%0 Journal Article
%J Physical Review A
%D 2011
%T Fast and robust quantum computation with ionic Wigner crystals
%A J. D. Baltrusch
%A A. Negretti
%A J. M. Taylor
%A T. Calarco
%X 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.
%B Physical Review A
%V 83
%8 2011/4/15
%G eng
%U http://arxiv.org/abs/1011.5616v2
%N 4
%! Phys. Rev. A
%R 10.1103/PhysRevA.83.042319