Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis

• URL: http://arxiv.org/abs/2006.14623v4
• Date: Wed, 24 Nov 2021 23:46:17 GMT
• Title: Generalized Greenberger-Horne-Zeilinger arguments from quantum logical analysis
• Authors: Karl Svozil
• Abstract summary: The Greenberger-Horne-Zeilinger (GHZ) argument against noncontextual local hidden variables is recast in quantum logical terms. Unlike Kochen-Specker- and Hardy-like configurations, this operator based argument proceeds within four nonintertwining contexts.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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