All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code

ORAL

Abstract

The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit within an oscillator is particularly appealing for fault-tolerant quantum computing with bosons because Gaussian operations on encoded Pauli eigenstates enable Clifford quantum computing with error correction. We show that applying GKP error correction to Gaussian input states, such as vacuum, produces distillable magic states, achieving universality without additional non-Gaussian elements. Fault tolerance is possible with sufficient squeezing and low enough external noise. Thus, Gaussian operations are sufficient for fault-tolerant, universal quantum computing given a supply of GKP-encoded Pauli eigenstates.

*R.N.A. is supported by National Science Foundation Grant No. PHY-1630114. A.K. is supported by the Australian Research Council Centre of Excellence for Engineered Quantum Systems (Project No. CE170100009). This work is supported by the Australian Research Council Centre of Excellence for Quantum Computation and Communication Technology (Project No. CE170100012).

–

Presenters

  • Rafael Alexander

    • Center for Quantum Information and Control, Univ of New Mexico
    • Center for Quantum Information and Control, University of New Mexico
    • University of New Mexico

Authors

  • Ben Q Baragiola

    • Center for Quantum Computation and Communication Technology, School of Science, RMIT

  • Giacomo Pantaleoni

    • Center for Quantum Computation and Communication Technology, School of Science, RMIT

  • Rafael Alexander

    • Center for Quantum Information and Control, Univ of New Mexico
    • Center for Quantum Information and Control, University of New Mexico
    • University of New Mexico

  • Angela Karanjai

    • Centre for Engineered Quantum Systems, School of Physics, The University of Sydney

  • Nicolas C Menicucci

    • Center for Quantum Computation and Communication Technology, School of Science, RMIT