1Department of Physics, Stockholm University, S-10691 Stockholm, Sweden
2Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, D-57068 Siegen, Germany
3Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
4Instituto Carlos I de Física Teórica y Computacional, Universidad de Sevilla, E-41012 Sevilla, Spain
Find this paper interesting or want to discuss? Scite or leave a comment on SciRate.
Abstract
Bell tests have become a powerful tool for quantifying security, randomness, entanglement, and many other properties, as well as for investigating fundamental physical limits. In all these cases, the specific experimental value of the Bell parameter is important as it leads to a quantitative conclusion. However, experimental implementations can also produce experimental data with (apparent) signaling. This signaling can be attributed to systematic errors occurring due to weaknesses in the experimental designs. Here we point out the importance, for quantitative applications, to identify and address this problem. We present a set of experiments with polarization-entangled photons in which we identify common sources of systematic errors and demonstrate approaches to avoid them. In addition, we establish the highest experimental value for the Bell-CHSH parameter obtained after applying strategies to minimize signaling that we are aware of: $S = 2.812 pm 0.003$ and negligible systematic errors. The experiments did not randomize the settings and did not close the locality loophole.

Featured image: Experimental setup for a Bell test with polarization-entangled photons.
Popular summary
► BibTeX data
► References
[1] J.S. Bell, On the Einstein Podolsky Rosen paradox, Physics (Long Island City, NY) 1, 195 (1964).
https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195
[2] A. Acín, N. Brunner, N. Gisin, S. Massar, S. Pironio, and V. Scarani, Device-Independent Security of Quantum Cryptography against Collective Attacks, Phys. Rev. Lett. 98, 230501 (2007).
https://doi.org/10.1103/PhysRevLett.98.230501
[3] R. Arnon-Friedman, R. Renner, and T. Vidick, Simple and tight device-independent security proofs, SIAM J. Comput. 48, 181 (2019).
https://doi.org/10.1137/18M1174726
[4] D. P. Nadlinger, P. Drmota, B. C. Nichol, G. Araneda, D. Main, R. Srinivas, D. M. Lucas, C. J. Ballance, K. Ivanov, E. Y.-Z. Tan, P. Sekatski, R. L. Urbanke, R. Renner, N. Sangouard, and J.-D. Bancal, Experimental quantum key distribution certified by Bell’s theorem, Nature 607, 682 (2022).
https://doi.org/10.1038/s41586-022-04941-5
[5] W. Zhang, T. van Leent, K. Redeker, R. Garthoff, R. Schwonnek, F. Fertig, S. Eppelt, W. Rosenfeld, V. Scarani, C. C.-W. Lim, and H. Weinfurter, A device-independent quantum key distribution system for distant users, Nature 607, 687 (2022).
https://doi.org/10.1038/s41586-022-04891-y
[6] O. Gühne and G. Tóth, Entanglement detection, Phys. Rep. 474, 1 (2009).
https://doi.org/10.1016/j.physrep.2009.02.004
[7] T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne, Device-independent entanglement quantification and related applications, Phys. Rev. Lett. 111, 030501 (2013).
https://doi.org/10.1103/PhysRevLett.111.030501
[8] Č. Brukner, M. Żukowski, J.-W. Pan, and A. Zeilinger, Bell’s inequalities and quantum communication complexity, Phys. Rev. Lett. 92, 127901 (2004).
https://doi.org/10.1103/PhysRevLett.92.127901
[9] H. Buhrman, R. Cleve, S. Massar, and R. de Wolf, Nonlocality and communication complexity, Rev. Mod. Phys. 82, 665 (2010).
https://doi.org/10.1103/RevModPhys.82.665
[10] T. Heinosaari, J. Kiukas, and D. Reitzner, Noise robustness of the incompatibility of quantum measurements, Phys. Rev. A 92, 022115 (2015).
https://doi.org/10.1103/PhysRevA.92.022115
[11] S.-L. Chen, C. Budroni, Y.-C. Liang, and Y.-N. Chen, Natural framework for device-independent quantification of quantum steerability, measurement incompatibility, and self-testing, Phys. Rev. Lett. 116, 240401 (2016).
https://doi.org/10.1103/PhysRevLett.116.240401
[12] D. Cavalcanti and P. Skrzypczyk, Quantitative relations between measurement incompatibility, quantum steering, and nonlocality, Phys. Rev. A 93, 052112 (2016).
https://doi.org/10.1103/PhysRevA.93.052112
[13] N. Brunner, S. Pironio, A. Acín, N. Gisin, A.A. Méthot, and V. Scarani, Testing the dimension of Hilbert spaces, Phys. Rev. Lett. 98, 230501 (2007).
https://doi.org/10.1103/PhysRevLett.100.210503
[14] S. Popescu and D. Rohrlich, Which states violate Bell’s inequality maximally?, Phys. Lett. A 169, 441 (1992).
https://doi.org/10.1016/0375-9601(92)90819-8
[15] C. Bamps and S. Pironio, Sum-of-squares decompositions for a family of Clauser-Horne-Shimony-Holt-like inequalities and their application to self-testing, Phys. Rev. A 91, 052111 (2015).
https://doi.org/10.1103/PhysRevA.91.052111
[16] J. Kaniewski, Analytic and nearly optimal self-testing bounds for the Clauser-Horne-Shimony-Holt and Mermin inequalities, Phys. Rev. Lett. 117, 070402 (2016).
