Constructions of good entanglement-assisted quantum error correcting codes

K Guenda, S Jitman, TA Gulliver - Designs, Codes and Cryptography, 2018 - Springer
Entanglement-assisted quantum error correcting codes (EAQECCs) are a simple and
fundamental class of codes. They allow for the construction of quantum codes from classical …

Constacyclic codes and some new quantum MDS codes

X Kai, S Zhu, P Li - IEEE Transactions on Information Theory, 2014 - ieeexplore.ieee.org
One central theme in quantum error-correction is to construct quantum codes that have a
large minimum distance. Quantum maximal distance separable (MDS) codes are optimal in …

Application of constacyclic codes to quantum MDS codes

B Chen, S Ling, G Zhang - IEEE Transactions on Information …, 2015 - ieeexplore.ieee.org
Quantum maximum-distance-separable (MDS) codes form an important class of quantum
codes. To get q-ary quantum MDS codes, one of the effective ways is to find linear MDS …

New quantum MDS codes from negacyclic codes

X Kai, S Zhu - IEEE Transactions on Information Theory, 2012 - ieeexplore.ieee.org
Let q be an odd prime power. Based on classical negacyclic codes, we construct two
classes of quantum maximum-distance-separable (MDS) codes with parameters [[q 2+ 1, q 2 …

On the hull-variation problem of equivalent linear codes

H Chen - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
The intersection () of a linear code and its Euclidean dual (Hermitian dual) is called the
Euclidean (Hermitian) hull of this code. It is natural to consider the hull-variation problem …

Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement

C Galindo, F Hernando, D Ruano - Quantum Information Processing, 2015 - Springer
New stabilizer codes with parameters better than the ones available in the literature are
provided in this work, in particular quantum codes with parameters 127, 63, ≥ 12 _2 127 …

A construction of new quantum MDS codes

L **, C **ng - IEEE transactions on information theory, 2014 - ieeexplore.ieee.org
It has been a great challenge to construct new quantum maximum-distance-separable
(MDS) codes. In particular, it is very hard to construct the quantum MDS codes with relatively …

Constructions of q-ary entanglement-assisted quantum MDS codes with minimum distance greater than q+ 1

J Fan, H Chen, J Xu - arxiv preprint arxiv:1602.02235, 2016 - arxiv.org
The entanglement-assisted stabilizer formalism provides a useful framework for constructing
quantum error-correcting codes (QECC), which can transform arbitrary classical linear codes …

[HTML][HTML] New entanglement-assisted quantum codes from k-Galois dual codes

X Liu, L Yu, P Hu - Finite Fields and Their Applications, 2019 - Elsevier
Entanglement-assisted quantum error-correcting (EAQEC, for short) codes use pre-existing
entanglements between the sender and receiver to boost the rate of transmission. It is …

Quantum codes of maximal distance and highly entangled subspaces

F Huber, M Grassl - Quantum, 2020 - quantum-journal.org
We present new bounds on the existence of general quantum maximum distance separable
codes (QMDS): the length $ n $ of all QMDS codes with local dimension $ D $ and distance …