- Open Access
Gravity-induced entanglement is not a theory-independent witness of nonclassicality of the gravitational field
Phys. Rev. D 114, 084050 – Published 19 October, 2026
DOI: https://doi.org/10.1103/r8ry-sp35
Abstract
Gravity-induced entanglement (GIE) experiments have been proposed as a theory-independent test of the quantum nature of gravity, on the strength of several no-go theorems concluding that GIE detection implies the gravitational interaction is either nonlocal or nonclassical. This is in apparent tension with a growing number of papers claiming that theories with a classical gravitational field do predict GIE. This article resolves the tension by reviewing the assumptions of the no-go theorems and highlighting the information-theoretic, rather than spatiotemporal, nature of the locality assumption. This makes violating locality not particularly problematic. Indeed, quantum electrodynamics and perturbative quantum gravity are nonlocal in the sense of the theorems. Given that GIE detection is not sufficient to rule out a classical gravitational field, the quantitative comparison of theoretical predictions in the low-energy quantum gravity regime will allow us to test whether the gravitational field is quantum or classical.
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References (67)
- S. Bose, A. Mazumdar, G. W. Morley, H. Ulbricht, M. Toroš, M. Paternostro, A. Geraci, P. Barker, M. S. Kim, and G. Milburn, A 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).
- C. DeWitt-Morette and D. Rickles, eds., The Role of Gravitation in Physics: Report from the 1957 Chapel Hill Conference (Max-Planck-Gesellschaft zur Förderung der Wissenschaften, Berlin, 2011), 10.34663/9783945561294-00.
- D. N. Page and C. D. Geilker, Indirect evidence for quantum gravity, Phys. Rev. Lett. 47, 979 (1981).
- N. Gisin, Stochastic quantum dynamics and relativity, Helv. Phys. Acta 62, 363 (1989).
- M. Bahrami, A. Großardt, S. Donadi, and A. Bassi, The Schrödinger-Newton equation and its foundations, New J. Phys. 16, 115007 (2014).
- D. Wallace, Quantum gravity at low energies, Stud. Hist. Philos. Sci. 94, 31 (2022).
- D. Wallace, Quantum gravity at low energies, QISS Virtual Seminar (2022), https://www.youtube.com/watch?v=DEVDFRezxe0.
- J. A. Gruca, A. Kumar, R. Ganardi, P. Arumugam, K. Kropielnicka, and T. Paterek, Correlations and signaling in the Schrödinger–Newton model, Classical Quantum Gravity 41, 245014 (2024).
- U. Delić, M. Reisenbauer, K. Dare, D. Grass, V. Vuletić, N. Kiesel, and M. Aspelmeyer, Cooling of a levitated nanoparticle to the motional quantum ground state, Science 367, 892 (2020).
- T. Westphal, H. Hepach, J. Pfaff, and M. Aspelmeyer, Measurement of gravitational coupling between millimetre-sized masses, Nature (London) 591, 225 (2021).
- Y. Margalit, O. Dobkowski, Z. Zhou, O. Amit, Y. Japha, S. Moukouri, D. Rohrlich, A. Mazumdar, S. Bose, C. Henkel, and R. Folman, Realization of a complete Stern-Gerlach interferometer: Toward a test of quantum gravity, Sci. Adv. 7, eabg2879 (2021).
- M. Aspelmeyer, When Zeh meets Feynman: How to avoid the appearance of a classical world in gravity experiments, in From Quantum to Classical, Fundamental Theories of Physics, Vol. 204 (Springer, New York, 2022), pp. 85–95, 10.1007/978-3-030-88781-0_5.
- C. D. Panda, M. J. Tao, M. Ceja, J. Khoury, G. M. Tino, and H. Müller, Measuring gravitational attraction with a lattice atom interferometer, Nature (London) 631, 515 (2024).
- S. Bose et al., A spin-based pathway to testing the quantum nature of gravity, arXiv:2509.01586.
- R. Howl, V. Vedral, D. Naik, M. Christodoulou, C. Rovelli, and A. Iyer, Non-Gaussianity as a signature of a quantum theory of gravity, PRX Quantum 2, 010325 (2021).
