5 papers
Universal quantum computation with group surface codes
Naren Manjunath, Vieri Mattei, Apoorv Tiwari +1
We introduce group surface codes, which are a natural generalization of the surface code, and equivalent to quantum double models of finite groups with specific boun…
SymTFT Approach for Mixed States with Non-Invertible Symmetries
Sakura Schafer-Nameki, Apoorv Tiwari, Alison Warman +1
We develop a general framework for studying phases of mixed states with strong and weak symmetries, including non-invertible or categorical symmetries. The central idea is to consi…
(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…
Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II
Lakshya Bhardwaj, Sakura Schafer-Nameki, Apoorv Tiwari +1
We use the Symmetry Topological Field Theory (SymTFT) to systematically characterize gapped phases in 2+1 dimensions with categorical symmetries. The SymTFTs that we consider are (…
Categorical Symmetries in Spin Models with Atom Arrays
Alison Warman, Fan Yang, Apoorv Tiwari +2
Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predic…