Machine classification for probe-based quantum thermometry

FS Luiz, AO Junior, FF Fanchini, GT Landi - Physical Review A, 2022 - APS
Physical Review A, 2022APS
We consider probe-based quantum thermometry and show that machine classification can
provide model-independent estimation with quantifiable error assessment. Our approach is
based on the k-nearest-neighbor algorithm. The machine is trained using data from either
computer simulations or a calibration experiment. This yields a predictor which can be used
to estimate the temperature from new observations. The algorithm is highly flexible and
works with any kind of probe observable. It also allows one to incorporate experimental …
We consider probe-based quantum thermometry and show that machine classification can provide model-independent estimation with quantifiable error assessment. Our approach is based on the -nearest-neighbor algorithm. The machine is trained using data from either computer simulations or a calibration experiment. This yields a predictor which can be used to estimate the temperature from new observations. The algorithm is highly flexible and works with any kind of probe observable. It also allows one to incorporate experimental errors, as well as uncertainties about experimental parameters. We illustrate our method with an impurity thermometer in a Bose gas, as well as in the estimation of the thermal phonon number in the Rabi model.
American Physical Society
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