TY - JOUR
T1 - An information theoretical model for quantum secret sharing
AU - Imai, Hideki
AU - Müller-Quade, Jörn
AU - Nascimento, Anderson C.A.
AU - Tuyls, Pim
AU - Winter, Andreas
PY - 2005/1
Y1 - 2005/1
N2 - 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.
AB - 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.
KW - Quantum cryptography
KW - Quantum entropies
KW - Quantum secret sharing
UR - http://www.scopus.com/inward/record.url?scp=14844336339&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:14844336339
SN - 1533-7146
VL - 5
SP - 69
EP - 80
JO - Quantum Information and Computation
JF - Quantum Information and Computation
IS - 1
ER -