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 …

These are notes on some entanglement properties of quantum field theory, aiming to make
accessible a variety of ideas that are known in the literature. The main goal is to explain how …

A spin-1/2 system on a honeycomb lattice is studied. The interactions between nearest
neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of …

The synthesis of a quantum computer remains an ongoing challenge in modern physics.
Whereas decoherence stymies most approaches, topological quantum computation …

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 …

Non-Abelian braiding has attracted substantial attention because of its pivotal role in
describing the exchange behaviour of anyons—candidates for realizing quantum logics. The …

We define a class of lattice models for two-dimensional topological phases with boundary
such that both the bulk and the boundary excitations are gapped. The bulk part is …

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 …

We formulate rational conformal field theory in terms of a symmetric special Frobenius
algebra A and its representations. A is an algebra in the modular tensor category of Moore …

In the last 20 years, the study of operator algebras has developed from a branch of
functional analysis to a central field of mathematics with applications and connections with …