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 present a framework to systematically investigate higher categorical symmetries in two-
dimensional spin systems. Though exotic, such generalised symmetries have been shown …

Long-range entangled quantum states--like cat states and topological order--are key for
quantum metrology and information purposes, but they cannot be prepared by any scalable …

D topological phases of matter can host a broad class of non-trivial topological defects of
codimension-1, 2, and 3, of which the well-known point charges and flux loops are special …

We construct a novel three-dimensional quantum cellular automaton (QCA) based on a
system with short-range entangled bulk and chiral semion boundary topological order. We …

Quantum computers require memories that are capable of storing quantum information
reliably for long periods of time. The surface code is a two-dimensional quantum memory …

Despite growing interest in beyond-group symmetries in quantum condensed matter
systems, there are relatively few microscopic lattice models explicitly realizing these …

Non-invertible categorical symmetries have emerged as a powerful tool to uncover new
beyond-Landau phases of matter, both gapped and gapless, along with second order phase …

Abstract Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …