1208.4924 (Alastair Kay)

The Shifting Sands of Quantum Error Correction Thresholds    [PDF]

Alastair Kay

The threshold probability for successful error correction of a quantum system is not a single, absolute value. Not only is it contingent on the noise model, but what the noise model is believed to be. This is exhibited for the 2D Toric code subject to local noise where, via a mapping to the 2D random bond Ising model, suitable thresholds can be established. The analytic calculation is founded on an assumption which is known to give a good approximate result. We also find the first order correction to this result based on renormalisation group calculations, and numerically evaluate lower bounds based on explicitly implementing an error correction strategy.

View original: http://arxiv.org/abs/1208.4924