Interplay Between Quantum Coherence and Multiparameter Quantum Estimation in Graphene
This work advances quantum metrology by clarifying how coherence and estimation precision trade off in graphene, guiding the design of sensors that exploit these effects without assuming optimal overlap between the two properties.
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Quantum Physics arXiv:2607.05661 (quant-ph) [Submitted on 6 Jul 2026] Title:Interplay Between Quantum Coherence and Multiparameter Quantum Estimation in Graphene Authors:Younes Moqine, Brahim Adnane, Abdelilah El Rhazali, and Rachid Houça View a PDF of the paper titled Interplay Between Quantum Coherence and Multiparameter Quantum Estimation in Graphene, by Younes Moqine and Brahim Adnane and Abdelilah El Rhazali and and Rachid Hou\c{c}a View PDF HTML (experimental) Abstract:In this work, we investigate the relationship between quantum coherence and multiparameter quantum estimation in a graphene-based system. We focus on the estimation of two relevant physical parameters, namely the temperature $T$ and the wave vector $k_x$, and analyze how their variations affect both quantum coherence and the achievable metrological precision. The minimum variances associated with the estimation process are evaluated through the quantum Cramér--Rao bound within both simultaneous and independent estimation schemes. Our results show that quantum coherence is enhanced in the low-temperature regime and around $k_x=0$, while it decreases progressively as either the temperature or the wave vector increases. However, the regions where coherence is maximal do not necessarily coincide with those of optimal estimation precision. In particular, the variance associated with temperature estimation exhibits a divergent behavior near $T=0$, indicating that the system becomes weakly sensitive to small temperature variations in this regime. By contrast, the estimation of the wave vector $k_x$ is more directly related to the coherence properties of the system, with improved precision obtained near $k_x=0$. Furthermore, we introduce the ratio $\Gamma$ to compare the total variances obtained from the independent and simultaneous estimation schemes. This quantity provides a useful measure of the relative difference between the two strategies when the parameters are estimated separately or jointly. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2607.05661 [quant-ph] (or arXiv:2607.05661v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.05661 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Houca Rachid Hourachid [view email] [v1] Mon, 6 Jul 2026 22:06:56 UTC (211 KB) Full-text links: Access Paper: View a PDF of the paper titled Interplay Between Quantum Coherence and Multiparameter Quantum Estimation in Graphene, by Younes Moqine and Brahim Adnane and Abdelilah El Rhazali and and Rachid Hou\c{c}aView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-07 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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 Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)