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Topological Quantum Computing Quantum Simulation

Non-invertible symmetry enriched string net topological orders

arXiv
Authors: Luisa Eck, Peter Huston, Kyle Kawagoe, David Penneys

Year

2026

Paper ID

68155

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

0

Abstract

We propose a definition of a non-invertible symmetry enriched topological order (NI-SETO), and we implement our definition for string net models. We do so in two ways, using full inclusions of unitary fusion categories (UFCs), as well as anyon condensation. In both cases, the NI-SETO is a relative center of UFCs. All NI-SETOs can be realized in either model, where we can use enriched UFCs to get chiral examples on the boundary of a 3D Walker-Wang model representing the anomaly. We describe several examples of NI-SETOs and compute the qualitative symmetry action on anyons and symmetry defects using tube algebra techniques.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We propose a definition of a non-invertible symmetry enriched topological order (NI-SETO), and we implement our definition for string net models.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.28794 [2] arXiv https://arxiv.org/abs/2605.28794 [3] Publisher https://arxiv.org/abs/2605.28794

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External citation index: OpenAlex citation signal • updated 2026-06-11 09:18:25

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