Kansei Inamura

Remarks on non-invertible symmetries on a tensor product Hilbert space in 1+1 dimensions

We propose an index of non-invertible symmetry operators in 1+1 dimensions and discuss its relation to the realizability of non-invertible symmetries on the tensor product of finite dimensional on-site Hilbert spaces on the lattice. Our index generalizes the Gross-Nesme-Vogts-Wer...

Generalized cluster states in 2+1d: Non-invertible symmetries, interfaces, and parameterized families

We construct 2+1-dimensional lattice models of symmetry-protected topological (SPT) phases with non-invertible symmetries and investigate their properties using tensor networks. These models, which we refer to as generalized cluster models, are constructed by gauging a subgroup s...