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# OpenFermion

Electronic structure package for quantum computers.

[![Compatible with Python versions 3.10 and higher](https://img.shields.io/badge/Python-3.10+-fcbc2c.svg?style=flat-square&logo=python&logoColor=white)](https://www.python.org/downloads/)
[![Licensed under the Apache 2.0 license](https://img.shields.io/badge/License-Apache%202.0-3c60b1.svg?logo=opensourceinitiative&logoColor=white&style=flat-square)](https://github.com/quantumlib/OpenFermion/blob/main/LICENSE)
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[Features](#features) &ndash;
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Nit - would the unicode ndash character work here as well?

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@mhucka mhucka Oct 9, 2025

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Yes; however, the reason I think the explicit &ndash; is preferrable is that in many fonts, the n-dash is very hard to distinguish visually from a hyphen (at least to my eyes), and leads to mixups when different people edit files. Unless you feel strongly about it, I would rather make it more clear to the reader that the longer dash is intended.

(Also, these don't have to be n-dashes necessarily; the goal is just to have a visible separator of some kind. Bullets also work, but I found that bullets vary in size and visibility between different fonts.)

[Installation](#installation) &ndash;
[Plugins](#plugins) &ndash;
[Documentation](#documentation) &ndash;
[Contributing](#contributing-to-openfermion) &ndash;
[Citing](#citing-openfermion) &ndash;
[Authors](#authors) &ndash;
[Contact](#contact)

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## Features

OpenFermion is an open-source Python package for compiling and analyzing quantum algorithms to
simulate fermionic systems, including quantum chemistry. Among other features, it includes data
structures and tools for obtaining and manipulating representations of fermionic and qubit
Hamiltonians. More information can be found in the [release
paper](https://arxiv.org/abs/1710.07629).

## Installation

Installing the latest **stable** OpenFermion requires the Python package installer
[pip](https://pip.pypa.io). (Make sure that you are using an up-to-date version of it.)

Currently, OpenFermion is tested on Mac, Windows, and Linux. We recommend using Mac or Linux because
the electronic structure plugins are only compatible on these platforms. However, for those who
would like to use Windows, or for anyone having other difficulties with installing OpenFermion or
its plugins, we provide instructions for creating and using a Docker image – see the
[`docker/`](https://github.com/quantumlib/OpenFermion/tree/main/docker) subdirectory. The Docker
image provides a virtual environment with OpenFermion and select plugins pre-installed. The Docker
installation should run on any operating system where Docker can be used.

### User installation

To install the latest PyPI release of OpenFermion as a Python package for the current user (which
avoids modifying system Python packages), run the following command:

```shell
python -m pip install --user openfermion
```

### Developer installation

To install the latest version of OpenFermion in development mode, run the following commands:

```shell
git clone https://github.com/quantumlib/OpenFermion
cd OpenFermion
python -m pip install -e .
```

## Plugins

OpenFermion relies on modular plugin packages for significant functionality. Specifically, plugins
are used to simulate and compile quantum circuits and to perform classical electronic structure
calculations. Follow the links below to learn more!

### High-performance simulators

* [OpenFermion-FQE](https://github.com/quantumlib/OpenFermion-FQE) is a high-performance emulator
of fermionic quantum evolutions specified by a sequence of fermion operators, which can exploit
fermionic symmetries such as spin and particle number.

### Circuit compilation plugins

* [Forest-OpenFermion](https://github.com/rigetticomputing/forestopenfermion) to support
integration with [Forest](https://www.rigetti.com/forest).
* [SFOpenBoson](https://github.com/XanaduAI/SFOpenBoson) to support integration with [Strawberry
Fields](https://github.com/XanaduAI/strawberryfields).

