- Open Access
Generating quantum nonlocal entanglement with mechanical rotations
Phys. Rev. Research 7, 033197 – Published 27 August, 2025
DOI: https://doi.org/10.1103/84vr-nnvs
Abstract
Recent experiments have searched for evidence of the impact of noninertial motion on the entanglement of particles. The success of these endeavors has been hindered by the fact that such tests were performed within spatial scales that were only “local” when compared to the spatial scales over which the noninertial motion was taking place. We propose a Sagnac-like interferometer that, by challenging such bottlenecks, is able to achieve entangled states through a mechanism induced by the mechanical rotation of a photonic interferometer. The resulting states violate the Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH) inequality all the way up to the Tsirelson bound, thus signaling strong quantum nonlocality. Furthermore, we show that the Bell-CHSH inequality remains violated even without using any form of postselection up to the value . Our results demonstrate that mechanical rotation can be thought of as resource for controlling quantum nonlocality with implications also for recent proposals for experiments that can probe the quantum nature of curved spacetimes and noninertial motion.
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References (50)
- J. S. Bell, On the Einstein Podolsky Rosen paradox, Phys. Phys. Fiz. 1, 195 (1964).
- A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935).
- S. J. Freedman and J. F. Clauser, Experimental test of local hidden-variable theories, Phys. Rev. Lett. 28, 938 (1972).
- A. Aspect, P. Grangier, and G. Roger, Experimental tests of realistic local theories via Bell’s theorem, Phys. Rev. Lett. 47, 460 (1981).
- A. Aspect, J. Dalibard, and G. Roger, Experimental test of Bell’s inequalities using time-varying analyzers, Phys. Rev. Lett. 49, 1804 (1982).
- G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, Violation of Bell’s inequality under strict Einstein locality conditions, Phys. Rev. Lett. 81, 5039 (1998).
- J.-W. Pan, D. Bouwmeester, M. Daniell, H. Weinfurter, and A. Zeilinger, Experimental test of quantum nonlocality in three-photon Greenberger–Horne–Zeilinger entanglement, Nature (London) 403, 515 (2000).
- M. A. Rowe, D. Kielpinski, V. Meyer, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, Experimental violation of a Bell’s inequality with efficient detection, Nature (London) 409, 791 (2001).
- J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, and M. Żukowski, Multiphoton entanglement and interferometry, Rev. Mod. Phys. 84, 777 (2012).
- M. Genovese, Research on hidden variable theories: A review of recent progresses, Phys. Rep. 413, 319 (2005).
- N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, and S. Wehner, Bell nonlocality, Rev. Mod. Phys. 86, 419 (2014).
- G. M. M. Sagnac, Sur la preuve de la réalité de l’éther lumineux par l’expérience de l’interférographe tournant, C.R. Acad. Sci. 157, 1410 (1913).
- G. Sagnac, L’éther lumineux démontré, C. R. Hebd. Seances Acad. Sci. 157, 708 (1913).
- E. J. Post, Sagnac effect, Rev. Mod. Phys. 39, 475 (1967).
- R. Anderson, H. R. Bilger, and G. E. Stedman, Sagnac effect: A century of Earth-rotated interferometers, Am. J. Phys. 62, 975 (1994).
- G. B. Malykin, The Sagnac effect: Correct and incorrect explanations, Phys. Usp. 43, 1229 (2000).
- B. Barrett, R. Geiger, I. Dutta, M. Meunier, B. Canuel, A. Gauguet, P. Bouyer, and A. Landragin, The Sagnac effect: 20 years of development in matter-wave interferometry, C. R. Phys. 15, 875 (2014).
- W. M. Macek and D. T. M. Davis, Rotation rate sensing with traveling-wave ring lasers, Appl. Phys. Lett. 2, 67 (1963).
- V. Vali and R. W. Shorthill, Fiber ring interferometer, Appl. Opt. 15, 1099 (1976).
- H. C. Lefèvre, The fiber-optic gyroscope, a century after Sagnac’s experiment: The ultimate rotation-sensing technology? C. R. Phys. 15, 851 (2014).
- A. D. V. Di Virgilio, F. Bajardi, A. Basti, N. Beverini, G. Carelli, D. Ciampini, G. Di Somma, F. Fuso, E. Maccioni, P. Marsili, A. Ortolan, A. Porzio, and D. Vitali, Noise level of a ring laser gyroscope in the femto-rad/s range, Phys. Rev. Lett. 133, 013601 (2024).
- G. Bertocchi, O. Alibart, D. B. Ostrowsky, S. Tanzilli, and P. Baldi, Single-photon Sagnac interferometer, J. Phys. B: At. Mol. Opt. Phys. 39, 1011 (2006).
- M. Fink, A. Rodriguez-Aramendia, J. Handsteiner, A. Ziarkash, F. Steinlechner, T. Scheidl, I. Fuentes, J. Pienaar, T. C. Ralph, and R. Ursin, Experimental test of photonic entanglement in accelerated reference frames, Nat. Commun. 8, 15304 (2017).
