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  • Open Access

Nonlocal advantage of quantum coherence in top quarks

Saurabh Rai*,‡ and Jitendra Kumar†

  • *Contact author: saurabhrai@iitj.ac.in
  • †Contact author: jkumar@iitj.ac.in
  • ‡Present address: Indian Institute of Technology Kanpur, Kalyanpur, Kanpur 208016, Uttar Pradesh, India.

Phys. Rev. D 112, 114043 – Published 26 December, 2025

DOI: https://doi.org/10.1103/dvqh-ytbk

Abstract

There is a growing interest in investigating top-quark systems using tools from quantum information theory. A key peculiarity of the top quark is that it decays before hadronization or spin decorrelation occurs, thereby preserving its spin information. This unique property enables direct access to spin correlations, making the top quark an ideal candidate for probing fundamental quantum correlations in high-energy physics processes. A wide range of concepts from quantum information theory, such as entanglement, Bell nonlocality, quantum steering, quantum discord, and fidelity, have been investigated in this context. Several of these measures have been employed as diagnostic tools to test the Standard Model and to search for possible signatures of physics beyond. However, the nonlocal advantage of quantum coherence (NAQC) has remained largely unexplored in this context. In this work, we present a detailed investigation of the NAQC in top quark pair production. We employ two complementary NAQC measures based on the l1 norm and the relative entropy of coherence. We also study the effect of angular averaging on these measures and assess the sensitivity of current LHC spin-correlation measurements to NAQC. Our findings reveal rich coherence structures and highlight NAQC as potentially a novel and complementary quantum signature in high-energy physics systems.

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References (56)

