Benchmark quantum computer with analytical single spin-flip dynamics

The physical world is inherently out of equilibrium, and understanding the non-equilibrium behavior of quantum many-body systems remains a key open challenge in condensed matter physics. Recent advances in quantum computing platforms, such as Rydberg atoms and superconducting qubits, have opened promising avenues for studying non-equilibrium dynamics of many-particle systems using quantum simulators. In this work, we propose a benchmark scheme for validating the dynamical evolution outcomes of future large-scale qubit systems, which far exceeds the capability of classical numerical benchmark. Based on the J₁-J₂ J 1 − J 2 Heisenberg model, we provide tunable analytical results including quantum walk dynamics, the out-of-time-ordered correlator (OTOC), and the butterfly velocity. Furthermore, taking IBM’s programmable quantum platform as an example, we design a scheme for simulating quantum walk dynamics and experimentally demonstrate the feasibility of benchmarking with our proposed dynamical observables.