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Physical Review A

Investigation of planar Coulomb crystals for quantum simulation and computation

I. M. Buluta, Masanori Kitaoka, Serban Paul Georgescu, Shuji Hasegawa

Published Jun 12, 2008• 27 citations
Publisher

Abstract

Planar Coulomb crystals have been recently proposed for implementing large-scale quantum simulation and computation. We investigate the structure and properties of planar Coulomb crystals in both Penning and rf traps. We also analyze in detail the effects of rf-heating and collisions with background gas and estimate the achievable fidelity of quantum gates. The prospects for the experimental implementation of this quantum computation proposal are discussed.

DOI
10.1103/physreva.77.062320

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Planar Coulomb crystals have been recently proposed for implementing large-scale quantum simulation and computation. We investigate the structure and properties of planar Coulomb crystals in both Penning and rf traps. We also analyze in detail the effects of rf-heating and collisions with background gas and estimate the achievable fidelity of quantum gates. The prospects for the experimental implementation of this quantum computation proposal are discussed.
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We numerically studied two-component planar Coulomb crystals (planar bicrystals) in rf traps. The number of ions in the inner shell was found to be limited by the mass difference between the two components and we calculated the maximum possible number of ions in the inner shells for various mass ratios. When large axial potentials are applied the spatial separation between components depends on the trapping parameters as well as on the ion masses and charges. We derived the spatial separation both theoretically and numerically and discussed its effect on the efficiency of sympathetic cooling and on rf heating. We suggest using planar bicrystals for implementing quantum simulation and computation.
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