Testing Bell’s Inequality with Cosmic Photons: Closing the Setting-Independence Loophole
Open accessAbstract
We propose a practical scheme to use photons from causally disconnected cosmic sources to set the detectors in an experimental test of Bell's inequality. In current experiments, with settings determined by quantum random number generators, only a small amount of correlation between detector settings and local hidden variables, established less than a millisecond before each experiment, would suffice to mimic the predictions of quantum mechanics. By setting the detectors using pairs of quasars or patches of the cosmic microwave background, observed violations of Bell's inequality would require any such coordination to have existed for billions of years-an improvement of 20 orders of magnitude.
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?
Other random resources, such as independent comic photons, have been proposed for loophole-free Bell's inequality tests.
“Other random resources have also been proposed for loophole-free Bell ' s inequality tests, such as independent comic photons. 92”
From Quantum random number generation (2016) · cites this paper as [92]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252 · see citing works
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983 · see citing works
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 · see citing works
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 · see citing works
The Sloan Digital Sky Survey Photometric System
Fukugita, M., Ichikawa, T., Gunn, J. E., Doi, M., Shimasaku, K., & Schneider, D. P. (1996) · The Astronomical Journal · doi:10.1086/117915 · Cited by 3,033 · see citing works
Speakable and Unspeakable in Quatum Mechanics
Bell, J. S., & Mermin, N. D. (1988) · Physics Today · doi:10.1063/1.2811599 · Cited by 2,985 · see citing works
Bell’s theorem without inequalities
Greenberger, D. M., Horne, M. A., Shimony, A., & Zeilinger, A. (1990) · American Journal of Physics · doi:10.1119/1.16243 · Cited by 2,404 · see citing works
Speakable and unspeakable in quantum mechanics
Whitaker, M. A. B. (1988) · Endeavour · doi:10.1016/0160-9327(88)90092-0 · Cited by 2,106 · see citing works
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 · see citing works
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 · see citing works
A luminous quasar at a redshift of z = 7.085
Mortlock, D. J., Warren, S. J., Venemans, B. P., Patel, M., Hewett, P. C., McMahon, R. G., Simpson, C., Theuns, T., Gonzales-Solares, E., Adamson, A., et al. (2011) · Nature · doi:10.1038/nature10159 · Cited by 1,496 · 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
Simple unified form for the major no-hidden-variables theorems
Mermin, N. D. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.3373 · Cited by 753 · see citing works
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 · 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
Eberhard, P. H. (1993) · Physical Review A · doi:10.1103/physreva.47.r747 · Cited by 582 · see citing works
A model of diffuse Galactic radio emission from 10 MHz to 100 GHz
Angélica De Oliveira-costa, A., Tegmark, M., Gaensler, B. M., Jonas, J. L., Landecker, T. L., & Reich, P. (2008) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2008.13376.x · Cited by 497 · see citing works
A PHOTOMETRIC REDSHIFT OFz∼ 9.4 FOR GRB 090429B
