2019/11/30 by Yoshihiko Hasegawa · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Entropic uncertainty #Entropy production #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Relation (database) #Scaling #Statistical physics #Uncertainty principle #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.125.050601
published as Phys. Rev. Lett. 125, 050601 (2020) · 6 pages, 3 figures; 10 pages of supplemental material with 2 figures
arxiv created 2020/05/23 · openalex publication_date 2020/07/27 · arxiv updated 2020/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use quantum estimation theory to derive a thermodynamic uncertainty relation in Markovian open quantum systems, which bounds the fluctuation of continuous measurements. The derived quantum thermodynamic uncertainty relation holds for arbitrary continuous measurements satisfying a scaling condition. We derive two relations; the first relation bounds the fluctuation by the dynamical activity and the second one does so by the entropy production. We apply our bounds to a two-level atom driven by a laser field and a three-level quantum thermal machine with jump and diffusion measurements. Our result shows that there exists a universal bound upon the fluctuations, regardless of continuous measurements.