%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