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We model repetitive quantum error correction (QEC) with thesingle-error-correcting five-qubit code on a network of individually-controlledqubits with always-on Ising couplings, using our previously designed universalset of quantum gates based on sequences of shaped decoupling pulses. Inaddition to serving as accurate quantum gates, the sequences also providedynamical decoupling (DD) of low-frequency phase noise. The simulation involvesintegrating unitary dynamics of six qubits over the duration of tens ofthousands of control pulses, using classical stochastic phase noise as a sourceof decoherence. The combined DD/QEC protocol dramatically improves thecoherence, with the QEC alone responsible for more than an order of magnitudeinfidelity reduction.

physical review. a/physical review, a

Universal set of Dynamically Protected Gates for Bipartite Qubit  Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error  Correcting Code