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Low-density parity-check (LDPC) codes have been used for communication over a two-user Gaussian broadcast channel. It has been shown in the literature that the optimal decoding of such system requires joint decoding of both user messages at…

Information Theory · Computer Science 2016-11-18 Mahdi Ramezani , Masoud Ardakani

This paper considers density evolution for lowdensity parity-check (LDPC) and multi-edge type low-density parity-check (MET-LDPC) codes over the binary input additive white Gaussian noise channel. We first analyze three singleparameter…

Information Theory · Computer Science 2016-05-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Gottfried Lechner , Sarah J. Johnson

Information Reconciliation is a critical component of Quantum Key Distribution, ensuring that mismatches between Alice's and Bob's keys are corrected. In this study, we analyze, simulate, optimize, and compare the performance of two…

In this paper, we focus on decoding nonbinary low-density parity-check (LDPC) codes in Galois fields of characteristic two via the proximal alternating direction method of multipliers (proximal-ADMM). By exploiting…

Information Theory · Computer Science 2022-01-04 Yongchao Wang , Jing Bai

The decoding throughput in the postprocessing is one of the bottlenecks for a continuous-variable quantum key distribution (CV-QKD) system. In this paper, we propose a layered decoder to decode quasi-cyclic multi-edge type LDPC (QC-METLDPC)…

Quantum Physics · Physics 2020-04-21 Yang Li , Xiaofang Zhang , Yong Li , Bingjie Xu , Li Ma , Jie Yang , Wei Huang

Algorithms are presented that efficiently shape the parity bits of systematic irregular repeat-accumulate (IRA) low-density parity-check (LDPC) codes by following the sequential encoding order of the accumulator. Simulations over additive…

Information Theory · Computer Science 2025-08-28 Diego Lentner , Thomas Wiegart , Richard D. Wesel

This paper investigates the design of low-complexity error correction codes for the verification step in continuous variable quantum key distribution (CVQKD) systems. We design new coding schemes based on quasi-cyclic repeat-accumulate…

Information Theory · Computer Science 2015-10-14 Sarah J. Johnson , Vikram A. Chandrasetty , Andrew M. Lance

Low-density parity-check (LDPC) codes with the parity-based approach for distributed joint source channel coding (DJSCC) with decoder side information is described in this paper. The parity-based approach is theoretical limit achievable.…

Information Theory · Computer Science 2014-04-10 Feng Cen

We propose a method for extracting an errorless secret key in a continuous-variable quantum key distribution protocol, which is based on Gaussian modulation of coherent states and homodyne detection. The crucial feature is an…

Quantum Physics · Physics 2009-11-13 Anthony Leverrier , Romain Alléaume , Joseph Boutros , Gilles Zémor , Philippe Grangier

Continuous-variable quantum key distribution utilizes an ensemble of coherent states of light to distribute secret encryption keys between two parties. One of the challenges is thereby the requirement of capacity approaching error…

Information Theory · Computer Science 2021-06-30 Hossein Mani , Tobias Gehring , Christoph Pacher , Ulrik Lund Andersen

In this paper, we report an encoding and decoding method for irregular-quasic-cyclic low-density parity-check (IR-QC-LDPC) codes with multi rates. The algorithm is applicable to parity-check matrices which have dual-diagonal parity…

Information Theory · Computer Science 2019-10-31 Kun Cheng , Qiming Lu , Hongbo Xie , Qi Shen , Shengkai Liao , Chengzhi Peng

In this paper, two-user Gaussian interference channel(GIC) is revisited with the objective of developing implementable (explicit) channel codes. Specifically, low density parity check (LDPC) codes are adopted for use over these channels,…

Information Theory · Computer Science 2013-11-01 Shahrouz Sharifi , Tolga M. Duman

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

Information reconciliation is crucial for continuous-variable quantum key distribution (CV-QKD) because its performance affects the secret key rate and maximal secure transmission distance. Fixed-rate error correction codes limit the…

Quantum Physics · Physics 2019-11-11 Chao Zhou , Xiangyu Wang , Yi-Chen Zhang , Zhiguo Zhang , Song Yu , Hong Guo

In this paper we consider the lossy compression of a binary symmetric source. We present a scheme that provides a low complexity lossy compressor with near optimal empirical performance. The proposed scheme is based on b-reduced…

Information Theory · Computer Science 2016-11-18 Alfredo Braunstein , Farbod Kayhan , Riccardo Zecchina

We designed high-efficiency error correcting codes allowing to extract an errorless secret key in a continuous-variable quantum key distribution protocol using a Gaussian modulation of coherent states and a homodyne detection. These codes…

Quantum Physics · Physics 2015-05-30 Paul Jouguet , Sébastien Kunz-Jacques , Anthony Leverrier

Error correction plays a major role in the reconciliation of continuous variable quantum key distribution (CV-QKD) and greatly affects the performance of the system. CV-QKD requires error correction codes of extremely low rates and high…

Information Theory · Computer Science 2021-07-14 Kadir Gümüs , Laurent Schmalen

The information reconciliation in a quantum key distribution protocol can be studied separately from other steps in the protocol. The problem of information reconciliation can be reduced to that of distributed source coding. Its solution by…

Information Theory · Computer Science 2009-09-13 Ryutaroh Matsumoto

In this paper, we present an efficient algorithm to sample random sparse matrices to be used as check matrices for quantum Low-Density Parity-Check (LDPC) codes. To ease the treatment, we mainly describe our algorithm as a technique to…

Information Theory · Computer Science 2026-01-27 Paolo Santini

An efficient error reconciliation scheme is important for post-processing of quantum key distribution (QKD). Recently, a multi-matrix low-density parity-check codes based reconciliation algorithm which can provide remarkable perspectives…

Quantum Physics · Physics 2020-01-23 Yu Guo , Chaohui Gao , Dong Jiang , Lijun Chen