@article{ea66e57db9fa43798730d046b92692ea,
title = "An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve",
abstract = "We study entanglement-assisted quantum error-correcting codes (EAQECCs) arising from classical one-point algebraic geometry codes from the Hermitian curve with respect to the Hermitian inner product. Their only unknown parameter is c, the number of required maximally entangled quantum states since the Hermitian dual of an AG code is unknown. In this article, we present an efficient algorithmic approach for computing c for this family of EAQECCs. As a result, this algorithm allows us to provide EAQECCs with excellent parameters over any field size.",
keywords = "Quantum error-correcting code, CSS construction, Entanglement-assisted quantum error-correcting codes, Hermitian code",
author = "Christensen, {Ren{\'e} B{\o}dker} and Carlos Munuera and Pereira, {Francisco Revson F.} and Diego Ruano",
note = "This work was supported in part by Grant PGC2018-096446-B-C21 funded by MCIN/AEI/10.13039/501100011033 and by \ERDF A way of making Europe{"}, by Grant RYC- 2016-20208 funded by MCIN/AEI/10.13039/501100011033 and by \ESF Investing in your future{"}, and by the European Union's Horizon 2020 research and innovation programme, under grant agreement QUARTET No 862644",
year = "2023",
month = feb,
doi = "10.3934/amc.2021072",
language = "English",
volume = "17",
pages = "78--97",
journal = "Advances in Mathematics of Communication",
issn = "1930-5346",
publisher = "American Institute of Mathematical Sciences",
number = "1",
}