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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Many trial wave functions for fractional quantum Hall states in a single Landau level are
given by functions called conformal blocks, taken from some conformal field theory. Also …

We compute directly the entanglement entropy of spatial regions in Chern-Simons gauge
theories in 2+ 1 dimensions using surgery. We consider the possible dependence of the …

Topological quantum computers promise a fault tolerant means to perform quantum
computation. Topological quantum computers use particles with exotic exchange statistics …

A method for compiling quantum algorithms into specific braiding patterns for non-Abelian
quasiparticles described by the so-called Fibonacci anyon model is developed. The method …

We consider the lowest Landau level on a torus as a function of its circumference L 1. When
L 1→ 0, the ground state at general rational filling fraction is a crystal with a gap—a Tao …

We report magnetotransport studies of a two-dimensional electron system formed in an
inversion layer at the interface between a hydrogen-passivated Si (111) surface and …

Quasiholes in certain fractional quantum Hall states are promising candidates for the
experimental realization of non-Abelian anyons. They are assumed to be localized …