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This is to reply to a recent comment by Yang, Yuan and Zhang on ``Teleportation of two-quNit entanglement: Exploiting local resorces''.

Quantum Physics · Physics 2007-05-23 Nguyen Ba An

We propose a nonparametric parameter estimation of confidence intervals when the underlying has large or infinite variance. We explain the method by a simple numerical example and provide an application to estimate the coupling strength in…

Statistics Theory · Mathematics 2022-04-26 Anirban Das , Manfred Denker , Anna Levina , Lucia Tabacu

We show how entanglement can be used to improve the estimation of an unknown transformation. Using entanglement is always of benefit, in improving either the precision or the stability of the measurement. Examples relevant for applications…

Quantum Physics · Physics 2019-05-15 G. Mauro D'Ariano , Paoloplacido Lo Presti , Matteo G. A. Paris

In this paper we derive an updating scheme for calculating some important network statistics such as degree, clustering coefficient, etc., aiming at reduce the amount of computation needed to track the evolving behavior of large networks;…

Data Analysis, Statistics and Probability · Physics 2009-04-02 Jie Sun , James P. Bagrow , Erik M. Bollt , Joesph D. Skufca

Entanglement is a fundamental property of quantum systems, essential for non-trivial quantum programs. Identifying when qubits become entangled is critical for circuit optimization, and for arguing for the correctness of quantum algorithms.…

Quantum Physics · Physics 2025-08-15 Aske Nord Raahauge , Martin Bom Marchioro , Rasmus Ross Nylandsted

Rejoinder: Expert Elicitation for Reliable System Design [arXiv:0708.0279]

Methodology · Statistics 2009-09-29 Tim Bedford , John Quigley , Lesley Walls

We introduce the Real Quantum Amplitude Estimation (RQAE) algorithm, an extension of Quantum Amplitude Estimation (QAE) which is sensitive to the sign of the amplitude. RQAE is an iterative algorithm which offers explicit control over the…

Quantum Physics · Physics 2022-05-26 Alberto Manzano , Daniele Musso , Álvaro Leitao

We propose a nonparametric method for estimating the conditional quantile function that admits a generalized additive specification with an unknown link function. This model nests single-index, additive, and multiplicative quantile…

Statistics Theory · Mathematics 2023-06-07 Yebin Cheng , Jan G. De Gooijer

Quantum metrology holds the promise of an early practical application of quantum technologies, in which measurements of physical quantities can be made with much greater precision than what is achievable with classical technologies. In this…

Quantum Physics · Physics 2021-01-27 Jasminder S. Sidhu , Pieter Kok

In accordance with the principle of "data minimization", many internet companies are opting to record less data. However, this is often at odds with A/B testing efficacy. For experiments with units with multiple observations, one popular…

Methodology · Statistics 2024-01-29 Leon Yao , Paul Yiming Li , Jiannan Lu

Existing network simulations often rely on simplistic models that send packets at random intervals, failing to capture the critical role of application-level behaviour. This paper presents a statistical approach that extracts and models…

Networking and Internet Architecture · Computer Science 2025-02-04 Murugaraj Odiathevar , Kim Chung Yup

We propose a new protocol for on-line quantum system estimation on the basis of continuous weak-measurements with the help of compressive sensing and the optimization algorithm. By directly measuring the state of the probe system, we…

Quantum Physics · Physics 2024-09-30 S. Cong , K. Li , S. Harraz , 1 Y. Tang , J. Yang

Software Defined Networks have opened the door to statistical and AI-based techniques to improve efficiency of networking. Especially to ensure a certain Quality of Service (QoS) for specific applications by routing packets with awareness…

Networking and Internet Architecture · Computer Science 2023-02-01 Pierre Larrenie , Jean-François Bercher , Olivier Venard , Iyad Lahsen-Cherif

A note on "Bayesian nonparametric estimators derived from conditional Gibbs structures" by Antonio Lijoi, Igor Pr\"{u}nster, Stephen G. Walker [arXiv:0808.2863].

Probability · Mathematics 2014-01-17 Antonio Lijoi , Igor Prünster , Stephen G. Walker

This paper introduces a new inequality in algorithmic information theory that can be seen as an extended coding theorem. This inequality has applications in new bounds between quantum complexity measures.

Computational Complexity · Computer Science 2021-01-25 Samuel Epstein

We develop an efficient algorithm for determining optimal adaptive quantum estimation protocols with arbitrary quantum control operations between subsequent uses of a probed channel. We introduce a tensor network representation of an…

This is the draft version of a review paper which is going to appear in "Advances in Imaging and Electron Physics"

Quantum Physics · Physics 2025-05-14 G. Mauro D'Ariano , Matteo G. A. Paris , Massimiliano F. Sacchi

Quantum metrology based on quantum entanglement and quantum coherence improves the accuracy of measurement. In this paper, we briefly review the schemes of quantum metrology in various complex systems, including non-Markovian noise,…

Quantum Physics · Physics 2024-01-18 Qing Ai , Yang-Yang Wang , Jing Qiu

We show how to achieve full spectral characterization of general multiaxis additive noise. Our pulsed spectral estimation technique is based on sequence repetition and frequency-comb sampling and is applicable even to models where a large…

Quantum Physics · Physics 2019-11-06 Gerardo A. Paz-Silva , Leigh M. Norris , Félix Beaudoin , Lorenza Viola

Regardless of the domain, forecasting the future behaviour of a running process instance is a question of interest for decision makers, especially when multiple instances interact. Fostered by the recent advances in machine learning…

Machine Learning · Computer Science 2023-07-04 Stefan Hill , David Fitzek , Patrick Delfmann , Carl Corea