From analog quantum simulation to digital quantum computing with Rydberg atom arrays

Rydberg atom arrays are a scalable platform for programmable many-body physics and quantum information processing. In the first part, I will show how strong, controllable Rydberg interactions enable high-fidelity analog simulation of spin models, revealing phenomena from symmetry breaking to topological order. I will present protocols that generate highly entangled states in noisy analog settings and efficient methods to diagnose this entanglement. In the second part, I will discuss how the same ingredients yield native multi-qubit entangling gates for digital computation. In particular, I will present a route toward implementing QRAM with neutral atoms that exploits mid-circuit, dynamic atom rearrangement.