Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …

A fundamental distinction between many-body quantum states are those with short-and long-
range entanglement (SRE and LRE). The latter cannot be created by finite-depth circuits …

We analyze the effect of quenched disorder on spin-1/2 quantum magnets in which
magnetic frustration promotes the formation of local singlets. Our results include a theory for …

Quantum tensor network states and more particularly projected entangled-pair states
provide a natural framework for representing ground states of gapped, topologically ordered …

We present a summary of recent progress and remaining challenges in applying the
methods and ideas of quantum information theory to the study of quantum field theory and …

Preparing quantum states across many qubits is necessary to unlock the full potential of
quantum computers. However, a key challenge is to realize efficient preparation protocols …

Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an
area law, with a constant correction term known as the topological entanglement entropy …

One of the most striking features of gapped quantum phases that exhibit topological order is
the presence of long-range entanglement that cannot be detected by any local order …

Fracton topological phases have a large number of materialized symmetries that enforce a
rigid structure on their excitations. Remarkably, we find that the symmetries of a quantum …

Topological entanglement entropy has been regarded as a smoking-gun signature of
topological order in two dimensions, capturing the total quantum dimension of the …