Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis
arXiv:2006.14623 · doi:10.1007/s10701-021-00515-z
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.
25 pages, 5 figures, revised final form
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