Gates for the Kane quantum computer in the presence of dephasing

Charles D. Hill and Hsi-Sheng Goan

Phys. Rev. A 70, 022310 – Published 12 August 2004

Abstract

In this paper we investigate the effect of dephasing on proposed quantum gates for the solid-state Kane quantum computing architecture. Using a simple model of the decoherence, we find that the typical error in a controlled-NOT gate is $8.3 \times 10^{- 5}$ . We also compute the fidelities of $Z$ , $X$ , swap, and controlled $Z$ operations under a variety of dephasing rates. We show that these numerical results are comparable with the error threshold required for fault tolerant quantum computation.

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Received 20 October 2003

DOI:https://doi.org/10.1103/PhysRevA.70.022310

Authors & Affiliations

Charles D. Hill^1,* and Hsi-Sheng Goan^2,†,‡

¹Centre for Quantum Computer Technology, and Department of Physics, The University of Queensland, St Lucia, QLD 4072, Australia
²Centre for Quantum Computer Technology, University of New South Wales, Sydney, NSW 2052, Australia

^*Electronic address: hillcd@physics.uq.edu.au
^†Electronic address: goan@physics.uq.edu.au
^‡Mailing address: Centre for Quantum Computer Technology, C/-Dept. of Physics, The University of Queensland, St. Lucia, QLD 4072, Australia.

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Vol. 70, Iss. 2 — August 2004

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