- M. Parikh, F. Wilczek, and G. Zahariade, The noise of gravitons, Int. J. Mod. Phys. D 29, 2042001 (2020).
- M. Toroš, A. Mazumdar, and S. Bose, Loss of coherence and coherence protection from a graviton bath, Phys. Rev. D 109, 084050 (2024).
- G. Tobar, S. K. Manikandan, T. Beitel, and I. Pikovski, Detecting single gravitons with quantum sensing, Nat. Commun. 15, 7229 (2024).
- L.-Q. Chen and F. Giacomini, Quantum effects in gravity beyond the Newton potential from a delocalized quantum source, Phys. Rev. X 15, 031063 (2025).
- P. Nandi and B. R. Majhi, Unveiling gravity’s quantum fingerprint through gravitational waves, Phys. Lett. B 857, 138988 (2024).
- G. Higgins, A. D. Biagio, and M. Christodoulou, A truly relativistic gravity mediated entanglement protocol using superpositions of rotational energies, Phys. Rev. D 110, L101901 (2024).
- T. B. Lantaño, L. Petruzziello, S. F. Huelga, and M. B. Plenio, Angular momentum entanglement mediated by general relativistic frame dragging, Quantum 10, 2042 (2026).
- T. Strasser, M. Christodoulou, R. Howl, and Č. Brukner, Evidencing quantum gravity with thermodynamical observables, Phys. Rev. Res. 7, 043299 (2025).
- R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009).
- C. Marletto and V. Vedral, Witnessing non-classicality beyond quantum theory, Phys. Rev. D 102, 086012 (2020).
- T. D. Galley, F. Giacomini, and J. H. Selby, A no-go theorem on the nature of the gravitational field beyond quantum theory, Quantum 6, 779 (2022).
- S. L. Ludescher, L. D. Loveridge, T. D. Galley, and M. P. Müller, Gravity-mediated entanglement via infinite-dimensional systems, J. Phys. A 59, 215302 (2026).
- A. Spalvieri, S. C. Garmier, and F. Giacomini, Local operations and field mediated entanglement without a local tensor product structure, arXiv:2512.19806.
- C. Anastopoulos and B.-L. Hu, Comment on “A spin entanglement witness for quantum gravity” and on “Gravitationally induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity”, arXiv:1804.11315v1.
- M. J. W. Hall and M. Reginatto, On two recent proposals for witnessing nonclassical gravity, J. Phys. A 51, 085303 (2018).
- E. Marconato and C. Marletto, Vindication of entanglement-based witnesses of non-classicality in hybrid systems, J. Phys. A 54, 375301 (2021).
- S. Bose, A. Mazumdar, M. Schut, and M. Toroš, Mechanism for the quantum natured gravitons to entangle masses, Phys. Rev. D 105, 106028 (2022).
- V. Fragkos, M. Kopp, and I. Pikovski, On inference of quantization from gravitationally induced entanglement, AVS Quantum Sci. 4, 045601 (2022).
- N. Huggett, N. Linnemann, and M. D. Schneider, Quantum Gravity in a Laboratory?, 1st ed. (Cambridge University Press, Cambridge, England, 2023), 10.1017/9781009327541.
- E. Martín-Martínez and T. R. Perche, What gravity mediated entanglement can really tell us about quantum gravity, Phys. Rev. D 108, L101702 (2023).
- L. Diósi, A universal master equation for the gravitational violation of quantum mechanics, Phys. Lett. A 120, 377 (1987).
- R. Penrose, On gravity’s role in quantum state reduction, Gen. Relativ. Gravit. 28, 581 (1996).
- D. Trillo and M. Navascués, The Diósi-Penrose model of classical gravity predicts gravitationally induced entanglement, Phys. Rev. D 111, L121101 (2025).
- J. Aziz and R. Howl, Classical theories of gravity produce entanglement, Nature (London) 646, 813 (2025).
- L. Diósi, No, classical gravity does not entangle quantized matter fields, arXiv:2511.00852.
- C. Marletto, J. Oppenheim, V. Vedral, and E. Wilson, Classical gravity cannot mediate entanglement, arXiv:2511.07348.
