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Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment

Entanglement between degrees of freedom of single neutrons

Yuji Hasegawa, G. Badurek, Stefan Filipp, Jürgen Klepp, Rudolf Loidl, Stephan Sponar, H. Rauch

Published Aug 7, 2009• 3 citations
Publisher
DOI
10.1016/j.nima.2009.07.060

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Entanglement between degrees of freedom, namely between the spin, path and (total) energy degrees of freedom, for single neutrons is exploited. We implemented a triply entangled Greenberger-Horne-Zeilinger(GHZ)-like state and coherently manipulated relative phases of two-level quantum subsystems. An inequality derived by Mermin was applied to analyze the generated GHZ-like state: we determined the four expectation values and finally obtained [Formula: see text]. This demonstrates the violation of a Mermin-like inequality for triply entangled GHZ-like state in a single-particle system, which, in turn, exhibits a clear inconsistency between noncontextual assumptions and quantum mechanics and confirms quantum contextuality.