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 …

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 …

We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation 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 …

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

The Lieb-Robinson theorem states that information propagates with a finite velocity in
quantum systems on a lattice with nearest-neighbor interactions. What are the speed limits …

We explore the dynamical phases of unitary Clifford circuits with variable-range interactions,
coupled to a monitoring environment. We investigate two classes of models, distinguished …

In locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

Polynomially filtered exact diagonalization method (POLFED) for large sparse matrices is
introduced. The algorithm finds an optimal basis of a subspace spanned by eigenvectors …

Surpassing the standard quantum limit and even reaching the Heisenberg limit using
quantum entanglement, represents the Holy Grail of quantum metrology. However, quantum …