https://doi.org/10.1140/epjp/s13360-025-06094-6
Regular Article
Gravitationally induced uncertainty relation, quantum coherence and complete complementarity relation
School of Physics and Optoelectronic Engineering, Anhui University, 230601, Hefei, People’s Republic of China
Received:
16
June
2024
Accepted:
4
February
2025
Published online:
26
February
2025
Gravity quantization is regarded as a great challenge and being of fundamental importance in the modern physics. Recently, it has been found that entanglement induced by gravity can be generated in interferometric setups which may be used to examine the quantumness of gravity. In addition to entanglement, there are various diverse resources to manifest the quantumness of gravity. Herein, we investigate gravitationally induced uncertainty, coherence and complete complementarity relation (CCR) between two masses. The result shows that the gravitationally induced entropy-based uncertainty is highly insensitive to the reflectivity of beam splitter (BS). Importantly, we suggest the uncertainty relation can be used to entanglement witness in the current framework. Besides, we reveal that the relative entropy of coherence can approach to maximum in certain reflectivity of BS. Furthermore, the von Neumann entropy-based CCR is proved under quantum gravity, offering a powerful means for characterizing quantum correlations in bipartite systems. Thereby, we argue the current investigation offers insight into quantumness of gravity, and helps us better understand quantum gravity.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
