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We present the Julia package PauliStrings ( https://github.com/nicolasloizeau/PauliStrings.jl ) for quantum many-body simulations, which performs fast operations on the Pauli group by encoding Pauli strings in binary. All of the Pauli…

Quantum Physics · Physics 2025-03-26 Nicolas Loizeau , J. Clayton Peacock , Dries Sels

We introduce ACEpotentials.jl, a Julia-language software package that constructs interatomic potentials from quantum mechanical reference data using the Atomic Cluster Expansion (Drautz, 2019). As the latter provides a complete description…

The growing proliferation of FPGAs and High-level Synthesis (HLS) tools has led to a large interest in designing hardware accelerators for complex operations and algorithms. However, existing HLS toolflows typically require a significant…

Software Engineering · Computer Science 2022-02-18 Benjamin Biggs , Ian McInerney , Eric C. Kerrigan , George A. Constantinides

Quantum simulation is a leading candidate for demonstrating practical quantum advantage over classical computation, as it is believed to provide exponentially more compute power than any classical system. It offers new means of studying the…

Quantum Physics · Physics 2026-01-23 Maja Franz , Lukas Schmidbauer , Joshua Ammermann , Ina Schaefer , Wolfgang Mauerer

This paper demonstrates how certified computational tools can be used to address various problems in control theory. In particular, we introduce PACE.jl, a Julia package that implements symbolic elimination techniques, including (among…

Symbolic Computation · Computer Science 2025-05-15 Alexander Demin , Christina Katsamaki , Fabrice Rouillier

The development of new electronic structure methods is a very time consuming and error prone process when done by hand. SpinAdaptedSecondQuantization is an open-source Julia package we have developed for working with automated electronic…

Chemical Physics · Physics 2025-08-26 Marcus T. Lexander , Tor S. Haugland , Federico Rossi , Henrik Koch

Julia is a new language for writing data analysis programs that are easy to implement and run at high performance. Similarly, the Dynamic Distributed Dimensional Data Model (D4M) aims to clarify data analysis operations while retaining…

Mathematical Software · Computer Science 2016-12-13 Alexander Chen , Alan Edelman , Jeremy Kepner , Vijay Gadepally , Dylan Hutchison

Languages, compilers, and computer-aided design tools will be essential for scalable quantum computing, which promises an exponential leap in our ability to execute complex tasks. LIQUi|> is a modular software architecture designed to…

Quantum Physics · Physics 2014-02-20 Dave Wecker , Krysta M. Svore

TopologicalNumbers.jl is an open-source Julia package designed to calculate topological invariants, mathematical quantities that characterize the properties of materials in condensed matter physics. These invariants, such as the Chern…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Keisuke Adachi , Minoru Kanega

The ZX-calculus was introduced as a graphical language able to represent specific quantum primitives in an intuitive way. The recent completeness results have shown the theoretical possibility of a purely graphical description of quantum…

Quantum Physics · Physics 2021-09-14 Titouan Carette , Yohann D'Anello , Simon Perdrix

We present the MPS-JuliQAOA simulator, a user-friendly, open-source tool to simulate the Quantum Approximate Optimization Algorithm (QAOA) of any optimization problem that can be expressed as diagonal Hamiltonian. By leveraging…

Quantum Physics · Physics 2025-08-11 Sean Feeney , Reuben Tate , John Golden , Stephan Eidenbenz

HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jan Košata , Javier del Pino , Toni L. Heugel , Oded Zilberberg

We introduce TensorFlow Quantum (TFQ), an open source library for the rapid prototyping of hybrid quantum-classical models for classical or quantum data. This framework offers high-level abstractions for the design and training of both…

We present conditions for the efficient simulation of a broad class of optical quantum circuits on a classical machine: this class includes unitary transformations, amplification, noise, and measurements. Various proposed schemes for…

Quantum Physics · Physics 2007-05-23 Stephen D. Bartlett , Barry C. Sanders

The objective of this paper is to develop a functional programming language for quantum computers. We develop a lambda calculus for the classical control model, following the first author's work on quantum flow-charts. We define a…

Logic in Computer Science · Computer Science 2009-02-26 Peter Selinger , Benoit Valiron

We evaluate Julia as a single language and ecosystem paradigm powered by LLVM to develop workflow components for high-performance computing. We run a Gray-Scott, 2-variable diffusion-reaction application using a memory-bound, 7-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-29 William F. Godoy , Pedro Valero-Lara , Caira Anderson , Katrina W. Lee , Ana Gainaru , Rafael Ferreira da Silva , Jeffrey S. Vetter

We develop a framework which aims to simplify the analysis of quantum states and quantum operations by harnessing the potential of function programming paradigm. We show that the introduced framework allows a seamless manipulation of…

Quantum Physics · Physics 2013-07-19 Jarosław Adam Miszczak

We set down the principles behind a modeling language for quantum software. We present a minimal set of extensions to the well-known Unified Modeling Language (UML) that allows it to effectively model quantum software. These extensions are…

Quantum Physics · Physics 2020-07-01 Carlos A. Perez-Delgado , Hector G. Perez-Gonzalez

Quantum assembly languages are machine-independent languages that traditionally describe quantum computation in the circuit model. Open quantum assembly language (OpenQASM 2) was proposed as an imperative programming language for quantum…

GPUs and other accelerators are popular devices for accelerating compute-intensive, parallelizable applications. However, programming these devices is a difficult task. Writing efficient device code is challenging, and is typically done in…

Programming Languages · Computer Science 2018-10-23 Tim Besard , Christophe Foket , Bjorn De Sutter
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