Monogamy of Mutual Information in Graph States Data Repository

Introduction

Data files accompanying the paper Monogamy of Mutual Information in Graph States (arXiv:2511.19585) by Jesus Fuentes, Cynthia Keeler, William Munizzi, and Jason Pollack. This repository consolidates every function needed to reproduce the monogamy of mutual information (MMI) study on stabilizer and graph states.

Contents

1. Data/MMI-Failure-Stars-n=8
   • Complete data on the MMI violation of graph states at (n = 8), including canonical representatives and evaluation logs.
2. Notebooks/MMIFailureGraphsState.nb
   • A comprehensive functionality notebook that instructs and demonstrates the functions most relevant to the project, alongside additional exploratory tools.
   • Capabilities showcased in the notebook span state generation, tableaux representation creation and manipulation, entropy vector computation in tableau, graph, and foliage representations, entropy-vector symmetrization, unique-orbit extraction, entropy inequality verification, and Mathematica Graph object to TikZ conversion (with table generation and styling utilities).
3. Package/MMI-Failure-For-Graph-States.wl
   • A ready-to-deploy Mathematica package bundling all function definitions, usage messages, and helper utilities highlighted in the notebook.

Usage Notes

• Open Notebooks/MMIFailureGraphsState.nb in Mathematica to follow guided examples and reproduce the main simulations from the paper.
• Load the package in a Mathematica session with:

  Get[FileNameJoin[{NotebookDirectory[], "MMI-Failure-For-Graph-States.wl"}]];

  After loading, evaluate ?SymbolName (for example ?GenerateStabilizerStates) to view usage instructions for public functions.

Entropy Vector HTML Library

• Pre-rendered entropy tables and graph previews live in entropy/. Open entropy/index.html to browse the global catalog or entropy/<table-id>/index.html for a specific family (for example, entropy/minimalStarNonTFailSvecs/index.html).
• Each card links to a per-graph page containing the reduced entropy vector, a copy-to-clipboard shortcut, and a thumbnail of the underlying graph (all thumbnails are stored centrally in entropy/images/).

Citation

If you use this repository, please cite the associated paper (Monogamy of Mutual Information in Graph States, arXiv:2511.19585 ) and acknowledge the authors, Jesus Fuentes, Cynthia Keeler, William Munizzi, and Jason Pollack. See NOTICE.