Erasure-cooling, control, and hyper-entanglement of motion in optical tweezers

Coherently controlling the motion of single atoms in optical tweezers would enable new applications in quantum information science. To demonstrate this, we first prepare atoms in their motional ground state using a species-agnostic cooling mechanism that converts motional excitations into erasures -- errors with a known location. This cooling mechanism fundamentally outperforms idealized traditional sideband cooling, which we experimentally demonstrate. By coherently manipulating the resultant pure motional state, we perform mid-circuit readout and mid-circuit erasure detection via local shelving into motional superposition states. We finally entangle the motion of two atoms in separate tweezers and generate hyper-entanglement by preparing a simultaneous Bell state of motional and optical qubits, unlocking a large new class of quantum operations with neutral atoms.