Effective information bounds in modified quantum mechanics

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...

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Main Authors: Sarah Aghababaei, Hooman Moradpour, Salman Sajad Wani, Francesco Marino, Naveed Ahmad Shah, Mir Faizal
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12749-y
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author Sarah Aghababaei
Hooman Moradpour
Salman Sajad Wani
Francesco Marino
Naveed Ahmad Shah
Mir Faizal
author_facet Sarah Aghababaei
Hooman Moradpour
Salman Sajad Wani
Francesco Marino
Naveed Ahmad Shah
Mir Faizal
author_sort Sarah Aghababaei
collection DOAJ
description 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.
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spelling doaj.art-51b19449446544c2bc6be1cfe9dad5782024-04-21T11:28:00ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-04-018441910.1140/epjc/s10052-024-12749-yEffective information bounds in modified quantum mechanicsSarah Aghababaei0Hooman Moradpour1Salman Sajad Wani2Francesco Marino3Naveed Ahmad Shah4Mir Faizal5Department of Science, University of FarhangianResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of MaraghehCenter for Quantum Computing, Hamad Bin Khalifa UniversityCNR-Istituto Nazionale di Ottica and INFN Sezione di FirenzeDepartment of Physics, Jamia Millia IslamiaCanadian Quantum Research Center (CQRC)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.https://doi.org/10.1140/epjc/s10052-024-12749-y
spellingShingle Sarah Aghababaei
Hooman Moradpour
Salman Sajad Wani
Francesco Marino
Naveed Ahmad Shah
Mir Faizal
Effective information bounds in modified quantum mechanics
European Physical Journal C: Particles and Fields
title Effective information bounds in modified quantum mechanics
title_full Effective information bounds in modified quantum mechanics
title_fullStr Effective information bounds in modified quantum mechanics
title_full_unstemmed Effective information bounds in modified quantum mechanics
title_short Effective information bounds in modified quantum mechanics
title_sort effective information bounds in modified quantum mechanics
url https://doi.org/10.1140/epjc/s10052-024-12749-y
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AT salmansajadwani effectiveinformationboundsinmodifiedquantummechanics
AT francescomarino effectiveinformationboundsinmodifiedquantummechanics
AT naveedahmadshah effectiveinformationboundsinmodifiedquantummechanics
AT mirfaizal effectiveinformationboundsinmodifiedquantummechanics