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quant-ph2026
Defining 2-group symmetries on lattices and extracting their anomalies
Yitao Feng, Yu-An Chen
Ordinary -form symmetries can mix with -form symmetries to form a -group . We give a concrete lattice definition for a class of finite -group sym…
quant-ph2026
Pauli stabilizer formalism for topological quantum field theories and generalized statistics
Yitao Feng, Hanyu Xue, Ryohei Kobayashi +2
Topological quantum field theory (TQFT) provides a unifying framework for describing topological phases of matter and for constructing quantum error-correcting codes, playing a cen…
quant-ph2025
Anyonic membranes and Pontryagin statistics
Yitao Feng, Hanyu Xue, Yuyang Li +4
Anyons, unique to two spatial dimensions, underlie extraordinary phenomena such as the fractional quantum Hall effect, but their generalization to higher dimensions has remained el…