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 (88)
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Violation of Bell's inequality under strict Einstein locality conditions
- Significant-loophole-free test of Bell's theorem with entangled photons
- A strong loophole-free test of local realism
- Detecting Single Infrared Photons with 93% System Efficiency
- Bell inequalities for arbitrarily high dimensional systems
- Bell violation with entangled photons, free of the fair-sampling assumption
- Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
- Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
- The lesson of causal discovery algorithms for quantum correlations: Causal explanations of Bell-inequality violations require fine-tuning
- Violation of local realism with freedom of choice
- Quantum non-locality in two three-level systems
- Testing the Hilbert space dimension
- Device-independent tests of classical and quantum dimensions
- Semi-device-independent security of one-way quantum key distribution
- Challenging local realism with human choices
- Characterizing the nonlocal correlations of particles that never interacted
- Loopholes in Bell Inequality Tests of Local Realism
- Bilocal versus non-bilocal correlations in entanglement swapping experiments
- Local deterministic model of singlet state correlations based on relaxing measurement independence
- The definition of multipartite nonlocality
- Constriction-limited detection efficiency of superconducting nanowire single-photon detectors
- Bell's theorem with and without inequalities for the three-qubit Greenberger-Horne-Zeilinger and W states
- Cosmic Bell Test: Measurement Settings from Milky Way Stars
- Symmetries of the Bell correlation inequalities
- Maximal Violation of Bell's Inequalities for Continuous Variable Systems
- An operational framework for nonlocality
- Relaxed Bell inequalities and Kochen-Specker theorems
- How much measurement independence is needed in order to demonstrate nonlocality?
- Optical Properties of Superconducting Nanowire Single-Photon Detectors
- An experimental demonstration of single photon nonlocality
- Polynomial Bell inequalities
- Experimental estimation of the dimension of classical and quantum systems
- A unifying framework for relaxations of the causal assumptions in Bell's theorem
- Quantum nonlocality, Bell inequalities and the memory loophole
- Semi-device independent random number expansion without entanglement
- Experimental Device-independent Tests of Classical and Quantum Dimensions
- Detection loophole in asymmetric Bell experiments
- Certifying the dimension of classical and quantum systems in a prepare-and-measure scenario with independent devices
- Semi-device independent random number expansion protocol with n to 1 quantum random access codes
- Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality
- Entanglement assisted random access codes
- Bounding the set of finite dimensional quantum correlations
- Minimum detection efficiency for a loophole-free atom-photon Bell experiment
- Experimental demonstration of non-bilocal quantum correlations
- Experimental non-locality in a quantum network
- Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
- Detection Loophole in Bell experiments: How post-selected local correlations can look non-local
- Violation of local realism vs detection efficiency
- Quantum violation of an instrumental test
- Causal hierarchy of multipartite Bell nonlocality
- Bounding the sets of classical and quantum correlations in networks
- Necessary and sufficient detection efficiency for the Mermin inequalities
- Strict detector-efficiency bounds for n-site Clauser-Horne inequalities
- Experimental Tests of Classical and Quantum Dimensions
- Experimental bilocality violation without shared reference frames
- Combinatorics and Quantum Nonlocality
- Large violation of Bell inequalities using both particle and wave measurements
- Robustness of Device Independent Dimension Witnesses
- The standard fair sampling assumption is not necessary to test local realism
- Quantum violations in the Instrumental scenario and their relations to the Bell scenario
- Algorithmic Pseudorandomness in Quantum Setups
- Quantifying causal influences in the presence of a quantum common cause
- Bell inequalities violated using detectors of low efficiency
- Feasibility of loophole-free nonlocality tests with a single photon
- Locality, detection efficiencies, and probability polytopes
- Realistic loophole-free Bell test with atom-photon entanglement
- Robust nonlocality tests with displacement-based measurements
- Maximal CHSH violations with low efficiency photodetection and homodyne measurements
- Minimum Detection Efficiencies for a Loophole-Free Bell-type Test
- Minimum detection efficiency for a loophole-free violation of the Braunstein-Caves chained Bell inequalities
- Closing the detection loophole in multipartite Bell tests using GHZ states
- Quantum randomness protected against detection loophole attacks
- Detection efficiency and noise in semi-device independent randomness extraction protocol
- Tests of Bell inequality with arbitrarily low photodetection efficiency and homodyne measurements
- Closing the detection loophole in tripartite Bell tests using the W state
- The future of secure communications: device independence in quantum key distribution
- Symmetric multipartite Bell inequalities via Frank-Wolfe algorithms
- Closing the detection loophole in multipartite Bell experiments with a limited number of efficient detectors
- 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