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oai:uvadoc.uva.es:10324/401342021-06-24T07:41:10Zcom_10324_32197com_10324_952com_10324_894com_10324_1129com_10324_931col_10324_32199col_10324_1193

Entanglement-assisted quantum error-correcting codes over arbitrary finite fields Galindo, Carlos Hernando, Fernando Matsumoto, Ryutaroh Ruano Benito, Diego We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well. We also give a Gilbert-Varshamov bound for EAQECCs and constructions of EAQECCs coming from punctured self-orthogonal linear codes which are valid for any finite field. 2020-01-13T15:16:33Z 2020-01-13T15:16:33Z 2020-01-13T15:16:33Z 2019 info:eu-repo/semantics/article Quantum Information Processing, 2019, vol. 18, n. 116 1570-0755 http://uvadoc.uva.es/handle/10324/40134 10.1007/s11128-019-2234-5 Quantum Information Processing 18:116 1573-1332 eng https://link.springer.com/article/10.1007/s11128-019-2234-5 info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional