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Published in: Quantum Information Processing 11/2023

01-11-2023

New quantum surface codes from semi-regular tessellations

Authors: Eduardo Brandani da Silva, Evandro Mazetto Brizola, Waldir Silva Soares Jr., Douglas Fernando Copatti

Published in: Quantum Information Processing | Issue 11/2023

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Abstract

Current work presents a new approach to quantum surface codes on compact surfaces with genus \(g \ge 2\) using the identification of these surfaces with hyperbolic polygons and hyperbolic semi-regular tessellations. This method generalizes other contructions, and we show that this approach may give rise to codes with very good parameters. We present tables with several examples of these codes whose parameters had not been shown before.

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Metadata
Title
New quantum surface codes from semi-regular tessellations
Authors
Eduardo Brandani da Silva
Evandro Mazetto Brizola
Waldir Silva Soares Jr.
Douglas Fernando Copatti
Publication date
01-11-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-023-04147-2

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