dm Stiefel

This is the repository for the paper "Unified Framework for Calculating Convex Roof Resource Measures". arxiv-link

🚀 Exciting News! We've launched the numqi package github/numqi, combining all the functionalities of this repository and even more! 🌟 To dive into these features, just install numqi using pip install numqi, and explore the relevant functions within the package. 🛠️

quick start

Most of functions in this repository have been merged into numqi package while this repository is mainly kept for reproducing all results of the paper, below are a series of tutorials related. In the following links, click on open-in-colab, then you can directly run all the python code in your browser, no need to install anything on your laptop.

1. doc-link Pure state decomposition
2. doc-link Entanglement of formation
3. doc-link Lienar entropy of entanglement
4. doc-link Magic resource: stabilizer purity
5. doc-link Cohernce of formation
6. doc-link Geometric measure of coherence

This project is based on numqi package github-link, which is a package for numerical optimization for quantum information. To install numqi, run the following command (see numqi-doc for detailed installation instruction):

pip install numqi

Then, clone this repository and cd into the directory

git clone git@github.com:numqi/dm-stiefel.git
cd dm-stiefel

To verify the installation, run the following command

pytest

and you should see all tests passed like below:

> pytest
============================ test session starts =================
platform linux -- Python 3.12.3, pytest-8.2.0, pluggy-1.5.0
rootdir: ~/project/dm-stiefel
collected 7 items

test_utils.py .......                                       [100%]
==================================================================

then you are ready to go! please try the jupyter notebook paper_data.ipynb to reproduce the data in the paper. Some figures are generated in the script file draft_fig00.py.

There are more script files for various experiments in the paper.

1. draft_coherence.py: geometric measure of coherence, coherence of formation
2. draft_magic.py: stabilizer entropy
3. draft_linear_entropy.py: linear entropy of entanglement
4. draft_gme.py: geometric measure of entanglement
5. draft_3tangle.py: 3-tangle
6. draft_misc.py: miscellaneous

License

This project is licensed under the MIT License - see the LICENSE file for details.