Quantum dynamics of cold trapped ions, with application to quantum computation

Abstract

The theory of interactions between lasers and cold trapped ions as it pertains to the design of Cirac-Zoller quantum computers is discussed. The mean positions of the trapped ions, the eigenvalues and eigenmodes of the ions' oscillations, the magnitude of the Rabi frequencies for both allowed and forbidden internal transitions of the ions and the validity criterion for the required Hamiltonian are calculated. Energy level data for a variety of ion species is also presented.

20 pages, 7 figures, 3 tables

Cited by in corpus (330)

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• Single-ion addressing via trap potential modulation in global optical fields
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• Generalized Hamiltonian to describe imperfections in ion-light interaction
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• Quantum correlations in one-dimensional Wigner molecules
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• Trapped Ion Quantum Computer Research at Los Alamos
• Theory of phonon dynamics in an ion trap
• Individual addressing of ion qubits with counter-propagating optical frequency combs
• Quantum computation with logical gates between hot systems
• The filamented electron bunch of the bubble regime
• Spin Phonon Relaxation Dynamics from a Conical Intersection of Trapped Rydberg Ions
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• Ion crystals in anharmonic traps
• A method of an on-demand beamsplitter for trapped-ion quantum computers
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