Effective information bounds in modified quantum mechanics

Year: 2024

Authors: Aghababaei S., Moradpour H., Wani SS., Marino F., Shah NA., Faizal M.

Autors Affiliation: Univ Farhangian, Yasouj Branch, Dept Sci, Tabriz, Iran; Univ Maragheh, Res Inst Astron & Astrophys Maragha RIAAM, Maragheh 55136553, Iran; Hamad Bin Khalifa Univ, Ctr Quantum Comp, Doha, Qatar; CNR, Ist Nazl Ott, Via Sansone 1, I-50019 Sesto Fiorentino, Italy; INFN, Sez Firenze, Via Sansone 1, I-50019 Sesto Fiorentino, Italy; Jamia Millia Islamia, Dept Phys, New Delhi 110025, India; Canadian Quantum Res Ctr CQRC, 204-3002 32 Ave, Vernon, BC V1T 2L7, Canada.

Abstract: 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.

Journal/Review: EUROPEAN PHYSICAL JOURNAL C

Volume: 84 (4)      Pages from: 404-1  to: 404-9

More Information: Salman Sajad Wani acknowledges that part of the work was conducted while working under The Scientific and Technological Research Council of Turkiye (TUBITAK) B&DEB 2232-A program under project number 121C067.
KeyWords: Generalized Uncertainty Principle; Planck-scale Physics; Minimal Length; Hawking Radiation; Spacetime Foam; Hilbert-space; Gravity; Localization; Limits
DOI: 10.1140/epjc/s10052-024-12749-y

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