Data for "Critical non-equilibrium phases from noisy topological memories" (arXiv:2601.10792)

# Completely Packed Loop Code (CPLC) — Data and Analysis

Data and analysis notebooks used to produce figures in the paper **"Critical non-equilibrium phases from noisy topological memories"** ([arXiv:2601.10792](https://arxiv.org/abs/2601.10792)), by autgors Amir-Reza Negari, Subhayan Sahu, Jan Behrends, Benjamin Béri, Timothy H. Hsieh.

The simulation code that generated this data is available on GitHub. https://github.com/subhayansahu/CompletelyPackedLoopsQEC

## Contents

```

CompletelyPackedLoopsQEC_data/

├── QECPlots.ipynb # Phase diagram and coherent information figures

├── CMIPlots.ipynb # CMI/MIE figures (global, local, pairwise, Markov length)

├── SurfaceCodeFigures.ipynb # Surface code schematic figures

└── data/

├── QEC_PhaseDiagram_*.csv # 2D phase-diagram heatmaps (p, q ∈ [0,1])

├── QEC_transition_*.csv # 1D transition cuts at q = 0.1

├── QEC_transition_finer_*.csv # Fine-resolution transition scans

├── QEC_left_bdy_*.csv # Left-boundary coherent information

├── QEC_bottom_bdy_*.csv # Bottom-boundary coherent information

├── CoherentInfo*_fixedR.csv # Fixed-R coherent information data

├── aggregated_mu_results.csv # Aggregated mean results

├── cplc_cmi_data.npz # Processed CMI/MIE data (numpy format)

└── cplc_cmi_scales/ # Raw CMI data vs system size L,

# for p ∈ [0.45, 0.65], q = 0.1

```

## Usage

The notebooks expect data files to be in the `data/` subdirectory (paths are already configured). Open with a Python kernel from the `CompletelyPackedLoopsQEC_data/` directory:

```bash

jupyter notebook QECPlots.ipynb

jupyter notebook CMIPlots.ipynb

jupyter notebook SurfaceCodeFigures.ipynb

```

### Dependencies

- Python ≥ 3.9

- Packages: `numpy`, `matplotlib`, `scipy`, `pandas`

```bash

pip install numpy matplotlib scipy pandas

```

## Citation

If you use this data or notebooks, please cite:

```bibtex

@misc{negari2026criticalnonequilibriumphasesnoisy,

title={Critical non-equilibrium phases from noisy topological memories},

author={Amir-Reza Negari and Subhayan Sahu and Jan Behrends and Benjamin Béri and Timothy H. Hsieh},

year={2026},

eprint={2601.10792},

archivePrefix={arXiv},

primaryClass={quant-ph},

url={https://arxiv.org/abs/2601.10792},

}

```