Code for quantum gates from homogeneous spaces

This repository contains the code for Geometric Quantum Machine Learning with Horizontal Quantum Gates by Roeland Wiersema, Alexander F. Kemper, Bojko N. Bakalov, Nathan Killoran

Arxiv link: https://arxiv.org/abs/2406.04418

Install Python 3.9,

conda create --prefix=./homspace python==3.9

and install the requirements,

conda activate ./homspace
pip install -r requirements.txt

One can then run the scripts FIG1_su2.py, FIG2_compare_gates.py and FIG3_blochsphere.py to reproduce the figures of the paper. One can also run

python reproduce_figures.py

to produce all the data and plots automatically.

The notebook A zoo of quantum gates.ipynb contains a variety of methods to construct the horizontal subspace generated by a symmetry $K$ acting on a Lie group $G$.