Phys. Rev. A 75, 022301 (2007) [13 pages]Fault-tolerant thresholds for encoded ancillae with homogeneous errorsReceived 7 June 2006; revised 13 November 2006; published 5 February 2007 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 Calderbank-Shor-Steane 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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.022301
DOI:
10.1103/PhysRevA.75.022301
PACS:
03.67.Lx
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