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We introduce a new information theoretic measure of quantum correlations for multiparticle systems. We use a form of multivariate mutual information -- the interaction information and generalize it to multiparticle quantum systems. There…

Quantum Physics · Physics 2023-07-14 Sk Sazim , Pankaj Agrawal

Comparing clusterings is central to evaluating unsupervised models, yet the many existing similarity measures can produce widely divergent, sometimes contradictory, evaluations. Clustering similarity measures are typically organized into…

Machine Learning · Statistics 2025-11-06 Alexander J. Gates

Jets provide us with ideal probes of the quark-gluon plasma (QGP) produced in heavy-ion collisions, since its dynamics at its different scales is imprinted into the multi-scale substructure of the final state jets. We present a new approach…

High Energy Physics - Phenomenology · Physics 2023-07-11 Carlota Andres , Fabio Dominguez , Raghav Kunnawalkam Elayavalli , Jack Holguin , Cyrille Marquet , Ian Moult

The suppression and modification of high-energy objects, like jets, in heavy-ion collisions provide an important window to access the degrees of freedom of the quark-gluon plasma on different length scales. Despite increasingly precise and…

Nuclear Theory · Physics 2021-01-01 Jasmine Brewer

A new method to identify the gluon jet in 3-jet ``{\bf Y}'' decays of $Z^0$ is presented. The method is based on differences in particle multiplicity between quark jets and gluon jets, and is more effective than tagging by leptonic decay.…

High Energy Physics - Phenomenology · Physics 2009-10-22 Jon Pumplin

In relation of observable and quantum state, the entity $I_C$ from previous work quantifies simultaneously coherence, incompatibility and quantumness. In this article its application to quantum correlations in bipartite states is studied.…

Quantum Physics · Physics 2007-05-23 Fedor Herbut

We calculate the mean number of subjets in quark and gluon jets in the final state of e^+e^- annihilation. Since `quark' and `gluon' jets are scheme-dependent objects, we stress the importance of using the same definition as in experimental…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael H. Seymour

This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states. These measures should have important appli- cations in…

Quantum Physics · Physics 2007-05-23 Christopher A. Fuchs

Group sequential designs enable interim analyses and potential early stopping for efficacy or futility. While these adaptations improve trial efficiency and ethical considerations, they also introduce bias into the adapted analyses. We…

Methodology · Statistics 2025-10-07 G. Caruso , W. F. Rosenberger , P. Mozgunov , N. Flournoy

We study the R\'enyi mutual information $\tilde{I}_n$ of the ground state of different critical quantum chains. The R\'enyi mutual information definition that we use is based on the well established concept of the R\'enyi divergence. We…

Statistical Mechanics · Physics 2015-04-16 F. C. Alcaraz , M. A. Rajabpour

Jet quenching is considered to be one of the signatures of the formation of quark gluon plasma. In order to investigate the jet quenching, it is necessary to detect jets produced in relativistic heavy ion collisions, determine their…

Nuclear Theory · Physics 2009-11-10 S. C. Phatak , P. K. Sahu

A well-known metric for quantifying the similarity between two clusterings is the adjusted mutual information. Compared to mutual information, a corrective term based on random permutations of the labels is introduced, preventing two…

Machine Learning · Computer Science 2021-03-24 Denys Lazarenko , Thomas Bonald

Jet measurements in heavy ion collisions at low jet momentum can provide constraints on the properties of the quark gluon plasma but are overwhelmed by a significant, fluctuating background. We build upon our previous work which…

High Energy Physics - Experiment · Physics 2024-02-21 Tanner Mengel , Patrick Steffanic , Charles Hughes , Antonio Carlos Oliveira Da Silva , Christine Nattrass

The QCD evolution equations in Modified Leading Log Approximation for the factorial moments of the multiplicity distribution in quark and gluon jets are numerically solved with initial conditions at threshold by fully taking into account…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sergio Lupia

The difference between the ratio of multiplicities and the ratio of their derivatives on energy for gluon and quark jets is calculated up to next-to-next-to leading order of perturbative QCD. Its non-zero value is uniquely defined by the…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. M. Dremin

We show that in studies of light quark- and gluon-initiated jet discrimination, it is important to include the information on softer reconstructed jets (associated jets) around a primary hard jet. This is particularly relevant while…

High Energy Physics - Phenomenology · Physics 2015-05-20 Biplob Bhattacherjee , Satyanarayan Mukhopadhyay , Mihoko M. Nojiri , Yasuhito Sakaki , Bryan R. Webber

In recent several years, the information bottleneck (IB) principle provides an information-theoretic framework for deep multi-view clustering (MVC) by compressing multi-view observations while preserving the relevant information of multiple…

Information Theory · Computer Science 2024-03-26 Xiaoqiang Yan , Zhixiang Jin , Fengshou Han , Yangdong Ye

The charged particle multiplicities of two- and three-jet events from the reaction e$^+$e$^-$,\to $Z$^0 \to hadrons$ are measured for Z$^0$ decays to light quark (uds) flavors, using the data sample of the OPAL Collaboration at LEP. Using…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. William Gary

The study of heavy-ion collisions presents a challenge to both theoretical and experimental nuclear physics. Due to the extremely short lifetime and small size of the collision system, disentangling information provided by experimental…

High Energy Physics - Phenomenology · Physics 2021-08-27 Derek Everett

Analytic predictions for the energy dependence of the mean multiplicities in gluon and quark jets are presented at the next-to-next-to-next-to-leading order (3NLO) of perturbative QCD and are compared to experiment. The 3NLO correction to…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. M. Dremin , J. W. Gary