An information theoretical model for quantum secret sharing

Hideki Imai, Jörn Müller-Quade, Anderson C.A. Nascimento, Pim Tuyls, Andreas Winter

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

Similarly to earlier models for quantum error correcting codes, we introduce a quantum information theoretical model for quantum secret sharing schemes. This model provides new insights into the theory of quantum secret sharing. By using our model, among other results, we give a shorter proof of Gottesman's theorem that the size of the shares in a quantum secret sharing scheme must be as large as the secret itself. Also, we introduced approximate quantum secret sharing schemes and showed robustness of quantum secret sharing schemes by extending Gottesman's theorem to the approximate case.

Original languageEnglish
Pages (from-to)69-80
Number of pages12
JournalQuantum Information and Computation
Volume5
Issue number1
StatePublished - Jan 2005
Externally publishedYes

Keywords

  • Quantum cryptography
  • Quantum entropies
  • Quantum secret sharing

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