A globally controlled qubit ring with no transport auxiliary qubits can run a cyclic stabilizer code, with simulated QEC thresholds around 0.1-0.5%.
Deriving a Fault-Tolerant Threshold for a Global Control Scheme
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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In this paper, adapted from the author's PhD thesis, we present otherwise unpublished results relating to global control schemes, culminating in the calculation of a fault-tolerant threshold for one such scheme.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.
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Quantum error correction with global control
A globally controlled qubit ring with no transport auxiliary qubits can run a cyclic stabilizer code, with simulated QEC thresholds around 0.1-0.5%.