79 citations · 241 across the 16 of their papers we have counts for
17 papers
Remarks on invertible phases with non-onsite symmetry
Ryohei Kobayashi, Kansei Inamura, Ken Shiozaki
We study invertible phases protected by non-onsite symmetries carrying nontrivial lattice anomaly indices. While lattice anomalies are usually viewed as obstructions to symmetric s…
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…
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…
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…
Parameterized families of 2+1d -cluster states
Shuhei Ohyama, Kansei Inamura
We construct a -cluster Hamiltonian in 2+1 dimensions and analyze its properties. This model exhibits a symmetry, where the sector r…
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…
(2+1)d Lattice Models and Tensor Networks for Gapped Phases with Categorical Symmetry
Kansei Inamura, Sheng-Jie Huang, Apoorv Tiwari +1
Gapped phases in 2+1 dimensional quantum field theories with fusion 2-categorical symmetries were recently classified and characterized using the Symmetry Topological Field Theory…
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…
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…
Chiral Edge States Emerging on Anyon-Net
Atsushi Ueda, Kansei Inamura, Kantaro Ohmori
We propose a symmetry-based approach to constructing lattice models for chiral topological phases, focusing on non-Abelian anyons. Using a 2+1D version of anyon chains and modular…
Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs
Lakshya Bhardwaj, Kansei Inamura, Apoorv Tiwari
We study fermionic non-invertible symmetries in (1+1)d, which are generalized global symmetries that mix fermion parity symmetry with other invertible and non-invertible internal s…
2+1D symmetry-topological-order from local symmetric operators in 1+1D
Kansei Inamura, Xiao-Gang Wen
A generalized symmetry (defined by the algebra of local symmetric operators) can go beyond group or higher group description. A theory of generalized symmetry (up to holo-equivalen…
Fusion Surface Models: 2+1d Lattice Models from Fusion 2-Categories
Kansei Inamura, Kantaro Ohmori
We construct (2+1)-dimensional lattice systems, which we call fusion surface models. These models have finite non-invertible symmetries described by general fusion 2-categories. Ou…
Fermionization of fusion category symmetries in 1+1 dimensions
Kansei Inamura
We discuss the fermionization of fusion category symmetries in two-dimensional topological quantum field theories (TQFTs). When the symmetry of a bosonic TQFT is described by the r…
On lattice models of gapped phases with fusion category symmetries
Kansei Inamura
We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite s…
Topological field theories and symmetry protected topological phases with fusion category symmetries
Kansei Inamura
Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topol…
Non-local Order Parameters and Quantum Entanglement for Fermionic Topological Field Theories
Kansei Inamura, Ryohei Kobayashi, Shinsei Ryu
We study quantized non-local order parameters, constructed by using partial time-reversal and partial reflection, for fermionic topological phases of matter in one spatial dimensio…