Year: 2022
Type: article
Abstract: Encoding logical quantum information in harmonic oscillator modes is a promising and hardwareefficient approach to the realization of a quantum computer.In this work, we propose to encode logical qubits in grid states of an ensemble of harmonic oscillator modes.We first discuss general results about these multimode bosonic codes; how to design them, how to practically implement them in different experimental platforms, and how lattice symmetries can be leveraged to perform logical non-Clifford operations.We then introduce in detail two two-mode grid codes based on the hypercubic and D 4 lattices, respectively, showing how to perform a universal set of logical operations.We demonstrate numerically that multimode grid codes have, compared to their single-mode counterpart, increased robustness against propagation of errors from ancillas used for error correction.Finally, we highlight some interesting links between multidimensional lattices and single-mode grid codes concatenated with qubit codes.
Source: PRX Quantum
Authors: Baptiste Royer, Shraddha Singh, S.M. Girvin
Institution: Yale University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,450
Funder: Army Research Office
Awards: G4962106257, G7452299184
OpenAlex ID: W4220829233