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Fundamental Limits in Bayesian Thermometry and Attainability via Adaptive Strategies

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dc.abstract.enWe investigate the limits of thermometry using quantum probes at thermal equilibrium within the Bayesian approach. We consider the possibility of engineering interactions between the probes in order to enhance their sensitivity, as well as feedback during the measurement process, i.e., adaptive protocols. On the one hand, we obtain an ultimate bound on thermometry precision in the Bayesian setting, valid for arbitrary interactions and measurement schemes, which lower bounds the error with a quadratic (Heisenberg-like) scaling with the number of probes. We develop a simple adaptive strategy that can saturate this limit. On the other hand, we derive a no-go theorem for nonadaptive protocols that does not allow for better than linear (shot-noise-like) scaling even if one has unlimited control over the probes, namely, access to arbitrary many-body interactions.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorSeah, Stella
dc.contributor.authorBrask, Jonatan B.
dc.contributor.authorKołodyński, Jan
dc.contributor.authorPerarnau-Llobet, Martí
dc.contributor.authorMehboudi, Mohammad
dc.contributor.authorJørgensen, Mathias R.
dc.date.accessioned2024-01-25T01:40:26Z
dc.date.available2024-01-25T01:40:26Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.description.number13
dc.description.volume128
dc.identifier.doi10.1103/PHYSREVLETT.128.130502
dc.identifier.issn0031-9007
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/107629
dc.identifier.weblinkhttps://link.aps.org/article/10.1103/PhysRevLett.128.130502
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofPhysical Review Letters
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleFundamental Limits in Bayesian Thermometry and Attainability via Adaptive Strategies
dc.typeJournalArticle
dspace.entity.typePublication