Efficient quantum secret sharing without a trusted player

Quantum secret sharing (QSS) is a fundamental primitive in quantum cryptography. The complex and secure multiparty quantum protocols can be built using QSS. The existing QSS protocols are either ( n ,  n ) threshold 2-level or ( t ,  n ) threshold d -level with a trusted player, where n denotes the number of players and t denotes the threshold number of players. Here, we propose a secure d -level QSS protocol for sharing a secret, where t players can reconstruct the secret without a trusted player. This protocol is more secure, flexible, and practical as compared to the existing QSS protocols: ( n ,  n ) threshold 2-level and ( t ,  n ) threshold d -level with a trusted player. Further, it does not disclose any information about the secret to players. Its security analysis shows that the intercept-resend, intercept, entangle-measure, forgery, collision and collusion attacks are not possible in this protocol.

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