Optimal measurement bases for Bell-tests based on the CH-inequality

Details Optimal measurement bases for Bell-tests based on the CH-inequality Optimal measurement bases for Bell-tests based on the CH-inequality

2011-11-03

arxiv.org/abs/1111.0822v1

Physics

Quantum Physics

8 pages, 6 figures

Scientific paper

Hardy test of quantum non-locality can be seen as a particular case of the Bell tests based on the Clauser-Horne (CH) inequality. Here we stress this connection when we analyze the relation between the CH-inequality violation, its threshold detection efficiency, and the measurement settings adopted in the test. It is well known that the threshold efficiencies decrease when one considers partially entangled states and that the use of these states, unfortunately, generates a reduction in the CH-violation. Nevertheless, these quantities are both dependent on the measurement settings considered, and in this paper we show that there are measurement bases which allow for an optimal situation in this trade-off relation. These bases are given as a generalization of the Hardy measurement bases, and they will be relevant for future Bell tests relying in pairs of entangled qubits.

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