Error mitigated quantum dynamics with perturbed Mirror circuits -- part I

Quantum processors with error mitigation are becoming powerful tools for exploring the non-equilibrium dynamics of many-body systems. Generic quantum dynamics often result in quickly vanishing correlation, making it difficult to resolve in present experiments. Here, we present a novel model employing perturbed mirror circuits to study complex dynamics in a quantum many-body system. These circuits retain large correlation while still challenging several classical simulation algorithms, including tensor-network and Pauli propagation methods. This positions the model as a realistic and physically motivated benchmark for the performance of quantum and classical simulation methods. In these talks, we shall present details of our model, showcase classical benchmarking of the circuits, and discuss experimental results from IBM quantum processors.