Tripartite quantum-memory-assisted entropic uncertainty relations in three-qubit Heisenberg XXZ spin model with DM and KASE interactions 

Tripartite quantum-memory-assisted entropic uncertainty relations in three-qubit Heisenberg XXZ spin model with DM and KASE interactions | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Tripartite quantum-memory-assisted entropic uncertainty relations in three-qubit Heisenberg XXZ spin model with DM and KASE interactions Yanliang Zhang, Zhangzhang Wu, Chenyang Shi, Qingping Zhou, Maofa Fang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7830546/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 22 Jan, 2026 Read the published version in Quantum Information Processing → Version 1 posted 11 You are reading this latest preprint version Abstract In this paper, we have investigated the dynamical features of tripartite quantum-memory-assisted entropic uncertainty (tQMA-EU) and its two corresponding lower bounds in three-qubit Heisenberg XXZ spin chain model with Dzyaloshinskii-Moriya (DM) interaction and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interaction. The results show that, when the DM and KSEA interaction are taken account, the Dolatkhah's lower bound is always equal to the tQMA-EU and remains higher than the Ming's lower bound in both ferromagnetic and antiferromagnetic cases.The increasing of DM and KASE interactions can effectively reduce the value of tQMA-EU, the varying behaviors of tQMA-EU with respect to DM and KASE interactions from positive and negative intervals demonstrate central symmetry. Particularly, in ferromagnetic case, this reduction effect is more pronounced than that in antiferromagnetic case. In addition, the dynamical features of Dolatkhah's lower bound and Ming's lower bound with respect to the spin chain systemic parameters display distinct differences in the ferromagnetic and antiferromagnetic cases. Specifically, in the ferromagnetic case and with weak DM interaction, during the lower temperature range, under the influence of the KSEA interaction and under an external magnetic field, the Dolatkhah's lower bound dosen't negative-correlated to tripartite negativity quantum correlation N ABC . in contrast, the dynamics of Ming's lower bound show negative-correlated to N ABC . tripartite quantum-memory-assisted entropic uncertainty DM and KASE interactions tripartite negativity Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 22 Jan, 2026 Read the published version in Quantum Information Processing → Version 1 posted Editorial decision: Revision requested 07 Dec, 2025 Reviews received at journal 07 Dec, 2025 Reviews received at journal 06 Dec, 2025 Reviews received at journal 04 Dec, 2025 Reviewers agreed at journal 03 Nov, 2025 Reviewers agreed at journal 03 Nov, 2025 Reviewers agreed at journal 03 Nov, 2025 Reviewers invited by journal 02 Nov, 2025 Editor assigned by journal 15 Oct, 2025 Submission checks completed at journal 15 Oct, 2025 First submitted to journal 10 Oct, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7830546","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":542648078,"identity":"e73aab57-7178-4be4-9e39-d900034985d4","order_by":0,"name":"Yanliang 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The results show that, when the DM and KSEA interaction are taken account, the Dolatkhah's lower bound is always equal to the tQMA-EU and remains higher than the Ming's lower bound in both ferromagnetic and antiferromagnetic cases.The increasing of DM and KASE interactions can effectively reduce the value of tQMA-EU, the varying behaviors of tQMA-EU with respect to DM and KASE interactions from positive and negative intervals demonstrate central symmetry. Particularly, in ferromagnetic case, this reduction effect is more pronounced than that in antiferromagnetic case. In addition, the dynamical features of Dolatkhah's lower bound and Ming's lower bound with respect to the spin chain systemic parameters display distinct differences in the ferromagnetic and antiferromagnetic cases. 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