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Analog Quantum Computers are promising tools for improving performance on applications such as modeling behavior of quantum materials, providing fast heuristic solutions to optimization problems, and simulating quantum systems. Due to the…

Quantum Physics · Physics 2024-07-31 Zachary Morrell , Marc Vuffray , Sidhant Misra , Carleton Coffrin

An introduction to the density matrix renormalization group is contained here, including coding examples. The focus of this code is on basic operations involved in tensor network computations, and this forms the foundation of the DMRjulia…

Quantum Physics · Physics 2021-09-08 Thomas E. Baker , Martin P. Thompson

TensorKit.jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to…

Mathematical Software · Computer Science 2025-08-15 Lukas Devos , Jutho Haegeman

We introduce TensorMixedStates, a Julia library built on top of ITensor which allows the simulation of quantum systems in the presence of dissipation using matrix product states (MPS). It offers three key features: i) it implements the MPS…

Quantum Physics · Physics 2026-05-19 Jérôme Houdayer , Grégoire Misguich

InvertibleNetworks.jl is a Julia package designed for the scalable implementation of normalizing flows, a method for density estimation and sampling in high-dimensional distributions. This package excels in memory efficiency by leveraging…

Machine Learning · Computer Science 2023-12-22 Rafael Orozco , Philipp Witte , Mathias Louboutin , Ali Siahkoohi , Gabrio Rizzuti , Bas Peters , Felix J. Herrmann

The Tensor Network Quantum Virtual Machine (TNQVM) is a high-performance classical circuit simulation backend for the eXtreme-scale ACCelerator (XACC) framework that leverages the Intelligent Tensor (ITensor) library for tensor…

Quantum Physics · Physics 2026-03-31 Zachary W. Windom , Daniel Claudino , Vicente Leyton-Ortega

Detailed notes on the functions included in the DMRjulia library are included here. This discussion of how to program functions for a tensor network library are intended to be a supplement to the other documentation dedicated to explaining…

Quantum Physics · Physics 2021-11-30 Thomas E. Baker , Martin P. Thompson

We introduce SignatureTensors.jl, a new package for computing signature tensors of paths in julia. We present its core functionality and demonstrate its use through illustrative examples. The package is compatible with the computer algebra…

Symbolic Computation · Computer Science 2026-04-22 Gabriel Riffo , Leonard Schmitz

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann

Tensor network (TN), a young mathematical tool of high vitality and great potential, has been undergoing extremely rapid developments in the last two decades, gaining tremendous success in condensed matter physics, atomic physics, quantum…

Computational Physics · Physics 2020-01-31 Shi-Ju Ran , Emanuele Tirrito , Cheng Peng , Xi Chen , Luca Tagliacozzo , Gang Su , Maciej Lewenstein

Tensor Networks are graph representations of summation expressions in which vertices represent tensors and edges represent tensor indices or vector spaces. In this work, we present EinExprs.jl, a Julia package for contraction path…

Quantum Physics · Physics 2024-03-28 Sergio Sanchez-Ramirez , Jofre Vallès-Muns , Artur Garcia-Saez

MomentClosure.jl is a Julia package providing automated derivation of the time-evolution equations of the moments of molecule numbers for virtually any chemical reaction network using a wide range of moment closure approximations. It…

Molecular Networks · Quantitative Biology 2021-05-13 Augustinas Sukys , Ramon Grima

Proprietary closed-source software is still the norm in advanced process control. Transparency and reproducibility are key aspects of scientific research. Free and open-source toolkit can contribute to the development, sharing and…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Francis Gagnon , Alex Thivierge , André Desbiens , Fredrik Bagge Carlson

Numerical investigations are an important research tool in quantum information theory. There already exists a wide range of computational tools for quantum information theory implemented in various programming languages. However, there is…

Quantum Physics · Physics 2019-01-01 Piotr Gawron , Dariusz Kurzyk , Łukasz Pawela

The integration of converter-interfaced generation (CIG) from renewable energy sources poses challenges to the stability and transient behavior of electric power systems. Understanding the dynamic behavior of low-inertia power systems is…

Systems and Control · Electrical Eng. & Systems 2020-03-09 Rodrigo Henriquez-Auba , Jose D. Lara , Ciaran Roberts , Nathan Pallo , Duncan S. Callaway

We develop a tensor network technique that can solve universal reversible classical computational problems, formulated as vertex models on a square lattice [Nat. Commun. 8, 15303 (2017)]. By encoding the truth table of each vertex…

Statistical Mechanics · Physics 2018-03-09 Zhi-Cheng Yang , Stefanos Kourtis , Claudio Chamon , Eduardo R. Mucciolo , Andrei E. Ruckenstein

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

In recent years, tree tensor network methods have proven capable of simulating quantum many-body and other high-dimensional systems. This work is a user guide to our Python library PyTreeNet. It includes code examples and exercises to…

Quantum Physics · Physics 2024-07-19 Richard M. Milbradt , Qunsheng Huang , Christian B. Mendl

The MPSDynamics.jl package provides an easy to use interface for performing open quantum systems simulations at zero and finite temperatures. The package has been developed with the aim of studying non-Markovian open system dynamics using…

Quantum Physics · Physics 2024-09-11 Thibaut Lacroix , Brieuc Le Dé , Angela Riva , Angus J. Dunnett , Alex W. Chin

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
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