19 citations · 24 across the 5 of their papers we have counts for
6 papers
Fusion-assisted decoding of non-Abelian topological order
Rohith Sajith, Yabo Li, Zijian Song +2
Maximum likelihood (ML) decoders perform quantum error correction by measuring a set of syndromes, classically computing an optimal recovery based on these syndromes and the noise…
Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations
Carolyn Zhang, Po-Shen Hsin
Recent work has constructed higher-dimensional analogs of non-invertible symmetries similar to 1+1d Kramers-Wannier duality. Although their continuum descriptions often treat purel…
Doping lattice non-abelian quantum Hall states
Zhengyan Darius Shi, Carolyn Zhang, T. Senthil
We study quantum phases of a fluid of mobile charged non-abelian anyons, which arise upon doping the lattice Moore-Read quantum Hall state at lattice filling and its gener…
Anomalies of Coset Non-Invertible Symmetries
Po-Shen Hsin, Ryohei Kobayashi, Carolyn Zhang
Anomalies of global symmetries provide important information on the quantum dynamics. We show the dynamical constraints can be organized into three classes: genuine anomalies, frac…
Strong-to-weak spontaneous breaking of 1-form symmetry and intrinsically mixed topological order
Carolyn Zhang, Yichen Xu, Jian-Hao Zhang +3
Topological orders in 2+1d are spontaneous symmetry-breaking (SSB) phases of 1-form symmetries in pure states. The notion of symmetry is further enriched in the context of mixed st…
Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance
Po-Shen Hsin, Ryohei Kobayashi, Carolyn Zhang
We investigate fractionalization of non-invertible symmetry in (2+1)D topological orders. We focus on coset non-invertible symmetries obtained by gauging non-normal subgroups of in…