We survey recent developments in a novel kind of generalized global symmetry, the non-
invertible symmetry, in diverse spacetime dimensions. We start with several different but …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

Adaptive quantum circuits, which combine local unitary gates, midcircuit measurements, and
feedforward operations, have recently emerged as a promising avenue for efficient state …

Generalized symmetries often appear in the form of emergent symmetries in low energy
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …

Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …

We give an explicit operator representation (via a sequential circuit and projection to
symmetry subspaces) of Kramers-Wannier duality transformation in higher-dimensional …

We explore exact generalized symmetries in the standard 2+ 1d lattice $\mathbb {Z} _2 $
gauge theory coupled to the Ising model, and compare them with their continuum field …

Modulated symmetries are internal symmetries that act in a non-uniform, spatially modulated
way and are generalizations of, for example, dipole symmetries. In this paper, we …

Elementary point charge excitations in three-plus-one-dimensional (3+ 1 D) topological
phases can condense along a line and form a descendant excitation called the Cheshire …

In this paper, we study the twisted gauging on the (1+ 1) d lattice and construct various non-
local mappings on the lattice operators. To be specific, we define the twisted Gauss law …