Universal Shot-Noise Limit for Quantum Metrology with Local Hamiltonians

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dc.contributor.authorShi, Hai-Long
dc.contributor.authorGuan, Xi-Wen
dc.contributor.authorYang, Jing
dc.date.accessioned2024-09-05T01:36:18Z
dc.date.available2024-09-05T01:36:18Z
dc.date.issued2024
dc.date.updated2024-04-21T08:16:07Z
dc.description.abstractQuantum many-body interactions can induce quantum entanglement among particles, rendering them valuable resources for quantum-enhanced sensing. In this work, we establish a link between the bound on the growth of the quantum Fisher information and the Lieb-Robinson bound, which characterizes the operator growth in locally interacting quantum many-body systems. We show that for initial separable states, despite the use of local many-body interactions, the precision cannot surpass the shot noise limit at all times. This conclusion also holds for an initial state that is the nondegenerate ground state of a local and gapped Hamiltonian. These findings strongly hint that when one can only prepare separable initial states, nonlocal and long-range interactions are essential resources for surpassing the shot noise limit. This observation is confirmed through numerical analysis on the long-range Ising model. Our results bridge the field of many-body quantum sensing and operator growth in many-body quantum systems and open the possibility to investigate the interplay between quantum sensing and control, many-body physics and information scrambling.
dc.description.sponsorshipX. W. G. was supported by the NSFC key Grants No. 92365202, No. 12134015, No. 12121004, and partially supported by the Innovation Program for Quantum Science and Technology 2021ZD0302000. H. L. S. was supported by the European Commission through the H2020 QuantERA ERA-NET Cofund in Quantum Technologies project “MENTA” and the Hefei National Laboratory. J. Y. was funded by the Wallenberg Initiative on Networks and Quantum Information (WINQ) and would like to thank Hui Zhai for the hospitality in hosting his visit at the Institute of Advanced Study in Tsinghua University, during which this work was completed.
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0031-9007
dc.identifier.urihttps://hdl.handle.net/1885/733716152
dc.language.isoen_AUen_AU
dc.provenancePublished by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by Bibsam.
dc.publisherAmerican Physical Society
dc.rights© 2024 American Physical Society
dc.rights.licenseCreative Commons Attribution License
dc.rights.urihttp://creativecommons.org/licenses/by/4.0
dc.sourcePhysical Review Letters
dc.titleUniversal Shot-Noise Limit for Quantum Metrology with Local Hamiltonians
dc.typeJournal article
dcterms.accessRightsOpen Access
local.bibliographicCitation.issue10
local.bibliographicCitation.lastpage100803-7
local.bibliographicCitation.startpage100803-1
local.contributor.affiliationShi, Hai-Long, Chinese Academy of Sciences
local.contributor.affiliationGuan, Xi-Wen, College of Science, ANU
local.contributor.affiliationYang, Jing, Stockholm University
local.contributor.authoremailu4054868@anu.edu.au
local.contributor.authoruidGuan, Xi-Wen, u4054868
local.description.notesImported from ARIES
local.identifier.absfor510804 - Quantum optics and quantum optomechanics
local.identifier.ariespublicationU1147026xPUB81
local.identifier.citationvolume132
local.identifier.doi10.1103/PhysRevLett.132.100803
local.identifier.scopusID2-s2.0-85186763213
local.identifier.uidSubmittedByU1147026
local.publisher.urlhttps://journals.aps.org/
local.type.statusPublished Version
publicationvolume.volumeNumber132

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