The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
Bell violation using entangled photons without the fair-sampling assumption
Open accessAbstract
The violation of a Bell inequality is an experimental observation that forces the abandonment of a local realistic viewpoint--namely, one in which physical properties are (probabilistically) defined before and independently of measurement, and in which no physical influence can propagate faster than the speed of light. All such experimental violations require additional assumptions depending on their specific construction, making them vulnerable to so-called loopholes. Here we use entangled photons to violate a Bell inequality while closing the fair-sampling loophole, that is, without assuming that the sample of measured photons accurately represents the entire ensemble. To do this, we use the Eberhard form of Bell's inequality, which is not vulnerable to the fair-sampling assumption and which allows a lower collection efficiency than other forms. Technical improvements of the photon source and high-efficiency transition-edge sensors were crucial for achieving a sufficiently high collection efficiency. Our experiment makes the photon the first physical system for which each of the main loopholes has been closed, albeit in different experiments.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“As the CHSH inequality is minimally violated in an optically realised system, 64,65 the randomness output is also very small (with min-entropy of H min =7.2 × 10 -5 in each run), and the randomness generation rate is 0.4 bits per s.”
From Quantum random number generation (2016) · cites this paper as [64]
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573
Experimental Test of Bell's Inequalities Using Time- Varying Analyzers
Aspect, A., Dalibard, J., & Roger, G. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.1804 · Cited by 3,942
Speakable and Unspeakable in Quatum Mechanics
Bell, J. S., & Mermin, N. D. (1988) · Physics Today · doi:10.1063/1.2811599 · Cited by 2,985
Experimental Test of Local Hidden-Variable Theories
Freedman, S. J., & Clauser, J. F. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.938 · Cited by 1,999
Violation of Bell's Inequality under Strict Einstein Locality Conditions
Weihs, G., Jennewein, T., Simon, C., Weinfurter, H., & Zeilinger, A. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5039 · Cited by 1,643
Self-citationExperimental consequences of objective local theories
Clauser, J. F., & Horne, M. A. (1974) · Physical Review D · doi:10.1103/physrevd.10.526 · Cited by 1,537
Experimental violation of a Bell's inequality with efficient detection
Rowe, M. A., Kielpinski, D., Meyer, V., Sackett, C. A., Itano, W. M., Monroe, C., & Wineland, D. J. (2001) · Nature · doi:10.1038/35057215 · Cited by 1,043
Counting near-infrared single-photons with 95% efficiency
Lita, A. E., Miller, A. J., & Nam, S. W. (2008) · Optics Express · doi:10.1364/oe.16.003032 · Cited by 734
Self-citation
Research works printed but not linked: 1
- Alicki, R. Remarks on the violation of Bell’s inequality in Josephson phase qubits. Preprint at http://arxiv.org/abs/0911.4009 (2009) · arXiv
Cited by
Sorted by citations
Items 401–500 of 657
Li, D., Gao, F., Cao, Y. N., & Wen, Q. (2019) · Quantum Information Processing · doi:10.1007/s11128-019-2238-1 · Cited by 1
Ontological Enigmas: What is the True Nature of Reality?
Glattfelder, J. B. (2019) · The frontiers collection · doi:10.1007/978-3-030-03633-1_10 · Cited by 1
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.010 · Cited by 1
Quantum Optical Tests of the Foundations of Physics
Shalm, L. K., Steinberg, A. M., Kwiat, P. G., & Chiao, R. Y. (2023) · Springer handbooks · doi:10.1007/978-3-030-73893-8_84 · Cited by 1
Bertlmann, R. A., & Friis, N. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780199683338.003.0013 · Cited by 1
Experimental demonstration of the criterion for the prepare-and-measure nonclassicality
Luo, M., Zhang, X., & Zhou, X. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad22c7 · Cited by 1
Moradi, M., Afsary, M., Mironowicz, P., Oudot, E., & Stobińska, M. (2026) · Physical Review Research · doi:10.1103/ycd9-nc6q · Cited by 1
