Superconducting electric circuits have now qubits and operations with excellent fidelities. Unfortunately, this is not yet enough for the stringent requirements of quantum computation. To go beyond, one needs to realize quantum error correction. Which is the best way to reach it? Is it first correct errors in individual devices and then scale up or first scale up and then correct errors?

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arXiv:1109.4948 · Nature

Realization of three-qubit quantum error correction with superconducting circuits

M. D. Reed, L. DiCarlo, Simon E. Nigg, Luyan Sun, Luigi Frunzio, S. M. Girvin, R. J. Schoelkopf

Published Jan 31, 2012• 585 citations

arXiv HTML PDF

DOI: 10.1038/nature10786

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451 \pm 70~μ\mathrm{s}

bit-flip lifetime exceeds that of any control qubit in previous demonstrations, with an on-chip Archimedean spiral resonator several orders of magnitude smaller in mode volume than prior 3D cavities. We prepare finite-energy Gottesman-Kitaev-Preskill (GKP) states and stabilize them using measurement-free error correction with rapid fluxonium reset, extending the logical lifetime by a factor of

1.59 \pm 0.05

. These results provide the first demonstration of resonator control using a weakly coupled fluxonium and, with it, the first realization of standalone bosonic QEC in a fully planar superconducting circuit architecture.