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This paper investigates a new information reconciliation method for quantum key distribution in the case where two parties exchange key in the presence of a malevolent eavesdropper. We have observed that reconciliation is a special case of…

Quantum Physics · Physics 2020-02-19 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

Here we concerned with quantum key distribution - a way to establish common cryptographic key between several parties. The work proposes a combination between quantum key distribution and systematic polar coding (an error correction…

Quantum Physics · Physics 2025-11-25 Georgi Bebrov

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

Information Reconciliation is a mechanism that allows to weed out the discrepancies between two correlated variables. It is an essential component in every key agreement protocol where the key has to be transmitted through a noisy channel.…

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

Graph based codes such as low density parity check (LDPC) codes have been shown promising for the information reconciliation phase in quantum key distribution (QKD). However, existing graph coding schemes have not fully utilized the…

Information Theory · Computer Science 2020-01-06 Siyi Yang , Murat Can Sarihan , Kai-Chi Chang , Chee Wei Wong , Lara Dolecek

This paper investigates an efficient and practical information reconciliation method in the case where two parties have access to correlated continuous random variables. We show that reconciliation is a special case of channel coding and…

Information Theory · Computer Science 2007-07-13 Matthieu Bloch , Andrew Thangaraj , Steven W. McLaughlin

It is widely accepted in the quantum cryptography community that interactive information reconciliation protocols, such as cascade, are ineffcient due to the communication overhead. Instead, non-interactive information reconciliation…

Quantum Physics · Physics 2013-07-31 Thomas Brochmann Pedersen , Mustafa Toyran

Information reconciliation (IR), which corrects the errors in the sifted keys, directly determines the secure key rate and the link distance of quantum key distribution (QKD) systems. In this article, we propose an appending information…

Quantum Physics · Physics 2022-04-15 Han Zhou , Bang-Ying Tang , Huan Chen , Hui-Cun Yu , Si-Chen Li , Wan-Rong Yu , Bo Liu

Quantum key distribution (QKD) relies on quantum and classical procedures in order to achieve the growing of a secret random string -the key- known only to the two parties executing the protocol. Limited intrinsic efficiency of the…

Quantum Physics · Physics 2011-04-04 David Elkouss , Jesus Martinez-Mateo , Vicente Martin

Reconciliation is an important step to correct errors in Quantum Key Distribution (QKD). In QKD, after comparing basis, two legitimate parties possess two correlative keys which have some differences and they could obtain identical keys…

Quantum Physics · Physics 2013-05-28 Zhengchao Wei , Zhi Ma

In this paper, we introduce a reconciliation protocol with a two-step error correction scheme that uses a short-blocklength, low-rate code and a long-blocklength, high-rate code. We simulate the protocol using a short-block-length…

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

Quantum key distribution (QKD) is a popular protocol that provides information theoretically secure keys to multiple parties. Two important post-processing steps of QKD are 1) the information reconciliation (IR) step, where parties…

Information Theory · Computer Science 2024-03-04 Lev Tauz , Debarnab Mitra , Jayanth Shreekumar , Murat Can Sarihan , Chee Wei Wong , Lara Dolecek

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 connections between variable nodes and check nodes have a great influence on the performance of low-density parity-check (LDPC) codes. Inspired by the unique structure of polar code's generator matrix, we proposed a new method of…

Information Theory · Computer Science 2019-12-06 Binbin Gao , Huarui Yin , Zhengdao Wang

The Information Reconciliation phase in quantum key distribution has significant impact on the range and throughput of any QKD system. We explore this stage for high-dimensional QKD implementations and introduce two novel methods for…

Non-binary low-density parity-check (LDPC) codes have some advantages over their binary counterparts, but unfortunately their decoding complexity is a significant challenge. The iterative hard- and soft-reliability based majority-logic…

Information Theory · Computer Science 2015-06-22 Chenrong Xiong , Zhiyuan Yan

We describe a novel approach to interpret a polar code as a low-density parity-check (LDPC)-like code with an underlying sparse decoding graph. This sparse graph is based on the encoding factor graph of polar codes and is suitable for…

Information Theory · Computer Science 2018-05-15 Sebastian Cammerer , Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

We propose fault-tolerant encoders for quantum low-density parity check (LDPC) codes. By grouping qubits within a quantum code over contiguous blocks and applying preshared entanglement across these blocks, we show how transversal…

Quantum Physics · Physics 2024-05-27 Abhi Kumar Sharma , Shayan Srinivasa Garani

Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called low-density parity-check (LDPC) quantum codes. The codes we discuss are…

Quantum Physics · Physics 2021-10-26 Nikolas P. Breuckmann , Jens Niklas Eberhardt