{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,26]],"date-time":"2026-08-26T15:53:58Z","timestamp":1787759638519,"version":"build-2784847793"},"reference-count":29,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,12,24]],"date-time":"2022-12-24T00:00:00Z","timestamp":1671840000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["201223\/2018-0"],"award-info":[{"award-number":["201223\/2018-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["862644"],"award-info":[{"award-number":["862644"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000780","name":"European Union\u2019s Horizon 2020 research and innovation programme","doi-asserted-by":"publisher","award":["201223\/2018-0"],"award-info":[{"award-number":["201223\/2018-0"]}],"id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000780","name":"European Union\u2019s Horizon 2020 research and innovation programme","doi-asserted-by":"publisher","award":["862644"],"award-info":[{"award-number":["862644"]}],"id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer formalism. In this paper, we provide a general method to construct EAQEC codes from cyclic codes. Afterwards, the method is applied to Reed\u2013Solomon codes, BCH codes, and general cyclic codes. We use the Euclidean and Hermitian construction of EAQEC codes. Three families have been created: two families of EAQEC codes are maximal distance separable (MDS), and one is almost MDS or almost near MDS. The comparison of the codes in this paper is mostly based on the quantum Singleton bound.<\/jats:p>","DOI":"10.3390\/e25010037","type":"journal-article","created":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T04:42:47Z","timestamp":1672116167000},"page":"37","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Entanglement-Assisted Quantum Codes from Cyclic Codes"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5638-6334","authenticated-orcid":false,"given":"Francisco Revson F.","family":"Pereira","sequence":"first","affiliation":[{"name":"IQM Quantum Computers, Nymphenburger Str. 86, 80636 Munich, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3797-3987","authenticated-orcid":false,"given":"Stefano","family":"Mancini","sequence":"additional","affiliation":[{"name":"School of Science and Technology, University of Camerino, I-62032 Camerino, Italy"},{"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, I-06123 Perugia, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Nielsen, M.A., and Chuang, I.L. 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