A crucial milestone in the field of quantum simulation and computation is to demonstrate that a quantum device can compute certain tasks that are impossible to reproduce by a classical computer with any reasonable resources. Such a demonstration is referred to as quantum supremacy.
One of the most important questions is to identify setups that exhibit quantum supremacy and can be implemented with current quantum technology.
The two standard candidates are boson sampling and random quantum circuits.
Researchers have shown that quantum supremacy can be obtained in generic periodically-driven quantum many-body systems. Their analysis is based on the eigenstate thermalization hypothesis and strongly-held conjectures in complexity theory.
Their proposal opens the way for a large class of quantum platforms to demonstrate and benchmark quantum supremacy.