Please read the following before using the code:

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📡 Graph-State-Generation-Project

This repository contains the complete code used in the paper: 🔗 [https://arxiv.org/abs/2412.04252]

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📦 Installation

Clone the repository:

git clone https://github.com/your-username/Graph-State-Generation-Project.git
cd Graph-State-Generation-Project

Install required dependencies:

pip install networkx matplotlib numpy jupyter

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🧰 Dependencies

• networkx
• numpy
• matplotlib
• jupyter
• Standard Python libraries

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📁 Project Structure

.
├── calculate_gates_bell_paris_main.py   # Core functions for data & plots
├── Run_statistics.ipynb                 # Main notebook to generate results
├── Bell_Pair_Sources_fix_P_ER.py        # ER (Erdős–Rényi) simulations for Bell-pair sources
├── Bell_Pair_Sources_fix_C_BA.py        # BA (Barabási–Albert) simulations for Bell-pair sources
├── Bell_Pair_vs_GHZ_Building_Block.py   # Bell vs GHZ (star topology)
└── README.md

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🚀 Usage

1. Setup

Ensure all files are in the same directory.

2. Generate Data

Run the notebook:

jupyter notebook Run_statistics.ipynb

This will:

• Generate all datasets except for Bell-pair sources.
• Reproduce figures from the paper

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📊 Core Functionality

The main script:

calculate_gates_bell_paris_main.py

Provides functions to:

• Perform gate and Bell-pair analysis
• Generate plots used in the paper except for Bell-pair sources.

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🔗 Bell Pair Source Simulations

Perform Bell-pair sources analysis:

Erdős–Rényi (ER)

python Bell_Pair_Sources_fix_P_ER.py

Barabási–Albert (BA)

python Bell_Pair_Sources_fix_C_BA.py

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⭐ Bell Pairs vs GHZ States

Study of Bell pairs and GHZ states as building blocks in a star topology:

python Bell_Pair_vs_GHZ_Building_Block.py

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📖 Citation

If you use this code in your research, please cite the following paper:

@misc{CKVL2024,
      title={A resource- and computationally-efficient protocol for multipartite entanglement distribution in Bell-pair networks}, 
      author={S. Siddardha Chelluri and Sumeet Khatri and Peter van Loock},
      year={2025},
      eprint={2412.04252},
      archivePrefix={arXiv},
      primaryClass={quant-ph},
      url={https://arxiv.org/abs/2412.04252}, 
}

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🤝 Contributing

Contributions, issues, and suggestions are welcome! Feel free to open a pull request or issue.

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