Fast and robust quantum computation with ionic Wigner crystals
Abstract
We present a detailed analysis of the modulated-carrier quantum phase gate implemented with Wigner crystals of ions confined in Penning traps. We elaborate on a recent scheme, proposed by two of the authors, to engineer two-body interactions between ions in such crystals. We analyze for the first time the situation in which the cyclotron (w_c) and the crystal rotation (w_r) frequencies do not fulfill the condition w_c=2w_r. It is shown that even in the presence of the magnetic field in the rotating frame the many-body (classical) Hamiltonian describing small oscillations from the ion equilibrium positions can be recast in canonical form. As a consequence, we are able to demonstrate that fast and robust two-qubit gates are achievable within the current experimental limitations. Moreover, we describe a realization of the state-dependent sign-changing dipole forces needed to realize the investigated quantum computing scheme.
Cite
@article{arxiv.1011.5616,
title = {Fast and robust quantum computation with ionic Wigner crystals},
author = {J. D. Baltrusch and A. Negretti and J. M. Taylor and T. Calarco},
journal= {arXiv preprint arXiv:1011.5616},
year = {2011}
}
Comments
14 pages, 11 figures, published version