Topological quantum memory can protect information against local errors up to finite error
thresholds. Such thresholds are usually determined based on the success of decoding …

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

We introduce the Uhlmann geometric phase as a tool to characterize symmetry-protected
topological phases in one-dimensional fermion systems, such as topological insulators and …

We establish the existence of a topological classification of many-particle quantum systems
undergoing unitary time evolution. The classification naturally inherits phenomenology …

We study the phase diagram and edge states of a two-dimensional p-wave superconductor
with long-range hop** and pairing amplitudes. New topological phases and …

We consider the optimal driving of the ground state of a many-body quantum system across
a quantum phase transition in finite time. In this context, excitations caused by the …

A primary motivation for studying topological matter regards the protection of topological
order from its environment. In this work, we study a topological emitter array coupled to an …

Topological insulators and superconductors at finite temperature can be characterized by
the topological Uhlmann phase. However, a direct experimental measurement of this …

The one-dimensional (1D) Kitaev model in the topological phase, with open boundary
conditions, hosts Majorana zero modes. These are fermion parity-odd operators that almost …

Braiding of Majorana zero modes provides a promising platform for quantum information
processing, which is topologically protected against errors. Strictly speaking, however, the …