Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings

We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP) codes with finite energy, and find that operations designed for ideal infinite-energy codes create undesired entanglement when applied to physically realistic states. We demonstrate that this can be mitigated usi...

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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Rojkov, Ivan, Paul Moser Röggla, Wagener, Martin, Fontboté-Schmidt, Moritz, Welte, Stephan, Home, Jonathan, Reiter, Florentin
Format: Article
Language:English
Subjects:
Entanglement
Error correction
Online Access:Get full text
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Summary:We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP) codes with finite energy, and find that operations designed for ideal infinite-energy codes create undesired entanglement when applied to physically realistic states. We demonstrate that this can be mitigated using recently developed local error-correction protocols, and evaluate the resulting performance. We also propose energy-conserving finite-energy gate implementations which largely avoid the need for further correction.
ISSN:2331-8422
DOI:10.48550/arxiv.2305.05262