English

Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis

Quantum Physics 2021-11-29 v4

Abstract

The Greenberger-Horne-Zeilinger (GHZ) argument against noncontextual local hidden variables is recast in quantum logical terms of fundamental propositions, states and probabilities. Unlike Kochen-Specker- and Hardy-like configurations, this operator based argument proceeds within four nonintertwining contexts. The nonclassical performance of the GHZ argument is due to the choice or filtering of observables with respect to a particular state. We study the varieties of GHZ games one could play in these four contexts, depending on the chosen state of the GHZ basis.

Keywords

Cite

@article{arxiv.2006.14623,
  title  = {Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis},
  author = {Karl Svozil},
  journal= {arXiv preprint arXiv:2006.14623},
  year   = {2021}
}

Comments

25 pages, 5 figures, revised final form

R2 v1 2026-06-23T16:38:03.248Z