An
information theoretical model for quantum secret sharing schemes (pp069-080)
Hideki Imai, Jorn
Mueller-Quade, Anderson C.A. Nascimento, Pim Tuyls, and Andreas Winter
doi:
https://doi.org/10.26421/QIC5.1-7
Abstracts:
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.
Key words:
quantum secret sharing, quantum entropies,
quantum cryptography |