New Quantum Burst-Error Correcting Codes from Interleaving Technique

CC Trinca, CD De Albuquerque… - … 2022-2022 IEEE …, 2022 - ieeexplore.ieee.org
Quantum memory is essential for the development of many devices in quantum information
processing, including a synchronization tool that can match the various processes in a …

New three-and four-dimensional toric and burst error-correcting quantum codes

CC Trinca, R Palazzo Jr, RA Watanabe… - Quantum Information …, 2024 - Springer
Ongoing research and experiments have enabled quantum memory to realize the storage of
qubits. On the other hand, interleaving techniques are used to deal with burst of errors …

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 …

On the construction of new toric quantum codes and quantum burst-error-correcting codes

CC Trinca, JC Interlando, R Palazzo Jr… - Quantum Information …, 2023 - Springer
A toric quantum error-correcting code construction procedure is presented in this work. A
new class of an infinite family of toric quantum codes is provided by constructing a classical …

ON THE CONSTRUCTION OF PERFECT CODES FOR -DIMENSIONAL INTERLEAVING

CC Trinca, RP Junior - International Journal of Applied Mathematics, 2021 - diogenes.bg
The authors propose an $ n $-dimensional interleaving technique which spreads a cluster of
errors having a quasicircular shape. Consequently simple one-dimensional random-error …

Characterization of -Dimensional Toric and Burst-Error-Correcting Quantum Codes from Lattice Codes

CC Trinca, R Palazzo Jr, JC Interlando… - arXiv preprint arXiv …, 2024 - arxiv.org
Quantum error correction is essential for the development of any scalable quantum
computer. In this work we introduce a generalization of a quantum interleaving method for …

[图书][B] Quantum Codes for Topological Quantum Computation

CD de Albuquerque, EB da Silva, WS Soares - 2022 - Springer
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 …

Toric surfaces, linear and quantum codes: secret sharing and decoding

JP Hansen - Facets of Algebraic Geometry: A Collection in Honor …, 2022 - books.google.com
Toric surfaces, linear and quantum codes: secret sharing and decoding Page 386 13 Toric
Surfaces, Linear and Quantum Codes Secret Sharing and Decoding a Johan P. Hansen In …

Quantum codes from toric surfaces

JP Hansen - IEEE transactions on information theory, 2012 - ieeexplore.ieee.org
A theory for constructing quantum error correcting codes from Toric surfaces by the
Calderbank-Shor-Steane method is presented. In particular, we study the method on toric …

New classes of quantum codes on closed orientable surfaces

A Naghipour - Cryptography and Communications, 2019 - Springer
In this paper we construct two classes of binary quantum error-correcting codes on closed
orientable surfaces. These codes are derived from self-dual orientable embeddings of …