The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

In transition-metal compounds with partially filled 4 d and 5 d shells spin–orbit
entanglement, electronic correlations, and crystal-field effects conspire to give rise to a …

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

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 systematic recipe for generating and classifying duality transformations in one-
dimensional quantum lattice systems. Our construction emphasizes the role of global …

Topological quantum computation is a computational paradigm based on topological
phases of matter, which are governed by topological quantum field theories. In this …

A bstract We construct topological quantum field theories (TQFTs) and commuting projector
Hamiltonians for any 1+ 1d gapped phases with non-anomalous fusion category …

It has been a long-standing open problem to construct a general framework for relating the
spectra of dual theories to each other. Here, we solve this problem for the case of one …

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 …

In transition-metal compounds with partially filled $4 d $ and $5 d $ shells spin-orbit
entanglement, electronic correlations, and crystal-field effects conspire to give rise to a …