Playing nonlocal games across a topological phase transition on a quantum computer

Abstract: Many-body quantum games provide a natural perspective on phases of matter in quantum hardware, crisply relating their properties to the securing of quantum advantage at a device-oriented task. These games can be viewed as generalizations of Bell tests, and they provide powerful and direct probes of quantum correlations that leverage the access to the entire wavefunction provided by quantum hardware. Previous studies have utilized many-body resource states in a fine-tuned manner, such that arbitrarily weak gate imperfections or noise will destroy any quantum advantage in the thermodynamic limit. In this talk, I will show how notions of topological order can be used to design multiplayer nonlocal games affording robust and scalable quantum advantage, which we explicitly verify in experiments carried out on Quantinuum's trapped-ion quantum processor H1-1.