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In this work, we propose a novel key reconciliation protocol for the quantum key distribution (QKD). Based on Newton's polynomial interpolation, the proposed protocol aims to correct all erroneous bits at the receiver without revealing…

Cryptography and Security · Computer Science 2020-04-16 Gunes Karabulut Kurt , Enver Ozdemir , Neslihan Aysen Ozkirisci , Ozan Alp Topal , Emel A. Ugurlu

Quantum key distribution (QKD) is a promising technique for secure communication based on quantum mechanical principles. To improve the secure key rate of a QKD system, most studies on reconciliation primarily focused on improving the…

Quantum Physics · Physics 2021-09-21 Hao-Kun Mao , Qiong Li , Peng-Lei Hao , Bassem Abd-El-Atty , Abdullah M. Iliyasu

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

The study of quantum information processing seeks to characterize the resources that enable quantum information processing to perform tasks that are unfeasible or inefficient for classical information processing. Quantum cryptography is one…

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

Distributed quantum information processing seeks to overcome the scalability limitations of monolithic quantum devices by interconnecting multiple quantum processing nodes via classical and quantum communication. This approach extends the…

Quantum Physics · Physics 2025-10-20 Johannes Knörzer , Xiaoyu Liu , Benjamin F. Schiffer , Jordi Tura

The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both classical cryptography and information theory. Here, we…

Quantum Physics · Physics 2017-10-11 Marco Tomamichel , Jesus Martinez-Mateo , Christoph Pacher , David Elkouss

This article addresses the development of quantum communication methods in the context of emerging quantum computing threats and emphasizes the importance of key reconciliation in quantum communication systems. The study focuses on the…

Software Engineering · Computer Science 2025-12-01 Nikita Repnkiov , Vladimir Faerman

In fault-tolerant quantum computing, quantum algorithms are implemented through quantum circuits capable of error correction. These circuits are typically constructed based on specific quantum error correction codes, with consideration…

Quantum Physics · Physics 2025-03-13 Ying Li

In this paper, we propose how to simply construct a pair of linear codes for the BB84 quantum key distribution protocol. This protocol allows unconditional security in the presence of an eavesdropper, and the pair of linear codes is used…

Quantum Physics · Physics 2007-05-23 Maki Ohata , Kanta Matsuura

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…

Information reconciliation(IR) is a basic step of quantum key distribution (QKD). Classical message interaction is necessary in a practical IR scheme, and the communication complexity has become a bottleneck of QKD's development. Here we…

Quantum Physics · Physics 2012-05-15 Li Yang , Zhao Li

We propose an information reconciliation protocol that uses two-way classical communication. In the case of the BB84 protocol and the six-state protocol, the key rates of the quantum key distribution (QKD) protocols that use our proposed…

Quantum Physics · Physics 2011-11-09 Shun Watanabe , Ryutaroh Matsumoto , Tomohiko Uyematsu , Yasuhito Kawano

Reconciliation is a crucial procedure in post-processing of continuous variable quantum key distribution (CV-QKD) system, which is used to make two distant legitimate parties share identical corrected keys. The adaptive reconciliation is…

Quantum Physics · Physics 2019-09-30 Xuan Wen , Qiong Li , Haokun Mao , Yi Luo , Bingze Yan

We consider the distributed source coding problem in which correlated data picked up by scattered sensors has to be encoded separately and transmitted to a common receiver, subject to a rate-distortion constraint. Although near-tooptimal…

Information Theory · Computer Science 2008-09-09 G. Maierbacher , J. Barros

In the practical continuous-variable quantum key distribution (CV-QKD) system, the postprocessing process, particularly the error correction part, significantly impacts the system performance. Multi-edge type low-density parity-check…

Quantum Physics · Physics 2021-04-26 Chao Zhou , Xiangyu Wang , Zhiguo Zhang , Song Yu , Ziyang Chen , Hong Guo

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 investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

Information Theory · Computer Science 2022-12-19 Philipp Mohr , Gerhard Bauch

Quantum Error Correction (QEC) is an essential field of research towards the realization of large-scale quantum computers. On the theoretical side, a lot of effort is put into designing error-correcting codes that protect quantum data from…

Quantum Physics · Physics 2023-02-10 Lucas Berent , Lukas Burgholzer , Robert Wille

Quantum low-density parity-check (LDPC) codes are a promising family of quantum error-correcting codes for fault tolerant quantum computing with low overhead. Decoding quantum LDPC codes on quantum erasure channels has received more…

Information Theory · Computer Science 2024-11-20 Mert Gökduman , Hanwen Yao , Henry D. Pfister