parton-quark/Multiplexed_HGP

Multiplexed HGP Codes on Erasure Channel

This is a Python implementation of multiplexed HGP codes simulator.

Simulation Flow

You can simulate the multiplexed quantum communication with HGP code. This implementation use part of Pruned-Peeling-and-VH-Decoder repository included with "Fast erasure decoder for a class of quantum LDPC codes" with the permission of the contributors.

Simulation flows are in this jupyter notebook.

folders

• input_matrices includes the classical parity check matrices used to generate HGP codes for our numerical simulations.
• results includes the raw data for the simulation.
• scripts includes Slurm scripts for running multiple shots of simulations

Requirements (modules)

• bidict
• json
• numpy
• itertools

Citation

ArXiv submission is available at HERE. For the citation of this work, please use this bibtex file.

@misc{nishio2024multiplexed,
      title={Multiplexed Quantum Communication with Surface and Hypergraph Product Codes}, 
      author={Shin Nishio and Nicholas Connolly and Nicolò Lo Piparo and William John Munro and Thomas Rowan Scruby and Kae Nemoto},
      year={2024},
      eprint={2406.08832},
      archivePrefix={arXiv},
      primaryClass={id='quant-ph' full_name='Quantum Physics' is_active=True alt_name=None in_archive='quant-ph' is_general=False description=None}
}

If you have any question on this implementation, send email to parton(at)nii.ac.jp (Shin Nishio).