English

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

High Energy Physics - Theory 2020-09-01 v2 Quantum Physics

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.

Keywords

Cite

@article{arxiv.2008.02406,
  title  = {SU(N)1 Chern-Simons theory, the Clifford group, and Entropy Cone},
  author = {Howard J. Schnitzer},
  journal= {arXiv preprint arXiv:2008.02406},
  year   = {2020}
}

Comments

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