Related papers: A complete classification of 2d symmetry protected states with symmetric entanglers

A complete classification of 2d symmetry protected states with symmetric entanglers

URL: http://arxiv.org/abs/2603.09959v1
Date: Tue, 10 Mar 2026 17:55:48 GMT
Title: A complete classification of 2d symmetry protected states with symmetric entanglers
Abstract summary: We consider symmetry protected topological states of 2d quantum spin systems with a finite symmetry group $G$.<n>For this class of states, we prove that the classification by $H3(G,U(1))$ is complete.
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License: http://creativecommons.org/licenses/by/4.0/
Abstract: We consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group $G$. It has been conjectured that such states are classified by the cohomology group $H^3(G,U(1))$, but the completeness of this classfication is an open problem. We restrict ourselves to symmetry protected topological states that can be prepared from a product state by a symmetric entangler. For this class of states, we prove that the classification by $H^3(G,U(1))$ is complete.

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