Gates for the Kane quantum computer in the presence of dephasing
Charles D. Hill, Hsi‐Sheng Goan · Physical Review A · 2004
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 $8.3\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}5}$. 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.