Modelling of electrostatic gate operations in the Kane solid state quantum computer

Abstract

The nuclear spin quantum computer proposed by Kane [Nature 393 (1998) 133] exploits as a qubit array 31P dopants embedded within a silicon matrix. Single-qubit operations are controlled by the application of electrostatic potentials via a set of metallic 'A' gates, situated above the donors, on the silicon surface, that tune the resonance frequency of individual nuclear spins, and a globally applied RF magnetic field that flips spins at resonance. Coupling between qubits is controlled by the application of potentials via a set of 'J' gates, between the donors, that induce an electron-mediated coupling between nuclear spins. We report the results of the study of the electric field and potenti..