dorsal/arxiv
View SchemaComplementarity, measurement and information in interference experiments
| Authors | G. Bimonte, R. Musto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208024 |
| URL | https://arxiv.org/abs/quant-ph/0208024 |
Abstract
Different criteria (Shannon's entropy, Bayes' average cost, Durr's normalized rms spread) have been introduced to measure the "which-way" information present in interference experiments where, due to non-orthogonality of the detector states, the path determination is incomplete. For each of these criteria, we determine the optimal measurement to be carried on the detectors, in order to read out the maximum which-way information. We show that, while in two-beam experiments, the optimal measurement is always provided by an observable involving the detector only, in multibeam experiments, with equally populated beams and two-state detectors, this is the case only for the Durr criterion, as the other two require the introduction of an ancillary quantum system, as part of the read-out apparatus.
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"date_created": "2026-03-02T18:01:52.361000Z",
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"abstract": "Different criteria (Shannon\u0027s entropy, Bayes\u0027 average cost, Durr\u0027s normalized\nrms spread) have been introduced to measure the \"which-way\" information present\nin interference experiments where, due to non-orthogonality of the detector\nstates, the path determination is incomplete. For each of these criteria, we\ndetermine the optimal measurement to be carried on the detectors, in order to\nread out the maximum which-way information. We show that, while in two-beam\nexperiments, the optimal measurement is always provided by an observable\ninvolving the detector only, in multibeam experiments, with equally populated\nbeams and two-state detectors, this is the case only for the Durr criterion, as\nthe other two require the introduction of an ancillary quantum system, as part\nof the read-out apparatus.",
"arxiv_id": "quant-ph/0208024",
"authors": [
"G. Bimonte",
"R. Musto"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "Complementarity, measurement and information in interference experiments",
"url": "https://arxiv.org/abs/quant-ph/0208024"
},
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