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It is not so well-known that measurement-free quantum error correction protocols can be designed to achieve fault-tolerant quantum computing. Despite the potential advantages of using such protocols in terms of the relaxation of accuracy,…

Quantum Physics · Physics 2010-09-02 Gerardo A. Paz-Silva , Gavin K. Brennen , Jason Twamley

Reliability is an important requirement for both communication and storage systems. Due to continuous scale down of technology multiple adjacent bits error probability increases. The data may be corrupted due soft errors. Error correction…

Hardware Architecture · Computer Science 2020-02-19 Sayan Tripathi , Jhilam Jana , Jaydeb Bhaumik

DeepPolar codes have recently emerged as a promising approach for channel coding, demonstrating superior bit error rate (BER) performance compared to conventional polar codes. Despite their excellent BER characteristics, these codes exhibit…

Information Theory · Computer Science 2025-06-13 Shubham Srivastava , Adrish Banerjee

Multi-hop networks become popular network topologies in various emerging Internet of things applications. Batched network coding (BNC) is a solution to reliable communications in such networks with packet loss. By grouping packets into…

Information Theory · Computer Science 2023-07-26 Hoover H. F. Yin , Shenghao Yang , Qiaoqiao Zhou , Lily M. L. Yung , Ka Hei Ng

In the shallow sub-threshold regime, fault-tolerant quantum computation requires a tremendous amount of qubits. In this paper, we study the error correction in the deep sub-threshold regime. We estimate the physical error rate for achieving…

Quantum Physics · Physics 2020-09-22 Dawei Jiao , Ying Li

Effective Capacity (EC) indicates the maximum communication rate subject to a certain delay constraint while effective energy efficiency (EEE) denotes the ratio between EC and power consumption. In this paper, we analyze the EEE of…

Information Theory · Computer Science 2018-01-30 Mohammad Shehab , Endrit Dosti , Hirley Alves , Matti Latva-aho

Current optical coherent transponders technology is driving data rates towards 1 Tb/s/{\lambda}and beyond. This trend requires both high-performance coded modulation schemes and efficient implementation of the forward-error-correction (FEC)…

Signal Processing · Electrical Eng. & Systems 2020-07-15 Gabriele Liga , Bin Chen , Sjoerd van der Heide , Alireza Sheikh , Menno van der Hout , Chigo Okonkwo , Alex Alvarado

This paper describes an efficient implementation of binning for the relay channel using low-density parity-check (LDPC) codes. We devise bilayer LDPC codes to approach the theoretically promised rate of the decode-and-forward relaying…

Information Theory · Computer Science 2016-11-17 Peyman Razaghi , Wei Yu

Approaching capacity with low complexity is a very challenging task. In this paper, we review and compare three promising coding solutions to achieve that, which are suitable for future very high-throughput, low-complexity optical…

Information Theory · Computer Science 2019-09-20 Alexandre Graell i Amat , Gianluigi Liva , Fabian Steiner

Channel coding is vital for reliable sixth-generation (6G) data transmission, employing diverse error correction codes for various application scenarios. Traditional decoders require dedicated hardware for each code, leading to high…

Information Theory · Computer Science 2025-10-31 Yongli Yan , Jieao Zhu , Tianyue Zheng , Zhuo Xu , Chao Jiang , Linglong Dai

In this paper, we propose a methodology to compute the optimal finite-length coding rate for random linear network coding schemes over a line network. To do so, we first model the encoding, reencoding, and decoding process of different…

Networking and Internet Architecture · Computer Science 2018-05-16 Tan Do-Duy , M. Ángeles Vázquez-Castro

Consider the problem of identifying a massive number of bees, uniquely labeled with barcodes, using noisy measurements. We formally introduce this `bee-identification problem', define its error exponent, and derive efficiently computable…

Information Theory · Computer Science 2019-06-05 Anshoo Tandon , Vincent Y. F. Tan , Lav R. Varshney

Cooperative beamforming (CB) has been proposed as a special case of coordinated multi-point techniques in wireless communications. In wireless sensor networks, CB can enable low power communication by allowing a collection of sensor nodes…

Information Theory · Computer Science 2015-10-29 Spyridon Vassilaras , George C. Alexandropoulos , Antonis A. Kalis

The word error rate (WER) of soft-decision-decoded binary block codes rarely has closed-form. Bounding techniques are widely used to evaluate the performance of maximum-likelihood decoding algorithm. But the existing bounds are not tight…

Information Theory · Computer Science 2015-03-13 Xiaogang Chen , Hongwen Yang , Jian Gu , Hongkui Yang

We present two sequences of ensembles of non-systematic irregular repeat-accumulate codes which asymptotically (as their block length tends to infinity) achieve capacity on the binary erasure channel (BEC) with bounded complexity per…

Information Theory · Computer Science 2007-07-13 H. Pfister , I. Sason , R. Urbanke

We derive bounds on the asymptotic density of parity-check matrices and the achievable rates of binary linear block codes transmitted over memoryless binary-input output-symmetric (MBIOS) channels. The lower bounds on the density of…

Information Theory · Computer Science 2007-07-13 Gil Wiechman , Igal Sason

We review the recently introduced soft-aided bit-marking (SABM) algorithm and its suitability for product codes. Some aspects of the implementation of the SABM algorithm are discussed. The influence of suboptimal channel soft information is…

Information Theory · Computer Science 2020-06-05 Alex Alvarado , Gabriele Liga , Yi Lei , Bin Chen , Alexios Balatsoukas-Stimming

The goal of semantic communication is to surpass optimal Shannon's criterion regarding a notable problem for future communication which lies in the integration of collaborative efforts between the intelligence of the transmission source and…

Information Theory · Computer Science 2023-10-03 Xinchao Zhong , Sean Longyu Ma , Hong-fu Chou , Arsham Mostaani , Thang X. Vu , Symeon Chatzinotas

There is a fundamental limitation in the prediction performance that a machine learning model can achieve due to the inevitable uncertainty of the prediction target. In classification problems, this can be characterized by the Bayes error,…

Machine Learning · Computer Science 2023-03-14 Takashi Ishida , Ikko Yamane , Nontawat Charoenphakdee , Gang Niu , Masashi Sugiyama

Protograph-based low-density parity-check Hadamard codes (PLDPC-HCs) are a new type of ultimate-Shannon-limit-approaching codes. In this paper, we propose a hardware architecture for the PLDPC-HC layered decoders. The decoders consist…

Information Theory · Computer Science 2022-08-22 Peng W. Zhang , Francis C. M. Lau , Chiu-W. Sham