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arXiv · 2010.05266

Verification of Kochen-Specker-type quantum contextuality with a single photon

Shihao Ru·Weidong Tang·Yunlong Wang·Feiran Wang·Pei Zhang·Fuli li
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Abstract

Contextuality provides one of the fundamental characterizations of quantum phenomena, and can be used as a resource in lots of quantum information processing. In this paper, we summarize and derive some equivalent noncontextual inequalities from different noncontextual models of the proofs for Kochen-Specker theorem based on Greenberger-Horne-Zeilinger states. These noncontextual inequalities are equivalent up to some correlation items which hold both for noncontextual hidden variable theories and quantum mechanics. Therefore, using single-photon hyperentangled Greenberger-Horne-Zeilinger states encoded by spin, path and orbital angular momentum, we experimentally verify several state-dependent noncontextual models of the proofs for the Kochen-Specker theorem by testing an extreme simplest Mermin-like inequality.

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Shihao Ru, Weidong Tang, Yunlong Wang, Feiran Wang, Pei Zhang, Fuli li. 2020-10-11. Verification of Kochen-Specker-type quantum contextuality with a single photon. https://arxiv.org/abs/2010.05266

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