English
Related papers

Related papers: Improving parameter estimation of entropic uncerta…

200 papers

Continuous variable quantum key distribution with discrete modulation has the potential to provide information-theoretic security using widely available optical elements and existing telecom infrastructure. While their implementation is…

Quantum Physics · Physics 2024-07-25 Stefan Bäuml , Carlos Pascual-García , Victoria Wright , Omar Fawzi , Antonio Acín

Many fields of physics use quantum Monte Carlo techniques, but struggle to estimate dynamic spectra via the analytic continuation of imaginary-time quantum Monte Carlo data. One of the most ubiquitous approaches to analytic continuation is…

Computational Physics · Physics 2025-10-10 Thomas Chuna , Nicholas Barnfield , Tobias Dornheim , Michael P. Friedlander , Tim Hoheisel

Symmetry plays a fundamental role in the security analysis of quantum key distribution (QKD). Here we review how symmetry is exploited in continuous-variable (CV) QKD to prove the optimality of Gaussian attacks in the finite-size regime. We…

Quantum Physics · Physics 2021-07-21 Cosmo Lupo

The goal of this note is to explain the reconciliation problem for continuous-variable quantum key distribution protocols with a discrete modulation. Such modulation formats are attractive since they significantly simplify experimental…

Quantum Physics · Physics 2023-10-27 Anthony Leverrier

Quantum key distribution (QKD) enables the generation of secure keys between two distant users. Security proof of QKD against general coherent attacks is challenging, while the one against collective attacks is much easier. As an effective…

Quantum Physics · Physics 2024-10-01 Yang-Guang Shan , Zhen-Qiang Yin , Shuang Wang , Wei Chen , De-Yong He , Guang-Can Guo , Zheng-Fu Han

Model error covariances play a central role in the performance of data assimilation methods applied to nonlinear state-space models. However, these covariances are largely unknown in most of the applications. A misspecification of the model…

Computation · Statistics 2019-11-06 María Magdalena Lucini , Peter Jan van Leeuwen , Manuel Pulido

Entropic uncertainty relations are quantitative characterizations of Heisenberg's uncertainty principle, which make use of an entropy measure to quantify uncertainty. In quantum cryptography, they are often used as convenient tools in…

Quantum Physics · Physics 2012-06-22 Niek J. Bouman , Serge Fehr , Carlos González-Guillén , Christian Schaffner

Mixtures of Hidden Markov Models (MHMMs) are frequently used for clustering of sequential data. An important aspect of MHMMs, as of any clustering approach, is that they can be interpretable, allowing for novel insights to be gained from…

Artificial Intelligence · Computer Science 2021-03-24 Negar Safinianaini , Henrik Boström

The uncertainty principle constitutes a fundamental pillar of quantum theory, representing one of the most distinctive features that differentiates quantum mechanics from classical physics. In this study, we firstly propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Rui-Jie Yao , Dong Wang

Entropic uncertainty relations demonstrate the intrinsic uncertainty of nature from an information-theory perspective. Recently, a quantum-memory-assisted entropic uncertainty relation for multiple measurements was proposed by Wu $et\ al.$…

Quantum Physics · Physics 2023-07-26 Qing-Hua Zhang , Shao-Ming Fei

Uncertainty relations give upper bounds on the accuracy by which the outcomes of two incompatible measurements can be predicted. While established uncertainty relations apply to cases where the predictions are based on purely classical data…

Quantum Physics · Physics 2012-10-18 Marco Tomamichel , Renato Renner

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

We study two operational approaches to quantifying incompatibility that depart significantly from the well known entropic uncertainty relation (EUR) formalism. Both approaches result in incompatibility measures that yield non-zero values…

Quantum Physics · Physics 2015-10-15 Srijita Kundu , Kaustubh Wagh , Prabha Mandayam

Modifications to a previous proof of the security of EPR-based quantum key distribution are proposed. This modified version applies to a protocol using three conjugate measurement bases rather than two. A higher tolerable error rate is…

Quantum Physics · Physics 2007-05-23 Hitoshi Inamori

Paramount for performances of quantum network applications are the structure and quality of distributed entanglement. Here we propose a scalable and efficient approach to reveal the topological information of unknown quantum networks, and…

Quantum Physics · Physics 2025-07-15 Jun-Hao Wei , Xin-Yu Xu , Shu-Ming Hu , Nuo-Ya Yang , Li Li , Nai-Le Liu , Kai Chen

Non-Hermitian systems with exceptional points lead to many intriguing phenomena due to the coalescence of both eigenvalues and corresponding eigenvectors, in comparison to Hermitian systems where only eigenvalues degenerate. In this paper,…

Quantum Physics · Physics 2022-10-05 youneng Guo , Guoyou Wang

We propose a method named as double-scanning method, to improve the key rate of measurement-device-independent quantum key distribution (MDI-QKD) drastically. In the method, two parameters are scanned simultaneously to tightly estimate the…

Quantum Physics · Physics 2021-01-20 Cong Jiang , Zong-Wen Yu , Xiao-Long Hu , Xiang-Bin Wang

This paper introduces a comprehensive framework for complex-valued probability measures and explores their novel applications in information theory and statistical analysis. We define a complex probability measure as a phase-modulated…

Information Theory · Computer Science 2026-03-16 Siang Cheng , Hejun Xu , Tianxiao Pang

We introduce a new information-theoretic formulation of quantum measurement uncertainty relations, based on the notion of relative entropy between measurement probabilities. In the case of a finite-dimensional system and for any approximate…

Mathematical Physics · Physics 2018-03-02 Alberto Barchielli , Matteo Gregoratti , Alessandro Toigo

In recent years, discrete-modulated continuous-variable quantum key distribution (DM-CV-QKD) has gained traction due to its practical advantages: cost-effectiveness, simple state preparation, and compatibility with existing communication…

Quantum Physics · Physics 2024-10-22 Ignatius William Primaatmaja , Wen Yu Kon , Charles Lim