Scaling from utility to advantage for the transverse-field Ising model with software*

Recent evidence for utility on noisy quantum computers has ushered a new era of quantum computing. Given the astonishing progress of quantum hardware, existing quantum software need to accommodate for these advancements by showing that they can scale from the era of utility to the era of error correction. The application that provides evidence for utility, the 2D Transverse-Field ising model (TFIM) happens to also be one of the earliest applications that will achieve practical quantum advantage in the era of error corrected quantum computers. Using techniques like Dynamical decoupling, Zero-Noise extrapolation, optimized decomposition, Echoed Cross-Resonance, Hidden Inverses, Equivalent Circuit Averaging and Stabilizer slicing we show how quantum software can scale by running physical TFIM on noisy quantum computers, turning the noisy quantum computers into error corrected quantum computers and running logical versions of TFIM on the same devices.