Fibonacci scheme for fault-tolerant quantum computation
Panos Aliferis, John P. Preskill · Physical Review A · 2009
We rigorously analyze Knill's Fibonacci scheme for fault-tolerant quantum computation, which is based on the recursive preparation of Bell states protected by a concatenated error-detecting code. We prove lower bounds on the threshold fault rate of $0.67\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ for adversarial local stochastic noise, and $1.25\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}3}$ for independent depolarizing noise. In contrast to other schemes with comparable proved accuracy thresholds, the Fibonacci scheme has a significantly reduced overhead cost because it uses postselection far more sparingly.