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Entropic Reciprocity in Time-Reversed Young Interferometry

arXiv Quantum Physics
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⚡ Quantum Brief
Jianming Wen’s May 2026 study reveals time-reversed Young interferometry doesn’t reverse optical entropy but reorganizes it, challenging classical assumptions about wave propagation symmetry. The fixed detector in this setup conditions the source–detector Green function, generating a unique source-label probability distribution that differs fundamentally from standard interferometry. Marginal entropies in forward and time-reversed configurations are unequal, but mutual information between source and detector coordinates remains invariant, serving as the key reciprocal quantity. Near destructive interference, conditioned source-label entropy can decrease while Fisher information for phase, tilt, or defocus perturbations increases, highlighting an unexpected trade-off in information processing. This identifies time-reversed Young interferometry as a novel source-space information processor, lacking any equivalent in conventional detector-plane fringe analysis.
Entropic Reciprocity in Time-Reversed Young Interferometry

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Quantum Physics arXiv:2605.01052 (quant-ph) [Submitted on 1 May 2026] Title:Entropic Reciprocity in Time-Reversed Young Interferometry Authors:Jianming Wen View a PDF of the paper titled Entropic Reciprocity in Time-Reversed Young Interferometry, by Jianming Wen View PDF HTML (experimental) Abstract:We show that time-reversed Young interferometry reorganizes, rather than reverses, optical entropy. A fixed detector conditions the reciprocal source--detector Green function and produces a source-label probability distribution. Marginal entropies in the standard and time-reversed geometries are generally unequal; the reciprocal invariant is instead the mutual information between source and detector coordinates. Near a destructive response, the conditioned source-label entropy can decrease while Fisher information for small phase, tilt, or defocus perturbations increases. The result identifies time-reversed Young interferometry as a source-space information processor with no analogue in ordinary detector-plane fringe readout. Comments: Subjects: Quantum Physics (quant-ph); Statistics Theory (math.ST); Data Analysis, Statistics and Probability (physics.data-an); Optics (physics.optics) Cite as: arXiv:2605.01052 [quant-ph] (or arXiv:2605.01052v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2605.01052 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jianming Wen [view email] [v1] Fri, 1 May 2026 19:31:26 UTC (439 KB) Full-text links: Access Paper: View a PDF of the paper titled Entropic Reciprocity in Time-Reversed Young Interferometry, by Jianming WenView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-05 Change to browse by: math math.ST physics physics.data-an physics.optics stat stat.TH References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics