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We demonstrate how motional degrees of freedom in optical tweezers can beused as quantum information carriers. To this end, we first implement aspecies-agnostic cooling mechanism via conversion of motional excitations intoerasures - errors with a known location - reminiscent of Maxwell's demonthought experiment. We find that this cooling mechanism fundamentallyoutperforms idealized traditional sideband cooling, which we experimentallydemonstrate in specific scenarios. By coherently manipulating the motionalstate, we perform mid-circuit readout and mid-circuit erasure detection of anoptical qubit via local shelving into motional superposition states. We finallyentangle the motion of two atoms in separate tweezers, and utilize this togenerate hyper-entanglement by preparing a simultaneous Bell state of motionaland optical qubits. This work shows how controlling motion enriches the toolboxof quantum information processing with neutral atoms, and opens uniqueprospects for metrology enhanced by mid-circuit readout and a large class ofquantum operations enabled via hyper-entanglement.

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