The Essence of More Nonlocality with Less Entanglement in Bell Tests
Tan, Y.-G., Liu, Q., Hu, Y.-H., & Lü, H. (2014) · Communications in Theoretical Physics · doi:10.1088/0253-6102/61/1/07 · Cited by 1
Violations of multisetting quaternion and octonion Bell inequalities
Kiesewetter, S., Drummond, P. D., & Reid, M. D. (2015) · Physical Review A · doi:10.1103/physreva.92.032118 · Cited by 1
Violation of an extended Wigner inequality with high-angular-momentum states
Plick, W. N., Fickler, R., Łapkiewicz, R., & Ramelow, S. (2015) · Physical Review A · doi:10.1103/physreva.91.022124 · Cited by 1
Self-citationTesfa, S. (2020) · Lecture notes in physics · doi:10.1007/978-3-030-62348-7_7 · Cited by 1
The ESAB effect and the physical meaning of the vector potential
Carles, R., Pujol, O., & Pérez, J.-P. (2021) · Advances in imaging and electron physics · doi:10.1016/bs.aiep.2021.04.004 · Cited by 1
Topics on Quantum Information Science
Curilef, S., & Plastino, A. R. (2021) · IntechOpen eBooks · doi:10.5772/intechopen.94639 · Cited by 1
Simple Quantum Communication Protocol Based on Bell Test
Fan, Y., & Zhang, Z. (2022) · International Conference on Wireless Communications and Signal Processing (WCSP) · doi:10.1109/wcsp55476.2022.10039287 · Cited by 1
The Three-Dimensional Schrödinger Equation
Bertlmann, R. A., & Friis, N. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780199683338.003.0007 · Cited by 1
Quantum Optics in Information and Control
Zhi, T., & Colin, W. (2013) · National University of Singapore · Cited by 1
Kong, X., Shi, M., Wang, M., Shi, F., Wang, P., Kong, F., Huang, P., Zhang, Q., Ma, W., Chen, H., et al. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1602.02455 · Cited by 1
Fundamental Tests of Quantum Mechanics
Bachor, H., & Ralph, T. C. (2019) · Wiley eBooks · doi:10.1002/9783527695805.ch12 · Cited by 1
Quantum entanglement, emergence, and noncommutative blowupsPreprint
Beil, C. (2013) · arXiv (Cornell University) · Cited by 1
Experimental prospects for detecting the quantum nature of spacetime
Corona-Ugalde, P. (2017) · UWSpace (University of Waterloo) · Cited by 1
A New Paradox in Quantum MechanicsPreprint
Mardari, G. N. (2019) · Preprints.org · doi:10.20944/preprints201911.0234.v1
Exploring quantum many-body systems from an entanglement and nonlocality perspective
López, A. A. (2020) · doi:10.5821/dissertation-2117-329273 · Cited by 1
Spooky action at a distance also acts in the pastPreprint
Singh, M. (2021) · arXiv (Cornell University) · Cited by 1
Nanowire-based Quantum Photonics
Bulgarini, G. (2014) · Data Archiving and Networked Services (DANS) · doi:10.4233/uuid:a063c57d-a8b3-4337-a527-f5bef740f91d · Cited by 1
Laloë, F. (2019) · Cambridge University Press eBooks · doi:10.1017/9781108569361.004 · Cited by 1
The Josephson mixer : a swiss army knife for microwave quantum optics
Flurin, E. (2014) · theses.fr (ABES) · doi:10.70675/99d2d151z1e71z4069z9e9czce990df60343 · Cited by 16
Breaking the Unbreakable: Exploiting Loopholes in Bell’s Theorem to Hack Quantum Cryptography
Jogenfors, J. (2017) · doi:10.3384/diss.diva-142056 · Cited by 1
Bertlmann, R. A., & Friis, N. (2023) · Oxford University Press eBooks · doi:10.1093/oso/9780199683338.003.0006 · Cited by 1
Quantum theory from the perspective of general probabilistic theories
Al-Safi, S. W. (2015) · Apollo (University of Cambridge) · doi:10.17863/cam.16137 · Cited by 2
Many-body Bell inequalities for bosonic qubits
Chwedeńczuk, J. (2022) · SciPost Physics Core · doi:10.21468/scipostphyscore.5.2.025 · Cited by 14
Annex: Basic mathematical tools of quantum mechanics
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.013
Experiments: quantum reduction seen in real time
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.011
Impossibility of superluminal communication
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.019
Modeling the Eberhard inequality based testsPreprint
Titova, P., & Khrennikov, A. Y. (2014) · arXiv (Cornell University) · doi:10.48550/arxiv.1410.6888
Can the Freedom-of-Choice Loophole be Closed Merely with Genuine Randomness?
