Entanglement generation and quantum random walks in strontium atom arrays*

Tweezer arrays of neutral divalent atoms can simultaneously realize the numerous requirements for explorations of quantum many body physics, quantum information processing, and quantum-enhanced optical clocks, namely low entropy state initialization, high fidelity quantum control and entanglement generation, and long coherence times on optical transitions. In order to scale these capabilities to hundreds of atoms, we utilize hybrid trapping potentials defined by both optical tweezers and a 3d optical lattice. We report on the implementation of atom rearrangement in 2d within the lattice and its impact on investigations of Rydberg-mediated clock-qubit spin squeezing, which produces metrologically relevant entangled states and enables systematic explorations of the transverse-field Ising model. Atom rearrangement will also enable explorations of multi-atom Hubbard physics and sampling problems with programmable initial configurations. This work further defines a route toward native multi-qubit gates and the production of tunable graph states relevant for quantum error correction codes.