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 …

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 …

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 …

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 …

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

The speed limit of information propagation is one of the most fundamental features in non-
equilibrium physics. The region of information propagation by finite-time dynamics is …

Topological insulators feature a number of topologically protected boundary modes linked to
the value of their bulk invariant. While in one-dimensional systems the boundary modes are …

In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law
decaying interactions such as R-α, where R is the distance. In such systems, the fast …

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

Entanglement, a hallmark of quantum mechanics, is a vital resource for quantum
technologies. Generating highly entangled multipartite states is a key goal in current …