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

• URL: http://arxiv.org/abs/2010.05266v2
• Date: Wed, 19 Jan 2022 04:32:04 GMT
• Title: Verification of Kochen-Specker-type quantum contextuality with a single photon
• Authors: Shihao Ru, Weidong Tang, Yunlong Wang, Feiran Wang, Pei Zhang and Fuli li
• Abstract summary: Contextuality provides one of the fundamental characterizations of quantum phenomena. We experimentally verify several state-dependent noncontextual models of the proofs for the Kochen-Specker theorem.
• Score: 4.367566900982151
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• 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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