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We introduce $\texttt{RandomMeas$.$jl}$, a modular and high-performance open-source software package written in Julia for implementing and analyzing randomized measurement protocols in quantum computing. Randomized measurements provide a…

Quantum Physics · Physics 2026-04-29 Andreas Elben , Benoît Vermersch

A piecewise function of a real variable x returns a value computed from a rule that can be different in each interval of the values of x. The Julia module Piecewise provides an implementation of piecewise functions, where the user is free…

Mathematical Software · Computer Science 2025-09-24 Christophe Berthod

We introduce CBXPy and ConsensusBasedX.jl, Python and Julia implementations of consensus-based interacting particle systems (CBX), which generalise consensus-based optimization methods (CBO) for global, derivative-free optimisation. The…

Optimization and Control · Mathematics 2024-12-04 Rafael Bailo , Alethea Barbaro , Susana N. Gomes , Konstantin Riedl , Tim Roith , Claudia Totzeck , Urbain Vaes

Since time immemorial an old adage has always seemed to ring true: you cannot use a high-level productive programming language like Python or R for real-time control and embedded-systems programming, you must rewrite your program in C. We…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Fredrik Bagge Carlson , Cody Tapscott , Gabriel Baraldi , Chris Rackauckas

Sunny is a Julia package designed to serve the needs of the quantum magnetism community. It supports the specification of a very broad class of spin models and a diverse suite of numerical solvers. These include powerful methods for…

StateSpaceModels.jl is an open-source Julia package for modeling, forecasting and simulating time series in a state-space framework. The package represents a straightforward tool that can be useful for a wide range of applications that deal…

Computation · Statistics 2020-02-11 Raphael Saavedra , Guilherme Bodin , Mario Souto

In this paper, we introduce GridapROMs, a Julia-based library for the numerical approximation of parameterized partial differential equations (PDEs) using a comprehensive suite of linear reduced order models (ROMs). The library is designed…

Numerical Analysis · Mathematics 2025-09-22 Nicholas Mueller , Santiago Badia

We present FreeBird, an extensible Julia-based platform for computational studies of phase equilibria at generic interfaces. The package supports a range of system configurations, from atomistic solid surfaces to coarse-grained…

Statistical Mechanics · Physics 2025-12-19 Ray Yang , Junchi Chen , Douglas Thibodeaux , Robert B. Wexler

AcceleratedKernels.jl is introduced as a backend-agnostic library for parallel computing in Julia, natively targeting NVIDIA, AMD, Intel, and Apple accelerators via a unique transpilation architecture. Written in a unified, compact…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-23 Andrei-Leonard Nicusan , Dominik Werner , Simon Branford , Simon Hartley , Andrew J. Morris , Kit Windows-Yule

The Fujitsu A64FX ARM-based processor is used in supercomputers such as Fugaku in Japan and Isambard 2 in the UK and provides an interesting combination of hardware features such as Scalable Vector Extension (SVE), and native support for…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-20 Mosè Giordano , Milan Klöwer , Valentin Churavy

Machine learning as a discipline has seen an incredible surge of interest in recent years due in large part to a perfect storm of new theory, superior tooling, renewed interest in its capabilities. We present in this paper a framework named…

Algorithm NCL is designed for general smooth optimization problems where first and second derivatives are available, including problems whose constraints may not be linearly independent at a solution (i.e., do not satisfy the LICQ). It is…

Optimization and Control · Mathematics 2021-01-27 Ding Ma , Dominique Orban , Michael A. Saunders

We present PEPSKit.jl, a Julia package for simulating two-dimensional quantum many-body systems with infinite projected entangled-pair states (iPEPS). PEPSKit.jl builds on the TensorKit.jl package for tensor computations and provides…

Strongly Correlated Electrons · Physics 2026-05-20 Paul Brehmer , Lander Burgelman , Zheng-Yuan Yue , Gleb Fedorovich , Jutho Haegeman , Lukas Devos

Climate models must simulate hundreds of future scenarios for hundreds of years at coarse resolutions, and a handful of high-resolution decadal simulations to resolve localized extreme events. Using Oceananigans.jl, written from scratch in…

We introduce JuliQAOA, a simulation package specifically built for the Quantum Alternating Operator Ansatz (QAOA). JuliQAOA does not require a circuit-level description of QAOA problems, or another package to simulate such circuits, instead…

Quantum Physics · Physics 2023-12-12 John Golden , Andreas Bärtschi , Daniel O'Malley , Elijah Pelofske , Stephan Eidenbenz

It is critical to accurately simulate data when employing Monte Carlo techniques and evaluating statistical methodology. Measurements are often correlated and high dimensional in this era of big data, such as data obtained in…

This article introduces a software package release for geometrically reasoning about the \textit{safety} desiderata of (complex) dynamical systems via level set methods. In emphasis, safety is analyzed with Hamilton-Jacobi equations. In…

Mathematical Software · Computer Science 2025-07-17 Lekan Molu

In this paper, we present Insertus.jl, the Julia package that can help the user generate a randomization sequence of a given length for a multi-arm trial with a pre-specified target allocation ratio and assess the operating characteristics…

Methodology · Statistics 2024-07-22 Yevgen Ryeznik , Oleksandr Sverdlov

The hierarchical equations of motion (HEOM) approach can describe the reduced dynamics of a system simultaneously coupled to multiple bosonic and fermionic environments. The complexity of exactly describing the system-environment…

We introduce Lyceum, a high-performance computational ecosystem for robot learning. Lyceum is built on top of the Julia programming language and the MuJoCo physics simulator, combining the ease-of-use of a high-level programming language…

Robotics · Computer Science 2020-01-22 Colin Summers , Kendall Lowrey , Aravind Rajeswaran , Siddhartha Srinivasa , Emanuel Todorov