Tight inequalities for qutrit state-independent contextuality

Physics – Quantum Physics

Scientific paper

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REVTeX4, 5 pages, 2 figures

Scientific paper

Recently, Yu and Oh have proposed a noncontextuality inequality [Phys. Rev. Lett. 108, 030402 (2012)] which involves the simplest and hence most fundamental scenario for state-independent quantum contextuality. As we show, Yu and Oh's inequality is neither tight (i.e., it does not belong to the minimal set which completely separates contextual and noncontextual correlations) nor optimal (i.e., its quantum violation is not maximal). Moreover, we provide a method for obtaining state-independent noncontextuality inequalities with the maximal violation and, using it, we identify two essentially different state-independent tight inequalities with maximal quantum violation for Yu and Oh's scenario. These inequalities allow for an easier and more significant experimental test of qutrit state-independent quantum contextuality.

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