Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

What are topological phases of matter? First, they are phases of matter at zero temperature.
Second, they have a nonzero energy gap for the excitations above the ground state. Third …

Quantum many-body systems with a non-Abelian topological order can host anyonic
quasiparticles. It has been proposed that anyons could be used to encode and manipulate …

What does it mean for a boundary condition to be symmetric with respect to a noninvertible
global symmetry? We discuss two possible definitions in 1+ 1 D QFTs and lattice models. On …

Using the numerical modular bootstrap, we constrain the space of 1+ 1 d conformal field
theories (CFTs) with a finite noninvertible global symmetry described by a fusion category C …

This review presents an entry-level introduction to topological quantum computation--
quantum computing with anyons. We introduce anyons at the system-independent level of …

Topological phases are unique states of matter that incorporate long-range quantum
entanglement and host exotic excitations with fractional quantum statistics. Here we report a …

A bstract Gauging is a powerful operation on symmetries in quantum field theory (QFT), as it
connects distinct theories and also reveals hidden structures in a given theory. We initiate a …

Combining physics, mathematics and computer science, topological quantum computation
is a rapidly expanding research area focused on the exploration of quantum evolutions that …

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 …