Qubit-oscillator-based gate implementations for approximate Gottesman-Kitaev-Preskill codes
Year: 2025
Type: preprint
Abstract: We consider hybrid qubit-oscillator systems together with Gaussian, multi-qubit as well as qubit-controlled Gaussian unitaries. We propose implementations of logical gates for approximate Gottesman-Kitaev-Preskill codes in this model using two oscillators and three qubits. We show that these gate implementations become exact in the limit of large squeezing: The logical gate error is upper bounded by a linear function of the squeezing parameter, and depends polynomially on the number of encoded qubits. For certain Cliffords, our constructions overcome a shortcoming of well-known Gaussian implementations which have a constant logical gate error even in the absence of noise.
Source: arXiv (Cornell University)
DOI: 10.1103/x758-5lc2
Authors: Brenner, Lukas, Dias, Beatriz, Koenig, Robert
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083076459
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