Experimental Test of Local Hidden-Variable Theories
Open accessAbstract
We have measured the linear polarization correlation of the photons emitted in an atomic cascade of calcium. It has been shown by a generalization of Bell's inequality that the existence of local hidden variables imposes restrictions on this correlation in conflict with the predictions of quantum mechanics. Our data, in agreement with quantum mechanics, violate these restrictions to high statistical accuracy, thus providing strong evidence against local hidden-variable theories.
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
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?
Freedman's inequality requires only 3 coincidence measurements and is simpler mathematically and experimentally than the standard CHSH Bell test.
“Beyond the standard CHSH Bell test which requires 16 measurements, the so-called Freedman's inequality [79], [80] requires only 3 coincidence measurements with very simpler mathematical calculations and experiment, more understandable from the philosophical aspects and simpler physical interpretation, notably for undergraduate students in quantum optics Laboratories.”
From Nonlocal realism tests and quantum state tomography in Sagnac-based type-II polarization-entanglement SPDC-source (2021) · cites this paper as [80]
In the section labeled “theories with high statistical accuracy” (page unavailable), inequality (3) uses coincidence rates at 22.5° and 67.5° normalized to a reference rate with both polarizers removed, supporting the three-rate description. The paper does not compare its measurement count, mathematical difficulty, or experimental simplicity with a 16-measurement CHSH test. (LLM, conf=0.82)
Experimental — accuracy not yet measuredInitial experiments using photon pairs produced in an atomic cascade to test Bell's inequalities falsified Bell's inequalities and thus challenged the local realistic world-view.
“The initial experiments using photon pairs produced in an atomic cascade to test Bell's inequalities (Freedman and Clauser, 1972;Aspect et al., 1982aAspect et al., , 1982b, see also Clauser and Shimony 1978 for more experiments) falsified Bell's inequalities, and thus challenged the local realistic world-view.”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Freedman and Clauser, 1972
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cited by
Sorted by citations
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515 · see citing works
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · see citing works
Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres
Hensen, B., Bernien, H., Dréau, A. E., Reiserer, A., Kalb, N., Blok, M. S., Ruitenberg, J., Vermeulen, R. F. L., Schouten, R. N., Abellán, C., et al. (2015) · Nature · doi:10.1038/nature15759 · Cited by 2,852 · see citing works
O'Brien, J. L., Furusawa, A., & Vučković, J. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.229 · Cited by 2,388 · see citing works
Integrated photonic quantum technologies
Wang, J., Sciarrino, F., Laing, A., & Thompson, M. G. (2020) · Nature Photonics · doi:10.1038/s41566-019-0532-1 · Cited by 1,576 · see citing works
Multiphoton entanglement and interferometry
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., & Żukowski, M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.777 · Cited by 1,410 · see citing works
“Bohm’s version of the EPR thought experiment (Bohm, 1951) used the singlet state of two spin- 1 2 particles, which is nowadays an icon and a yardstick of entanglement. ization entangled photons, was due to Freedman and Clauser (1972).”
