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 …

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 …

Application of classical Hermitian self-orthogonal MDS codes to quantum MDS codes

L **, S Ling, J Luo, C **ng - IEEE Transactions on Information …, 2010 - ieeexplore.ieee.org
In this paper, we first construct several classes of classical Hermitian self-orthogonal
maximum distance separable (MDS) codes. Through these classical codes, we are able to …

Quantum variational learning for quantum error-correcting codes

C Cao, C Zhang, Z Wu, M Grassl, B Zeng - Quantum, 2022 - quantum-journal.org
Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum
computation. In the past two decades, various constructions of quantum error-correcting …

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 …

New quantum MDS codes

GG La Guardia - IEEE transactions on information theory, 2011 - ieeexplore.ieee.org
New Quantum MDS Codes Page 1 IEEE TRANSACTIONS ON INFORMATION THEORY, VOL.
57, NO. 8, AUGUST 2011 5551 New Quantum MDS Codes Giuliano G. La Guardia …

New quantum MDS codes derived from constacyclic codes

L Wang, S Zhu - Quantum Information Processing, 2015 - Springer
Quantum maximum-distance-separable (MDS) codes form an important class of quantum
codes. It is very hard to construct quantum MDS codes with relatively large minimum …

Quantum-error-correcting codes using qudit graph states

SY Looi, L Yu, V Gheorghiu, RB Griffiths - Physical Review A—Atomic …, 2008 - APS
Graph states are generalized from qubits to collections of n qudits of arbitrary dimension D,
and simple graphical methods are used to construct both additive and nonadditive, as well …

Euclidean and Hermitian self-orthogonal algebraic geometry codes and their application to quantum codes

L **, C **ng - IEEE Transactions on information theory, 2011 - ieeexplore.ieee.org
In the present paper, we show that if the dimension of an arbitrary algebraic geometry code
over a finite field of even characteristic is slightly less than n/2-g with n being the length of …

Construction of quantum codes for odd prime power

R Li, Z Xu - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
Construction of [[n,n − 4,3]]q quantum codes for odd prime power q Page 1 PHYSICAL REVIEW
A 82, 052316 (2010) Construction of [[n,n − 4,3]]q quantum codes for odd prime power q Ruihu …