https://github.com/qi-rub/pyfermions

Rigorous free fermion entanglement renormalization from wavelet theory
https://github.com/qi-rub/pyfermions

free-fermions mera quantum-physics renormalization tns

Last synced: 1 day ago
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Rigorous free fermion entanglement renormalization from wavelet theory

• Host: GitHub
• URL: https://github.com/qi-rub/pyfermions
• Owner: qi-rub
• License: mit
• Created: 2017-05-27T20:13:45.000Z (over 7 years ago)
• Default Branch: master
• Last Pushed: 2023-07-02T17:51:07.000Z (about 1 year ago)
• Last Synced: 2023-12-19T17:45:42.281Z (9 months ago)
• Topics: free-fermions, mera, quantum-physics, renormalization, tns
• Language: Jupyter Notebook
• Homepage: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.8.011003
• Size: 14.4 MB
• Stars: 17
• Watchers: 6
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# pyfermions ![Python 3.8+](https://img.shields.io/badge/python-3.8%2B-brightgreen.svg) [![arXiv](http://img.shields.io/badge/arXiv-1707.06243-blue.svg?style=flat)](http://arxiv.org/abs/1707.06243) [![arXiv](http://img.shields.io/badge/arXiv-1905.08821-blue.svg?style=flat)](https://arxiv.org/abs/1905.08821) [![arXiv](http://img.shields.io/badge/arXiv-2004.11952-blue.svg?style=flat)](https://arxiv.org/abs/2004.11952) [![Latest Version](https://img.shields.io/pypi/v/pyfermions.svg)](https://pypi.python.org/pypi/pyfermions/)

A Python package for rigorous free fermionic (and bosonic) entanglement renormalization from wavelet theory.

[![MERA for 1D free-fermion nearest-neighbor hopping Hamiltonian](https://github.com/qi-rub/pyfermions/raw/master/docs/mera1d.png)](https://github.com/qi-rub/pyfermions/tree/master/notebooks/mera1d.ipynb) [![Branching MERA for 2D free-fermion nearest-neighbor hopping Hamiltonian](https://github.com/qi-rub/pyfermions/raw/master/docs/mera2d.png)](https://github.com/qi-rub/pyfermions/tree/master/notebooks/mera2d.ipynb)

For details, please see the following three papers:

* [Rigorous free-fermion entanglement renormalization from wavelet theory](https://arxiv.org/abs/1707.06243):

    ```

    @article{latticefermions,

      title={Rigorous free-fermion entanglement renormalization from wavelet theory}

      author={Jutho Haegeman and Brian Swingle and Michael Walter and Jordan Cotler and Glen Evenbly and Volkher B. Scholz},

      journal={Phys. Rev. X},

      year={2018},

      volume={8},

      pages={011003},

      doi={10.1103/PhysRevX.8.011003},

      eprint={1707.06243},

    }

    ```

* [Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions](https://arxiv.org/abs/1905.08821):

    ```

    @article{diracfermions,

      title={Quantum circuit approximations and entanglement renormalization for the {D}irac field in 1+1 dimensions},

      author={Freek Witteveen and Volkher Scholz and Brian Swingle and Michael Walter},

      journal={Commun. Math. Phys.},

      year={2021},

      doi={10.1007/s00220-021-04274-w},

      eprint={1905.08821},

    }

    ```

* [Bosonic entanglement renormalization circuits from wavelet theory](https://arxiv.org/abs/2004.11952):

    ```

    @article{freebosons,

      title={Bosonic entanglement renormalization circuits from wavelet theory},

      author={Freek Witteveen and Michael Walter},

      journal={SciPost Phys.},

      year={2021},

      volume={10},

      issue={6},

      pages={143},

      doi={10.21468/SciPostPhys.10.6.143},

      eprint={2004.11952},

    }

    ```

## Installation

To install the latest released version from PyPI:

```

pip install pyfermions

```

To install the bleeding-edge development version (likely unstable):

```

pip install git+git://github.com/qi-rub/pyfermions

```

## Getting Started

Now download and explore some of the [Jupyter notebooks](https://github.com/qi-rub/pyfermions/tree/master/notebooks).

The [mera1d](https://github.com/qi-rub/pyfermions/tree/master/notebooks/mera1d.ipynb) notebook is a good starting point.

## Contributing

The contributors are listed [here](https://github.com/qi-rub/pyfermions/tree/master/CONTRIBUTORS).

```

git clone git://github.com/qi-rub/pyfermions

cd pyfermions

pip install -e .[dev]

```