Deriving a Fault-Tolerant Threshold for a Global Control Scheme

Abstract

In this paper, adapted from the author's PhD thesis, we present otherwise unpublished results relating to global control schemes, culminating in the calculation of a fault-tolerant threshold for one such scheme. As with early fault-tolerant threshold results, the aim is to calculate a positive number, not to optimise it. We also discuss how the results might affect other related schemes, such as those based on cellular automata.

21 pages, 15 figures, 3 tables v2: reference added