{
  "abstract": "Time-reversed Young (TRY) interferometry holds a detector channel fixed while a source coordinate is scanned or programmed. We describe this measurement through a single accepted source–detector probability law obtained from scalar Fresnel propagation, the programmed source prior, and detector acceptance. The conventional fixed-source Young distribution, the source and detector marginals, and the fixed-detector TRY distribution are then different reductions of that common record. Standard information measures can therefore be assigned without ambiguity to the probability law actually measured. For a symmetric double-slit response with matched source and detector windows, the fixed-source and fixed-detector conditional distributions have the same entropy; the physically useful information from detector conditioning is instead expressed by grid-stable entropy deficits and Kullback–Leibler information gains. The canonical example gives a modest prior-to-posterior information gain and establishes a transparent baseline for more selective source programming, detector modes, or operating points. Finite slit width, finite-source element width, finite detector pixels, and finite-count entropy estimation are included to connect the ideal model with experiments. A phase scan then shows that conditional entropy and Fisher information characterize different properties of the same likelihood, while a two-mode coherence model separates record entropy from optical coherence entropy and distinguishes coherent superposition from incoherent mixture. The framework gives a unified statistical interpretation of fixed-detector, source-programmed Young interferometry while keeping optical reciprocity, Bayesian conditioning, local parameter sensitivity, and quantum state disturbance conceptually distinct.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Electrical and Computer Engineering, Binghamton University, Binghamton, NY 13902, USA"
  ],
  "article_type": "research article",
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Jianming Wen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bjpdxv6zvjqbe.bib",
  "cited_by": 0,
  "doi": "10.3390/e28101093",
  "fulltext_url": "https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13703189/?tool=EBI",
  "id": "bjpdxv6zvjqbe",
  "issns": [
    "1099-4300"
  ],
  "landing_url": "https://europepmc.org/article/PMC/PMC13703189",
  "language": "eng",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "Q"
    ],
    [
      "lcc",
      "QB460-466"
    ],
    [
      "lcc",
      "QC1-999"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7220892070",
  "pdf_url": "https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13703189/pdf/?tool=EBI",
  "pmcid": "PMC13703189",
  "pmid": null,
  "published": "2026-10-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/bjpdxv6zvjqbe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:47Z",
      "native_id": "PMC:PMC13703189",
      "source": "europepmc",
      "url": "https://europepmc.org/article/PMC/PMC13703189"
    },
    {
      "first_seen": "2026-10-31T14:21:27Z",
      "native_id": "00bdadb46e1040649061e341a0884f5f",
      "source": "doaj",
      "url": "https://doi.org/10.3390/e28101093"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum Mechanics and Applications",
      "subfield": "amo"
    }
  ],
  "title": "Measurement Entropy and Conditional Information in Time-Reversed Young Interferometry",
  "title_text": "Measurement Entropy and Conditional Information in Time-Reversed Young Interferometry",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T14:21:27Z",
  "url": "https://research.draconitic.com/paper/bjpdxv6zvjqbe",
  "venue": "Entropy (Basel, Switzerland)",
  "versions": []
}