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20242026
most citedLattice Models for Phases and Transitions with Non-Invertible Symmetries

23 citations · 30 across the 5 of their papers we have counts for

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10 papers

cond-mat.str-el2026

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…

quant-ph2026

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…

cond-mat.str-el20253 cited

(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…

cond-mat.str-el20254 cited

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…

cond-mat.str-el202523 cited

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1

Non-invertible categorical symmetries have emerged as a powerful tool to uncover new beyond-Landau phases of matter, both gapped and gapless, along with second order phase transiti…

quant-ph2025

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…