The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

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

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

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 present a unified perspective on symmetry protected topological (SPT) phases in one
dimension and address the open question of what characterizes their phase transitions. In …

We review the non-equilibrium dynamics of many-body quantum systems after a quantum
quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We …

We formulate a theory of non-Abelian fractional quantum Hall states by considering an
anisotropic system consisting of coupled, interacting one-dimensional wires. We show that …

We use the formalism of strange correlators to construct a critical classical lattice model in
two dimensions with the Haagerup fusion category H 3 as input data. We present compelling …

Although artificial neural networks have recently been proven to provide a promising new
framework for constructing quantum many-body wave functions, the parametrization of a …