Constructions of new families of nonbinary quantum codes

GG La Guardia - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
Three code constructions generating new families of good nonbinary quantum codes are
presented in this paper. The first two ones are derived from Hermitian self-orthogonal non …

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 …

[HTML][HTML] Constructions of new families of nonbinary CSS codes

GG La Guardia, R Palazzo Jr - Discrete mathematics, 2010 - Elsevier
New families of good q-ary (q is an odd prime power) Calderbank–Shor–Steane (CSS)
quantum codes derived from two distinct classical Bose–Chaudhuri–Hocquenghem (BCH) …

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 …

Topological color codes and two-body quantum lattice Hamiltonians

M Kargarian, H Bombin… - New Journal of …, 2010 - iopscience.iop.org
Topological color codes are among the stabilizer codes with remarkable properties from the
quantum information perspective. In this paper, we construct a lattice, the so-called ruby …

[PDF][PDF] Hyperbolic quantum color codes

WS Soares Jr, EB Da Silva - arXiv preprint arXiv:1804.06382, 2018 - researchgate.net
Current work presents a new approach to quantum color codes on compact surfaces with
genus g≥ 2 using the identification of these surfaces with hyperbolic polygons and …

Hyperbolic geometrically uniform codes and Ungerboeck partitioning on the double torus

EMV Gomes, ED de Carvalho, CAR Martins… - Symmetry, 2022 - mdpi.com
Current research builds labelings for geometrically uniform codes on the double torus
through tiling groups. At least one labeling group was provided for all of the 11 regular …

Generalized toric codes coupled to thermal baths

O Viyuela, A Rivas, MA Martin-Delgado - New Journal of Physics, 2012 - iopscience.iop.org
We have studied the dynamics of a generalized toric code based on qudits at finite
temperature by finding the master equation coupling the code's degrees of freedom to a …

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 …

New classes of topological quantum codes associated with self-dual, quasi self-dual and denser tessellations

CD Albuquerque, R Palazzo, EB Silva - Quantum Information & …, 2010 - dl.acm.org
In this paper we present six classes of topological quantum codes (TQC) on
compactsurfaces with genus g≥ 2. These codes are derived from self-dual, quasi self-dual …