Bell inequalities violated using detectors of low efficiency

Abstract

We define a family of binary outcome $n$-party $m\le n$ settings per party Bell inequalities whose members require the least detection efficiency for their violation among all known inequalities of the same type. This gives upper bounds for the minimum value of the critical efficiency --- below which no violation is possible --- achievable for such inequalities. For $m=2$, our family reduces to the one given by Larsson and Semitecolos in 2001. For $m>2$, a gap remains between these bounds and the best lower bounds. The violating state near the threshold efficiency always approaches a product state of $n$ qubits.

10 pages, 2 figures

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Cited by in corpus (6)

• Detection loophole in quantum causality and its countermeasures
• Tight detection efficiency bounds of Bell tests in no-signaling theories
• Geometric extension of Clauser-Horne inequality to more qubits
• Multi-point nonequilibrium umbrella sampling and associated fluctuation relations
• Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios
• How Likely Are You to Observe Non-locality with Imperfect Detection Efficiency and Random Measurement Settings?