Disproving hidden variable models with spin magnitude conservation

Paweł Kurzyński , Wiesław Laskowski , Adrian Kołodziejski , Károly F. Pál , Ryu Junghee , Tamás Vértesi

Abstract

The squares of the three components of the spin-s operators sum up to s(s + 1). However, a similar relation is rarely satisfied by the set of possible spin projections onto mutually orthogonal directions. This has fundamental consequences if one tries to construct a hidden variable (HV) theory describing measurements of spin projections. We propose a test of local HV models in which spin magnitudes are conserved. These additional constraints imply that the corresponding inequalities are violated within quantum theory by larger classes of correlations than in the case of standard Bell inequalities. We conclude that in any HV theory pertaining to measurements on a spin one can find situations in which either HV assignments do not represent a physical reality of a spin vector, but rather provide a deterministic algorithm for prediction of the measurement outcomes, or HV assignments represent a physical reality, but the spin cannot be considered as a vector of fixed length.
Author Paweł Kurzyński
Paweł Kurzyński,,
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, Wiesław Laskowski (FMPI/ITPA)
Wiesław Laskowski,,
- Institute of Theoretical Physics and Astrophysics
, Adrian Kołodziejski (FMPI/ITPA)
Adrian Kołodziejski,,
- Institute of Theoretical Physics and Astrophysics
, Károly F. Pál
Károly F. Pál,,
-
, Ryu Junghee
Ryu Junghee,,
-
, Tamás Vértesi
Tamás Vértesi,,
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Journal seriesCommunications Physics, ISSN 2399-3650, (N/A 20 pkt)
Issue year2019
Vol2
Pages1-5
Publication size in sheets0.50
Article number15
DOIDOI:10.1038/s42005-019-0114-z
URL https://www.nature.com/articles/s42005-019-0114-z.pdf
Languageen angielski
LicenseJournal (articles only); published final; Uznanie Autorstwa (CC-BY); with publication
Score (nominal)20
Score sourcejournalList
ScoreMinisterial score = 20.0, 27-05-2020, ArticleFromJournal
Publication indicators WoS Citations = 0.000
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