### Electronic structure package plugins

* [OpenFermion-Psi4](http://github.com/quantumlib/OpenFermion-Psi4) to support integration with
[Psi4](http://psicode.org).
* [OpenFermion-PySCF](http://github.com/quantumlib/OpenFermion-PySCF) to support integration with
[PySCF](https://github.com/sunqm/pyscf).
* [OpenFermion-Dirac](https://github.com/bsenjean/Openfermion-Dirac) to support integration with
[DIRAC](http://diracprogram.org/doku.php).
* [OpenFermion-QChem](https://github.com/qchemsoftware/OpenFermion-QChem) to support integration
with [Q-Chem](https://www.q-chem.com).

## Documentation

Documentation for OpenFermion can be found at
[quantumai.google/openfermion](https://quantumai.google/openfermion) and the following links:

* [Installation](https://quantumai.google/openfermion/install)
* [API Docs](https://quantumai.google/reference/python/openfermion/all_symbols)
* [Tutorials](https://quantumai.google/openfermion/tutorials/intro_to_openfermion)

You can run OpenFermion's interactive Jupyter Notebooks, such as the introductory tutorial, in
[Colab](https://colab.research.google.com/github/quantumlib/OpenFermion/blob/main/examples/intro_to_openfermion.ipynb)
or
[MyBinder](https://mybinder.org/v2/gh/quantumlib/OpenFermion/main?filepath=examples%2Fintro_to_openfermion.ipynb).

## Contributing to OpenFermion

We'd love to accept your contributions and patches to OpenFermion. There are a few small guidelines
you need to follow.

* Contributions to OpenFermion must be accompanied by a Contributor License Agreement (CLA). You
(or your employer) retain the copyright to your contribution; the CLA simply gives us permission
to use and redistribute your contributions as part of the OpenFermion project. Please visit
https://cla.developers.google.com/ to see your current agreements on file or to sign a new one.
* All submissions, including submissions by project members, require review. We use GitHub pull
requests for this purpose. Consult the appropriate [GitHub Help
documentation](https://help.github.com/articles/about-pull-requests/) for more information on
using pull requests.
* Please make sure your new code comes with extensive tests! We use automatic testing to make sure
all pull requests pass tests and do not decrease overall test coverage by too much.
* Please also make sure to follow the OpenFermion source code style. We mostly follow Python's
[PEP 8](https://www.python.org/dev/peps/pep-0008/) guidelines and use the corresponding
[linter](https://pypi.python.org/pypi/pep8) to check for it.
* Code should always be accompanied by documentation. Formatted OpenFermion documentation is
generated automatically and can be found [on the Quantum AI web
site](https://quantumai.google/openfermion).
* We use [GitHub issues](https://github.com/quantumlib/OpenFermion/issues) for tracking requests
and bugs. Please post questions to the [Quantum Computing Stack
Exchange](https://quantumcomputing.stackexchange.com/) with an `openfermion` tag.

## Citing OpenFermion<a name="how-to-cite-openfermion"></a><a name="how-to-cite"></a>

OpenFermion is the work of many people. When using OpenFermion for research projects, please cite
the [published paper](https://iopscience.iop.org/article/10.1088/2058-9565/ab8ebc/meta):

> Jarrod R McClean, Nicholas C Rubin, Kevin J Sung, Ian D Kivlichan, Xavier Bonet-Monroig, Yudong
> Cao, Chengyu Dai, E Schuyler Fried, Craig Gidney, Brendan Gimby, Pranav Gokhale, Thomas Häner,
> Tarini Hardikar, Vojtěch Havlíček, Oscar Higgott, Cupjin Huang, Josh Izaac, Zhang Jiang, Xinle
> Liu, Sam McArdle, Matthew Neeley, Thomas O'Brien, Bryan O'Gorman, Isil Ozfidan, Maxwell D Radin,
> Jhonathan Romero, Nicolas P D Sawaya, Bruno Senjean, Kanav Setia, Sukin Sim, Damian S Steiger,
> Mark Steudtner, Qiming Sun, Wei Sun, Daochen Wang, Fang Zhang, and Ryan Babbush. (2020).
> OpenFermion: The Electronic Structure Package for Quantum Computers. _Quantum Science and
> Technology_, 5(3), 034014.

