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Quantum key distribution performs the trick of growing a secret key in two distant places connected by a quantum channel. The main reason is that the legitimate users can bound the information gathered by the eavesdropper. In practical…

Quantum Physics · Physics 2013-06-03 David Elkouss , Jesus Martinez-Mateo , Vicente Martin

Post-processing is a significant step in quantum key distribution(QKD), which is used for correcting the quantum-channel noise errors and distilling identical corrected keys between two distant legitimate parties. Efficient error…

Quantum Physics · Physics 2019-05-09 Chaohui Gao , Dong Jiang , Liangliang Lu , Yu Guo , Lijun Chen

In recent years, quantum computing technologies have steadily matured and have begun to find practical applications across various domains. One important area is network communication security, where Quantum Key Distribution (QKD) enables…

Cryptography and Security · Computer Science 2026-02-03 Abel C. H. Chen

Two parties, Alice and Bob, wish to distill a binary secret key out of a list of correlated variables that they share after running a quantum key distribution protocol based on continuous-spectrum quantum carriers. We present a novel…

Cryptography and Security · Computer Science 2007-05-23 G. Van Assche , J. Cardinal , N. J. Cerf

In continuous-variable quantum key distribution, information reconciliation is required to extract a shared secret key from correlated random variables obtained through the quantum channel. Reverse reconciliation (RR) is generally…

Information Theory · Computer Science 2026-05-13 Marco Origlia , Emanuele Parente , Marco Secondini

The article discusses a key reconciliation protocol for quantum key distribution (QKD) systems based on Tree Parity Machines (TPM). The idea of transforming key material into neural network weights is presented. Two experiments were…

Quantum Physics · Physics 2025-12-16 Matvey Yorkhov , Vladimir Faerman , Anton Konev

Quantum key distribution (QKD) allows for secure communications safe against attacks by quantum computers. QKD protocols are performed by sending a sizeable, but finite, number of quantum signals between the distant parties involved. Many…

Quantum Physics · Physics 2021-01-05 Darius Bunandar , Luke C. G. Govia , Hari Krovi , Dirk R. Englund

We propose an efficient logical layer-based reconciliation method for continuous-variable quantum key distribution (CVQKD) to extract binary information from correlated Gaussian variables. We demonstrate that by operating on the raw-data…

Quantum Physics · Physics 2018-01-09 Laszlo Gyongyosi , Sandor Imre

Recently, quantum error-correcting codes were proposed that capitalize on the fact that many physical error models lead to a significant asymmetry between the probabilities for bit flip and phase flip errors. An example for a channel which…

Quantum Physics · Physics 2016-11-17 Pradeep Kiran Sarvepalli , Martin Roetteler , Andreas Klappenecker

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

This paper proposes a method for designing error correction codes by combining a known coding scheme with an autoencoder. Specifically, we integrate an LDPC code with a trained autoencoder to develop an error correction code for intractable…

Information Theory · Computer Science 2020-03-03 Eren Balevi , Jeffrey G. Andrews

This paper presents an easy-to-use open-source software library for continuous-variable quantum key distribution (CV-QKD) systems. The library, written in C++, simplifies the crucial task of information reconciliation, ensuring that both…

Quantum Physics · Physics 2024-08-02 Erdem Eray Cil , Laurent Schmalen

A missing piece in quantum information theory, with very few exceptions, has been to provide the random coding exponents for quantum information-processing protocols. We remedy the situation by providing these exponents for a variety of…

Quantum Physics · Physics 2015-09-30 Naresh Sharma

Cascade is an information reconciliation protocol proposed in the context of secret key agreement in quantum cryptography. This protocol allows removing discrepancies in two partially correlated sequences that belong to distant parties,…

Quantum Physics · Physics 2014-12-23 Jesus Martinez-Mateo , Christoph Pacher , Momtchil Peev , Alex Ciurana , Vicente Martin

Information reconciliation (IR) ensures the correctness of quantum key distribution systems, by correcting the error bits existed in the sifted keys. In this article, we propose a polar codes-based IR scheme with the frozen bits erasure…

Quantum Physics · Physics 2023-02-01 Bang-Ying Tang , Chun-Qing Wu , Wei Peng , Bo Liu , Wan-Rong Yu

Mutually unbiased bases have been extensively studied in the literature and are simple and effective in quantum key distribution protocols, but they are not optimal. Here equiangular spherical codes are introduced as a more efficient and…

Quantum Physics · Physics 2016-02-23 Joseph M. Renes

Quantum Key Distribution (QKD) provides an efficient means to exchange information in an unconditionally secure way. Historically, QKD protocols have been based on binary signal formats, such as two polarisation states, and the transmitted…

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 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

Quantum error correcting codes (QECCs) are the means of choice whenever quantum systems suffer errors, e.g., due to imperfect devices, environments, or faulty channels. By now, a plethora of families of codes is known, but there is no…

Quantum Physics · Physics 2022-03-14 Benjamin Desef , Martin B. Plenio