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We prove that multipartite intrinsic non-locality is additive, convex, and monotone under a class of free operations called local operations and common randomness. As one of our technical contributions, we establish a chain rule for two variants of multipartite mutual information, which we then use to prove that multipartite intrinsic non-locality is additive. This chain rule may be of independent interest in other contexts. All of these properties of multipartite intrinsic non-locality are helpful in establishing the main result of our paper: multipartite intrinsic non-locality is an upper bound on secret key rate in the general multipartite scenario of DI conference key agreement. We discuss various examples of DI conference key protocols and compare our upper bounds for these protocols with known lower bounds. Finally, we calculate upper bounds on recent experimental realizations of DI quantum key distribution.<\/jats:p>","DOI":"10.22331\/q-2023-01-19-898","type":"journal-article","created":{"date-parts":[[2023,1,19]],"date-time":"2023-01-19T12:06:02Z","timestamp":1674129962000},"page":"898","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Multipartite Intrinsic Non-Locality and Device-Independent Conference Key Agreement"],"prefix":"10.22331","volume":"7","author":[{"given":"Aby","family":"Philip","sequence":"first","affiliation":[{"name":"Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, and Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA"},{"name":"School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14850, USA"}]},{"given":"Eneet","family":"Kaur","sequence":"additional","affiliation":[{"name":"Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada"},{"name":"Wyant College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA"}]},{"given":"Peter","family":"Bierhorst","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of New Orleans, Louisiana 70148, USA"}]},{"given":"Mark M.","family":"Wilde","sequence":"additional","affiliation":[{"name":"Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, and Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA"},{"name":"School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA"}]}],"member":"9598","published-online":{"date-parts":[[2023,1,19]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Charles H. 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