Arbitrary error detection in a planar lattice of the surface code

ORAL

Abstract

We detect arbitrary single-qubit errors on a system of four superconducting qubits arranged in a planar lattice, amenable to the surface code. The error detection protocol is based on the stabilizer formalism and protects a codeword encoded on an entangled two-qubit state by quantum non-demolition parity measurements, ZZ and XX. These parity measurements are performed using the other two qubits acting as syndromes. We introduce a bit- or phase-flip single-qubit error applied to the codeword and show that this error can be revealed uniquely in the syndromes. The -non-trivial- geometric arrangement of the qubits is essential to the surface code algorithm and is therefore extendable throughout the two-dimensional plane, encoding progressively larger logical Hilbert spaces towards a fully scaled fault-tolerant quantum computer.

*We acknowledge support from IARPA under contract W911NF-10-1-0324

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Authors

  • Antonio Corcoles

    • IBM TJ Watson Research Center
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center

  • Easwar Magesan

    • IBM TJ Watson Research Center, Yorktown Heights NY, USA
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center

  • Srikanth Srinivasan

    • IBM TJ Watson Research Center
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center

  • Nicholas Bronn

    • IBM TJ Watson Research Center
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center

  • Jared Hertzberg

    • IBM TJ Watson Research Center
    • IBM T J Watson Res Ctr

  • Andrew Cross

    • IBM T J Watson Res Ctr
    • IBM T. J. Watson Research Center

  • Matthias Steffen

    • IBM TJ Watson Research Center, Yorktown Heights, NY, USA
    • IBM TJ Watson Research Center
    • IBM TJ Watson Research Center, Yorktown Heights NY, USA
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center
    • IBM

  • Jay Gambetta

    • IBM TJ Watson Research Center, Yorktown Heights, NY, USA
    • IBM TJ Watson Research Center
    • IBM TJ Watson Research Center, Yorktown Heights NY, USA
    • IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA
    • IBM T J Watson Research Center
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center
    • IBM T. J. Watson Research Center

  • Jerry Chow

    • IBM TJ Watson Research Center, Yorktown Heights, NY, USA
    • IBM TJ Watson Research Center
    • IBM TJ Watson Research Center, Yorktown Heights NY, USA
    • IBM T J Watson Res Ctr
    • IBM T.J. Watson Research Center