
The process by which information propagates through a quantum system, often quantified by entanglement growth.Information spread in quantum systems refers to how quantum information — such as the state of a particle or the correlations between many particles — propagates through space and time. In many-body quantum physics, this is often quantified by the growth of entanglement entropy, which measures how much quantum information is shared between a subsystem and its environment. The study of information spread is central to understanding quantum thermalization, quantum chaos, and the limits of quantum computation.
The concept gained prominence in the early 2000s with work on entanglement growth in quantum quenches, building on earlier ideas from quantum information theory and statistical mechanics.
In a closed quantum system, information does not simply diffuse like heat; it spreads through quantum correlations. For a local Hamiltonian, the Lieb-Robinson bound sets a finite speed limit for information propagation, analogous to a light cone. Entanglement entropy typically grows linearly in time for chaotic systems, reflecting that information spreads across the system at a constant rate. This growth can be probed by measuring the entanglement of a small region with the rest of the system.
It is used to design and benchmark quantum simulators and quantum computers, where controlling information spread is crucial for error correction and for simulating quantum dynamics.
In a chaotic quantum system, the entanglement entropy grows linearly with time, but in an integrable system it grows only logarithmically — a sharp distinction that can be measured in experiments.


















