Topological quantum computation has emerged as one of the most exciting approaches to
constructing a fault-tolerant quantum computer. The proposal relies on the existence of …

Motivated by the recent discovery of fractional quantum anomalous Hall states in moiré
systems, we consider the possibility of realizing non-Abelian phases in topological …

Can quantum particles be regarded as individuals, just like books, tables and people?
According to the'received'view-articulated by several physicists in the immediate aftermath of …

Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that
could ultimately provide the foundation for a decoherence-free quantum computer. A key …

While the classification of noninteracting crystalline topological insulator phases by
equivariant K-theory has become widely accepted, its generalization to anyonic interacting …

We study the non-Abelian statistics of quasiparticles in the Ising-type quantum Hall states
which are likely candidates to explain the observed Hall conductivity plateaus in the second …

We consider the tunneling current through a double point-contact Fabry-Pérot interferometer
such as used in recent experimental studies of the fractional quantum Hall plateau at filling …

This book makes broadly accessible an understandable proof of the infamous spin-statistics
theorem. This widely known but little-understood theorem is intended to explain the fact that …

It is shown that fractional statistics on a torus are consistent only with multicomponent wave
functions. This is expected to be generally true for all 2D, closed, multiply connected …

We respond to a recent request from Neuenschwander for an elementary proof of the Spin-
Statistics Theorem. First, we present a pedagogical discussion of the results for the spin-0 …