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We present a new Mathematica package that provides a platform to perform multi-loop computations. ANATAR integrates several existing tools designed for higher-order computations. In particular, it uses QGRAF to generate Feynman diagrams and…

High Energy Physics - Phenomenology · Physics 2025-09-18 Claude Duhr , Pooja Mukherjee , Andres Vasquez

The development of efficient exact and approximate algorithms for probabilistic inference is a long-standing goal of artificial intelligence research. Whereas substantial progress has been made in dealing with purely discrete or purely…

Artificial Intelligence · Computer Science 2024-10-23 Giuseppe Spallitta , Gabriele Masina , Paolo Morettin , Andrea Passerini , Roberto Sebastiani

This Mathematica 5.2 package~\footnote{QDENSITY is available at http://www.pitt.edu/~tabakin/QDENSITY} is a simulation of a Quantum Computer. The program provides a modular, instructive approach for generating the basic elements that make…

Quantum Physics · Physics 2016-08-16 B. Juliá-Díaz , J. M. Burdis , F. Tabakin

This thesis is focused on the implementation and the application of a novel kind of algorithm which is expected to overcome the limitations of older schemes. This new algorithm is named Multiboson Method. It allows to simulate an arbitrary…

High Energy Physics - Lattice · Physics 2009-09-29 Wolfram Schroers

In many applications (hupergeometric-type) special functions like orthogonal polynomials are needed. For example in more than 50% of the published solutions for the (application-oriented) questions in the "Problems Section" of SIAM Review…

Classical Analysis and ODEs · Mathematics 2025-10-20 Wolfram Koepf

This article summarizes new features and enhancements of the first major update of Package-X. Package-X 2.0 can now generate analytic expressions for arbitrarily high rank dimensionally regulated tensor integrals with up to four distinct…

High Energy Physics - Phenomenology · Physics 2017-05-18 Hiren H. Patel

We extend the auxiliary-mass-flow (AMF) method originally developed for Feynman loop integration to calculate integrals involving also phase-space integration. Flow of the auxiliary mass from the boundary ($\infty$) to the physical point…

High Energy Physics - Phenomenology · Physics 2021-02-03 Xiao Liu , Yan-Qing Ma , Wei Tao , Peng Zhang

This paper introduces a new functional expansion framework that extends classical ideas beyond the Taylor series. Unlike traditional Taylor expansions based on local polynomial approximations, the proposed approach arises from exact…

Numerical Analysis · Mathematics 2026-02-03 Junping Wang

The automation of ab initio simulations is essential in view of performing high-throughput (HT) computational screenings oriented to the discovery of novel materials with desired physical properties. In this work, we propose algorithms and…

In quantum algorithms discovered so far for simulating scattering processes in quantum field theories, state preparation is the slowest step. We present a new algorithm for preparing particle states to use in simulation of Fermionic Quantum…

Quantum Physics · Physics 2019-10-25 Ali Hamed Moosavian , Stephen Jordan

The Atomic Cluster Expansion (Drautz, Phys. Rev. B 99, 2019) provides a framework to systematically derive polynomial basis functions for approximating isometry and permutation invariant functions, particularly with an eye to modelling…

Numerical Analysis · Mathematics 2021-05-13 Genevieve Dusson , Markus Bachmayr , Gabor Csanyi , Ralf Drautz , Simon Etter , Cas van der Oord , Christoph Ortner

This paper introduces an innovative approach for representing Gaussian fermionic states, pivotal in quantum spin systems and fermionic models, within a range of alternative quantum bases. We focus on transitioning these states from the…

Quantum Physics · Physics 2024-06-24 Babak Tarighi , Reyhaneh Khasseh , M. A. Rajabpour

We present an automated framework for constructing Taylor series expansions of rovibrational kinetic and potential energy operators for arbitrary molecules, internal coordinate systems, and molecular frame embedding conditions. Expressing…

Atomic and Molecular Clusters · Physics 2025-07-29 Andrey Yachmenev , Emil Vogt , Álvaro Fernández Corral , Yahya Saleh

Fermion-to-qubit mappings are used to represent fermionic modes on quantum computers, an essential first step in many quantum algorithms for electronic structure calculations. In this work, we present a formalism to design flexible…

Matrix element reweighting is a powerful experimental technique widely employed to maximize the amount of information that can be extracted from a collider data set. We present a procedure that allows to automatically evaluate the weights…

High Energy Physics - Phenomenology · Physics 2011-02-02 P. Artoisenet , V. Lemaître , F. Maltoni , O. Mattelaer

The free expansion of a Gaussian wavepacket is a problem commonly discussed in undergraduate quantum classes by directly solving the time-dependent Schrodinger equation as a differential equation. In this work, we provide an alternative way…

Quantum Physics · Physics 2023-06-07 Alessandro M. Orjuela , J. K. Freericks

We formulate a method for incorporating quantum fluctuations into molecular- dynamics simulations of many-body systems, such as those employed for energetic nuclear collision processes. Based on Fermi's Golden Rule, we allow spontaneous…

Nuclear Theory · Physics 2009-10-28 Akira Ohnishi , Jorgen Randrup

We introduce $\texttt{mosca}$, a $\texttt{Mathematica}$ package designed to facilitate on-shell calculations in effective field theories (EFTs). This initial release focuses on the reduction of Green's bases to physical bases, as well as…

High Energy Physics - Phenomenology · Physics 2025-05-28 Javier López Miras , Fuensanta Vilches

A software library is presented for the polynomial expansion method (PEM) of the density of states (DOS) developed by two of the authors (N.F. and Y. M.). The library provides all necessary functions for the use of the PEM and its truncated…

Strongly Correlated Electrons · Physics 2007-05-23 G. Alvarez , C. Sen , N. Furukawa , Y. Motome , E. Dagotto

QMetro++ is a Python package that provides a set of tools for identifying optimal estimation protocols that maximize quantum Fisher information (QFI). Optimization can be performed for arbitrary configurations of input states,…

Quantum Physics · Physics 2026-02-04 Piotr Dulian , Stanisław Kurdziałek , Rafał Demkowicz-Dobrzański