Vacuum induced Stark shifts for quantum logic using a collective system in a high quality dispersive cavity
Quantum Physics
2009-11-10 v1
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 CNOT 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.
Cite
@article{arxiv.quant-ph/0411126,
title = {Vacuum induced Stark shifts for quantum logic using a collective system in a high quality dispersive cavity},
author = {A. Gabris and G. S. Agarwal},
journal= {arXiv preprint arXiv:quant-ph/0411126},
year = {2009}
}