17 citations · 30 across the 7 of their papers we have counts for
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math.QA2024★ 6 cited
Quantum Cluster State Model with Haagerup Fusion Category Symmetry
Zhian Jia
We propose a (1+1)D lattice model, inspired by a weak Hopf algebra generalization of the cluster state model, which realizes Haagerup fusion category symmetry and features a tensor…
hep-th2024★ 5 cited
Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory
Zhian Jia
We introduce weak Hopf symmetry as a tool to explore (1+1)-dimensional topological phases with non-invertible symmetries. Drawing inspiration from Symmetry Topological Field Theory…
quant-ph2024★ 17 cited
Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation
Zhian Jia
Cluster states are crucial resources for measurement-based quantum computation (MBQC). It exhibits symmetry-protected topological (SPT) order, thus also playing a crucial role in s…