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Quantum key distribution (QKD) enables the establishment of secret keys between users connected via a channel vulnerable to eavesdropping, with information-theoretic security, that is, independently of the power of a malevolent party. QKD…

We provide here a universal approximation theorem with precise quantitative error bounds for noisy quantum neural networks. We focus on applications to Quantitative Finance, where target functions are often given as expectations. We further…

Quantum Physics · Physics 2026-05-20 Lukas Gonon , Antoine Jacquier , Marcel Mordarski

Gaussian networks are fundamental objects in network information theory. Here many senders and receivers are connected by physically motivated Gaussian channels while auxiliary Gaussian components, such as Gaussian relays, are entailed.…

Quantum Physics · Physics 2022-09-09 Masoud Ghalaii , Panagiotis Papanastasiou , Stefano Pirandola

Many papers proved the security of quantum key distribution (QKD) system, in the asymptotic framework. The degree of the security has not been discussed in the finite coding-length framework, sufficiently. However, to guarantee any…

Quantum Physics · Physics 2009-11-13 Masahito Hayashi

Accurate quantum channel parameter estimation is essential for effective information reconciliation in continuous-variable quantum key distribution (CV-QKD). However, conventional maximum likelihood (ML) estimators rely on a large amount of…

Quantum Physics · Physics 2025-12-23 Jisheng Dai , Xue-Qin Jiang , Peng Huang , Tao Wang , Guihua Zeng

Quantum security improves cryptographic protocols by applying quantum mechanics principles, assuring resistance to both quantum and conventional computer attacks. This work addresses these issues by integrating Quantum Key Distribution…

Cryptography and Security · Computer Science 2025-02-18 Tasmin Karim , Md. Shazzad Hossain Shaon , Md. Fahim Sultan , Mst Shapna Akter

Quantized Neural Networks (QNNs), which use low bitwidth numbers for representing parameters and performing computations, have been proposed to reduce the computation complexity, storage size and memory usage. In QNNs, parameters and…

Computer Vision and Pattern Recognition · Computer Science 2017-06-23 Shuchang Zhou , Yuzhi Wang , He Wen , Qinyao He , Yuheng Zou

Continuous-variable quantum key distribution (CV-QKD) offers an approach to achieve a potential high secret key rate (SKR) in metropolitan areas. There are several challenges in developing a practical CV-QKD system from the laboratory to…

We present here an information theoretic study of Gaussian collective attacks on the continuous variable key distribution protocols based on Gaussian modulation of coherent states. These attacks, overlooked in previous security studies,…

Quantum Physics · Physics 2009-11-10 Frederic Grosshans

Quantum key distribution (QKD) promises information-theoretic security, yet practical deployments in discrete-variable (DV) and continuous-variable (CV) settings remain exposed to device imperfections, channel manipulation, finite-key…

Quantum Physics · Physics 2026-05-28 Hasan Abbas Al-Mohammed , Afnan S. Al-Ali

We address the multi-user quantum key distribution (QKD) problem under malicious quantum attacks, which is critical for realizing a large-scale quantum Internet. This paper maximizes the sum secret key rate (SKR) of a novel uplink…

Quantum Physics · Physics 2025-12-09 Zhichao Dong , Xiaolin Zhou , Huang Peng , Wei Ni , Ekram Hossain , Xin Wang

A numerical security proof technique is used to analyse the security of continuous-variable quantum key distribution (CV-QKD) protocols with phase-shift keying modulation against collective attacks in the asymptotic limit. We argue why it…

Quantum Physics · Physics 2022-10-18 Florian Kanitschar , Christoph Pacher

In satellite-based free-space continuous-variable QKD (CV-QKD), the parameter estimation for the atmospheric channel fluctuations due to the turbulence effects and attenuation is crucial for analyzing and improving the protocol performance.…

Quantum Physics · Physics 2021-03-29 Xiaowen Liu , Chen Dong , Xingyu Wang , Tianyi Wu

Continuous-variable (CV) quantum computing has shown great potential for building neural network models. These neural networks can have different levels of quantum-classical hybridization depending on the complexity of the problem. Previous…

Quantum Physics · Physics 2023-06-08 Shikha Bangar , Leanto Sunny , Kubra Yeter-Aydeniz , George Siopsis

We compare three proof techniques for composable finite-size security of quantum key distribution under collective attacks, with emphasis on how the resulting secret-key rates behave at practically relevant block lengths. As a benchmark, we…

Quantum Physics · Physics 2026-01-08 Gabriele Staffieri , Giovanni Scala , Cosmo Lupo

Uncertainty quantification (UQ) is important for reliability assessment and enhancement of machine learning models. In deep learning, uncertainties arise not only from data, but also from the training procedure that often injects…

Machine Learning · Statistics 2023-11-13 Ziyi Huang , Henry Lam , Haofeng Zhang

Quantum Key Distribution (QKD) is a pivotal technology in the quest for secure communication, harnessing the power of quantum mechanics to ensure robust data protection. However, scaling QKD to meet the demands of high-speed, real-world…

Quantum Physics · Physics 2024-09-13 Hasan Abbas Al-Mohammed , Saif Al-Kuwari , Hashir Kuniyil , Ahmed Farouk

We introduce noise-adaptive quantum key distribution (QKD) protocols, in which the honest parties optimize the encoding (state preparation) and decoding (measurement basis) operations according to the noise models affecting the honest…

Quantum Physics · Physics 2026-05-28 Abinash Kar , Ayan Patra , Aditi Sen De , Tamoghna Das

In this work, we present a reliable, efficient, and tight numerical method for calculating key rates for finite-dimensional quantum key distribution (QKD) protocols. We illustrate our approach by finding higher key rates than those…

Quantum Physics · Physics 2018-07-30 Adam Winick , Norbert Lütkenhaus , Patrick J. Coles

Here, we demonstrate that a practical Continuous Variables Quantum Key Distribution (CVQKD) protocol relying on the Gaussian modulation of coherent states features secret key rates that cannot be achieved with standard qubit Discrete…

Quantum Physics · Physics 2014-10-24 Paul Jouguet , David Elkouss , Sébastien Kunz-Jacques