Vacuum-induced Stark shifts for quantum logic using a collective system in a high-quality dispersive cavity

Journal Article · Sun May 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.052316· OSTI ID:20717727

Gabris, A ^[1]; Agarwal, G S ^[2]

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1. Research Institute of Solid State Physics and Optics, Hungarian Academy of Sciences, H-1525 Budapest P.O. Box 49 (Hungary)
2. Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078 (United States)

A collective system of atoms in a high-quality cavity can be described by a nonlinear interaction which arises due to the Lamb shift of the energy levels due to the cavity vacuum [Agarwal et al., Phys. Rev. A 56, 2249 (1997)]. We show how this collective interaction can be used to perform quantum logic. In particular we produce schemes to realize controlled-NOT gates not only for two-qubit but also for three-qubit systems. We also discuss realizations of Toffoli gates. Our effective Hamiltonian is also realized in other systems such as trapped ions or magnetic molecules.

• OSTI ID: 20717727
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
CAVITIES
ENERGY LEVELS
HAMILTONIANS
IONS
LAMB SHIFT
MOLECULES
NONLINEAR PROBLEMS
QUANTUM ELECTRODYNAMICS
QUBITS
STARK EFFECT
TRAPPING