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An effective interaction between trapped ions in thermal motion can begenerated by illuminating them simultaneously with a single laser resonant withthe ionic carrier frequency. The ac Stark-shift induces simultaneous `virtual'two-phonon transitions via several motional modes. Within a certain laserintensity range these transitions can interfere constructively, resulting in arelatively fast, heating-resistant two-qubit logic gate.Comment: 4 pages, 3 fig

Light-Shift-Induced Quantum Gates for Ions in Thermal Motion