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In this paper we propose and analyze a feasible scheme where the detection ofa single scattered photon from two trapped atoms or ions performs a conditionalunitary operation on two qubits. As examples we consider the preparation of allfour Bell states, the reverse operation that is a Bell measurement, and a CNOTgate. We study the effect of atomic motion and multiple scattering, byevaluating Bell inequalities violations, and by calculating the CNOT gatefidelity.Comment: 23 pages, 8 figures in 11 file

Conditional quantum logic using two atomic qubits