Pointwise mutual information bounded by stochastic Fisher information

Quantum Physics [Submitted on 13 Mar 2026] Pointwise mutual information bounded by stochastic Fisher information Pedro B. Melo We derive general upper bounds to pointwise mutual information in terms of stochastic Fisher information and show these bounds average to known results in the literature for bounds to mutual information in terms of Fisher information. These results deepen the connection between information-theoretical quantities and are shown to hold in general cases. We test the bounds in classical systems and provide a quantum generalization. Our results are useful for stochastic dynamics, quantum sensing and quantum communication, providing a less costly way to realize and saturate the bounds. Comments: 8 pages Subjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2603.12573 [quant-ph]   (or arXiv:2603.12573v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.12573 Focus to learn more Submission history From: Pedro Barreto Melo [view email] [v1] Fri, 13 Mar 2026 02:09:59 UTC (15 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 Change to browse by: cond-mat cond-mat.stat-mech 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?)