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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Topological quantum codes on compact surfaces with genus g >= 2

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Author(s):
Albuquerque, C. D. [1] ; Palazzo, Jr., R. [1] ; Silva, E. B. [2]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Fac Engn Eletr & Comp, Dept Telemat, BR-13083970 Campinas, SP - Brazil
[2] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Physics; v. 50, n. 2 FEB 2009.
Web of Science Citations: 5
Abstract

In this paper we propose a construction procedure of a class of topological quantum error-correcting codes on surfaces with genus g >= 2. 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 K(s), for s equivalent to 1 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. (AU)

FAPESP's process: 02/07473-7 - Geometrically uniform codes in homogeneous spaces
Grantee:Sueli Irene Rodrigues Costa
Support Opportunities: Research Projects - Thematic Grants