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arXiv · 2606.22707

Can a Measurement Be Undone? Recovering the State of a Measured Microscopic System with a Reversible Measuring Apparatus

Peter Renkel
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Abstract

We propose a direct, model-independent search for irreversible coherence loss during a reversible measurement. A mesoscopic apparatus measures a microscopic two-state system by storing which-state information and is then returned to its pre-measurement state; unitary quantum mechanics predicts recovered coherence, while collapse leaves residual endpoint loss. In one representative device, a coherently controlled molecular force source displaces a charged nanoparticle that serves as the apparatus; during one $4.19\,{\rm ms}$ measurement-and-reversal cycle, its two states become almost fully distinguishable. Such a device would give a first direct bound in a measurement-and-reversal setting. Repeating this cycle $5\times10^5$ times would bound the corresponding irreversible coherence-loss rate beyond ordinary decoherence at $5.51\,{\rm s}^{-1}$. Continuous Spontaneous Localization is included as a secondary benchmark on the same apparatus history.

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Peter Renkel. 2026-06-21. Can a Measurement Be Undone? Recovering the State of a Measured Microscopic System with a Reversible Measuring Apparatus. https://arxiv.org/abs/2606.22707

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