Abstract
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.
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