Long-distance device-independent quantum secret sharing with noiseless linear amplification and entanglement purification

Long-distance device-independent quantum secret sharing with noiseless linear amplification and entanglement purification | 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 Long-distance device-independent quantum secret sharing with noiseless linear amplification and entanglement purification Zhong-Jian Wang, Qi Zhang, Jia-Wei Ying, Shi-Pu Gu, Xing-Fu Wang, and 3 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7627273/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 15 Apr, 2026 Read the published version in Quantum Information Processing → Version 1 posted 10 You are reading this latest preprint version Abstract Quantum secret sharing (QSS) is a fundamental primitive of quantum network that enables multiple parties to securely share secret keys. Device-independent (DI) QSS offers the highest security by removing the assumptions on all experimental devices. However, the photon transmission loss and quantum state decoherence largely limit DI QSS’s secure photon transmission distance and experimental demonstration. For resisting above two obstacles, in this work, we propose a new DI QSS protocol that integrates two passive improvement strategies, the noiseless linear amplification (NLA) and entanglement purification. These passive strategies can completely eliminate the influence from photon transmission loss and improve entanglement distribution quality. In this way, DI QSS’s secure photon transmission distance can be extended to infinity in theory and its noise robustness can be largely enhanced (The threshold of the initial fidelity can be reduced from 85.71% to 65.75%). The NLA and EPP are based on linear optical elements, ensuring their experimental feasibility. We also introduce active improvement strategies in this DI QSS protocol, which can reduce its requirements on local experimental devices and further increase its noise robustness. The fidelity threshold can be further reduced to 59.73%. Our DI QSS protocol provides a possible solution for constructing DI multi-party long-distance quantum network. Bell nonlocality Device-independent Quantum secret sharing Improvement strategy Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 15 Apr, 2026 Read the published version in Quantum Information Processing → Version 1 posted Editorial decision: Revision requested 11 Jan, 2026 Reviews received at journal 22 Dec, 2025 Reviewers agreed at journal 10 Dec, 2025 Reviews received at journal 02 Dec, 2025 Reviewers agreed at journal 07 Nov, 2025 Reviewers agreed at journal 23 Oct, 2025 Reviewers invited by journal 23 Oct, 2025 Editor assigned by journal 19 Sep, 2025 Submission checks completed at journal 19 Sep, 2025 First submitted to journal 16 Sep, 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-7627273","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":538642057,"identity":"c24817be-eff7-4869-bf65-d5b3ecc68212","order_by":0,"name":"Zhong-Jian Wang","email":"","orcid":"","institution":"Nanjing University of Posts and Telecommunications","correspondingAuthor":false,"prefix":"","firstName":"Zhong-Jian","middleName":"","lastName":"Wang","suffix":""},{"id":538642058,"identity":"a7c63bc1-45b6-40ef-bfe2-2860728a82eb","order_by":1,"name":"Qi Zhang","email":"","orcid":"","institution":"Nanjing University of Posts and 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