Quantifying Quantum Computational Advantage on a Processor of Ultracold Atoms
Using a quantum gas microscope to manipulate ultracold atoms in driven Bose-Hubbard chains and ladders, the authors demonstrate a practical quantum computational advantage by sampling thermalized many-body states with a Hilbert space dimension of at a rate three orders of magnitude faster than classical supercomputers, while validating the system's chaotic nature through volume-law entanglement and high-order correlation measurements.