Quantum simulation on today’s quantum computers: Overcoming noise

Quantum simulation on present-day quantum processors rests on our ability to tackle the noise of the devices, thereby enabling access to new and useful regimes of quantum simulation. Here, we delve into the primary challenges associated with generic and many-body simulations on digital quantum computers, and present state-of-the-art approaches to overcome them. Specifically, we examine the application of Probabilistic Error Cancellation (PEC) with Sparse Pauli-Lindblad Models on Noisy Quantum Processors as a means to learn and mitigate noise. Moreover, we discuss recent findings and offer insights into the future prospects of quantum simulations involving 100 qubits or more and circuit depths exceeding 100.