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Quantum Bounds on Detector Efficiencies for Violating Bell Inequalities Using Semidefinite Programming

AuthorAlber, Gernot; Sauer, Alexander
Date2020
TypeJournal Article
AbstractLoophole-free violations of Bell inequalities are crucial for fundamental tests of quantum nonlocality. They are also important for future applications in quantum information processing, such as device-independent quantum key distribution. Based on a detector model which includes detector inefficiencies and dark counts, we estimate the minimal requirements on detectors needed for performing loophole-free bipartite and tripartite Bell tests. Our numerical investigation is based on a hierarchy of semidefinite programs for characterizing possible quantum correlations. We find that for bipartite setups with two measurement choices and our detector model, the optimal inequality for a Bell test is equivalent to the Clauser–Horne inequality.
InCryptography
PublisherMDPI
Urlhttps://tubiblio.ulb.tu-darmstadt.de/id/eprint/127004