- Open Access
Role of nonclassicality in mediated spatial quantum correlations
Phys. Rev. A 113, 052218 – Published 18 May, 2026
DOI: https://doi.org/10.1103/b3pl-93t2
Abstract
The study of nonclassicality is essential to understand the quantum-to-classical transition in physical systems. Recently, a witness of nonclassicality has been proposed, linking the ability of a system (the mediator) to create quantum correlations between two quantum probes with its nonclassicality, intended as the existence of at least two noncommuting variables. Here we propose an inequality that quantitatively links the increase in quantum correlations between the probes to a function of the noncommutativity of the mediator's observables. We test the inequality for various degrees of nonclassicality of the mediator, from fully quantum to fully classical. This quantum-to-classical transition is simulated via a phase-flip channel applied to the mediator, inducing an effective reduction of the noncommutativity of its variables. Our results provide a general framework for witnessing nonclassicality, assessing the nonclassicality of a system via its intrinsic properties, independently of the specific chosen interaction dynamics.
Physics Subject Headings (PhySH)
Article Text
References (26)
- C. Marletto and V. Vedral, Witnessing nonclassicality beyond quantum theory, Phys. Rev. D 102, 086012 (2020).
- B. O. Koopman, Hamiltonian systems and transformation in Hilbert space, Proc. Natl. Acad. Sci. USA 17, 315 (1931).
- T. N. Sherry and E. C. G. Sudarshan, Interaction between classical and quantum systems: A new approach to quantum measurement. I, Phys. Rev. D 18, 4580 (1978).
- W. Heisenberg, Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik, Z. Phys. 43, 172 (1927).
- C. Marletto and V. Vedral, Quantum-information methods for quantum gravity laboratory-based tests, Rev. Mod. Phys. 97, 015006 (2025).
- G. Di Pietra, V. Vedral, and C. Marletto, in Quantum Gravity and Computation, edited by D. Rickles, X. D. Arsiwalla, and H. Elshatlawy (Routledge, New York, 2025), Chap. 3.
- 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).
- 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).
- T. Krisnanda, R. Ganardi, S.-Y. Lee, J. Kim, and T. Paterek, Detecting nondecomposability of time evolution via extreme gain of correlations, Phys. Rev. A 98, 052321 (2018).
- R. Ganardi, E. Panwar, M. Pandit, B. Woloncewicz, and T. Paterek, Quantitative nonclassicality of mediated interactions, PRX Quantum 5, 010318 (2024).
- M. J. Donald and M. Horodecki, Continuity of relative entropy of entanglement, Phys. Lett. A 264, 257 (1999).
- M. B. Plenio, Logarithmic negativity: A full entanglement monotone that is not convex, Phys. Rev. Lett. 95, 090503 (2005).
- D. Deutsch, A. Barenco, and A. Ekert, Universality in quantum computation, Proc. R. Soc. A 449, 669 (1995).
- D. Deutsch and P. Hayden, Information flow in entangled quantum systems, Proc. R. Soc. A 456, 1759 (2000).
- C. A. Bédard, The ABC of Deutsch–Hayden descriptors, Quantum Rep. 3, 272 (2021).
- G. Bhole, J. A. Jones, C. Marletto, and V. Vedral, Witnesses of non-classicality for simulated hybrid quantum systems, J. Phys. Commun. 4, 025013 (2020).
- C. H. Bennett, A. W. Harrow, D. W. Leung, and J. A. Smolin, On the capacities of bipartite Hamiltonians and unitary gates, IEEE Trans. Inf. Theory 49, 1895 (2003).
- B. Schumacher and M. A. Nielsen, Quantum data processing and error correction, Phys. Rev. A 54, 2629 (1996).
- S. Lloyd, Capacity of the noisy quantum channel, Phys. Rev. A 55, 1613 (1997).
- Z. Zhao, R. Pisarczyk, J. Thompson, M. Gu, V. Vedral, and J. F. Fitzsimons, Geometry of quantum correlations in space-time, Phys. Rev. A 98, 052312 (2018).
- G. Di Pietra and C. Marletto, Temporal witnesses of non-classicality and conservation laws, J. Phys. A: Math. Theor. 56, 265305 (2023).
- T. Feng, C. Marletto, and V. Vedral, Conservation laws and the quantization of gravity, arXiv:2311.08971.
- G. Di Pietra, G. Bhole, J. Eaton, A. J. Baldwin, J. A. Jones, V. Vedral, and C. Marletto, Temporal entanglement and witnesses of non-classicality, arXiv:2506.15474.
- F. Casas, A. Murua, and M. Nadinic, Efficient computation of the Zassenhaus formula, Comput. Phys. Commun. 183, 2386 (2012).
- R. Schatten, Norm Ideals of Completely Continuous Operators (Springer, Berlin, 1960).
- J. Watrous, The Theory of Quantum Information, 1st ed. (Cambridge University Press, Cambridge, 2018).