Demonstrating multi-round subsystem quantum error correction using matching and maximum likelihood decoders

Neereja Sundaresan (), Theodore J. Yoder (), Youngseok Kim, Muyuan Li, Edward H. Chen, Grace Harper, Ted Thorbeck, Andrew W. Cross, Antonio D. Córcoles and Maika Takita
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Neereja Sundaresan: IBM T.J. Watson Research Center
Theodore J. Yoder: IBM T.J. Watson Research Center
Youngseok Kim: IBM T.J. Watson Research Center
Muyuan Li: IBM T.J. Watson Research Center
Edward H. Chen: IBM Almaden Research Center
Grace Harper: IBM T.J. Watson Research Center
Ted Thorbeck: IBM T.J. Watson Research Center
Andrew W. Cross: IBM T.J. Watson Research Center
Antonio D. Córcoles: IBM T.J. Watson Research Center
Maika Takita: IBM T.J. Watson Research Center

Nature Communications, 2023, vol. 14, issue 1, 1-13

Abstract: Abstract Quantum error correction offers a promising path for performing high fidelity quantum computations. Although fully fault-tolerant executions of algorithms remain unrealized, recent improvements in control electronics and quantum hardware enable increasingly advanced demonstrations of the necessary operations for error correction. Here, we perform quantum error correction on superconducting qubits connected in a heavy-hexagon lattice. We encode a logical qubit with distance three and perform several rounds of fault-tolerant syndrome measurements that allow for the correction of any single fault in the circuitry. Using real-time feedback, we reset syndrome and flag qubits conditionally after each syndrome extraction cycle. We report decoder dependent logical error, with average logical error per syndrome measurement in Z(X)-basis of ~0.040 (~0.088) and ~0.037 (~0.087) for matching and maximum likelihood decoders, respectively, on leakage post-selected data.

Date: 2023
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DOI: 10.1038/s41467-023-38247-5

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