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Type: | Artigo |
Title: | Quantum Error-correcting Codes From Algebraic Geometry Codes Of Castle Type Quantum error-correcting codes from algebraic geometry codes of castle type |
Author: | Munuera, Caros Tenório, Wanderson Torres, Fernando |
Abstract: | We study algebraic geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of the examples known in the literature in fact belong to this family of codes. We systematize these constructions by showing the common theory that underlies all of them. We study algebraic geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of the examples known in the literature in fact belong to this family of codes |
Subject: | Quantum Codes Self-orthogonal Codes Algebraic Geometry Codes Castle Codes Trace Codes Códigos corretores de erros (Teoria da informação) Códigos algébricos-geométricos Teoria da codificação |
Country: | Estados Unidos |
Editor: | Springer |
Citation: | Quantum Information Processing. Springer, v. 15, p. 4071 - 4088, 2016. |
Rights: | fechado fechado |
Identifier DOI: | 10.1007/s11128-016-1378-9 |
Address: | https://link.springer.com/article/10.1007/s11128-016-1378-9 |
Date Issue: | 2016 |
Appears in Collections: | IMECC - Artigos e Outros Documentos |
Files in This Item:
File | Size | Format | |
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000383587100008.pdf | 576.61 kB | Adobe PDF | View/Open |
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