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- W2000609802 abstract "It is proved that all states of three spin-$frac{1}{2}$ particles exhibiting an ``all versus nothing'' contradiction between quantum mechanics and the local realism of Einstein, Podolsky, and Rosen are exactly the Greenberger-Horne-Zeilinger (GHZ) states and the states obtained from them by local unitary transformations. The proof is obtained by showing that there are at most four elements (except for a different sign) in a set of mutually commuting nonlocal spin observables in the three-qubit system and using the certain algebraic properties that Pauli's matrices satisfy. We show that only does such a set of four nonlocal spin observables present a Greenberger-Horne-Zeilinger-Mermin-like argument. This also reveals the equivalence between the GHZ theorem and maximal violation of the Bell inequality." @default.
- W2000609802 created "2016-06-24" @default.
- W2000609802 creator A5019817679 @default.
- W2000609802 date "2004-09-24" @default.
- W2000609802 modified "2023-09-27" @default.
- W2000609802 title "General proof of the Greenberger-Horne-Zeilinger theorem" @default.
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- W2000609802 doi "https://doi.org/10.1103/physreva.70.032109" @default.
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