TY - JOUR
T1 - Bayesian quantum thermometry based on thermodynamic length
AU - Jørgensen, Mathias R.
AU - Kołodyński, Jan
AU - Mehboudi, Mohammad
AU - Perarnau-Llobet, Martí
AU - Brask, Jonatan B.
N1 - Publisher Copyright:
© 2022 American Physical Society.
PY - 2022
Y1 - 2022
N2 - In 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.
AB - In 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.
U2 - 10.1103/PhysRevA.105.042601
DO - 10.1103/PhysRevA.105.042601
M3 - Journal article
AN - SCOPUS:85127860378
SN - 2469-9926
VL - 105
JO - Physical Review A
JF - Physical Review A
IS - 4
M1 - 042601
ER -