To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

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

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

Historically, noise in superconducting circuits has been considered an obstacle to be
removed. A large fraction of the research effort in designing superconducting circuits has …

Storing quantum information for long times without disruptions is a major requirement for
most quantum information technologies. A very appealing approach is to use self-correcting …

This book presents a self-consistent review of quantum computation with topological
quantum codes. The book covers everything required to understand topological fault …

Recently, it has become apparent that the thermal stability of topologically ordered systems
at finite temperature, as discussed in condensed matter physics, can be studied by …

Multifractal states offer a" third way" for quantum matter, neither fully localized nor ergodic,
exhibiting singular continuous spectra, self-similar wavefunctions, and transport and …

We analyze the performance of decoders for the 2D and 4D toric code which are local by
construction. The 2D decoder is a cellular automaton decoder formulated by Harrington …

Quantum transport can distinguish between dynamical phases of matter. For instance,
ballistic propagation characterizes the absence of disorder, whereas in many-body localized …