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An Information Theoretical Model for Quantum Secret Sharing
Quantum Information Computation
  • Hideki Imai
  • Jörn Müller-Quade
  • Anderson C. Nascimento, University of Washington Tacoma
  • Pim Tuyls
  • Andreas Winter
Publication Date
1-1-2005
Document Type
Article
Abstract

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

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Citation Information
Hideki Imai, Jörn Müller-Quade, Anderson C. Nascimento, Pim Tuyls, et al.. "An Information Theoretical Model for Quantum Secret Sharing" Quantum Information Computation Vol. 5 Iss. 1 (2005) p. 69 - 80
Available at: http://works.bepress.com/anderson-nascimento/4/