Distillation of secret key and GHZ states from multipartite mixed states

Farzin Salek, Andreas Winter

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Resum

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].
Idioma originalAnglès
Títol de la publicació2022 IEEE International Symposium on Information Theory (ISIT)
EditorInstitute of Electrical and Electronics Engineers (IEEE)
Edició2022
ISBN (electrònic)978-1-6654-2159-1
DOIs
Estat de la publicacióEn premsa - 2022

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  • DYNAMICAL RESOURCES IN QUANTUM INFORMATION

    Muñoz Tapia, R. (PI), Calsamiglia Costa, J. (Investigador/a Principal 2), Baghali Khanian, Z. (Col.laborador/a), Bilkis , M. (Col.laborador/a), Marconi , C. (Col.laborador/a), Martínez-Vargas, E. (Col.laborador/a), Riera Campeny, A. (Col.laborador/a), Rosati , M. (Col.laborador/a), Salek Shishavan, F. (Col.laborador/a), Skoteiniotis ., M. (Col.laborador/a), Strasberg ., P. (Col.laborador/a), Bagan Capella, E. (Investigador/a), Pons Barba, M. L. (Investigador/a), Sanpera Trigueros, A. (Investigador/a), Sentís Herrera, G. (Investigador/a), Winter , A. J. (Investigador/a), Díaz, M. G. (Col.laborador/a), Hoogsteder Riera, M. (Col.laborador/a), Gasbarri ., G. (Col.laborador/a), Fanizza ., M. (Col.laborador/a), Llorens Fernandez, S. (Col.laborador/a), Schindler ., J. C. (Col.laborador/a), Gavorova , Z. (Col.laborador/a), Cai , M. (Col.laborador/a), Zartab ., M. (Col.laborador/a), Galke ., N. (Col.laborador/a), Kothakonda , N. B. T. (Col.laborador/a), Ahiable , J. (Col.laborador/a), Roda Salichs, E. (Col.laborador/a), Svampa, I. (Col.laborador/a), Kunjwal, R. (Col.laborador/a), di Pietro, A. (Col.laborador/a), Strelchuk, S. (Col.laborador/a), Gerhard, K. S. (Col.laborador/a), Kleinmann, M. (Col.laborador/a) & Buscemi, F. (Col.laborador/a)

    1/01/2030/09/23

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