Device-Independent Bounds on Detection Efficiency

Abstract

In many quantum information applications, a minimum detection efficiency must be exceeded to ensure success. Protocols depending on the violation of a Bell inequality, for instance, may be subject to the so-called detection loophole: imperfect detectors may yield spurious violations, which consequently cannot be used to ensure, say, quantum cryptographic security. Hence, we investigate the possibility of giving lower bounds on detector efficiency even if an adversary has full control over both the source and the detectors. To this end, we present a technique to systematically derive Bell inequalities free from the detection loophole using only the observed measurements statistics. The violation of these inequalities certifies that the detectors used exceed a certain minimal efficiency.

5 pages, 2 figures

References in corpus (6)

• Significant-loophole-free test of Bell's theorem with entangled photons
• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Bounding the set of quantum correlations
• Secure device-independent quantum key distribution with causally independent measurement devices
• Robust Self Testing of the Singlet
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Cited by in corpus (10)

• Semidefinite programming relaxations for quantum correlations
• Efficient nonlinear witnessing of non-absolutely separable states with lossy detectors
• Beating detection loophole in nonlinear entanglement witnesses
• Detection loophole in measurement-device-independent entanglement witness
• Noisy quantum input loophole in measurement-device-independent entanglement witnesses
• Device-independent secret key rates via a post-selected Bell inequality
• Quantum walk on a square lattice with identical particles
• Closing loopholes of measurement-device-independent nonlinear entanglement witnesses
• Effects of the detection loophole on rival entanglement attestation techniques
• Quantitative and Optimal Device-Independent Lower Bounds on Detection Efficiency