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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/AF7D5483-2133-41CC-9EDE-75E8567013DF | ||
| Year | 2014 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | J. Ryu, C. Lee, Y. Zhi, R. Rahaman, D. G. Angelakis, J. Lee and M. Żukowski, "Multi-setting Greenberger-Horne-Zeilinger theorem", Phys. Rev. A, vol. 89, no. 2, Feb. 2014. doi.org/10.1103/PhysRevA.89.024103 https://doi.org/http://dx.doi.org/10.1103/PhysRevA.89.024103 | ||
| Appears in Collections |
We present a generalized Greenberger-Horne-Zeilinger (GHZ) theorem, which involves more than two local measurement settings for some parties, and cannot be reduced to one with less settings. Our results hold for an odd number of parties. We use a set of observables, which are incompatible but share a common eigenstate, here a GHZ state. Such observables are called concurrent. The idea is illustrated with an example of a three-qutrit system and then generalized to systems of higher dimensions, and more parties. The GHZ paradoxes can lead to, e.g., secret sharing protocols.
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