A Simple Scheme for Two-Qubit Grover Search in Hot Trapped Ions

An alternative simple scheme is proposed to implement the two-qubit Grover search algorithm in trapped ions by applying a single standing-wave laser pulse during the two-qubit operation. The scheme is insensitive to the heating of vibrational motion, which is important in view of decoherence. Moreover a third auxiliary internal electronic state is eliminated, and the qubit definitions are the same for both ions, which makes the experiment easier and simpler.