Vacuum-induced Stark shifts for quantum logic using a collective system in a high-quality dispersive cavity
Abstract
A collective system of atoms in a high-quality cavity can be described by a nonlinear interaction which arises due to the Lamb shift of the energy levels due to the cavity vacuum [Agarwal et al., Phys. Rev. A 56, 2249 (1997)]. We show how this collective interaction can be used to perform quantum logic. In particular we produce schemes to realize controlled-NOT gates not only for two-qubit but also for three-qubit systems. We also discuss realizations of Toffoli gates. Our effective Hamiltonian is also realized in other systems such as trapped ions or magnetic molecules.
Citation
Gabris, A., & Agarwal, G. S. (2005). Vacuum-induced Stark shifts for quantum logic using a collective system in a high-quality dispersive cavity. Physical Review A, 71(5), Article 052316. https://doi.org/10.1103/PhysRevA.71.052316