Abstract This paper proposes a scheme for implementing the adiabatic quantum search algorithm of different marked items in an unsorted list of N items with atoms in a cavity driven by lasers. N identical three-level atoms are trapped in a single-mode cavity. Each atom is driven by a set of three pulsed laser fields. In each atom, the same level represents a database entry. Two of the atoms are marked differently. The marked atom has an energy gap between its two ground states. The two different marked states can be sought out respectively starting from an initial entangled state by controlling the ratio of three pulse amplitudes. Moreover, the mechanism, based on adiabatic passage, constitutes a decoherence-free method in the sense that spontaneous emission and cavity damping are avoided since the dynamics follows the dark state. Furthermore, this paper extends the algorithm with m (m>2) atoms marked in an ideal situation. Any different marked state can be sought out.
Received: 16 February 2008
Revised: 21 May 2008
Accepted manuscript online:
PACS:
03.67.Lx
(Quantum computation architectures and implementations)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10574022 and
10575022), and the Funds of Educational Committee of Fujian
Province, China (Grant No JB07043).
Cite this article:
Liu Wen-Wu(刘文武), Li Hong-Cai(李洪才), and Yang Rong-Can(杨榕灿) Implementation of quantum search scheme by adiabatic passage in a cavity--laser--atom system 2009 Chin. Phys. B 18 23
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