Transversal dimension jump for product qLDPC codes

This repo contains the code for simulations in "Transversal dimension jump for product qLDPC codes" -- https://arxiv.org/abs/2510.07269

Includes:

• constructions of product qLDPC codes, including HGP and lifted product
• homomorphic CNOT construction
• CCZ operator construction
• memory experiment
• teleporation experiment
• CCZ error detection experiment

Repository structure

.
├── README.md
├── notebooks
│   ├── 0_code_generation.ipynb
│   ├── 1_memory_experiments.ipynb
│   ├── 2_teleportation_experiments.ipynb
│   └── 3_ccz_error_detection_simulations.ipynb
├── data
│   ├── gamma_0_dict.pkl
│   ├── gamma_1_dict.pkl
│   ├── gamma_2_dict.pkl
│   ├── gamma_3_dict.pkl
│   ├── hx_dict_2d.pkl
│   ├── hx_dict_3d.pkl
│   ├── hz_dict_2d.pkl
│   └── hz_dict_3d.pkl
└── src
    ├── BP_codes_sage.py
    ├── BP_cup_prod.py
    ├── CCZCircuit.py
    ├── CircuitScheduling.py
    ├── CodeGeneration.py
    ├── Decoders_SpaceTime.py
    ├── DistanceEst.py
    ├── ErrorPlugin.py
    ├── PCCZMatrix.py
    ├── QECCircuits.py
    ├── SingleStageDecoding.py
    ├── TeleportationCircuit.py
    └── utilities.py
├── requirements_py312.txt
├── requirements_py37.txt

Requirements

• 0_code_generation.ipynb: Python 3.12, requirements_py312.txt, SageMath, GAP, QDistRnd
• 1_memory_experiments.ipynb: Python 3.12, requirements_py312.txt
• 2_teleportation_experiments: Python 3.7, requirements_py37.txt
• 3_ccz_error_detection_simulations: Python 3.12, requirements_py312.txt

Citing

@misc{li2025transversaldimensionjumpproduct,
      title={Transversal dimension jump for product qLDPC codes}, 
      author={Christine Li and John Preskill and Qian Xu},
      year={2025},
      eprint={2510.07269},
      archivePrefix={arXiv},
      primaryClass={quant-ph},
      url={https://arxiv.org/abs/2510.07269}, 
}