Testing Temporal Contextuality with Quantum Entangled Histories
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Quantum contextuality is a fundamental feature of quantum theory, which has been demonstrated in spatial scenario theoretically and experimentally. In this paper, we proposed a scheme to test temporal contextuality with a two-time entangled history state in the optical system. The contextuality is generated from the sequential projective measurements and revealed by the violation of the temporal Klyachko-Can-Binicioglu-Shumovsky inequality, which is obeyed by the noncontextual hidden variable theories. Compared with the existing schemes for testing quantum contextuality, ours can give the same physical result without collapsing the state. From the point of view of experiment, it is easier to implement as the measurement is projective measurement, and it can be extended to multiple time nodes.
KeywordsQuantum contextuality Klyachko-Can-Binicioglu-Shumovsky inequality Entangled histories Temporal correlations
This work is supported by National Natural Science Foundation of China (NSFC) under Grant No. 11274010, the Key Program of west Anhui university under Grant No.WXZR201819 and KJ103762015B23, the Key Program of Domestic Visiting of Anhui Province under Grant No. gxfxZD2016193, the Domestic Visit Project of Excellent Backbone Talents of Anhui Province under Grant No. gxgnfx2018072, Anhui Sanlian University Research Innovation Platform Project under Grant No. PTZD2019030.