Cucchiara, A., Levan, A. J., Fox, D. B., Tanvir, N. R., Ukwatta, T. N., Berger, E., Kruehler, T., Yoldaş, A., Wu, X.-F., Toma, K., et al. (2011) · The Astrophysical Journal · doi:10.1088/0004-637x/736/1/7 · Cited by 486 · 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
Quantum Non‐Locality and Relativity
(2002) · Wiley eBooks · doi:10.1002/9780470752166 · Cited by 423 · see citing works
Quantum Non‐Locality and Relativity
Maudlin, T. (2011) · Wiley eBooks · doi:10.1002/9781444396973 · Cited by 418 · see citing works
Conway, J., & Kochen, S. (2006) · Foundations of Physics · doi:10.1007/s10701-006-9068-6 · Cited by 373 · see citing works
Kann, D. A., Klose, S., Zhang, B., Malesani, D., Nakar, E., Pozanenko, A., Wilson, A. C., Butler, N. R., Jakobsson, P., Schulze, S., et al. (2010) · The Astrophysical Journal · doi:10.1088/0004-637x/720/2/1513 · Cited by 363 · see citing works
Communication Cost of Simulating Bell Correlations
Toner, B., & Bacon, D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.187904 · Cited by 333 · see citing works
Violation of local realism with freedom of choice
Scheidl, T., Ursin, R., Kofler, J., Ramelow, S., Ma, X., Herbst, T., Ratschbacher, L., Fedrizzi, A., Langford, N. K., Jennewein, T. D., et al. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1002780107 · Cited by 326 · see citing works
The Sloan Digital Sky Survey quasar catalog: ninth data release
Pâris, I., Petitjean, P., Aubourg, É., Bailey, S., Ross, N. P., Myers, A. D., Strauss, M. A., Anderson, S. F., Arnau, E., Bautista, J., et al. (2012) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201220142 · Cited by 272 · see citing works
Planets, Stars and Stellar Systems
Oswalt, T. D., Kalas, P., & French, L. M. (2013) · Springer eBooks · doi:10.1007/978-94-007-5606-9 · Cited by 249 · see citing works
Beyond Bell's theorem: correlation scenarios
Fritz, T. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/10/103001 · Cited by 243 · see citing works
Local Deterministic Model of Singlet State Correlations Based on Relaxing Measurement Independence
Hall, M. J. W. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.250404 · Cited by 239 · see citing works
Conclusive quantum steering with superconducting transition-edge sensors
Smith, D. H., Gillett, G., de Almeida, M. P., Branciard, C., Fedrizzi, A., Weinhold, T. J., Lita, A. E., Calkins, B., Gerrits, T., Wiseman, H. M., et al. (2012) · Nature Communications · doi:10.1038/ncomms1628 · Cited by 233 · see citing works
Detector inefficiencies in the Einstein-Podolsky-Rosen experiment
Garg, A., & Mermin, N. D. (1987) · Physical Review D · doi:10.1103/physrevd.35.3831 · Cited by 230 · see citing works
Wahl, M., Leifgen, M., Berlin, M., Röhlicke, T., Rahn, H.-J., & Benson, O. J. (2011) · Applied Physics Letters · doi:10.1063/1.3578456 · Cited by 197 · see citing works
Planckearly results. IV. First assessment of the High Frequency Instrument in-flight performance
Planck HFI Core Team, Ade, P. A. R., Aghanim, N., Ansari, R., Arnaud, M., Ashdown, M., Aumont, J., Banday, A. J., Bartelmann, M., Bartlett, J. G., et al. (2011) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201116487 · Cited by 188 · see citing works
How Much Measurement Independence Is Needed to Demonstrate Nonlocality?
Barrett, J., & Gisin, N. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.100406 · Cited by 174 · see citing works
