9 papers
Non-Invertible Symmetries Mixing with Witt Non-Trivial Quantum Cellular Automata
Kansei Inamura, Oskar Wojdel, Lukasz Fidkowski +1
Self-dualities and the stacking of symmetry-protected topological (SPT) phases are basic operations on quantum many-body systems. For a one-form symmetry in 3+1d the…
Gapless Phases in (2+1)d with Non-Invertible Symmetries
Lakshya Bhardwaj, Yuhan Gai, Sheng-Jie Huang +4
The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we…
Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata
Rui Wen, Kansei Inamura, Sakura Schafer-Nameki
We investigate realizations of (1+1)-dimensional fusion category symmetries on tensor-product Hilbert spaces, allowing for mixing with quantum cellular automata (QCAs). It was argu…
1+1d SPT phases with fusion category symmetry: interface modes and non-abelian Thouless pump
Kansei Inamura, Shuhei Ohyama
We consider symmetry protected topological (SPT) phases with finite non-invertible symmetry in 1+1d. In particular, we investigate interfaces and parameterized famili…
Remarks on non-invertible symmetries on a tensor product Hilbert space in 1+1 dimensions
Kansei Inamura
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 finit…
Generalized cluster states in 2+1d: non-invertible symmetries, interfaces, and parameterized families
Kansei Inamura, Shuhei Ohyama
We construct 2+1-dimensional lattice models of symmetry-protected topological (SPT) phases with non-invertible symmetries and investigate their properties using tensor networks. Th…