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

Fuente: arXiv
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Auteurs principaux: Rojkov, Ivan, Röggla, Paul Moser, Wagener, Martin, Fontboté-Schmidt, Moritz, Welte, Stephan, Home, Jonathan, Reiter, Florentin
Format: Preprint
Publié: 2023
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author Rojkov, Ivan
Röggla, Paul Moser
Wagener, Martin
Fontboté-Schmidt, Moritz
Welte, Stephan
Home, Jonathan
Reiter, Florentin
author_facet Rojkov, Ivan
Röggla, Paul Moser
Wagener, Martin
Fontboté-Schmidt, Moritz
Welte, Stephan
Home, Jonathan
Reiter, Florentin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2305_05262
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings
Rojkov, Ivan
Röggla, Paul Moser
Wagener, Martin
Fontboté-Schmidt, Moritz
Welte, Stephan
Home, Jonathan
Reiter, Florentin
Quantum Physics
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.
title Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings
topic Quantum Physics
url https://arxiv.org/abs/2305.05262