- A. Gundhi, G. Infantino, and A. Bassi, Can classical theories of gravity produce entanglement?, arXiv:2604.19696.
- N. Tibau Vidal and A. V. Iyer, Matter-field exchange generates entanglement, not classical gravity, arXiv:2607.03429.
- T. D. Galley, F. Giacomini, and J. H. Selby, Any consistent coupling between classical gravity and quantum matter is fundamentally irreversible, Quantum 7, 1142 (2023).
- A. Di Biagio, Diagrams and GPTs for quantum gravity, Quantum Views 8, 78 (2024).
- M. Plávala, General probabilistic theories: An introduction, Phys. Rep. 1033, 1 (2023).
- M. P. Müller, Probabilistic theories and reconstructions of quantum theory, SciPost Phys. Lect. Notes 2021, 28 (2021).
- R. Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe, 1st ed. (Vintage Books, New York, 2007).
- B. Coecke and A. Kissinger, Picturing Quantum Processes (Cambridge University Press, West Nyack, 2017), 10.1017/9781316219317.
- D. Deutsch and C. Marletto, Constructor theory of information, Proc. R. Soc. A 471, 20140540 (2015).
- S. Ulbricht, A. D. B. Manjarres, and M. Reginatto, Entanglement of quantum systems via a classical mediator in hybrid van Hove theory, arXiv:2601.21555.
- J. S. Bell, On the Einstein Podolsky Rosen paradox, Phys. Phys. Fiz. 1, 195 (1964).
- H. M. Wiseman and E. G. Cavalcanti, Causarum Investigatio and the Two Bell’s Theorems of John Bell, in Quantum [Un]Speakables II: Half a Century of Bell’s Theorem, The Frontiers Collection, edited by R. A. Bertlmann and A. Zeilinger (Springer, Vienna, 2015), pp. 119–142, 10.1007/978-3-319-38987-5_6.
- A. Di Biagio, R. Howl, Č. Brukner, C. Rovelli, and M. Christodoulou, Circuit locality from relativistic locality in scalar field mediated entanglement, Quantum 10, 2046 (2026).
- S. Weinberg, The Quantum Theory of Fields I: Foundations, paperback ed., 10. print ed. (Cambridge University Press, Cambridge, England, 2014).
- S. N. Gupta, Theory of longitudinal photons in quantum electrodynamics, Proc. Phys. Soc. London Sect. A 63, 681 (1950).
- K. Bleuler, Eine neue Methode zur Behandlung der longitudinalen und skalaren Photonen, Helv. Phys. Acta 23, 567 (1950).
- C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Photons and Atoms: Introduction to Quantum Electrodynamics (Wiley, New York, 1989), 10.1002/9783527618422.
- N. Boulle and G. Franzmann, Subsystems independence in gravitationally induced entanglement proposals, Phys. Rev. D 114, 025015 (2026).
- A. Tilloy and L. Diósi, Sourcing semiclassical gravity from spontaneously localized quantum matter, Phys. Rev. D 93, 024026 (2016).
- Z. Tang, C. Yang, H. Xue, H. Yu, Z. Han, Z. Kan, and Y. Liu, Matter-mediated entanglement by classical gravity under realistic matter dynamics, arXiv:2512.13675.
- H. Xue, Z. Tang, C. Yang, Z. Han, Z. Kan, and Y. Liu, Aziz and Howl’s gravity-induced entanglement channel is essentially classical mechanics, arXiv:2604.16276.
- J. Oppenheim, A postquantum theory of classical gravity?, Phys. Rev. X 13, 041040 (2023).
- J. Oppenheim and Z. Weller-Davies, Covariant path integrals for quantum fields back-reacting on classical space-time, Phys. Rev. X 16, 031007 (2026).
- A. Tilloy, General quantum-classical dynamics as measurement based feedback, SciPost Phys. 17, 083 (2024).
- M. Christodoulou, A. Di Biagio, M. Aspelmeyer, Č. Brukner, C. Rovelli, and R. Howl, Locally mediated entanglement in linearized quantum gravity, Phys. Rev. Lett. 130, 100202 (2023), NB: despite the title, this reference does not show mediation in the sense of the present article, but simply relativistically-retarded entanglement generation, arXiv:2202.03368.