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Type: Artigo de periódico
Title: Topological Quantum Codes On Compact Surfaces With Genus G≥2
Author: Albuquerque C.D.
Palazzo R.Jr.
Silva E.B.
Abstract: In this paper we propose a construction procedure of a class of topological quantum error-correcting codes on surfaces with genus g2. This generalizes the toric codes construction. We also tabulate all possible surface codes with genus 2-5. In particular, this construction reproduces the class of codes obtained when considering the embedding of complete graphs Ks, for s1 mod 4, on surfaces with appropriate genus. We also show a table comparing the rate of different codes when fixing the distance to 3-5. © 2009 American Institute of Physics.
Rights: aberto
Identifier DOI: 10.1063/1.3081056
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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