Abstract

We investigate decoherence effects due to motional degrees of freedom of trapped electronically coded atomic or ionic qubits. For universal single bit rotations implemented with dipole coupling from a near resonant running wave laser, the achievable fidelity is found to depend only on a single parameter characterized by the initial motional state. For two-qubit conditional logic operations inside a high Q optical cavity, we find the popular dark state structure survives even when atomic wave packets are not localized along transverse directions. Our quantitative results provide a useful realistic view for current experimental efforts in quantum logic and computing.

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