Abstract
Penning traps provide us with an interesting trapping scheme for quantum computation with trapped ions, since a large number (104 – 106) can be confined by a potential with approximate cylindrical symmetry. If the axial confinement is strong enough, ions arrange themselves in a triangular lattice on a single plane. The appeal of this system lies on the fact that ions are naturally ordered in a 2D regular array, without the need of individual micropotentials. Furthermore, ions are separated by distances of the order of tens of microns, such that they are individually addressable by optical means. Thus, ion Coulomb crystals in Penning traps may appear as ideally suited for quantum computation and quantum simulation. However we face a few problems when trying to implement this idea. First, the complicated vibrational level structure of the 2D crystal makes it difficult to apply here schemes that require resolution of single vibrational modes. Besides that, typical schemes usually rely on the coupling of qubits to vibrational modes in directions parallel to the crystal, which in current experiments are at temperatures that too high for quantum operations.
© 2007 IEEE
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