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Quantum circuits constructed from Josephson junctions and superconducting electronics are key to many quantum computing and quantum optics applications. Designing these circuits involves calculating the Hamiltonian describing their quantum…

Quantum Physics · Physics 2020-02-05 Mario F. Gely , Gary A. Steele

We describe CPMC-Lab, a Matlab program for the constrained-path and phaseless auxiliary-field Monte Carlo methods. These methods have allowed applications ranging from the study of strongly correlated models, such as the Hubbard model, to…

Strongly Correlated Electrons · Physics 2014-10-14 Huy Nguyen , Hao Shi , Jie Xu , Shiwei Zhang

Nonlinear Optical Spectroscopy is a well-developed field with theoretical and experimental advances that have aided multiple fields including chemistry, biology and physics. However, accurate quantum dynamical simulations based on model…

Quantum Physics · Physics 2023-12-19 S. A. Shah , Hao Li , Eric R. Bittner , Carlos Silva , Andrei Piryatinski

Preparing problems for execution on quantum computers can require many compilation steps. Automated compilation software is useful not only for easier and faster problem execution, but also for facilitating the comparison between different…

Quantum Physics · Physics 2022-05-23 Nicolas PD Sawaya

In this paper the formulae are collected which are needed for the computation of the strong coupling constant and quark masses at different energy scales and for different number of active flavours. All equations contain the…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. G. Chetyrkin , J. H. Kuehn , M. Steinhauser

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

In this brief paper, we go through the theoretical steps of the spectral clustering on quantum computers by employing the phase estimation and the amplitude amplification algorithms. We discuss circuit designs for each step and show how to…

Quantum Physics · Physics 2017-07-24 Ammar Daskin

An accurate method to compute enclosures of Abelian integrals is developed. This allows for an accurate description of the phase portraits of planar polynomial systems that are perturbations of Hamiltonian systems. As an example, it is…

Dynamical Systems · Mathematics 2011-09-06 Tomas Johnson , Warwick Tucker

In this work we report on a new version of FeynCalc, a Mathematica package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version…

High Energy Physics - Phenomenology · Physics 2024-09-02 Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

This is a manual (built by examples) to explain the use of MDP_QCD. It consists of an ensemble of classes and functions (written in GNU C++) to help in writing programs for lattice QCD in a particularly Object Oriented fashion. Some tricks…

High Energy Physics - Lattice · Physics 2007-05-23 Massimo Di Pierro

We present a brief overview of fractional analytic QCD.

High Energy Physics - Phenomenology · Physics 2023-11-06 A. V. Kotikov , I. A. Zemlyakov

We report on the new functionality of the open-source Mathematica package FeynCalc relevant for multiloop calculations. In particular, we focus on such tasks as topology identification by means of the Pak algorithm, search for equivalent…

High Energy Physics - Phenomenology · Physics 2021-12-30 Vladyslav Shtabovenko

We introduce \textsc{qcmath}, a user-friendly quantum chemistry software tailored for electronic structure calculations, implemented using the Wolfram Mathematica language and available at \url{https://github.com/LCPQ/qcmath}. This…

Chemical Physics · Physics 2023-09-01 Enzo Monino , Antoine Marie , Pierre-François Loos

We present a study on high-performance computing and large-scale distributed computing for perturbative QCD calculations.

We have developed a Mathematica package capable of performing gamma-matrix algebra in arbitrary (integer) dimensions. As an application we can compute Fierz transformations.

High Energy Physics - Theory · Physics 2007-05-23 Ulf Gran

We describe a process calculus featuring high level constructs for component-oriented programming in a distributed setting. We propose an extension of the higher-order pi-calculus intended to capture several important mechanisms related to…

Programming Languages · Computer Science 2009-09-04 Daniel Hirschkoff , Aurélien Pardon , Tom Hirschowitz , Samuel Hym , Damien Pous

A survey is given on the present status of analytic calculation methods and the mathematical structures of zero- and single scale Feynman amplitudes which emerge in higher order perturbative calculations in the Standard Model of elementary…

High Energy Physics - Theory · Physics 2021-03-22 J. Blümlein

We present an algorithm for the numerical calculation of one-loop QCD amplitudes. The algorithm consists of subtraction terms, approximating the soft, collinear and ultraviolet divergences of one-loop amplitudes and a method to deform the…

High Energy Physics - Phenomenology · Physics 2010-12-09 Sebastian Becker , Christian Reuschle , Stefan Weinzierl

A quantum processor is a programmable quantum circuit in which both the data and the program, which specifies the operation that is carried out on the data, are quantum states. We study the situation in which we want to use such a processor…

Quantum Physics · Physics 2009-11-11 Mark Hillery , Mario Ziman , Vladimir Buzek

This paper describes the RationalMaps package for Macaulay2. This package provides functionality for computing several aspects of rational maps such as whether a map is birational, or a closed embedding.

Algebraic Geometry · Mathematics 2023-01-25 C. J. Bott , S. Hamid Hassanzadeh , Karl Schwede , Daniel Smolkin
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