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arXiv · 0809.5063

The Fibonacci scheme for fault-tolerant quantum computation

Panos Aliferis·John Preskill
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Abstract

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 .67\times 10^{-3} for adversarial local stochastic noise, and 1.25\times 10^{-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.

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Panos Aliferis, John Preskill. 2008-12-17. The Fibonacci scheme for fault-tolerant quantum computation. https://doi.org/10.1103/physreva.79.012332

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