Quantum Classical Correspondence Using Coherent State Measurements and Husimi Q Probability Distributions

We propose and simulate a protocol to evolve a quantum particle forward in time such that its trajectory closely matches that of the particle's Newtonian counterpart. Using short bursts of Schrödinger time-evolution interleaved with positive operator-valued measurements (POVMs) in the coherent basis, we demonstrate quantum-classical convergence for durations far beyond Schrödinger time-evolution alone. We examine the impact of the time between measurements Δt and the reduced Planck's constant hbar on divergence time. Results indicate that for appropriate values of Δt, smaller values of hbar lead to longer divergence times. This method suggests a elegant, intuitive bridge to recover classical motion from quantum postulates.