Quantum error correction
GG La Guardia - Quantum science and technology. Cham: Springer, 2020 - Springer
Theory of quantum information and computation has been extensively investigated in the
last two decades (see the textbook [121] by Nielsen and Chuang and the references [25, 53 …
last two decades (see the textbook [121] by Nielsen and Chuang and the references [25, 53 …
New quantum surface codes from semi-regular tessellations
EB da Silva, EM Brizola, WS Soares Jr… - Quantum Information …, 2023 - Springer
Current work presents a new approach to quantum surface codes on compact surfaces with
genus g≥ 2 using the identification of these surfaces with hyperbolic polygons and …
genus g≥ 2 using the identification of these surfaces with hyperbolic polygons and …
Euclidean and hyperbolic asymmetric topological quantum codes
CD de Albuquerque, GG La Guardia… - Quantum Information …, 2022 - Springer
In the last three decades, several constructions of quantum error-correcting codes were
presented in the literature. Among these codes, there are the asymmetric ones, ie, quantum …
presented in the literature. Among these codes, there are the asymmetric ones, ie, quantum …
Hyperbolic quantum color codes with normal subgroup structure derived from the Reidemeister–Schreier method
CD Albuquerque, H Lazari, R Palazzo… - … and Applied Mathematics, 2024 - Springer
Given the importance of hyperbolic quantum color codes and Euclidean quantum color
codes, this paper considers the study of the former codes on compact surfaces with …
codes, this paper considers the study of the former codes on compact surfaces with …
On MDS color codes
CD de Albuquerque, VL Vieira, CROQ Queiroz… - Physica A: Statistical …, 2022 - Elsevier
In this note, we show that the unique class of color codes whose parameters attain the
quantum Singleton bound (MDS codes) is the class of [[4 g+ 2, 4 g, 2]] color codes derived …
quantum Singleton bound (MDS codes) is the class of [[4 g+ 2, 4 g, 2]] color codes derived …
Grafos de Emparelhamento de Arestas
HC Silva, C MENDES DE JESUS… - Trends in Computational …, 2023 - SciELO Brasil
Neste trabalho propomos uma nova técnica para verificar se um grafo corresponde a algum
emparelhamento de arestas. Para isso propomos o uso do que intitulamos grafo paralelo; …
emparelhamento de arestas. Para isso propomos o uso do que intitulamos grafo paralelo; …
Construction of quantum codes from new embeddings of graphs on compact surfaces
A Naghipour - Optical and Quantum Electronics, 2020 - Springer
In this paper we introduce a new class of sparse CSS quantum error-correcting codes based
on new orientable self-dual embeddings of graphs. Each code in this class is associated …
on new orientable self-dual embeddings of graphs. Each code in this class is associated …