QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems

Alberto Mercurio; Yi-Te Huang; Li-Xun Cai; Yueh-Nan Chen; Vincenzo Savona; Franco Nori

doi:10.22331/q-2025-09-29-1866

QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems

Alberto Mercurio^1,2, Yi-Te Huang^3,4,5, Li-Xun Cai^3,4, Yueh-Nan Chen^3,4,6, Vincenzo Savona^1,2, and Franco Nori^5,7

¹Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
²Center for Quantum Science and Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
³Department of Physics, National Cheng Kung University, Tainan 701401, Taiwan
⁴Center for Quantum Frontiers of Research and Technology (QFort), Tainan 701401, Taiwan
⁵RIKEN Center for Quantum Computing, RIKEN, Wakoshi, Saitama 351-0198, Japan
⁶Physics Division, National Center for Theoretical Sciences, Taipei 106319, Taiwan
⁷Physics Department, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA.

Published:	2025-09-29, volume 9, page 1866
Editor:	Francesco Ciccarello
Eprint:	arXiv:2504.21440v2
Doi:	https://doi.org/10.22331/q-2025-09-29-1866
Citation:	Quantum 9, 1866 (2025).

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Abstract

We present $\tt{QuantumToolbox.jl}$, an open-source Julia package for simulating open quantum systems. Designed with a syntax familiar to users of $\tt{QuTiP}$ (Quantum Toolbox in Python), it harnesses Julia's high-performance ecosystem to deliver fast and scalable simulations. The package includes a suite of time-evolution solvers supporting distributed computing and GPU acceleration, enabling efficient simulation of large-scale quantum systems. We also show how $\tt{QuantumToolbox.jl}$ can integrate with automatic differentiation tools, making it well-suited for gradient-based optimization tasks such as quantum optimal control. Benchmark comparisons demonstrate substantial performance gains over existing frameworks. With its flexible design and computational efficiency, $\tt{QuantumToolbox.jl}$ serves as a powerful tool for both theoretical studies and practical applications in quantum science.

Visit our GitHub repository.

Popular summary

Simulating quantum devices is one of the toughest challenges in modern science: the calculations grow so quickly that even powerful computers struggle. Yet these simulations are essential for designing future quantum technologies.

QuantumToolbox.jl is a new open-source software package that makes this task much more practical. Built in the Julia programming language, it combines easy-to-use commands with the speed of high-performance computing. It can run on laptops, GPUs, or supercomputers, and it includes tools for everything from modeling noise to optimizing control pulses in quantum experiments.

By making large-scale simulations faster and more flexible, QuantumToolbox.jl lowers a major barrier in quantum research, helping scientists explore new ideas and accelerate the path toward real-world quantum technologies.

► BibTeX data

@article{Mercurio2025quantumtoolboxjl,
  doi = {10.22331/q-2025-09-29-1866},
  url = {https://doi.org/10.22331/q-2025-09-29-1866},
  title = {Quantum{T}oolbox.jl: {A}n efficient {J}ulia framework for simulating open quantum systems},
  author = {Mercurio, Alberto and Huang, Yi-Te and Cai, Li-Xun and Chen, Yueh-Nan and Savona, Vincenzo and Nori, Franco},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {9},
  pages = {1866},
  month = sep,
  year = {2025}
}

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