adiabatic passage in a cavity-laser-atom system. We use an ensemble of N identical three-level atoms trapped in a single-mode cavity and driven by two lasers. In each atom, the same level represents a database entry. One of the atoms is marked by having an energy gap between its two ground states. Appropriate time delays between the two laser pulses allow one to populate the marked state starting from an initial entangled state within a decoherence-free adiabatic subspace. The time to achieve such a process is shown to exhibit the {radical}(N) Grover speedup.

• OSTI ID: 21024348
• Journal Information: Physical Review Letters, Vol. 99, Issue 17; Other Information: DOI: 10.1103/PhysRevLett.99.170503; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ENERGY GAP
GROUND STATES
LASERS
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
TIME DELAY