Southwest Quantum Information and Technology

Upper Bound for Device Independent Conference Key Agreement

Presenting Author: Aby Philip, Louisiana State University
Contributing Author(s): Eneet Kaur, Peter Bierhorst, Mark M. Wilde

Conference key agreement is a genuinely multipartite cryptographic task. Here, we consider the device independent (DI) approach to account for as many of these problems as possible. In this work, we introduce the multipartite intrinsic non-locality as a resource quantifier for the tripartite scenario of device-independent conference key agreement. We prove that this quantity is additive, convex, and monotone under local operations and common randomness. As one of our technical contributions, we establish a chain rule for multipartite mutual information, which may be of independent interest. We then use this chain rule to establish the multipartite intrinsic non-locality as 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.

(Session 5 : Thursday from 12:00pm-2:00 pm)