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This paper introduces three key initiatives in the pursuit of a hybrid decoding framework characterized by superior decoding performance, high throughput, low complexity, and independence from channel noise variance. Firstly, adopting a…

Information Theory · Computer Science 2024-02-06 Guangwen Li , Xiao Yu

This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory. Explicit constructions are given for entanglement-assisted quantum…

Information Theory · Computer Science 2012-08-28 Yuichiro Fujiwara , David Clark , Peter Vandendriessche , Maarten De Boeck , Vladimir D. Tonchev

Continuous variable quantum key distribution bears the promise of simple quantum key distribution directly compatible with commercial off the shelf equipment. However, for a long time its performance was hindered by the absence of good…

Quantum Physics · Physics 2025-06-18 Jesus Martinez-Mateo , David Elkouss

Count-Min Sketch (CMS) is a memory-efficient data structure for estimating the frequency of elements in a multiset. Learned Count-Min Sketch (LCMS) enhances CMS with a machine learning model to reduce estimation error under the same memory…

Machine Learning · Computer Science 2025-12-16 Kyosuke Nishishita , Atsuki Sato , Yusuke Matsui

Quantum low-density parity check (qLDPC) codes are among the leading candidates to realize error-corrected quantum memories with low qubit overhead. Potentially high encoding rates and large distance relative to their block size make them…

Quantum Physics · Physics 2025-11-14 Josias Old , Juval Bechar , Markus Müller , Sascha Heußen

Quantum error correction (QEC) is critical for practical realization of fault-tolerant quantum computing, and recently proposed families of quantum low-density parity-check (QLDPC) code are prime candidates for advanced QEC hardware…

Information Theory · Computer Science 2025-03-11 Nithin Raveendran , David Declercq , Bane Vasić

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

For finite coupling lengths, terminated spatially coupled low-density parity-check (SC-LDPC) codes show a non-negligible rate-loss. In this paper, we investigate if this rate loss can be mitigated by tail-biting SC-LDPC codes in conjunction…

Information Theory · Computer Science 2017-04-19 Sebastian Cammerer , Laurent Schmalen , Vahid Aref , Stephan ten Brink

In this work, we propose a fully differentiable iterative decoder for quantum low-density parity-check (LDPC) codes. The proposed algorithm is composed of classical belief propagation (BP) decoding stages and intermediate graph neural…

Quantum Physics · Physics 2026-05-14 Anqi Gong , Sebastian Cammerer , Joseph M. Renes

An efficient decoder is essential for quantum error correction, and data-driven neural decoders have emerged as promising, flexible solutions. Here, we introduce a diffusion model framework to infer logical errors from syndrome measurements…

Quantum Physics · Physics 2025-09-29 Zejun Liu , Anqi Gong , Bryan K. Clark

Efficient information reconciliation is crucial in several scenarios, being quantum key distribution a remarkable example. However, efficiency is not the only requirement for determining the quality of the information reconciliation…

Information Theory · Computer Science 2011-04-01 Jesus Martinez-Mateo , David Elkouss , Vicente Martin

In this study, we investigate the characteristics of scheduling sequences that enable efficient decoding of generalized low-density parity-check (GLDPC) codes under the layered message-passing algorithm. In particular, we show that…

Information Theory · Computer Science 2026-04-28 Qingqing Peng , Dongxu Chang , Guiying Yan , Guanghui Wang

Recently, neural networks have improved MinSum message-passing decoders for low-density parity-check (LDPC) codes by multiplying or adding weights to the messages, where the weights are determined by a neural network. The neural network…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Linfang Wang , Caleb Terrill , Richard Wesel , Dariush Divsalar

Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Check (LDPC) codes, given the same number of message-passing…

Information Theory · Computer Science 2025-06-16 Mohsen Moradi , Sheida Rabeti , Hessam Mahdavifar

We present the Low Density Parity Check (LDPC) forward error correction algorithm adapted for the Quantum Key Distribution (QKD) protocol in a form readily applied by developers. A sparse parity check matrix is required for the LDPC…

Cryptography and Security · Computer Science 2014-04-03 Alan Mink , Anastase Nakassis

We propose a blind watermarking scheme for 3-D meshes which combines sparse quantization index modulation (QIM) with deletion correction codes. The QIM operates on the vertices in rough concave regions of the surface thus ensuring…

Multimedia · Computer Science 2016-11-18 Bata Vasic , Bane Vasic

Low density parity-check (LDPC) codes are a class of linear block codes that are decoded by running belief propagation (BP) algorithm or log-likelihood ratio belief propagation (LLR-BP) over the factor graph of the code. One of the…

Information Theory · Computer Science 2011-07-15 A. Dinesh Kumar , Ambedkar Dukkipati

In many practical communication systems, one binary encoder/decoder pair is used to communicate over a set of parallel channels. Examples of this setup include multi-carrier transmission, rate-compatible puncturing of turbo-like codes, and…

Information Theory · Computer Science 2024-01-25 Christian Häger , Alexandre Graell i Amat , Alex Alvarado , Fredrik Brännström , Erik Agrell

Low complexity decoding algorithms are necessary to meet data rate requirements in excess of 1 Tbps. In this paper, we study one and two bit message passing algorithms for belief propagation decoding of low-density parity-check (LDPC) codes…

Information Theory · Computer Science 2019-10-21 Fabian Steiner , Emna Ben Yacoub , Balazs Matuz , Gianluigi Liva , Alexandre Graell i Amat

In this paper, we propose FusionCIM, an operator-fusion-driven compute-in-memory (CIM) accelerator architecture for efficient and scalable LLM inference, with three key innovations: (1) a hybrid CIM pipeline architecture that maps QKT…

Hardware Architecture · Computer Science 2026-04-29 Zihao Xuan , Jia Chen , Yewen Li , Wei Xuan , Hegan Chen , Xiao Huo , Fengbin Tu