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Mysteries, Puzzles, and Paradoxes in Quantum Mechanics

Phase measurement tests of quantum mechanics

William J. Munro, Gerard J Milburn

Published Jan 1, 1999• 0 citations
Publisher

Abstract

We present a potential realization of the Greenberger, Horne and Zeilinger “all or nothing” contradiction of quantum mechanics with local realism using phase measurement techniques in a simple photon number triplet.
DOI
10.1063/1.57869

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A proposal is made for obtaining a mesoscopic realization of the Greenberger-Horne-Zeilinger (GHZ) "all or nothing" contradiction between quantum mechanics and local realism in the context of cavity QED. The proposed experiment involves three separated micromaser cavities, each initially prepared in a coherent state, which are then entangled by dispersive atom-field interactions followed by selective ionization of a single atom that has passed through all three cavities. The cavities are then probed individually by single atoms manipulated to obtain a measurement of the parity of the cavity fields. Using an isomorphism between coherent-state cavity fields and a spin-\textonehalf{} system, we show how this experiment gives rise to violations of local realism in the manner of GHZ.