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Quantum cryptography via key distribution mechanisms that utilize quantum entanglement between sender-receiver pairs will form the basis of future large-scale quantum networks. A key engineering challenge in such networks will be the…

Information Theory · Computer Science 2015-05-14 Yixuan Xie , Jun Li , Robert Malaney , Jinhong Yuan

Bit-interleaved coded modulation (BICM) has attracted considerable attention from the research community in the past three decades, because it can achieve desirable error performance with relatively low implementation complexity for a large…

Information Theory · Computer Science 2022-10-28 Yi Fang , Pingping Chen , Yong Liang Guan , Francis C. M. Lau , Yonghui Li , Guanrong Chen

Achieving high image quality is an important aspect in an increasing number of wireless multimedia applications. These applications require resource efficient error correction hardware to detect and correct errors introduced by the…

Information Theory · Computer Science 2013-08-02 Vikram Arkalgud Chandrasetty , Syed Mahfuzul Aziz

Recently, we introduced a new class of finite alphabet iterative decoders (FAIDs) for low-density parity-check (LDPC) codes. These decoders are capable of surpassing belief propagation in the error floor region on the Binary Symmetric…

Information Theory · Computer Science 2016-11-17 David Declercq , Bane Vasic , Shiva Kumar Planjery , Erbao Li

Quantum error correction (QEC) is critical for scalable fault-tolerant quantum computing. Topological codes, such as the toric code, offer hardware-efficient architectures but their Tanner graphs contain many girth-4 cycles that degrade the…

Quantum Physics · Physics 2026-03-24 Luca Menti , Francisco Lázaro

Soft forward error correction with higher-order modulations is often implemented in practice via the pragmatic bit-interleaved coded modulation paradigm, where a single binary code is mapped to a nonbinary modulation. In this paper, we…

Information Theory · Computer Science 2014-06-13 Christian Häger , Alexandre Graell i Amat , Fredrik Brännström , Alex Alvarado , Erik Agrell

Efficient decoding is crucial to high-throughput and power-sensitive wireless communication scenarios. A theoretical analysis of the performance-complexity tradeoff toward low-complexity decoding is required for a better understanding of…

Information Theory · Computer Science 2025-11-12 Qingqing Peng , Dawei Yin , Dongxu Chang , Yuan Li , Huazi Zhang , Guiying Yan , Guanghui Wang

Polar encoding, described by Arikan in IEEE Transactions on Information Theory, Vol. 55, No. 7, July 2009, was a milestone for telecommunications. A Polar code distributes information among high and low-capacity channels, showing the…

Information Theory · Computer Science 2025-07-29 Geraldo A. Barbosa

Powerful Forward Error Correction (FEC) schemes are used in optical communications to achieve bit-error rates below $10^{-15}$. These FECs follow one of two approaches: concatenation of simpler hard-decision codes or usage of inherently…

Hardware Architecture · Computer Science 2017-09-01 Carlo Condo , Pascal Giard , François Leduc-Primeau , Gabi Sarkis , Warren J. Gross

Binary linear block codes (BLBCs) are essential to modern communication, but their diverse structures often require tailor-made decoders, increasing complexity. This work introduces enhanced polar decoding ($\mathsf{PD}^+$), a universal…

Information Theory · Computer Science 2025-05-16 Chien-Ying Lin , Yu-Chih Huang , Shin-Lin Shieh , Po-Ning Chen

Information reconciliation is a crucial procedure in the classical post-processing of quantum key distribution (QKD). Poor reconciliation efficiency, revealing more information than strictly needed, may compromise the maximum attainable…

Quantum Physics · Physics 2013-01-30 Jesus Martinez-Mateo , David Elkouss , Vicente Martin

Quantum error correction (QEC) is essential for enabling quantum advantages, with decoding as a central algorithmic primitive. Owing to its importance and intrinsic difficulty, substantial effort has been made to QEC decoder design, among…

Quantum Physics · Physics 2026-05-13 Ge Yan , Shanchuan Li , Yuxuan Du

As quantum computing moves toward fault-tolerant architectures, quantum error correction (QEC) decoder performance is increasingly critical for scalability. Understanding the impact of transitioning from floating-point software to…

Quantum Physics · Physics 2026-04-22 Francisco Garcia-Herrero , Javier Valls , Llanos Vergara-Picazo , Vicente Torres

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels under the low-complexity successive-cancellation flip (SCF) decoding algorithm. However, the SCF decoding algorithm has a variable…

Information Theory · Computer Science 2024-09-06 Ilshat Sagitov , Charles Pillet , Pascal Giard

Fault tolerance in quantum protocols requires contributions from error-correcting codes and their suitable decoders. Quantum Low-Density Parity Check (QLDPC) codes are one of the most explored quantum codes that have good coding rate and…

Quantum Physics · Physics 2026-04-24 Mainak Bhattacharyya , Ankur Raina

The error floor phenomenon observed with LDPC codes and their graph-based, iterative, message-passing (MP) decoders is commonly attributed to the existence of error-prone substructures -- variously referred to as near codewords, trapping…

Information Theory · Computer Science 2013-09-11 Xiaojie Zhang , Paul H. Siegel

Quantum low-density parity-check (QLDPC) codes have emerged as a promising technique for quantum error correction. A variety of decoders have been proposed for QLDPC codes and many of them utilize belief propagation (BP) decoding in some…

Information Theory · Computer Science 2024-06-25 Hanwen Yao , Waleed Abu Laban , Christian Häger , Alexandre Graell i Amat , Henry D. Pfister

We address photon-number-assisted, polarization- based, binary communication systems equipped with photon counting receivers. In these channels information is encoded in the value of polarization phase-shift but the carrier has and…

Polar codes are a recently proposed class of block codes that provably achieve the capacity of various communication channels. They received a lot of attention as they can do so with low-complexity encoding and decoding algorithms, and they…

Finite alphabet iterative decoders (FAID) with multilevel messages that can surpass BP in the error floor region for LDPC codes on the BSC were previously proposed. In this paper, we propose decimation-enhanced decoders. The technique of…

Information Theory · Computer Science 2011-03-07 Shiva Kumar Planjery , Bane Vasic , David Declercq