Approximate classical simulation of noisy quantum circuits

In this presentation, we will demonstrate our approaches to approximately simulate noisy quantum systems on classical hardware. The commonly used density matrix approach scales as 4^N which provides a challenge. We propose various approaches to reduce the simulation complexity at a cost of introducing numerical error in the final simulation result. We demonstrate large scale HPC simulations and compare the performance for various types of quantum circuits. Our approach allows to simulate hundreds of qubits with very small error in the final result. Finally, we will discuss limitations and possible improvements of these methods.