Lattice surgery realized on two distance-three repetition codes with superconducting qubits
Nature Physics, vol. 22, pp. 189–194
Abstract
Abstract Quantum error correction is needed for quantum computers to be capable of executing algorithms using hundreds of logical qubits in a fault-tolerant manner. Recent experiments have progressed towards this by demonstrating sufficiently low error rates for state preservation of a single logical qubit. However, quantum computation algorithms also require that these logical qubits can be entangled and that gate operations can be performed on them. Lattice surgery is a technique that offers a practical approach for implementing such gates, particularly in planar quantum processor layouts. Here we demonstrate lattice surgery between two distance-three repetition-code qubits by splitting a single distance-three surface-code qubit. Using a quantum circuit that is fault-tolerant for bit-flip errors, we achieve an improvement in the value of the decoded Z Z logical two-qubit observable compared with a similar non-encoded circuit. We therefore demonstrate the functional building blocks needed for lattice-surgery operations on larger-distance codes based on superconducting circuits.
Authors 14
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Ilya S. Besedin corresponding
Paul Scherrer Institute · ETH Zurich
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
ETH Zurich - PSI Quantum Computing Hub, Paul Scherrer Institute, Villigen, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
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Michael Kerschbaum corresponding
Paul Scherrer Institute · ETH Zurich
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
ETH Zurich - PSI Quantum Computing Hub, Paul Scherrer Institute, Villigen, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
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Paul Scherrer Institute · ETH Zurich
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
ETH Zurich - PSI Quantum Computing Hub, Paul Scherrer Institute, Villigen, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
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Forschungszentrum Jülich · RWTH Aachen University
Affiliation as printed
Institute for Quantum Information, RWTH Aachen University, Aachen, Germany
Institute for Theoretical Nanoelectronics (PGI-2), Forschungszentrum Jülich, Jülich, Germany
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Forschungszentrum Jülich · RWTH Aachen University
Affiliation as printed
Institute for Quantum Information, RWTH Aachen University, Aachen, Germany
Institute for Theoretical Nanoelectronics (PGI-2), Forschungszentrum Jülich, Jülich, Germany
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Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
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Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
-
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
-
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
-
Paul Scherrer Institute · ETH Zurich
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
ETH Zurich - PSI Quantum Computing Hub, Paul Scherrer Institute, Villigen, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
-
Paul Scherrer Institute · ETH Zurich
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
ETH Zurich - PSI Quantum Computing Hub, Paul Scherrer Institute, Villigen, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
-
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
-
Forschungszentrum Jülich · RWTH Aachen University
Affiliation as printed
Institute for Quantum Information, RWTH Aachen University, Aachen, Germany
Institute for Theoretical Nanoelectronics (PGI-2), Forschungszentrum Jülich, Jülich, Germany
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Paul Scherrer Institute · ETH Zurich
Affiliation as printed
Department of Physics, ETH Zurich, Zurich, Switzerland
ETH Zurich - PSI Quantum Computing Hub, Paul Scherrer Institute, Villigen, Switzerland
Quantum Center, ETH Zurich, Zurich, Switzerland
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