Quantum Mpemba Effect in Non-Equilibrium Quantum Thermometry

Quantum Physics [Submitted on 16 Apr 2026] Quantum Mpemba Effect in Non-Equilibrium Quantum Thermometry Zi-Shen Li, Yuxiang Yang The quantum Mpemba effect (QMpE) describes an anomalous thermalization phenomenon in which quantum states initially far from equilibrium can approach thermal equilibrium faster than states that begin closer to it. While this effect has been extensively studied in various frameworks, its practical implications for quantum information processing remain largely unexplored. We investigate the relationship between QMpE and quantum thermometry, focusing on non-equilibrium scenarios where measurements are performed during early-stage thermalization. In a Markovian model, we rigorously prove that the initial states that are optimal for thermometry exhibit QMpE with high probability and thermalize faster than most initial states. Our results reveal a fundamental connection between quantum thermodynamics and thermometry, suggesting that QMpE can be harnessed to enhance temperature estimation with quantum probes. Comments: 27 pages, 4 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.14740 [quant-ph]   (or arXiv:2604.14740v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.14740 Focus to learn more Submission history From: Zi-Shen Li [view email] [v1] Thu, 16 Apr 2026 07:53:58 UTC (761 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)