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In this paper we investigate the effect of dephasing on proposed quantumgates for the solid-state Kane quantum computing architecture. Using a simplemodel of the decoherence, we find that the typical error in a CNOT gate is $8.3\times 10^{-5}$. We also compute the fidelities of Z, X, Swap, and Controlled Zoperations under a variety of dephasing rates. We show that these numericalresults are comparable with the error threshold required for fault tolerantquantum computation.Comment: 9 pages, 9 figure

Gates for the Kane quantum computer in the presence of dephasing