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

• URL: http://arxiv.org/abs/2510.16027v1
• Date: Wed, 15 Oct 2025 21:04:32 GMT
• Title: Quantum Classical Correspondence Using Coherent State Measurements and Husimi Q Probability Distributions
• Authors: Youheng Zheng,
• Abstract summary: 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.<n>We demonstrate quantum-classical convergence for durations far beyond Schr"odinger time-evolution alone.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 Schr\"odinger time-evolution interleaved with positive operator-valued measurements (POVMs) in the coherent basis, we demonstrate quantum-classical convergence for durations far beyond Schr\"odinger time-evolution alone. We examine the impact of the time between measurements $\Delta t$ and the reduced Planck's constant $\hbar$ on divergence time. Results indicate that for appropriate values of $\Delta t$, smaller values of $\hbar$ lead to longer divergence times. This method suggests a elegant, intuitive bridge to recover classical motion from quantum postulates.

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