1W-QKD using QWs on circles and hypercubes

Overview

This repository presents a One-Way Quantum Key Distribution (1W-QKD) protocol that leverages Quantum Walks (QWs) on two primary structures:

• Circles, where quantum states evolve over a $2P$ dimensional position space;
• Hypercubes, where quantum states occupy a $2^P$ dimensional vertex space.

These QW-based approaches aim to enhance the security and efficiency of QKD protocols.

Key features

• QWs:

  • Simulations of QWs for state preparation and evolution;
  • Flexible configuration of dimensions and steps.

• Basis choices:

  • Alice and Bob independently select measurement bases for secure key generation.

• Noise robustness:

  • The protocol models noise and evaluates the impact on quantum error rates (QER).

Simulations

The implementation is available as Jupyter Notebook files (.ipynb), providing:

• Simulations of the protocol under various parameter settings;
• Visualization of key metrics like error rates and noise tolerance.

To run the simulations, simply execute the provided notebooks and modify parameters to explore different scenarios.

Installation and Usage

Prerequisites

• Python 3.8+
• Jupyter Notebook
• Qiskit and NumPy

Running the Notebooks

1. Clone the repository and install dependencies;
2. Open the .ipynb files in Jupyter Notebook or JupyterLab;
3. Execute the cells to view results and analyze the protocol.

Notes

• The .ipynb files contain all simulation code and results;
• For detailed explanations, refer to inline comments in the notebooks.