Certification of quantum simulations

The goal of quantum simulations is to solve a problem that cannot practically be solved on classical computer. But how can one then be convinced that it functions as desired?

This challenging task is called certification.

Quantum states

Quantum dynamics

Quantum states can be certified, even if they cannot be classically simulated efficiently, see here. Does the same hold for quantum dynamics? to ongoing research

Quantum process tomography is expected to be crucial for this task.