Journal article
Quantum Computing with Rotation-Symmetric Bosonic Codes
AL Grimsmo, J Combes, BQ Baragiola
Physical Review X | AMER PHYSICAL SOC | Published : 2020
Abstract
Bosonic rotation codes, introduced here, are a broad class of bosonic error-correcting codes based on phase-space rotation symmetry. We present a universal quantum computing scheme applicable to a subset of this class - number-phase codes - which includes the well-known cat and binomial codes, among many others. The entangling gate in our scheme is code agnostic and can be used to interface different rotation-symmetric encodings. In addition to a universal set of operations, we propose a teleportation-based error-correction scheme that allows recoveries to be tracked entirely in software. Focusing on cat and binomial codes as examples, we compute average gate fidelities for error correction ..
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Grants
Awarded by Australian Research Council
Funding Acknowledgements
We thank Victor Albert, Rafael Alexander, Stephen Bartlett, Andrew Doherty, Giulia Ferrini, Jonathan Gross, Anirudh Krishna, Nicolas Menicucci, Stefanus Edgar Tanuarta, Barbara Terhal, Matthew Scott Winnel, and Pei Zeng for valuable discussions and feedback during the preparation of this manuscript and Dumpling King for providing the environment where it was conceived. This work was supported by the Australian Research Council (ARC) via the Centre of Excellence in Engineered Quantum Systems (EQUS) Project No. CE170100009, the Centre of Excellence in Quantum Computation and Communication Technology (CQC<SUP>2</SUP>T) Project No. CE170100012, and two Discovery Early Career Research Awards (DECRA) Projects No. DE160100356 and No. DE190100380.