https://doi.org/10.1140/epjc/s10052-024-12749-y
Regular Article - Theoretical Physics
Effective information bounds in modified quantum mechanics
1
Department of Science, University of Farhangian, Yasouj Branch, Iran
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, 55136-553, Maragheh, Iran
3
Center for Quantum Computing, Hamad Bin Khalifa University, Doha, Qatar
4
CNR-Istituto Nazionale di Ottica and INFN Sezione di Firenze, Via Sansone 1, 50019, Sesto Fiorentino, FI, Italy
5
Department of Physics, Jamia Millia Islamia, 110025, New Delhi, India
6
Canadian Quantum Research Center (CQRC), 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
Received:
21
November
2023
Accepted:
1
April
2024
Published online:
18
April
2024
A common feature of collapse models and an expected signature of the quantization of gravity at energies well below the Planck scale is the deviation from ordinary quantum-mechanical behavior. Here, we analyze the general consequences of such modifications from the point of view of quantum information theory and we anticipate applications to different quantum systems. We show that quantum systems undergo corrections to the quantum speed limit which, in turn, imply the modification of the Heisenberg limit for parameter estimation. Our results hold for a wide class of scenarios beyond ordinary quantum mechanics. For some nonlocal models inspired by quantum gravity, the bounds are found to oscillate in time, an effect that could be tested in future high-precision quantum experiments.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
