# Entanglement distillation of boundary states of large N SU(N)1, Chern-Simons theory and Riemann surfaces

## TL;DR

This paper introduces a tree tensor network method for entanglement distillation in large N SU(N)1 Chern-Simons theory and Riemann surfaces, providing insights into entanglement entropy in complex quantum systems.

## Contribution

It proposes a novel tensor network approach for entanglement distillation in specific topological quantum field theories, extending previous proposals.

## Key findings

- Successfully applied to bipartite systems with entanglement entropy log N
- Demonstrates the effectiveness of the tensor network in complex topological settings
- Provides a new computational tool for studying entanglement in large N theories

## Abstract

A tree tensor network is proposed for the entanglement distillation of large N SU(N)1 Chern-Simons theory and Riemann surfaces, adopting a proposal of Bao, et al. This is illustrated for the entanglement entropy S(A) of a bipartite many-body system A, where here S(A) = log N.