Global quantum thermometry
- A paradigm shift in quantum thermometry is proposed. To date, thermometry has relied on local estimation, which is useful to reduce statistical fluctuations once the temperature is very well known. In order to estimate temperatures in cases where few measurement data or no substantial prior knowledge are available, we build instead a method for global quantum thermometry. Based on scaling arguments, a mean logarithmic error is shown here to be the correct figure of merit for thermometry. Its full minimization provides an operational and optimal rule to postprocess measurements into a temperature reading, and it establishes a global precision limit. We apply these results to the simulated outcomes of measurements on a spin gas, finding that the local approach can lead to biased temperature estimates in cases where the global estimator converges to the true temperature. The global framework thus enables a reliable approach to data analysis in thermometry experiments.
Author details: | Jesús RubioORCiD, Janet AndersORCiD, Luis A. CorreaORCiDGND |
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DOI: | https://doi.org/10.1103/PhysRevLett.127.190402 |
ISSN: | 0031-9007 |
ISSN: | 1079-7114 |
Pubmed ID: | https://pubmed.ncbi.nlm.nih.gov/34797130 |
Title of parent work (English): | Physical review letters / publ. by the American Physical Society |
Publisher: | American Physical Society |
Place of publishing: | College Park |
Publication type: | Article |
Language: | English |
Date of first publication: | 2021/11/02 |
Publication year: | 2021 |
Release date: | 2023/01/13 |
Volume: | 127 |
Issue: | 19 |
Article number: | 190402 |
Number of pages: | 6 |
Funding institution: | EPSRCUK Research & Innovation (UKRI)Engineering & Physical Sciences Research Council (EPSRC) [EP/R045577/1]; Royal SocietyRoyal Society of LondonEuropean Commission |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
5 Naturwissenschaften und Mathematik / 55 Geowissenschaften, Geologie / 550 Geowissenschaften | |
Peer review: | Referiert |