Duality of quantum and classical error correction codes: Design principles and examples

Z Babar, D Chandra, HV Nguyen… - … Surveys & Tutorials, 2018 - ieeexplore.ieee.org
Quantum error correction codes (QECCs) can be constructed from the known classical
coding paradigm by exploiting the inherent isomorphism between the classical and quantum …

Spatially coupled LDPC codes constructed from protographs

DGM Mitchell, M Lentmaier… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this paper, we construct protograph-based spatially coupled low-density parity-check
(LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner …

Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength

JP Tillich, G Zémor - IEEE Transactions on Information Theory, 2013 - ieeexplore.ieee.org
The current best asymptotic lower bound on the minimum distance of quantum LDPC codes
with a fixed non-zero rate is logarithmic in the blocklength. We propose a construction of …

[หนังสือ][B] Quantum information processing, quantum computing, and quantum error correction: an engineering approach

IB Djordjevic - 2021 - books.google.com
The Second Edition of Quantum Information Processing, Quantum Computing, and Quantum
Error Correction: An Engineering Approach presents a self-contained introduction to all …

Fifteen years of quantum LDPC coding and improved decoding strategies

Z Babar, P Botsinis, D Alanis, SX Ng, L Hanzo - iEEE Access, 2015 - ieeexplore.ieee.org
The near-capacity performance of classical low-density parity check (LDPC) codes and their
efficient iterative decoding makes quantum LDPC (QLPDC) codes a promising candidate for …

Quantum Information Processing, Sensing, and Communications: Their Myths, Realities, and Futures

L Hanzo, Z Babar, Z Cai, D Chandra… - Proceedings of the …, 2025 - ieeexplore.ieee.org
The recent advances in quantum information processing, sensing, and communications are
surveyed with the objective of identifying the associated knowledge gaps and formulating a …

Degeneracy and its impact on the decoding of sparse quantum codes

P Fuentes, JE Martinez, PM Crespo… - IEEE Access, 2021 - ieeexplore.ieee.org
The well-documented capacity-approaching performance of sparse codes in the realm of
classical communications has inspired the search for their quantum counterparts. Sparse …

A decoding algorithm for CSS codes using the X/Z correlations

N Delfosse, JP Tillich - 2014 IEEE International Symposium on …, 2014 - ieeexplore.ieee.org
We propose a simple decoding algorithm for CSS codes taking into account the correlations
between the X part and the Z part of the error. Applying this idea to surface codes, we derive …

Design of quantum LDPC codes from quadratic residue sets

Y **e, J Yuan, QT Sun - IEEE Transactions on Communications, 2018 - ieeexplore.ieee.org
We design classes of quantum low-density paritycheck (LDPC) codes, called quasi-cyclic
stabilizer (QCS) codes, from conventional QC-LDPC codes. The proposed QCS codes …

A family of quantum codes with performances close to the hashing bound under iterative decoding

D Maurice, JP Tillich… - 2013 IEEE International …, 2013 - ieeexplore.ieee.org
We propose here a new construction of quantum codes combining an improved version of a
family of spatially coupled quantum LDPC codes, suggested in [1], with a family of error …