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QuTiP: Quantum Toolbox in Python

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QuTiP: Quantum Toolbox in Python

A. Pitchford, C. Granade, A. Grimsmo, N. Shammah, S. Ahmed, N. Lambert, E. Giguère, B. Li, J. Lishman, P. D. Nation, and J. R. Johansson

QuTiP is open-source software for simulating the dynamics of closed and open quantum systems. The QuTiP library uses the excellent Numpy, Scipy, and Cython packages as numerical backend, and graphical output is provided by Matplotlib. QuTiP aims to provide user-friendly and efficient numerical simulations of a wide variety of quantum mechanical problems, including those with Hamiltonians and/or collapse operators with arbitrary time-dependence, commonly found in a wide range of physics applications. QuTiP is freely available for use and/or modification, and it can be used on all Unix-based platforms and on Windows. Being free of any licensing fees, QuTiP is ideal for exploring quantum mechanics in research as well as in the classroom.

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QuTiP development is supported by Nori's lab at RIKEN, by the University of Sherbrooke, and by Aberystwyth University, among other supporting organizations.


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The official releases of QuTiP can be downloaded at:


For instructions on how to install QuTiP, see:

Run notebooks online

A selection of demonstration notebooks is available at and can be run online here: Binder

or may be found at:


The documentation for official releases, in HTML and PDF formats, are available at:

and the development documentation is available at


You are most welcome to contribute to QuTiP development by forking this repository and sending pull requests, or filing bug reports at the issues page, or send us bug reports, questions, or your proposed changes to our QuTiP discussion group.

All contributions are acknowledged in the contributors section in the documentation.

Note that all contributions must adhere to the PEP 8 -- Style Guide for Python Code.

For more information, including technical advice, please see Contributing to QuTiP development.


For release notes and a change log, see the changelog section in the documentation.



You are free to use this software, with or without modification, provided that the conditions listed in the LICENSE.txt file are satisfied.

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