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 …

The principle that perturbation in quantum statistics should be accompanied by application
of an appropriate magnetic field has been successful in giving a simple understanding of …

This book explains the subtleties of quantum statistical mechanics in lower dimensions and
their possible ramifications in quantum theory. The discussion is at a pedagogical level and …

Particles with fractional statistics interpolating between bosons and fermions have attracted
considerable interest from mathematical physicists. In recent years it has emerged that these …

This thesis is primarily a study of the measurement theory of non-Abelian anyons through
interference experiments. We give an introduction to the theory of anyon models, providing …

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 thesis deals with planar gauge theories in which some gauge group G is spontaneously
broken to a finite subgroup H. The spectrum consists of magnetic vortices, global H charges …

Disassembling anyons Page 1 VOLUME 69, NUMBER PH YS1CAL REVIEW LETTERS
Disassembling Anyons 6 3ULV f 992 Frank %ilczek School ofNatural Sciences, Institute for …

We present a self-contained treatment of planar gauge theories broken down to some finite
residual gauge group H via the Higgs mechanism. The main focus is on the discrete H …