The physics of dirty bosons highlights the intriguing interplay of disorder and interaction in quantum systems, and is central in describing, for example, cryogenic gases with random potentials, doped quantum magnets, and amorphous superconductors. play a role. Here we show how quantum computers can be used to unravel the physics of the dirty boson in his one and two dimensions. Specifically, we use the adiabatic preparation to investigate the fault-induced transition from delocalization to localization. In one dimension, quantum circuits can be compressed to a depth sufficient to run on currently available quantum computers. In two dimensions, compression schemes are no longer applicable, so large-scale classical state-vector simulations must be used to emulate the performance of quantum computers. Furthermore, by simulating interacting bosons via emulation of a noisy quantum computer, we were able to investigate the effect of quantum hardware his noise on the physical properties of the simulated system. Our results suggest that scaling laws control how noise modifies an observable relative to its strength, circuit depth, and number of qubits. Moreover, we find that the noise affects the delocalization and localization phases differently. A better understanding of how noise modifies the true properties of simulated systems is essential for exploiting noisy intermediate-scale quantum devices for dirty boson simulations, and in practice is integral to all condensed matter systems.
