Level-rank duality of SU(2)k Chern-Simons theory, and of hypergraph and magic states
Howard J. Schnitzer
TL;DR
This paper explores the level-rank duality in SU(2)k Chern-Simons theory and applies it to the study of graph, hypergraph, and magic states, revealing new insights into their interrelations.
Contribution
It introduces a novel application of level-rank duality to hypergraph and magic states, expanding the understanding of topological quantum field theories in quantum information.
Findings
Established duality relations between different states
Connected topological theories with quantum information structures
Provided a framework for analyzing complex quantum states
Abstract
The level-rank duality of SU(2)k Chern-Simons theory is discussed, and applied to graph, hypergraph, and magic states.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Algebraic structures and combinatorial models · Quantum Information and Cryptography