Relaxed Bell inequalities and Kochen-Specker theorems
Hall, M. J. W. (2011) · Physical Review A · doi:10.1103/physreva.84.022102 · Cited by 169 · see citing works
Inflationary Cosmology: Exploring the Universe from the Smallest to the Largest Scales
Guth, A. H., & Kaiser, D. I. (2005) · Science · doi:10.1126/science.1107483 · Cited by 165 · see citing works
Self-citationBell's theorem does not eliminate fully causal hidden variables
Brans, C. H. (1988) · International Journal of Theoretical Physics · doi:10.1007/bf00670750 · Cited by 161 · see citing works
Photon arrival time quantum random number generation
Wayne, M. A., Jeffrey, E. R., Akselrod, G. M., & Kwiat, P. G. (2009) · Journal of Modern Optics · doi:10.1080/09500340802553244 · Cited by 135 · see citing works
Quantum non-locality and relativity: metaphysical intimations of modern physics
(1995) · Choice Reviews Online · doi:10.5860/choice.32-4557 · Cited by 116 · see citing works
Dance of the photons: from Einstein to quantum teleportation
(2011) · Choice Reviews Online · doi:10.5860/choice.48-4544 · Cited by 111 · see citing works
Search for Nanosecond Optical Pulses from Nearby Solar‐Type Stars
Howard, A. W., Horowitz, P., Wilkinson, D. T., et al. (2004) · The Astrophysical Journal · doi:10.1086/423300 · Cited by 107 · see citing works
Quantum optics experiments using the International Space Station: a proposal
Scheidl, T., Wille, E., & Ursin, R. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/4/043008 · Cited by 67 · see citing works
Inflationary Cosmology: Exploring the Universe from the Smallest to the Largest Scales
Taylor, J. H., Hulse, R. A., Fowler, L. A., et al. (2005) · Cited by 59 · see citing works
Type IIn supernovae at redshift z ≈ 2 from archival data
Cooke, J., Sullivan, M., Barton, E. J., et al. (2009) · Nature · doi:10.1038/nature08082 · Cited by 40 · see citing works
Archeops in-flight performance, data processing, and map making
Macias-Perez, J. F., Lagache, G., Maffei, B., et al. (2007) · Astronomy and Astrophysics · doi:10.1051/0004-6361:20065258 · Cited by 30 · see citing works
Leonardi, R., Williams, B., Bersanelli, M., et al. (2006) · New Astronomy Reviews · doi:10.1016/j.newar.2006.09.004 · Cited by 9 · see citing works
The shared causal pasts and futures of cosmological events
Friedman, A. S., Kaiser, D. I., & Gallicchio, J. R. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.88.044038 · Cited by 6 · see citing works
Self-citationLeonardi, R., Williams, B., Bersanelli, M., et al. (n.d.) · Biblioteca Digital da Memória Científica do INPE (National Institute for Space Research) · Cited by 6 · see citing works
Flagged first, then by citations
Research works printed but not linked: 26
- [5]G. Weihs, T. Jennewein, C. Simon, et al., Phys. Rev. Lett. 81 , 5039 (1998), arXiv:quant-ph/9810080. · arXiv
- [6]B. F. Toner and D. Bacon, Phys. Rev. Lett. 91 , 187904 (2003), arXiv:quant-ph/0304076. · arXiv
- [10]M. Giustina, A. Mech, S. Ramelow, et al., Nature 497 , 227 (2013), arXiv:1212.0533 [quant-ph]. · arXiv
- [11]B. G. Christensen, K. T. McCusker, J. Altepeter, et al., Phys. Rev. Lett. 111 , 130406 (2013), arXiv:1306.5772 [quant-ph]. · arXiv
- [13]J. Conway and S. Kochen, Found. Phys. 36 , 1441 (2006), arXiv:quant-ph/0604079. · arXiv
- [14]G. 't Hooft, ArXiv e-prints (2007), arXiv:quantph/0701097.
