Verification of Kochen-Specker-type quantum contextuality with a single photon
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.
Keywords
Cite
@article{arxiv.2010.05266,
title = {Verification of Kochen-Specker-type quantum contextuality with a single photon},
author = {Shihao Ru and Weidong Tang and Yunlong Wang and Feiran Wang and Pei Zhang and Fuli li},
journal= {arXiv preprint arXiv:2010.05266},
year = {2022}
}
Comments
9 pages, 4 figures, 2 tables, accepted by Phys. Rev. A