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Interactions among qubits are essential for performing two-qubit quantumlogic operations. However, nature gives us only nearest neighbor interactionsin simple and controllable settings. Here we propose a strategy to induceinteractions among two atomic entities that are not necessarily neighbors ofeach other through their common coupling with a cavity field. This facilitatesfast multiqubit quantum logic operations through a set of two-qubit operations.The ideas presented here are applicable to various quantum computing proposalsfor atom based qubits such as, trapped ions, atoms trapped in optical cavitiesand optical lattices.Comment: 10 pages, 3 figure

Cavity-mediated long-range interaction for fast multiqubit quantum logic operations