Optimal statistical analyses of Bell experiments Article Swipe
We show how both smaller and more reliable p-values can be computed in Bell-type experiments by using statistical deviations from no-signalling equalities to reduce statistical noise in the estimation of Bell's S or Eberhard's J. Further improvement is obtained by using Wilks' likelihood ratio test based on the four tetranomially distributed vectors of counts of the four different outcome combinations, one 4-vector for each of the four setting combinations. The methodology is illustrated by application to the loophole-free Bell experiments of 2015 and 2016 performed in Delft and Munich, at NIST, and in Vienna respectively; and also to the earlier Innsbruck experiment of Weihs et al. (1998) and the recent Munich experiment of Zhang et al. (2022), which investigates use of a loophole-free Bell experiment as part of a protocol for Device Independent Quantum Key Distribution, DIQKD.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2209.00702
- https://arxiv.org/pdf/2209.00702
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4294754039
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Raw OpenAlex JSON
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https://openalex.org/W4294754039Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2209.00702Digital Object Identifier
- Title
-
Optimal statistical analyses of Bell experimentsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-09-01Full publication date if available
- Authors
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Richard D. GillList of authors in order
- Landing page
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https://arxiv.org/abs/2209.00702Publisher landing page
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https://arxiv.org/pdf/2209.00702Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2209.00702Direct OA link when available
- Concepts
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NIST, Statistical hypothesis testing, Statistics, Kochen–Specker theorem, Bell's theorem, Computer science, Mathematics, Physics, Quantum entanglement, Quantum, Speech recognition, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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