5 papers
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…
Categorical Time-Reversal Symmetries
Rui Wen, Sakura Schafer-Nameki
The classification of phases using categorical symmetries has greatly expanded the landscape of gapped and gapless phases. So far, however, these developments have largely been res…
Topological Holography for 2+1-D Gapped and Gapless Phases with Generalized Symmetries
Rui Wen
We study topological holography for 2+1-D gapped and gapless phases with generalized symmetries using tools from higher linear algebra and higher condensation theory. We focus on b…
String condensation and topological holography for 2+1D gapless SPT
Rui Wen
The theory of anyon condensation is the foundation of the bulk-boundary relation and topological holography in 2+1D/1+1D. It is believed string condensation should replace anyon co…
Cheshire qudits from fractional quantum spin Hall states in twisted MoTe
Rui Wen, Andrew C. Potter
Twisted MoTe homobilayers exhibit transport signatures consistent with a fractional quantum spin Hall (FQSH) state. We describe a route to construct topological quantum memory…