Tan, Y.-G., Liu, Q., Hu, Y.-H., & Lü, H. (2014) · International Journal of Theoretical Physics · doi:10.1007/s10773-014-2040-x
Pryde, G. J. (2014) · Nature Photonics · doi:10.1038/nphoton.2014.60
Quantum measurements at different times
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.020
Teizen, V. F. (2014) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/d.76.2014.tde-23042014-164204
Nonlocal Polarization Interferometry and Entanglement Detection
Williams, B. P. (2014)
Entanglement and Interference Resources in Quantum Computation and Communication
Stahlke, D. (2014) · KiltHub Repository · doi:10.1184/r1/6716282
Spin Squeezing, Macrorealism and the Heisenberg uncertainty principlePreprint
Vitagliano, G. (2015) · arXiv (Cornell University) · doi:10.48550/arxiv.1511.08104
Not All Local-Realistic Theories Are Forbidden by Bell's TheoremPreprint
Suleiman, R. (2015) · viXra
Tailoring entanglement through domain engineering in a lithium niobate
Tan, A., Wu, Z., Chen, Z., Xu, F., & Lu, Y. (2014)
Suleiman, R. (2015) · viXra
Suleiman, R. (2015) · viXra
Introduction and Essential Physics
Shadbolt, P. (2015) · Springer theses · doi:10.1007/978-3-319-21518-1_1
Spatial Locality: A hidden variable unexplored in entanglement experimentsPreprint
Suleiman, R. (2016) · viXra · doi:10.13140/rg.2.1.1839.0006
Non-maximal polarization-entangled photons with spectrally-varying non-maximality
Liu, M. T., & Lim, H. C. (2015) · Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR) · doi:10.1109/cleopr.2015.7376442
Comments on New Ontology of Quantum Mechanics called CSMPreprint
Kupczyński, M. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1602.03495
Relativity of Information Explains Quantum Criticality and Matter-Wave DualityPreprint
Suleiman, R. (2016) · viXra
Christensen, B., McCusker, K., Altepeter, J. B., Calkins, B., Gerrits, T., Lita, A. E., Miller, A., Shalm, L. K., Nam, S. W., Brunner, N., et al. (2013) · The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting · doi:10.1364/qim.2013.th3.1
Self-citationBell's Inequality: Excluding Local Realism from a Physical Theory of Nature
Berg, J. H., & Brange, F. (2013)
Bolduc, E. (2013) · uO Research (University of Ottawa) · doi:10.20381/ruor-3336
Towards Loophole-Free Optical Bell Test of CHSH Inequality
Tan, Y.-G., & Li, H.-W. (2016) · International Journal of Theoretical Physics · doi:10.1007/s10773-016-3017-8
Localização de estados quânticos vibracionais em armadilhas iônicas
de Araujo, H. S. (2016) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/d.76.2016.tde-04052016-155909
Wagner, R., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0048
Stevens, M. (2013) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780199601776.003.0005
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0030
Wagner, R. C., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0016
The influence of pair selection
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.018
Wagner, R. C., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0001
Wagner, R., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0047
Wagner, R., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0044
Wagner, R. C., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0038
Manipulating and preparing additional variables
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.021
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0015
Wagner, R. C., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0004
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0031
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0045
Maximal probability for a state
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.017
Wagner, R. C., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0046
Wagner, R. C., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0032
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0041
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0042
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0043
Wagner, R. C., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0039
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0017 · Cited by 1
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0037
Wagner, R. C., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0028
Wagner, R. C., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0049
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0008
Present situation, remaining conceptual difficulties
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.004
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0006
Wagner, R., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0011
The theorem of Einstein, Podolsky, and Rosen
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.005
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0014
Wagner, R., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0009
Models for spontaneous reduction of the state vector
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.023
Wagner, R., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0034
Wagner, R. C., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0010
Mental content of the state vector
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.014
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0027
Wagner, R. C., & Briggs, A. H. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0040
Consistent families of histories
Laloë, F. (2012) · Cambridge University Press eBooks · doi:10.1017/cbo9781139177160.024
Wagner, R. C., & Briggs, A. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0012
Wagner, R., & Briggs, A. D. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198747956.003.0024
Nonlinear periodic structures: from classical to quantum devices
Sarrafi, P. (2014) · TSpace (University of Toronto)
Impact of imperfections on correlation-based quantum information protocols
Passaro, E. (2016) · UPCommons institutional repository (Universitat Politècnica de Catalunya) · doi:10.5821/dissertation-2117-96359
Metadata
- Authors
- Giustina, M., Mech, A., Ramelow, S., Wittmann, B., Kofler, J., Beyer, J., Lita, A., Calkins, B., Gerrits, T., Nam, S. W., Ursin, R., & Zeilinger, A.
- Affiliations
- Austrian Academy of Sciences (AT)
- University of Vienna (AT)
- Physikalisch-Technische Bundesanstalt (DE)
- National Institute of Standards and Technology (US)
- Corresponding author
- Giustina, Marissa
- Zeilinger, Anton
- ORCID
- Venue
- Nature
- Published
- 2013-04-14
- Volume
- 497
- Issue
- 7448
- Pages
- 227-230
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2009502003
- Cited by
- 660
- References
- 30
- Citations by year
- 2026: 15 · 2025: 21 · 2024: 20 · 2023: 52 · 2022: 31 · 2021: 44 · 2020: 42 · 2019: 59 · 2018: 26 · 2017: 35 · 2016: 109 · 2015: 79 · 2014: 73 · 2013: 35
- FWCI
- 50.80
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Nature Cell Biology
- Funders
- John Templeton Foundation
- Austrian Science Fund
- National Institute of Standards and Technology
- FP7 Ideas: European Research Council (227844)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Semiconductor Quantum Structures and Devices
- Keywords
- Bell inequality violation, entangled photons, local realism, transition edge sensors, photon pair sources, collection efficiency, quantum foundations
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review