SU(N)1 Chern-Simons theory, the Clifford group, and Entropy Cone

2020/08/06 by Howard J. Schnitzer, Schnitzer, Howard J.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.2008.02406

12 pages, v-2: a typo in eqn(3.4) was corrected

arxiv created 2020/08/31 · arxiv updated 2020/09/01

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.

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