SU(N)1 Chern-Simons theory, the Clifford group, and Entropy Cone
Howard J. Schnitzer
TL;DR
This paper explores the structure of entropy cones in SU(N)1 Chern-Simons theory, revealing that stabilizer states can be constructed in certain cases, which impacts the understanding of topological entropy cones.
Contribution
It demonstrates the construction of stabilizer states from topological operators in SU(N)1 for odd prime N, and compares entropy cones across different levels K.
Findings
Stabilizer states are constructible from topological operators in SU(N)1 for odd prime N.
The topological entropy cone is a subset of the stabilizer entropy cone for SU(N)K when K >= 2.
The structure of entropy cones varies depending on the level K in SU(N)K theories.
Abstract
Entropy cones for SU(N)1 Chern-Simons theory are discussed. It is shown that stabilizer states can be constructed from topological operators in SU(N)1 for N odd prime, but not for SU(N)K; K >= 2. This implies that the topological entropy cone is properly contained in the stabilizer entropy cone for SU(N)K; K >= 2.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum many-body systems · Quantum chaos and dynamical systems · Topological Materials and Phenomena