In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

The great promise of quantum computers comes with the dual challenges of building them
and finding their useful applications. We argue that these two challenges should be …

The Lie-Trotter formula, together with its higher-order generalizations, provides a direct
approach to decomposing the exponential of a sum of operators. Despite significant effort …

Computational models are an essential tool for the design, characterization, and discovery
of novel materials. Computationally hard tasks in materials science stretch the limits of …

Continuously monitoring the environment of a quantum many-body system reduces the
entropy of (purifies) the reduced density matrix of the system, conditional on the outcomes of …

We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

Quantum systems have entered a competitive regime in which classical computers must
make approximations to represent highly entangled quantum states,. However, in this …

In ergodic many-body quantum systems, locally encoded quantum information becomes, in
the course of time evolution, inaccessible to local measurements. This concept of …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Recent work has deployed linear combinations of unitaries techniques to reduce the cost of
fault-tolerant quantum simulations of correlated electron models. Here, we show that one …