79 citations · 241 across the 16 of their papers we have counts for
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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…