Perfect tensor hyperthreads

TL;DR

This paper introduces hyperthreads, a generalization of bit threads, to analyze multipartite entanglement in holographic systems, offering new tools for understanding entropy inequalities and locking phenomena.

Contribution

It proposes a new hyperthread framework connecting multiple boundary regions, extending the bit thread approach for probing multipartite entanglement in holography.

Findings

Hyperthreads can connect more than two boundary regions.

The framework may help analyze holographic entropy cone inequalities.

Potential to address locking issues in holographic entanglement.

Abstract

Bit threads, a dual description of the Ryu-Takyanagi formula for holographic entanglement entropy (EE), can be interpreted as a distillation of the quantum information to a collection of Bell pairs between different boundary regions. In this article we discuss a generalization to hyperthreads which can connect more than two boundary regions leading to a rich and diverse class of convex programs. By modeling the contributions of different species of hyperthreads to the EEs of perfect tensors we argue that this framework may be useful for helping us to begin to probe the multipartite entanglement of holographic systems. Furthermore, we demonstrate how this technology can potentially be used to understand holographic entropy cone inequalities and may provide an avenue to address issues of locking.