Quantum secret sharing and tripartite information

Guangkuo Liu, Peixue Wu, Haneul Kim, Marius Junge

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We develop a connection between tripartite information I3, quantum secret sharing protocols and multi-unitaries. This leads to a general framework of constructing ((2, 3)) threshold schemes in arbitrary dimension. As an application, we propose a class of random codes generated by Haar-distributed random unitaries, in which all states have bounded tripartite information with high probability. Moreover, using the I3 criteria for imperfect sharing schemes, we discover examples of VIP secret sharing schemes.

Original languageEnglish (US)
Title of host publication2023 IEEE International Symposium on Information Theory, ISIT 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781665475549
StatePublished - 2023
Event2023 IEEE International Symposium on Information Theory, ISIT 2023 - Taipei, Taiwan, Province of China
Duration: Jun 25 2023Jun 30 2023

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8095


Conference2023 IEEE International Symposium on Information Theory, ISIT 2023
Country/TerritoryTaiwan, Province of China

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics


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