Detection Efficiency Bounds in (Semi-)Device-Independent Scenarios
arXiv:2601.00077 · doi:10.1007/s13538-026-02008-8
Abstract
This article provides a comprehensive review of the critical role of detection efficiency in demonstrating non-classicality across various device-independent and semi-device-independent scenarios. The central focus is the detection loophole, a challenge in which imperfect detectors can allow classical hidden variable models to mimic quantum correlations, thus masking genuine non-classicality. As a review, the article revisits the paradigmatic Bell scenario, detailing the efficiency requirements for the CHSH inequality, such as the 2/3 threshold for symmetric efficiencies, and traces the historical trajectory toward the first loophole-free tests. The analysis extends to other causal structures to explore how efficiency requirements are affected in different contexts. These include the instrumental scenario, which for binary variables has recently been shown to follow the same inefficiency bounds as the bipartite dichotomic Bell scenario; the prepare-and-measure scenario, where inefficiencies impact the certification of a quantum system's dimension and create security breaches in protocols such as Quantum Key Distribution (QKD); and the bilocality scenario, which exemplifies how employing multiple independent sources can significantly relax the required efficiencies to certify non-classical correlations.
References in corpus (31)
- Testing the Hilbert space dimension
- Device-independent tests of classical and quantum dimensions
- Semi-device-independent security of one-way quantum key distribution
- Loopholes in Bell Inequality Tests of Local Realism
- Local deterministic model of singlet state correlations based on relaxing measurement independence
- Cosmic Bell Test: Measurement Settings from Milky Way Stars
- Relaxed Bell inequalities and Kochen-Specker theorems
- Optical Properties of Superconducting Nanowire Single-Photon Detectors
- A unifying framework for relaxations of the causal assumptions in Bell's theorem
- Detection loophole in asymmetric Bell experiments
- Bounding the set of finite dimensional quantum correlations
- Detection Loophole in Bell experiments: How post-selected local correlations can look non-local
- Necessary and sufficient detection efficiency for the Mermin inequalities
- Experimental bilocality violation without shared reference frames
- Combinatorics and Quantum Nonlocality
- Large violation of Bell inequalities using both particle and wave measurements
- Quantifying causal influences in the presence of a quantum common cause
- Locality, detection efficiencies, and probability polytopes
- Robust nonlocality tests with displacement-based measurements
- Detection efficiency and noise in semi-device independent randomness extraction protocol
- Closing the detection loophole in multipartite Bell tests using GHZ states
- The future of secure communications: device independence in quantum key distribution
- Symmetric multipartite Bell inequalities via Frank-Wolfe algorithms
- Violation of Bell Inequality with Unentangled Photons
- Detection loophole in quantum causality and its countermeasures
- Test of the physical significance of Bell nonlocality
- Tight detection efficiency bounds of Bell tests in no-signaling theories
- Prepare-and-Magic: Semi-Device Independent Magic Certification in the Prepare-and-Measure Scenario
- Coincidence postselection for genuine multipartite nonlocality: Causal diagrams and threshold efficiencies
- Stronger Nonlocality in GHZ States: A Step Beyond the Conventional GHZ Paradox
- Minimum Detection Efficiencies for Loophole-free Genuine Nonlocality Tests