Fault-tolerant thresholds for encoded ancillae with homogeneous errors

Bryan Eastin · Physical Review A · 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.

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