dm Stiefel

convex roof extension via manifold optimization over Stiefel manifold.

This repository is to support arxiv paper ""

quick start

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:

pip install numqi

Then, clone this repository and cd into the directory

git clone [email protected]: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.