BackgroundMethodUltrabright source of polarization-entangled photons
Kwiat, P. G., Waks, E., White, A. G., Appelbaum, I., & Eberhard, P. H. (1999) · Physical Review A · doi:10.1103/physreva.60.r773 · Cited by 1,142 · see citing works
Observation of Three-Photon Greenberger-Horne-Zeilinger Entanglement
Bouwmeester, D., Pan, J.-W., Daniell, M., Weinfurter, H., & Zeilinger, A. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1345 · Cited by 1,061 · see citing works
Violation of Bell's Inequality and Classical Probability in a Two-Photon Correlation Experiment
Ou, Z. Y., & Mandel, L. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.50 · Cited by 879 · see citing works
Bell violation using entangled photons without the fair-sampling assumption
Giustina, M., Mech, A., Ramelow, S., Wittmann, B., Kofler, J., Beyer, J., Lita, A., Calkins, B., Gerrits, T., Nam, S. W., et al. (2013) · Nature · doi:10.1038/nature12012 · Cited by 660 · see citing works
Experimental violation of Bell’s inequality based on phase and momentum
Rarity, J. G., & Tapster, P. R. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.2495 · Cited by 612 · see citing works
Detection-Loophole-Free Test of Quantum Nonlocality, and Applications
Christensen, B. G., McCusker, K. T., Altepeter, J. B., Calkins, B., Gerrits, T., Lita, A. E., Miller, A., Shalm, L. K., Zhang, Y., Nam, S. W., et al. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.130406 · Cited by 477 · see citing works
An experimental test of non-local realism
Gröblacher, S., Paterek, T., Kaltenbaek, R., Brukner, Č., Żukowski, M., Aspelmeyer, M., & Zeilinger, A. (2007) · Nature · doi:10.1038/nature05677 · Cited by 419 · see citing works
The “Past” and the “Delayed-Choice” Double-Slit Experiment
Wheeler, J. A. (1978) · Mathematical Foundations of Quantum Theory · doi:10.1016/b978-0-12-473250-6.50006-6 · Cited by 416 · see citing works
Bell Inequality Violation with Two Remote Atomic Qubits
Matsukevich, D. N., Maunz, P., Moehring, D. L., Olmschenk, S., & Monroe, C. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.150404 · Cited by 392 · see citing works
Does psi exist? Replicable evidence for an anomalous process of information transfer.
Bem, D. J., & Honorton, C. (1994) · Psychological Bulletin · doi:10.1037/0033-2909.115.1.4 · Cited by 330 · see citing works
Kiess, T. E., Shih, Y. H., Sergienko, A. V., & Alley, C. O. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.3893 · Cited by 263 · see citing works
Experimental Test of Bell's Inequality for Energy and Time
Brendel, J., Mohler, E., & Martienssen, W. (1992) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/20/7/001 · Cited by 238 · see citing works
Harnessing the Power of the Second Quantum Revolution
Deutsch, I. H. (2020) · PRX Quantum · doi:10.1103/prxquantum.1.020101 · Cited by 207 · see citing works
Computational advantage of quantum random sampling
Hangleiter, D., & Eisert, J. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.035001 · Cited by 145 · see citing works
Postselection-free energy-time entanglement
Strekalov, D. V., Pittman, T. B., Sergienko, A. V., Shih, Y. H., & Kwiat, P. G. (1996) · Physical Review A · doi:10.1103/physreva.54.r1 · Cited by 119 · see citing works
Testing Bell’s Inequality with Cosmic Photons: Closing the Setting-Independence Loophole
Gallicchio, J., Friedman, A. S., & Kaiser, D. I. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.110405 · Cited by 99 · see citing works
Quantum nonlocality does not exist
Tipler, F. J. (2014) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1324238111 · Cited by 78 · see citing works
II Quantum Phenomena in Optical Interferometry
Hariharan, P., & Sanders, B. C. (1996) · Progress in Optics · doi:10.1016/s0079-6638(08)70313-5 · Cited by 36 · see citing works
Motazedifard, A., Madani, S. A., Dashkasan, J. J., & Vayaghan, N. S. (2021) · Heliyon · doi:10.1016/j.heliyon.2021.e07384 · Cited by 16 · see citing works
Quantum entanglement and classical correlation have the same form
Annila, A., & Wikström, M. (2024) · The European Physical Journal Plus · doi:10.1140/epjp/s13360-024-05377-8 · Cited by 9 · see citing works
- Authors
- Freedman, S. J., & Clauser, J. F.
- Affiliations
- Lawrence Berkeley National Laboratory (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1972-04-03
- Volume
- 28
- Issue
- 14
- Pages
- 938-941
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2052457796
- Cited by
- 1,999
- References
- 0
- Citations by year
- 2026: 69 · 2025: 108 · 2024: 131 · 2023: 199 · 2022: 92 · 2021: 61 · 2020: 66 · 2019: 97 · 2018: 47 · 2017: 58 · 2016: 87 · 2015: 73 · 2014: 60 · 2013: 67 · 2012: 59
- FWCI
- 8.52
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- eScholarship (California Digital Library) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- local hidden variable theories, Bell inequalities, polarization correlation, photon correlations, quantum mechanics
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