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 …

Krylov complexity is a measure of operator complexity that exhibits universal behavior and
bounds a large class of other measures. In this paper, we generalize Krylov complexity from …

A bstract We investigate and characterize the dynamics of operator growth in irrational two-
dimensional conformal field theories. By employing the oscillator realization of the Virasoro …

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 …

In a locally interacting many-body system, two isolated qubits, separated by a large distance
r, become correlated and entangled with each other at a time t≥ r/v. This finite speed v of …

We consider growth of local operators under Euclidean time evolution in lattice systems with
local interactions. We derive rigorous bounds on the operator norm growth and then …

In closed generic many-body systems, unitary evolution disperses local quantum information
into highly nonlocal objects, resulting in thermalization. Such a process is called information …

In quantum many-body systems with local interactions, quantum information and
entanglement cannot spread outside of a linear light cone, which expands at an emergent …

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 study a sparse version of the Sachdev-Ye-Kitaev (SYK) model defined on random
hypergraphs constructed either by a random pruning procedure or by randomly sampling …