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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.16027 |
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| _version_ | 1866914100708114432 |
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| author | Zheng, Youheng |
| author_facet | Zheng, Youheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Classical Correspondence Using Coherent State Measurements and Husimi Q Probability Distributions Zheng, Youheng Quantum Physics 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. |
| title | Quantum Classical Correspondence Using Coherent State Measurements and Husimi Q Probability Distributions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.16027 |