Universal quantum computation with two-level trapped ions - art. no. 012306

Although the initial proposal for ion trap quantum computation made use of an auxiliary internal level to perform logic between ions, this resource is not necessary in principle. Instead, one may perform such operations direc tly using sideband laser pulses, operating with an arbitrary (sufficiently small) Lamb-Dicke parameter. We explore the potential of this technique, sh owing how to perform logical operations between the internal state of an io n and the collective motional state and giving explicit constructions for a controlled-Nor gate between ions.