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The cluster state model for quantum computation [Phys. Rev. Lett. 86, 5188] outlines a scheme that allows one to use measurement on a large set of entangled quantum systems in what is known as a cluster state to undertake quantum…

Quantum Physics · Physics 2007-05-23 William Hall

Cluster computing was introduced to replace the superiority of super computers. Cluster computing is able to overcome the problems that cannot be effectively dealt with supercomputers. In this paper, we are going to evaluate the performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-15 Cinantya Paramita , Fauzi Adi Rafrastara , Usman Sudibyo , R. I. W. Agung Wibowo

We present an application of particle statistics to the problem of optimal ambiguous discrimination of quantum states. The states to be discriminated are encoded in the internal degrees of freedom of identical particles, and we use the…

Quantum Physics · Physics 2009-11-10 S. Bose , A. Ekert , Y. Omar , N. Paunkovic , V. Vedral

We propose a novel clustering method that is based on physical intuition derived from quantum mechanics. Starting with given data points, we construct a scale-space probability function. Viewing the latter as the lowest eigenstate of a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 David Horn , Assaf Gottlieb

Cluster number counts can constrain the properties of dark energy if and only if the evolution in the relationship between observable quantities and the cluster mass can be calibrated. Next generation surveys with ~10000 clusters will have…

Astrophysics · Physics 2009-11-10 Marcos Lima , Wayne Hu

Scale invariance (fractality) is a prominent feature of the large-scale behavior of many stochastic systems. In this work, we construct an algorithm for the statistical identification of the Hurst distribution (in particular, the scaling…

Methodology · Statistics 2025-01-31 Patrice Abry , Gustavo Didier , Oliver Orejola , Herwig Wendt

We develop a novel clustering method for distributional data, where each data point is regarded as a probability distribution on the real line. For distributional data, it has been challenging to develop a clustering method that utilizes…

Methodology · Statistics 2025-06-24 Ryo Okano , Masaaki Imaizumi

Measurement-based quantum computation has revolutionized quantum information processing, and the physical systems with which it can be implemented. One simply needs the ability to prepare a particular state, known as the cluster state, and…

Quantum Physics · Physics 2008-02-15 Dimitris G. Angelakis , Alastair Kay

In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available…

Optics · Physics 2007-05-23 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

We present several coupled-cluster calculations of ground and excited states of 4He and 16O employing methods from quantum chemistry. A comparison of coupled cluster results with the results of exact diagonalization of the hamiltonian in…

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

Machine Learning · Computer Science 2024-09-05 Anupriya Vysala , Joseph Gomes

Drift chambers have long been central to collider tracking, but future machines like a Higgs factory motivate higher granularity and cluster counting for particle ID, posing new data processing challenges. Machine learning (ML) at the…

Instrumentation and Detectors · Physics 2025-11-18 Deniz Yilmaz , Liangyu Wu , Julia Gonski , Dylan Rankin , Christian Herwig

In this paper we develop parallel cluster sampling algorithms and show that a multi-chain version is embarrassingly parallel and can be used efficiently for medical image retrieval among other applications.

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-27 Hesham Arafat Ali , Salah Attiya , Ibrahim El-henawy

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

Machine Learning · Computer Science 2023-10-31 Oleg I. Berngardt

A new cluster analysis method, $K$-quantiles clustering, is introduced. $K$-quantiles clustering can be computed by a simple greedy algorithm in the style of the classical Lloyd's algorithm for $K$-means. It can be applied to large and…

Methodology · Statistics 2019-11-12 Christian Hennig , Cinzia Viroli , Laura Anderlucci

Bayesian clustering methods have the widely touted advantage of providing a probabilistic characterization of uncertainty in clustering through the posterior distribution. An amazing variety of priors and likelihoods have been proposed for…

Methodology · Statistics 2025-11-21 Garritt L. Page , Andrés F. Barrientos , David B. Dahl , David B. Dunson

The implementation and practicality of quantum algorithms highly hinge on the quality of operations within a quantum processor. Therefore, including realistic error models in quantum computing simulation platforms is crucial for testing…

Quantum Physics · Physics 2021-04-12 Ahmed Abid Moueddene , Nader Khammassi , Koen Bertels , Carmen G. Almudever

In this paper we show that 1-electron properties such as Compton profiles and structure factors of crystals can be asymptotically retrieved through cluster-based calculations, followed by an appropriate partition of the 1-electron reduced…

Chemical Physics · Physics 2015-06-26 Sebastien Ragot , Jean-Michel Gillet , Pierre J Becker

Existing clustering algorithms such as K-means often need to preset parameters such as the number of categories K, and such parameters may lead to the failure to output objective and consistent clustering results. This paper introduces a…

Machine Learning · Computer Science 2022-09-15 Shaodong Deng , Long Sheng , Jiayi Nie , Fuyi Deng

Particle probability hypothesis density filtering has become a promising means for multi-target tracking due to its capability of handling an unknown and time-varying number of targets in non-linear non-Gaussian system. However, its…

Computation · Statistics 2015-03-13 Wang Junjie , Zhao Lingling , Su Xiaohong , Ma Peijun