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Quantum-dot fabrication and characterization is a well-established technology, which is used in photonics, quantum optics and nanoelectronics. Four quantum-dots placed at the corners of a square form a unit cell, which can hold a bit of…

We present some techniques which have been developed recently or in the recent past to compute Feynman graphs beyond one-loop order. These techniques are useful to compute the three-loop splitting functions in QCD and to obtain the complete…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. L. van Neerven

Complete Feynman diagram automatic computation systems are now coming of age after many years of development. They are made available to the high energy physics community through user-friendly interfaces. Theorists and experimentalists can…

High Energy Physics - Phenomenology · Physics 2011-04-15 Denis Perrer-Gallix

Monte Carlo sampling is a powerful toolbox of algorithmic techniques widely used for a number of applications wherein some noisy quantity, or summary statistic thereof, is sought to be estimated. In this paper, we survey the literature for…

Finite element model updating is a mature discipline for linear structures, yet its extension to nonlinear regimes remains an open challenge. This paper presents a methodology that combines nonlinear model order reduction (NMOR) based on…

Computational Engineering, Finance, and Science · Computer Science 2026-04-09 Nikolaos D. Tantaroudas , Jake Hollins , Konstantinos Agathos , Evangelos Papatheou

A new type of ensemble Kalman filter is developed, which is based on replacing the sample covariance in the analysis step by its diagonal in a spectral basis. It is proved that this technique improves the aproximation of the covariance when…

Methodology · Statistics 2015-08-19 Ivan Kasanický , Jan Mandel , Martin Vejmelka

This article presents a novel encoding for quantum Lattice Boltzmann method algorithm using Carleman linearization. In contrast to previous articles \cite{Sanavio2024LatticeBC,sanavio2025carleman}, the encoding used allows for local…

Some of the most arduous and error-prone aspects of precision resummed calculations are related to the partonic hard process, having nothing to do with the resummation. In particular, interfacing to parton-distribution functions, combining…

High Energy Physics - Phenomenology · Physics 2016-09-21 David Farhi , Ilya Feige , Marat Freytsis , Matthew D. Schwartz

As big data becomes ubiquitous across domains, and more and more stakeholders aspire to make the most of their data, demand for machine learning tools has spurred researchers to explore the possibilities of automated machine learning…

We propose a novel Continuation Multi Level Monte Carlo (CMLMC) algorithm for weak approximation of stochastic models. The CMLMC algorithm solves the given approximation problem for a sequence of decreasing tolerances, ending when the…

Numerical Analysis · Mathematics 2015-05-22 Nathan Collier , Abdul-Lateef Haji-Ali , Fabio Nobile , Erik von Schwerin , Raul Tempone

Copulas are mathematical tools for modeling joint probability distributions. Since copulas enable one to conveniently treat the marginal distribution of each variable and the interdependencies among variables separately, in the past 60…

Quantum Physics · Physics 2022-06-28 Daiwei Zhu , Weiwei Shen , Annarita Giani , Saikat Ray Majumder , Bogdan Neculaes , Sonika Johri

Machine-learning (ML) ans\"atze have greatly expanded the accuracy and reach of variational quantum Monte Carlo (QMC) calculations, in particular when exploring the manifold quantum phenomena exhibited by spin systems. However, the…

Quantum Physics · Physics 2025-11-24 Manuel Gallego , Sebastián Roca-Jerat , David Zueco , Jesús Carrete

We extend the recently introduced phaseless auxiliary-field quantum Monte Carlo (QMC) approach to any single-particle basis, and apply it to molecular systems with Gaussian basis sets. QMC methods in general scale favorably with system…

Computational Physics · Physics 2007-05-23 W. A. Al-Saidi , Shiwei Zhang , Henry Krakauer

Monte Carlo techniques play a central role in statistical mechanics approaches for connecting macroscopic thermodynamic and kinetic properties to the electronic structure of a material. This paper describes the implementation of Monte Carlo…

Materials Science · Physics 2023-09-22 Brian Puchala , John C. Thomas , Anton Van der Ven

We construct numerical integrators for Hamiltonian problems that may advantageously replace the standard Verlet time-stepper within Hybrid Monte Carlo and related simulations. Past attempts have often aimed at boosting the order of accuracy…

Numerical Analysis · Mathematics 2015-04-10 Sergio Blanes , Fernando Casas , J. M. Sanz-Serna

Quantum Information and the new informational paradigm are entering the domain of quantum field theory and gravity, suggesting the quantum automata framework. The quantum automaton is the minimal-assumption extension to the Planck and…

Quantum Physics · Physics 2012-11-13 Giacomo Mauro D'Ariano

The development of new superconducting circuits and the improvement of existing ones rely on the accurate modeling of spectral properties which are key to achieving the needed advances in qubit performance. Systematic circuit analysis at…

Quantum Physics · Physics 2023-02-07 Sai Pavan Chitta , Tianpu Zhao , Ziwen Huang , Ian Mondragon-Shem , Jens Koch

The Carleman linearization is one of the mainstream approaches to lift a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear system with the promise of providing accurate approximations of the original…

Dynamical Systems · Mathematics 2022-07-21 Arash Amini , Cong Zheng , Qiyu Sun , Nader Motee

We present the key features relevant to the automated computation of all the leading- and next-to-leading order contributions to short-distance cross sections in a mixed-coupling expansion, with special emphasis on the first subleading NLO…

High Energy Physics - Phenomenology · Physics 2021-10-22 R. Frederix , S. Frixione , V. Hirschi , D. Pagani , H. -S. Shao , M. Zaro

The Calculus of Wrapped Compartments (CWC) is a variant of the Calculus of Looping Sequences (CLS). While keeping the same expressiveness, CWC strongly simplifies the development of automatic tools for the analysis of biological systems.…

Computational Engineering, Finance, and Science · Computer Science 2010-06-29 Mario Coppo , Ferruccio Damiani , Maurizio Drocco , Elena Grassi , Angelo Troina