Princeton University Team Models Stabilizer Rényi Entropy for Understanding Nonstabilizerness

Zhenyu Xiao and Shinsei Ryu at Princeton University computed the stabilizer Rényi entropy to measure nonstabilizerness within one-dimensional random circuits, using a strong tensor network technique and hydrodynamic arguments. Their findings reveal diffusive behaviour in the late-time evolution of nonstabilizerness, showing its approach to a random state with a characteristic scaling of one over time. The results broaden understanding of nonstabilizerness and potentially inform the creation of realistic quantum states within Hamiltonian dynamics. The stabilizer Rényi entropy gap, measuring how difficult a quantum system is to describe using a stabilizer state,…