Fault-Tolerant Thresholds for Encoded Ancillae with Homogeneous Errors

Details Fault-Tolerant Thresholds for Encoded Ancillae with Homogeneous Errors Fault-Tolerant Thresholds for Encoded Ancillae with Homogeneous Errors

2006-05-22

arxiv.org/abs/quant-ph/0605192v3

Phys. Rev. A, 75, 022301 (2007)

Physics

Quantum Physics

14 pages, 5 figures, 3 tables; v2 minor edits, v3 completely revised, submitted to PRA

Scientific paper

10.1103/PhysRevA.75.022301

I describe a procedure for calculating thresholds for quantum computation as a function of error model given the availability of ancillae prepared in logical states with independent, identically distributed errors. The thresholds are determined via a simple counting argument performed on a single qubit of an infinitely large CSS code. I give concrete examples of thresholds thus achievable for both Steane and Knill style fault-tolerant implementations and investigate their relation to threshold estimates in the literature.

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