- [16]M. J. W. Hall, Phys. Rev. Lett. 105 , 250404 (2010), arXiv:1007.5518 [quant-ph]. · arXiv
- [17]J. Barrett and N. Gisin, Phys. Rev. Lett. 106 , 100406 (2011), arXiv:1008.3612 [quant-ph]. · arXiv
- [19]T. Fritz, New J. Phys. 14 , 103001 (2012), arXiv:1206.5115 [quant-ph]. · arXiv
- [20]J.-W. Pan, Z.-B. Chen, C.-Y. Lu, et al., Rev. Mod. Phys. 84 , 777 (2012), arXiv:0805.2853 [quant-ph]. · arXiv
- [21]A. S. Friedman, D. I. Kaiser, and J. Gallicchio, Phys. Rev. D 88 , 044038 (2013), arXiv:1305.3943 [astroph.CO]. · arXiv
- [23]A. H. Guth and D. I. Kaiser, Science 307 , 884 (2005), arXiv:astro-ph/0502328. · arXiv
- [26]D. J. Mortlock, S. J. Warren, B. P. Venemans, et al., Nature 474 , 616 (2011), arXiv:1106.6088 [astro-ph.CO]. · arXiv
- [27]J. Cooke, M. Sullivan, E. J. Barton, et al., Nature 460 , 237 (2009), arXiv:0907.1928 [astro-ph.CO]. · arXiv
- [28]A. Cucchiara, A. J. Levan, D. B. Fox, et al., Astrophys. J. 736 , 7 (2011), arXiv:1105.4915 [astro-ph.CO]. · arXiv
- [29]D. A. Kann, S. Klose, B. Zhang, et al., Astrophys. J. 720 , 1513 (2010), arXiv:0712.2186. · arXiv
- [31]I. Pˆ aris, P. Petitjean, ´ E. Aubourg, et al., Astron. & Astro. 548 , A66 (2012), arXiv:1210.5166 [astro-ph.CO]. · arXiv
- [32]P. A. R. Ade et al. and (Planck collaboration), ArXiv e-prints (2013), arXiv:1303.5076 [astro-ph.CO]. · arXiv
- [35]D. H. Smith, G. Gillett, M. P. de Almeida, et al., Nature Comm. 3 , 625 (2012), arXiv:1111.0829 [quant-ph]. · arXiv
- [39]A. de Oliveira-Costa, M. Tegmark, B. M. Gaensler, et al., Mon. Not. R. Astron. Soc. 388 , 247 (2008), arXiv:0802.1525 [astro-ph]. · arXiv
- [40]R. Leonardi, B. Williams, M. Bersanelli, et al., New Astron. Rev. 50 , 977 (2006), arXiv:0704.0810. · arXiv
- [42]T. Scheidl, E. Wille, and R. Ursin, New J. Phys. 15 , 043008 (2013), arXiv:1211.2111 [quant-ph]. · arXiv
- [43]J. Hubmayr, F. Aubin, E. Bissonnette, et al., ArXiv eprints (2009), arXiv:0908.1997 [astro-ph.IM]. · arXiv
- [44]P. A. R. Ade et al. and (Planck HFI Core Team), Astron. & Astro. 536 , A4 (2011), arXiv:1101.2039 [astro-ph.IM]. · arXiv
- [45]J. F. Mac´ ıas-P´ erez, G. Lagache, B. Maffei, et al., Astron. & Astro. 467 , 1313 (2007), arXiv:astro-ph/0603665. · arXiv
- [46]G. 't Hooft, ArXiv e-prints (2009), arXiv:0908.3408 [quant-ph]. · arXiv
Cited by
Sorted by citations
Quantum random number generation
Ma, X., Yuan, X., Cao, Z., Qi, B., & Zhang, Z. (2016) · npj Quantum Information · doi:10.1038/npjqi.2016.21 · Cited by 445 · see citing works
Randomness requirement on the Clauser-Horne-Shimony-Holt Bell test in the multiple-run scenario
Yuan, X., Cao, Z., & Ma, X. (2015) · Physical Review A · doi:10.1103/physreva.91.032111 · Cited by 25 · see citing works
- Authors
- Gallicchio, J., Friedman, A. S., & Kaiser, D. I.
- Affiliations
- University of Chicago (US)
- Massachusetts Institute of Technology (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2014-03-18
- Volume
- 112
- Issue
- 11
- Pages
- 110405-110405
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2056597044
- Cited by
- 99
- References
- 48
- Citations by year
- 2026: 2 · 2025: 6 · 2024: 4 · 2023: 3 · 2022: 9 · 2021: 6 · 2020: 6 · 2019: 8 · 2018: 10 · 2017: 11 · 2016: 12 · 2015: 12 · 2014: 8
- FWCI
- 7.13
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE-FG02-05ER41360)
- National Science Foundation (SES-1056580, ANT-0638937)
- 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 › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Bell inequalities, quasar pairs, cosmic microwave background, quantum randomness, local hidden variable theories, quantum nonlocality
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