Quantum Bit Threads and the Entropohedron
Abstract
We derive several new quantum bit thread prescriptions for holographic entanglement entropy, equivalent for static states to the quantum extremal surface formula. Our new prescriptions come in many varieties: vector field-based or based on measures over bulk curves, dependent or independent of the bulk UV regulator, loose and strict versions of constraints, and more. We also explore how bit threads behave in the presence of entanglement islands and baby universes. Finally, our prescriptions inspire new measures of entanglement that we call entanglement distribution functions, which can be packaged into a convex polytope that we call the entropohedron.
Cite
@article{arxiv.2510.22601,
title = {Quantum Bit Threads and the Entropohedron},
author = {Matthew Headrick and Sreeman Reddy Kasireddy and Andrew Rolph},
journal= {arXiv preprint arXiv:2510.22601},
year = {2026}
}
Comments
68 pages. Video abstract available at https://youtu.be/xSyRAXkPpdw. v2: minor corrections and improvements to presentation