Construction of Controlled-NOT Gate with Thermal Ions

A scheme is proposed to construct the controlled-NOT gate in an ion-trap computer, based on the interaction of trapped-thermal ions with bi-chromatic laser fields. In this scheme, a specific laser pulse sequence for the implementation of this gate is given. Furthermore, it is pointed out that this laser pulse sequence is different from that of Ref.3 Phys. Rev. Lett. 82 (1999) 1971), which cannot result in a real controlled-NOT gate.