Rotor codes & cos(Nφ) qubits

ORAL

Abstract

We re-examine rotor codes, quantum error-correcting codes on a compact phase variable with N-fold rotational symmetry. These connect to superconducting qubits with cos(Nφ) potentials, generalizing the transmon (N = 1) and cos(2φ) qubit (N = 2). We analyze their gate structure, error propagation, and code distance. We show that such codes suggest new minimum uncertainty states are intimately connected to good qubits and good rotor codes.

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Presenters

  • Eli J Weissler

    • University of Colorado, Boulder

Authors

  • Eli J Weissler

    • University of Colorado, Boulder

  • Thomas B Smith

    • Yale University

  • zhenxing liu

    • University of Colorado, Boulder

  • Jinhua Zhang

    • University of Colorado, Boulder

  • Ben Q Baragiola

    • Xanadu Quantum Technologies

  • Arne L Grimsmo

    • AWS Center for Quantum Computing

  • Joshua Combes

    • The University of Melbourne