Level-rank duality of SU(2)k Chern-Simons theory, and of hypergraph and magic states

2021/05/24 by Howard J. Schnitzer, Schnitzer, Howard J.
Computer Science · Mathematics · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2105.11498

openalex publication_date 2021/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The level-rank duality of SU(2)k Chern-Simons theory is discussed, and applied to graph, hypergraph, and magic states.

Citations

• Many-Body Quantum Magic

Related

• Hypergraph States in SU(N)1, N odd prime, Chern-Simons Theory
• Level-rank duality for a Universal Topological Quantum Computer
• Level-rank duality of knot and link invariants
• Analyzing reduced density matrices in SU(2) Chern-Simons theory
• Knot state asymptotics I, AJ Conjecture and abelian representations