Generalized Greenberger–Horne–Zeilinger Arguments from Quantum Logical Analysis

被引：0
作者：
Karl Svozil
机构：
[1] TU Wien,Institute for Theoretical Physics
来源：
Foundations of Physics | 2022年 / 52卷
关键词：
Greenberger–Horne–Zeilinger argument; Gleason theorem; Kochen–Specker theorem; Born rule; Gadget graphs; Greechie diagram; McKay–Megill–Pavicic diagram (MMP); Orthogonality hypergraph;
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摘要：
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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