SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 17: Quantum Networks I (joint session QI/Q)
QI 17.1: Invited Talk
Wednesday, March 8, 2023, 11:00–11:30, B305
Self-testing with dishonest parties and entanglement certification in quantum networks — •Gláucia Murta1 and Flavio Baccari2 — 1Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany — 2Max-Planck-Institut für Quantenoptik, Hans-Kopfermann- Straße 1, Garching 85748, Germany
Multipartite entanglement is a crucial resource for network cryptographic tasks, such as secret sharing and anonymous quantum communication. Here, we consider the task of entanglement verification in a quantum network. The goal is to certify entanglement of the distributed state even when some of the parties (an unknown subset of parties in the network) may act maliciously. Our main result is a device-independent verification protocol that can certify genuine multipartite entanglement in the presence of dishonest parties. Our protocol is based on the Svetlichny inequality, and we show that the maximal violation of the Svetlichny inequality can self-test the GHZ state even in the presence of dishonest parties.