2 citations · 3 across the 6 of their papers we have counts for
8 papers
A comparison between statistics and 't Hooft anomaly
Hanyu Xue
Anomalies of generalized symmetries are closely related to the statistics of topological excitations. Truncating a symmetry transformation to a finite region produces an operator t…
Holographic Theory of Mixed-Dimensional Statistics and Conservation-Encoding Hopping-Operator Algebras
Hanyu Xue, Xiao-Gang Wen
We develop a general framework for the statistics of mixed-dimensional excitations subject to intertwined conservation laws, extending the familiar Fermi statistics with conserved…
Bockstein Braiding Statistics Versus Three-Loop Braiding
Hanyu Xue
Braiding statistics of - and -dimensional topological excitations is conventionally defined in spatial dimensions. We find a novel statistical process $W_N(X,Y)=(Y^{-…
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…
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…
Statistics of Abelian topological excitations
Hanyu Xue
In this paper, we develop a novel theory that generalizes the concept of anyon statistics to Abelian topological excitations of any dimension. We axiomatize excitations as a select…
Generalized Statistics on Lattices
Ryohei Kobayashi, Yuyang Li, Hanyu Xue +2
The statistics of particles and extended excitations, such as loops and membranes, are fundamental to modern condensed matter physics, high-energy physics, and quantum information…
Tensor network formulation of symmetry protected topological phases in mixed states
Hanyu Xue, Jong Yeon Lee, Yimu Bao
We define and classify symmetry-protected topological (SPT) phases in mixed states based on the tensor network formulation of the density matrix. In one dimension, we introduce str…