https://doi.org/10.1103/PhysRevLett.117.070402
[17] A. Acín and L. Masanes, Certified randomness in quantum physics, Nature 540, 213 (2016).
https://doi.org/10.1038/nature20119
[18] B.G. Christensen, K.T. McCusker, J.B. Altepeter, B. Calkins, T. Gerrits, A.E. Lita, A. Miller, L.K. Shalm, Y. Zhang, S.W. Nam, N. Brunner, C.C.W. Lim, N. Gisin, and P.G. Kwiat, Detection-loophole-free test of quantum nonlocality, and applications, Phys. Rev. Lett. 111, 130406 (2013). We specifically refer to the violation of the CHSH inequality reported in p. 4.
https://doi.org/10.1103/PhysRevLett.111.130406
[19] B.G. Christensen, Y.-C. Liang, N. Brunner, N. Gisin, and P.G. Kwiat, Exploring the limits of quantum nonlocality with entangled photons, Phys. Rev. X 5, 041052 (2015).
https://doi.org/10.1103/PhysRevLett.111.130406
[20] H.S. Poh, S.K. Joshi, A. Cerè, A. Cabello, and C. Kurtsiefer, Approaching Tsirelson’s bound in a photon pair experiment, Phys. Rev. Lett. 115, 180408 (2015).
https://doi.org/10.1103/PhysRevX.5.041052
[21] B.S. Cirel’son [Tsirelson], Quantum generalizations of Bell’s inequality, Lett. Math. Phys. 4, 93 (1980).
https://doi.org/10.1007/BF00417500
[22] B. Hensen, H. Bernien, A.E. Dréau, A. Reiserer, N. Kalb, M.S. Blok, J. Ruitenberg, R.F.L. Vermeulen, R.N. Schouten, C. Abellán, W. Amaya, V. Pruneri, M.W. Mitchell, M. Markham, D.J. Twitchen, D. Elkouss, S. Wehner, T.H. Taminiau, and R. Hanson, Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526, 682 (2015).
https://doi.org/10.1038/nature15759
[23] M. Giustina, M.A.M. Versteegh, S. Wengerowsky, J. Handsteiner, A. Hochrainer, K. Phelan, F. Steinlechner, J. Kofler, J.-Å. Larsson, C. Abellán, W. Amaya, V. Pruneri, M.W. Mitchell, J. Beyer, T. Gerrits, A.E. Lita, L.K. Shalm, S.W. Nam, T. Scheidl, R. Ursin, B. Wittmann, and A. Zeilinger, Significant-loophole-free test of Bell’s theorem with entangled photons, Phys. Rev. Lett. 115, 250401 (2015).
https://doi.org/10.1103/PhysRevLett.115.250401
[24] L.K. Shalm, E. Meyer-Scott, B.G. Christensen, P. Bierhorst, M.A. Wayne, M.J. Stevens, T. Gerrits, S. Glancy, D.R. Hamel, M.S. Allman, K.J. Coakley, S.D. Dyer, C. Hodge, A.E. Lita, V.B. Verma, C. Lambrocco, E. Tortorici, A.L. Migdall, Y. Zhang, D.R. Kumor, W.H. Farr, F. Marsili, M.D. Shaw, J.A. Stern, C. Abellán, W. Amaya, V. Pruneri, T. Jennewein, M.W. Mitchell, P.G. Kwiat, J.C. Bienfang, R.P. Mirin, E. Knill, and S.W. Nam, Strong loophole-free test of local realism, Phys. Rev. Lett. 115, 250402 (2015).
https://doi.org/10.1103/PhysRevLett.115.250402
[25] W. Rosenfeld, D. Burchardt, R. Garthoff, K. Redeker, N. Ortegel, M. Rau, and H. Weinfurter, Event-ready Bell test using entangled atoms simultaneously closing detection and locality loopholes, Phys. Rev. Lett. 119, 010402 (2017).
https://doi.org/10.1103/PhysRevLett.119.010402
[26] J.F. Clauser, M.A. Horne, A. Shimony, and R.A. Holt, Proposed experiment to test local hidden-variable theories, Phys. Rev. Lett. 23, 880 (1969).
https://doi.org/10.1103/PhysRevLett.23.880
[27] T. Moroder, M. Kleinmann, P. Schindler, T. Monz, O. Gühne, and R. Blatt, Certifying systematic errors in quantum experiments, Phys. Rev. Lett. 110, 180401 (2013).
https://doi.org/10.1103/PhysRevLett.110.180401
[28] Y.-C. Liang and Y. Zhang, Bounding the plausibility of physical theories in a device-independent setting via hypothesis testing, Entropy 21, 185 (2019).
https://doi.org/10.3390/e21020185
[29] S.S. Wilks, Mathematical Statistics (John Wiley & Sons, New York, 1962).
Cited by
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.
- SEO Powered Content & PR Distribution. Get Amplified Today.
- PlatoData.Network Vertical Generative Ai. Empower Yourself. Access Here.
- PlatoAiStream. Web3 Intelligence. Knowledge Amplified. Access Here.
- PlatoESG. Carbon, CleanTech, Energy, Environment, Solar, Waste Management. Access Here.
- PlatoHealth. Biotech and Clinical Trials Intelligence. Access Here.
- Source: https://quantum-journal.org/papers/q-2025-06-04-1760/
Slingo Da Vinci Diamonds Playing Areas | Cryptoverze