Robust fault tolerance for continuous-variable cluster states with excess anti-squeezing

Abstract

The immense scalability of continuous-variable cluster states motivates their study as a platform for quantum computing, with fault tolerance possible given sufficient squeezing and appropriately encoded qubits [Menicucci, PRL 112, 120504 (2014)]. Here, we expand the scope of that result by showing that additional anti-squeezing has no effect on the fault-tolerance threshold, removing the purity requirement for experimental continuous-variable cluster-state quantum computing. We emphasize that the appropriate experimental target for fault-tolerant applications is to directly measure 15-17 dB of squeezing in the cluster state rather than the more conservative upper bound of 20.5 dB.

arXiv comment3 figures, 5 pages

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• Continuous-variable quantum computing in the quantum optical frequency comb
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• Equivalence of approximate Gottesman-Kitaev-Preskill codes
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• Wave-function engineering via conditional quantum teleportation with non-Gaussian entanglement resource
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• Hidden qubit cluster states
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