# Clifford group and stabilizer states from Chern-Simons theory

## TL;DR

This paper constructs Clifford group generators and stabilizer states using Chern-Simons theory for specific Kac-Moody algebras, extending previous results in quantum algebra and topological quantum computation.

## Contribution

It introduces a novel method to derive Clifford group elements and stabilizer states from Chern-Simons theory for certain algebraic structures, expanding the theoretical framework.

## Key findings

- Constructed Clifford group generators from Chern-Simons theory for SU(2)1, U(N)N,N(K+N), and SU(N)1.
- Extended previous algebraic results to new classes of Kac-Moody algebras.
- Provided a topological quantum field theory perspective on stabilizer states.

## Abstract

The construction of generators of the Clifford group and of stabilizer states from Chern-Simons theory is presented for the Kac-Moody algebras SU(2)1, U(N)N,N(K+N) with N = 2 and K = 1, and SU(N)1 extending results of Salton, et. al.