For formatted citations and records in other formats, as well as records for all releases of OpenFermion
past and present, please visit the [OpenFermion page on Zenodo](https://zenodo.org/records/15604843).

## Authors

[Ryan Babbush](https://ryanbabbush.com) (Google),
[Jarrod McClean](https://jarrodmcclean.com) (Google),
[Nicholas Rubin](https://github.com/ncrubin) (Google),
[Kevin Sung](https://github.com/kevinsung) (University of Michigan),
[Ian Kivlichan](https://aspuru.chem.harvard.edu/ian-kivlichan/) (Harvard),
[Dave Bacon](https://github.com/dabacon) (Google),
[Xavier Bonet-Monroig](https://github.com/xabomon) (Leiden University),
[Yudong Cao](https://github.com/yudongcao) (Harvard),
[Chengyu Dai](https://github.com/jdaaph) (University of Michigan),
[E. Schuyler Fried](https://github.com/schuylerfried) (Harvard),
[Craig Gidney](https://github.com/Strilanc) (Google),
[Brendan Gimby](https://github.com/bgimby) (University of Michigan),
[Pranav Gokhale](https://github.com/singular-value) (University of Chicago),
[Thomas Häner](https://github.com/thomashaener) (ETH Zurich),
[Tarini Hardikar](https://github.com/TariniHardikar) (Dartmouth),
[Vojtĕch Havlíček](https://github.com/VojtaHavlicek) (Oxford),
[Oscar Higgott](https://github.com/oscarhiggott) (University College London),
[Cupjin Huang](https://github.com/pertoX4726) (University of Michigan),
[Josh Izaac](https://github.com/josh146) (Xanadu),
[Zhang Jiang](https://ti.arc.nasa.gov/profile/zjiang3) (NASA),
[William Kirby](https://williammkirby.com) (Tufts University),
[Xinle Liu](https://github.com/sheilaliuxl) (Google),
[Sam McArdle](https://github.com/sammcardle30) (Oxford),
[Matthew Neeley](https://github.com/maffoo) (Google),
[Thomas O'Brien](https://github.com/obriente) (Leiden University),
[Bryan O'Gorman](https://ti.arc.nasa.gov/profile/bogorman) (UC Berkeley, NASA),
[Isil Ozfidan](https://github.com/conta877) (D-Wave Systems),
[Max Radin](https://github.com/max-radin) (UC Santa Barbara),
[Jhonathan Romero](https://github.com/jromerofontalvo) (Harvard),
[Daniel Sank](https://github.com/DanielSank) (Google),
[Nicolas Sawaya](https://github.com/nicolassawaya) (Harvard),
[Bruno Senjean](https://github.com/bsenjean) (Leiden University),
[Kanav Setia](https://github.com/kanavsetia) (Dartmouth),
[Hannah Sim](https://github.com/hsim13372) (Harvard),
[Damian Steiger](https://github.com/damiansteiger) (ETH Zurich),
[Mark Steudtner](https://github.com/msteudtner) (Leiden University),
[Qiming Sun](https://github.com/sunqm) (Caltech),
[Wei Sun](https://github.com/Spaceenter) (Google),
[Daochen Wang](https://github.com/daochenw) (River Lane Research),
[Chris Winkler](https://github.com/quid256) (University of Chicago),
[Fang Zhang](https://github.com/fangzh-umich) (University of Michigan),
and [Emiel Koridon](https://github.com/Emieeel) (Leiden University).

We are happy to include future contributors as authors on later releases.

## Contact

For any questions or concerns not addressed here, please email [email protected].

## Disclaimer

This is not an officially-supported Google product. This project is not eligible for the [Google
Open Source Software Vulnerability Rewards
Program](https://bughunters.google.com/open-source-security).

Copyright 2017 The OpenFermion Developers.

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<img width="15%" alt="Google Quantum AI"
src="https://raw.githubusercontent.com/quantumlib/OpenFermion/refs/heads/main/docs/images/quantum-ai-vertical.svg">
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