Bell inequality violation in the presence of vacancies and incomplete measurements

C. S. Hall, Kaila and K. L. Oi, Daniel (2014) Bell inequality violation in the presence of vacancies and incomplete measurements. Working paper. arXiv.org. (Unpublished)

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Abstract

The characterization of a quantum system can be complicated by non-ideal measurement processes. In many systems, the underlying physical measurement is only sensitive to a single fixed state, complementary outcomes are inferred by non-detection leaving them vulnerable to out-of-Hilbert space errors such as particle loss. It is still possible to directly verify the violation of a Bell inequality, hence witness entanglement of a bipartite state, in the presence of large vacancy rates using such an incomplete measurement by optimizing the measurement settings. The scheme is robust against imperfect a priori state knowledge and also moderate amounts of error in state determination.