  1. A. Einstein, B. Podolsky, and N. Rosen, Can quantum mechanical description of physical reality be considered complete?, Phys. Rev. 47, 777 (1935).
  2. N. Bohr, Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev. 48, 696 (1935).
  3. E. Schrödinger, Discussion of probability relations between separated systems, Math. Proc. Cambridge Philos. Soc. 31, 555 (2008).
  4. R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, Quantum entanglement, Rev. Mod. Phys. 81, 865 (2009).
  5. Y. Yu, Advancements in applications of quantum entanglement, J. Phys. Conf. Ser. 2012, 012113 (2021).
  6. J. S. Bell, On the Einstein-Podolsky-Rosen paradox, Phys. Phys. Fiz. 1, 195 (1964).
  7. 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).
  8. A. Peres, All the Bell inequalities, Found. Phys. 29, 589 (1999).
  9. R. F. Werner and M. M. Wolf, Bell inequalities and entanglement, Quantum Inf. Comput. 1, 1 (2001).
  10. B. M. Terhal, Bell inequalities and the separability criterion, Phys. Lett. A 271, 319 (2000).
  11. R. Uola, A. C. S. Costa, H. C. Nguyen, and O. Gühne, Quantum steering, Rev. Mod. Phys. 92, 015001 (2020).
  12. H. Ollivier and W. H. Zurek, Introducing quantum discord, Phys. Rev. Lett. 88, 017901 (2001).
  13. S. Luo, Quantum discord for two-qubit systems, Phys. Rev. A 77, 042303 (2008).
  14. S. Kochen and E. Specker, The problem of hidden variables in quantum mechanics, J. Math. Mech. 17, 59 (1968).
  15. M. Pavicic, Quantum contextuality, Quantum 7, 953 (2023).
  16. E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys. 91, 025001 (2019).
  17. D. Mondal, T. Pramanik, and A. K. Pati, Nonlocal advantage of quantum coherence, Phys. Rev. A 95, 010301(R) (2017).
  18. M. L. Hu, X. M. Wang, and H. Fan, Hierarchy of the nonlocal advantage of quantum coherence and Bell nonlocality, Phys. Rev. A 98, 032317 (2018).
  19. V. M. Abazov et al. (D0 Collaboration), Evidence for spin correlation in tt¯ production, Phys. Rev. Lett. 108, 032004 (2012).
  20. G. Aad et al. (ATLAS Collaboration), Observation of spin correlation in tt¯ events from pp collisions at s=7 TeV using the ATLAS detector, Phys. Rev. Lett. 108, 212001 (2012).
  21. G. Aad et al. (ATLAS Collaboration), Measurement of top quark polarization in top-antitop events from proton-proton collisions at s=7  TeV using the ATLAS detector, Phys. Rev. Lett. 111, 232002 (2013).
  22. S. Chatrchyan et al. (CMS Collaboration), Measurements of tt¯ spin correlations and top-quark polarization using dilepton final states in pp collisions at s=7  TeV, Phys. Rev. Lett. 112, 182001 (2014).
  23. G. Aad et al. (ATLAS Collaboration), Measurements of spin correlation in top-antitop quark events from proton-proton collisions at s=7  TeV using the ATLAS detector, Phys. Rev. D 90, 112016 (2014).
  24. G. Aad et al. (ATLAS Collaboration), Measurement of spin correlation in top-antitop quark events and search for top squark pair production in pp collisions at s=8  TeV using the ATLAS detector, Phys. Rev. Lett. 114, 142001 (2015).
  25. V. Khachatryan et al. (CMS Collaboration), Measurement of spin correlations in tt¯ production using the matrix element method in the muon+jets final state in pp collisions at s=8  TeV, Phys. Lett. B 758, 321 (2016).
  26. V. Khachatryan et al. (CMS Collaboration), Measurements of tt¯ spin correlations and top quark polarization using dilepton final states in pp collisions at s=8 TeV, Phys. Rev. D 93, 052007 (2016).
  27. M. Aaboud et al. (ATLAS Collaboration), Measurements of top-quark pair spin correlations in the eμ channel at s=13  TeV using pp collisions in the ATLAS detector, Eur. Phys. J. C 80, 754 (2020).
  28. T. Kaptanoglu, M. Luo, B. Land, A. Bacon, and J. Klein, Spectral photon sorting for large-scale Cherenkov and scintillation detectors, Phys. Rev. D 101, 072002 (2020).
  29. G. Aad et al. (ATLAS Collaboration), Observation of quantum entanglement with top quarks at the ATLAS detector, Nature (London) 633, 542 (2024).
  30. Y. Afik and J. R. M. de Nova, Quantum discord and steering in top quarks at the LHC, Phys. Rev. Lett. 130, 221801 (2023).
  31. Y. Afik and J. R. M. de Nova, Quantum information with top quarks in QCD, Quantum 6, 820 (2022).
  32. Y. Afik and J. R. M. de Nova, Entanglement and quantum tomography with top quarks at the LHC, Eur. Phys. J. Plus 136, 907 (2021).
  33. Z. Dong, D. Gonçalves, K. Kong, and A. Navarro, Entanglement and Bell inequalities with boosted tt−, Phys. Rev. D 109, 115023 (2024).
  34. M. Fabbrichesi, R. Floreanini, and E. Gabrielli, Constraining new physics in entangled two-qubit systems: Top-quark, tau-lepton and photon pairs, Eur. Phys. J. C 83, 162 (2023).
  35. T. Han, M. Low, and T. A. Wu, Quantum entanglement and Bell inequality violation in semi-leptonic top decays, J. High Energy Phys. 07 (2024) 192.
  36. F. Maltoni, C. Severi, S. Tentori, and E. Vryonidou, Quantum detection of new physics in top-quark pair production at the LHC, J. High Energy Phys. 03 (2024) 099.
  37. F. Maltoni, C. Severi, S. Tentori, and E. Vryonidou, Quantum tops at circular lepton colliders, J. High Energy Phys. 09 (2024) 001.
  38. K. Cheng, T. Han, and M. Low, Optimizing entanglement and Bell inequality violation in top antitop events, Phys. Rev. D 111, 033004 (2025).
  39. K. Cheng, T. Han, and M. Low, Optimizing fictitious states for Bell inequality violation in bipartite qubit systems with applications to the tt− system, Phys. Rev. D 109, 116005 (2024).
  40. J. A. Aguilar-Saavedra, Postdecay quantum entanglement in top pair production, Phys. Rev. D 108, 076025 (2023).
  41. J. A. Aguilar-Saavedra, A closer look at post-decay tt¯ entanglement, Phys. Rev. D 109, 096027 (2024).
  42. C. Severi and E. Vryonidou, Quantum entanglement and top spin correlations in SMEFT at higher orders, J. High Energy Phys. 01 (2023) 148.
  43. J. A. Aguilar-Saavedra and J. A. Casas, Entanglement autodistillation from particle decays, Phys. Rev. Lett. 133, 111801 (2024).
  44. C. D. White and M. J. White, Magic states of top quarks, Phys. Rev. D 110, 116016 (2024).
  45. R. Demina and G. Landi, Locality in collider tests of quantum mechanics with top quark pairs, Phys. Rev. D 111, 012013 (2025).
  46. B. L. Ye, L. Y. Xue, Z. Q. Zhu, D. D. Shi, and S. M. Fei, Entropic uncertainty relations and quantum Fisher information of top quarks in a large hadron collider, Phys. Rev. D 110, 055025 (2024).
  47. T. Han, M. Low, N. McGinnis, and S. Su, Measuring quantum discord at the LHC, J. High Energy Phys. 05 (2025) 081.
  48. A. Hayrapetyan et al. (CMS Collaboration), Measurements of polarization and spin correlation and observation of entanglement in top quark pairs using lepton+jets events from proton-proton collisions at s=13  TeV, Phys. Rev. D 110, 112016 (2024).
  49. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2012), ISBN [Amazon][WorldCat].
  50. G. Mahlon and S. J. Parke, Angular correlations in top quark pair production and decay at hadron colliders, Phys. Rev. D 53, 4886 (1996).
  51. A. Brandenburg, Spin spin correlations of top quark pairs at hadron colliders, Phys. Lett. B 388, 626 (1996).
  52. G. Mahlon and S. J. Parke, Maximizing spin correlations in top quark pair production at the Tevatron, Phys. Lett. B 411, 173 (1997).
  53. A. M. Sirunyan et al. (CMS Collaboration), Measurement of the top quark polarization and tt¯ spin correlations using dilepton final states in proton-proton collisions at s=13  TeV, Phys. Rev. D 100, 072002 (2019).
  54. M. Fabbrichesi, R. Floreanini, and G. Panizzo, Testing Bell inequalities at the LHC with top-quark pairs, Phys. Rev. Lett. 127, 161801 (2021).
  55. M. Czakon, M. L. Mangano, A. Mitov, and J. Rojo, Constraints on the gluon PDF from top quark pair production at hadron colliders, J. High Energy Phys. 07 (2013) 167.
  56. S. Rai and J. Kumar, Data for NAQC in Top Quarks, Zenodo (2025), 10.5281/zenodo.17891715.

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