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Bayesian quantum thermometry based on thermodynamic length

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cris.lastimport.scopus2024-02-12T19:31:29Z
dc.abstract.enIn this work we propose a theory of temperature estimation of quantum systems, which is applicable in the regime of non-negligible prior temperature uncertainty and limited measurement data. In this regime the problem of establishing a well-defined measure of estimation precision becomes nontrivial. Furthermore, the construction of a suitable criterion for optimal measurement design must be reexamined to account for the prior uncertainty. We propose a fully Bayesian approach to temperature estimation based on the concept of thermodynamic length, which solves both these problems. As an illustration of this framework, we consider thermal spin-1/2 particles and investigate the fundamental difference between two cases: on the one hand, when the spins are probing the temperature of a heat reservoir and, on the other, when the spins themselves constitute the sample.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorMehboudi, Mohammad
dc.contributor.authorJørgensen, Mathias R.
dc.contributor.authorKołodyński, Jan
dc.contributor.authorPerarnau-Llobet, Martí
dc.contributor.authorBrask, Jonatan B.
dc.date.accessioned2024-01-24T18:33:18Z
dc.date.available2024-01-24T18:33:18Z
dc.date.issued2022
dc.description.financePublikacja bezkosztowa
dc.description.number4
dc.description.volume105
dc.identifier.doi10.1103/PHYSREVA.105.042601
dc.identifier.issn1050-2947
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/102048
dc.identifier.weblinkhttps://link.aps.org/article/10.1103/PhysRevA.105.042601
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofPhysical Review A - Atomic, Molecular, and Optical Physics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleBayesian quantum thermometry based on thermodynamic length
dc.typeJournalArticle
dspace.entity.typePublication