Realizing repeated quantum error correction in a distance-three surface code

Sebastian Krinner (), Nathan Lacroix, Ants Remm, Agustin Paolo, Elie Genois, Catherine Leroux, Christoph Hellings, Stefania Lazar, Francois Swiadek, Johannes Herrmann, Graham J. Norris, Christian Kraglund Andersen, Markus Müller, Alexandre Blais, Christopher Eichler and Andreas Wallraff
Additional contact information
Sebastian Krinner: ETH Zurich
Nathan Lacroix: ETH Zurich
Ants Remm: ETH Zurich
Agustin Paolo: Université de Sherbrooke
Elie Genois: Université de Sherbrooke
Catherine Leroux: Université de Sherbrooke
Christoph Hellings: ETH Zurich
Stefania Lazar: ETH Zurich
Francois Swiadek: ETH Zurich
Johannes Herrmann: ETH Zurich
Graham J. Norris: ETH Zurich
Christian Kraglund Andersen: ETH Zurich
Markus Müller: RWTH Aachen University
Alexandre Blais: Université de Sherbrooke
Christopher Eichler: ETH Zurich
Andreas Wallraff: ETH Zurich

Nature, 2022, vol. 605, issue 7911, 669-674

Abstract: Abstract Quantum computers hold the promise of solving computational problems that are intractable using conventional methods1. For fault-tolerant operation, quantum computers must correct errors occurring owing to unavoidable decoherence and limited control accuracy2. Here we demonstrate quantum error correction using the surface code, which is known for its exceptionally high tolerance to errors3–6. Using 17 physical qubits in a superconducting circuit, we encode quantum information in a distance-three logical qubit, building on recent distance-two error-detection experiments7–9. In an error-correction cycle taking only 1.1 μs, we demonstrate the preservation of four cardinal states of the logical qubit. Repeatedly executing the cycle, we measure and decode both bit-flip and phase-flip error syndromes using a minimum-weight perfect-matching algorithm in an error-model-free approach and apply corrections in post-processing. We find a low logical error probability of 3% per cycle when rejecting experimental runs in which leakage is detected. The measured characteristics of our device agree well with a numerical model. Our demonstration of repeated, fast and high-performance quantum error-correction cycles, together with recent advances in ion traps10, support our understanding that fault-tolerant quantum computation will be practically realizable.

Date: 2022
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DOI: 10.1038/s41586-022-04566-8

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