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 …

In this work, we prove that quantum error correcting codes do not fix isotropic errors
(Theorem 5), even assuming that their correction circuits do not introduce new errors. We …

Given an $ m-$ qubit $\Phi_0 $ and an $(n, m)-$ quantum code $\mathcal {C} $, let $\Phi $
be the $ n-$ qubit that results from the $\mathcal {C}-$ encoding of $\Phi_0 $. Suppose that …

The sum of quantum computing errors is the key element both for the estimation and control
of errors in quantum computing and for its statistical study. In this article we analyze the sum …

This book is intended to be an introductory material on topological quantum codes, with the
necessary elements from a mathematical and engineering point of view, aimed at …

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; …

In this paper, hyperbolic geometry is used to constructing new quantum color codes. We use
hyperbolic tessellations and hyperbolic polygons to obtain them by pairing the edges on …

As is already known, the computer-based on quantum properties is very promising.
However, for this to become a reality, it is necessary to overcome great challenges for the …

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 …

This paper presents a hyperbolic geometry approach to the construction of new quantum
color codes. The families of quantum color codes are constructed based on the identification …