Distillation of secret key and GHZ states from multipartite mixed states
Salek, Farzin (Technical University of Munich. Zentrum Mathematik)
Winter, Andreas (Universitat Autònoma de Barcelona. Departament de Física)

Imprint:	Institute of Electrical and Electronics Engineers (IEEE), 2022
Abstract:	We consider two related problems of extracting correlation from a given multipartite mixed quantum state: the first is the distillation of a conference key when the state is shared between a number of legal players and an eavesdropper; the eavesdropper, apart from starting off with this quantum side information, also observes the public communication between the players. The second is the distillation of Greenberger-Horne-Zeilinger (GHZ) states by means of LOCC from the given mixed state. These problem settings extend our previous paper [FS & AW, IEEE Trans. Inf. Theory 68(2):976-988, 2022], and we generalise its results: using a quantum version of the task of communication for omniscience, we derive a novel lower bound on the distillable secret key from any multipartite quantum state by means of a so-called non-interacting communication protocol. Secondly, by making the secret key distillation protocol coherent, we derive novel lower bounds on the distillation rate of GHZ states. Full details in the long version [1].
Grants:	Agencia Estatal de Investigación PID2019-107609GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1127
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Capítol de llibre ; recerca ; Versió acceptada per publicar
Subject:	Protocols ; Correlation ; Law ; Quantum state ; Data mining ; Task analysis ; Information theory
Published in:	2022 IEEE International Symposium on Information Theory (ISIT), 2022, p. 2654-2659, ISBN 978-1-6654-2159-1

DOI: 10.1109/ISIT50566.2022.9834630

Available from: 2024-08-30 Postprint

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