Data for: Simulating Floquet non-abelian topological insulator with photonic quantum walks

Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent from their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are characterized by non-Abelian topological charges and feature multifold bulk-boundary correspondence, making their experimental observation challenging. Here we simulate the FNATI using a higher-dimensional photonic quantum walk and develop dynamic measurement schemes to demonstrate key signatures of the FNATI. Importantly, combining a direct bulk-dynamic detection for the underlying quaternion topological charge, and a spatially-resolved injection spectroscopy for the edge states, we experimentally establish the multifold bulk-boundary correspondence, and, in particular, identify the anomalous non-Abelian phase in which edge states appear in all band gaps despite a trivial topological charge. Our experiment marks the first experimental characterization of the..., , , # Data for: Simulating Floquet non-abelian topological insulator with photonic quantum walks

Dataset DOI: [10.5061/dryad.3ffbg79vk](10.5061/dryad.3ffbg79vk)

## Description of the data and file structure

The file data.xlsx contains all raw data for \"Simulating Floquet non-Abelian topological insulator with photonic quantum walks.\" The data correspond to the experimental measurements and theoretical predictions used in Figs. 2–4 of the main text. Each Excel file contains the source data used to generate the corresponding figure panels. The experimental system is a three-band photonic quantum walk used to simulate Floquet non-Abelian topological insulators. The measurements include eigenstate trajectories on the unit sphere and quasienergy spectra obtained from spatially resolved injection spectroscopy.

File: SourceData_Fig2.xlsx

This file contains experimental and numerical data characterizing the bulk and domain-wall properties of the photonic quantum walk system. The dataset includ..., ,