Tuesday, September 18, 2012

1209.3539 (Austin G. Fowler)

Accurate simulations of planar topological codes cannot use cyclic

Austin G. Fowler
Cyclic boundaries are used in many branches of physics and mathematics, typically to assist the approximation of a large space. We show that when determining the performance of planar, fault-tolerant, topological quantum error correction, using cyclic boundaries leads to a significant underestimate of the logical error rate. We present cyclic and non-cyclic surface code simulations exhibiting this discrepancy, and analytic formulae precisely reproducing and explaining the observed behavior in the limit of low physical error.
View original: http://arxiv.org/abs/1209.3539

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