Stabilizer quantum codes defined by trace-depending polynomials
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Altres documents de l'autoria: Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego
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Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
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comunitat-uji-handle3:10234/173369
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Stabilizer quantum codes defined by trace-depending polynomialsData de publicació
2022-12-29Editor
ElsevierCita bibliogràfica
GALINDO, Carlos, et al. Stabilizer quantum codes defined by trace-depending polynomials. Finite Fields and Their Applications, 2023, vol. 87, p. 102138.Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-dep ... [+]
Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-depending polynomials (given by a constant plus the trace of a polynomial) and show that this procedure gives rise to stabilizer quantum error-correcting codes with a wider range of lengths than in [18] and with excellent parameters. Namely, we are able to provide new binary records according to [21] and non-binary codes improving the ones available in the literature. [-]
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Finite Fields and Their Applications, Volume 87, March 2023Drets d'accés
© 2022 The Author(s). Published by Elsevier Inc.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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