- S. Restuccia, M. Toroš, G. M. Gibson, H. Ulbricht, D. Faccio, and M. J. Padgett, Photon bunching in a rotating reference frame, Phys. Rev. Lett. 123, 110401 (2019).
- M. Fink, F. Steinlechner, J. Handsteiner, J. P. Dowling, T. Scheidl, and R. Ursin, Entanglement-enhanced optical gyroscope, New J. Phys. 21, 053010 (2019).
- R. Silvestri, H. Yu, T. Strömberg, C. Hilweg, R. W. Peterson, and P. Walther, Experimental observation of Earth’s rotation with quantum entanglement, Sci. Adv. 10, eado0215 (2024).
- M. Toroš, S. Restuccia, G. M. Gibson, M. Cromb, H. Ulbricht, M. Padgett, and D. Faccio, Revealing and concealing entanglement with noninertial motion, Phys. Rev. A 101, 043837 (2020).
- M. Cromb, S. Restuccia, G. M. Gibson, M. Toroš, M. J. Padgett, and D. Faccio, Mechanical rotation modifies the manifestation of photon entanglement, Phys. Rev. Res. 5, L022005 (2023).
- J. A. Bittermann, M. Fink, M. Huber, and R. Ursin, Non-inertial motion dependent entangled Bell-state, arXiv:2401.05186.
- M. Toroš, M. Cromb, M. Paternostro, and D. Faccio, Generation of entanglement from mechanical rotation, Phys. Rev. Lett. 129, 260401 (2022).
- S. Kochen and E. Specker, The problem of hidden variables in quantum mechanics, Indiana Univ. Math. J. 17, 59 (1967).
- S. J. van Enk, Single-particle entanglement, Phys. Rev. A 72, 064306 (2005).
- S. Adhikari, A. S. Majumdar, D. Home, and A. K. Pan, Swapping path-spin intraparticle entanglement onto spin-spin interparticle entanglement, Europhys. Lett. 89, 10005 (2010).
- A. Kumari, A. Ghosh, M. L. Bera, and A. K. Pan, Swapping intraphoton entanglement to interphoton entanglement using linear optical devices, Phys. Rev. A 99, 032118 (2019).
- S. Bose, A. Mazumdar, G. W. Morley, H. Ulbricht, M. Toroš, M. Paternostro, A. A. Geraci, P. F. Barker, M. S. Kim, and G. Milburn, Spin entanglement witness for quantum gravity, Phys. Rev. Lett. 119, 240401 (2017).
- C. Marletto and V. Vedral, Gravitationally induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity, Phys. Rev. Lett. 119, 240402 (2017).
- E. Polino, B. Polacchi, D. Poderini, I. Agresti, G. Carvacho, F. Sciarrino, A. Di Biagio, C. Rovelli, and M. Christodoulou, Photonic implementation of quantum gravity simulator, Adv. Photonics Nexus 3, 036011 (2024).
- T. Krisnanda, M. Zuppardo, M. Paternostro, and T. Paterek, Revealing nonclassicality of inaccessible objects, Phys. Rev. Lett. 119, 120402 (2017).
- T. Krisnanda, C. Marletto, V. Vedral, M. Paternostro, and T. Paterek, Probing quantum features of photosynthetic organisms, npj Quantum Inf. 4, 60 (2018).
- 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).
- B. S. Cirel’son, Quantum generalizations of Bell’s inequality, Lett. Math. Phys. 4, 93 (1980).
- S. Popescu, L. Hardy, and M. Żukowski, Revisiting Bell’s theorem for a class of down-conversion experiments, Phys. Rev. A 56, R4353(R) (1997).
- J. I. Korsbakken and J. M. Leinaas, Fulling-Unruh effect in general stationary accelerated frames, Phys. Rev. D 70, 084016 (2004).
- M. Zych, F. Costa, I. Pikovski, T. C. Ralph, and Č. Brukner, General relativistic effects in quantum interference of photons, Class. Quantum Grav. 29, 224010 (2012).
- A. J. Brady and S. Haldar, Frame dragging and the Hong-Ou-Mandel dip: Gravitational effects in multiphoton interference, Phys. Rev. Res. 3, 023024 (2021).
- S. P. Kish and T. C. Ralph, Quantum effects in rotating reference frames, AVS Quantum Sci. 4, 011401 (2022).
- R. Barzel, D. E. Bruschi, A. W. Schell, and C. Lämmerzahl, Observer dependence of photon bunching: The influence of the relativistic redshift on Hong-Ou-Mandel interference, Phys. Rev. D 105, 105016 (2022).
- Y. Aharonov and T. Kaufherr, Quantum frames of reference, Phys. Rev. D 30, 368 (1984).
- F. Giacomini, E. Castro-Ruiz, and Č. Brukner, Relativistic quantum reference frames: The operational meaning of spin, Phys. Rev. Lett. 123, 090404 (2019).
- N. Brunner, N. Gisin, V. Scarani, and C. Simon, Detection loophole in asymmetric Bell experiments, Phys. Rev. Lett. 98, 220403 (2007).