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International Journal of Modern Physics C

MULTIPARTY QUANTUM SECRET SHARING SCHEME OF CLASSICAL MESSAGES BY SWAPPING QUDIT-STATE ENTANGLEMENT

Zhanjun Zhang, Yimin Liu, Ming Fang, Dong Wang

Published Dec 1, 2007• 19 citations
Publisher

Abstract

A multiparty quantum secret sharing scheme based on Bell-state entanglement swapping [Z. J. Zhang and Z. X. Man (2005)] is generalized to the qutrit case, that is, with qutrit-pair entangled states we propose a multiparty quantum secret sharing (QSS) scheme of classical messages by swapping qutrit-state entanglement. The security of our scheme is analyzed and confirmed with respect to some attacks. Compared to the scheme being generalized, this scheme possesses the distinct advantages of higher code capacity and higher security. Moreover, the generalization of the scheme to the qudit case is also outined.

DOI
10.1142/s0129183107011807

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A multiparty quantum secret sharing scheme based on Bell-state entanglement swapping [Z. J. Zhang and Z. X. Man (2005)] is generalized to the qutrit case, that is, with qutrit-pair entangled states we propose a multiparty quantum secret sharing (QSS) scheme of classical messages by swapping qutrit-state entanglement. The security of our scheme is analyzed and confirmed with respect to some attacks. Compared to the scheme being generalized, this scheme possesses the distinct advantages of higher code capacity and higher security. Moreover, the generalization of the scheme to the qudit case is also outined.
A multiparty quantum secret sharing (QSS) protocol of classical messages (i.e., classical bits) is proposed by using swapping quantum entanglement of Bell states. The secret messages are imposed on Bell states by local unitary operations. The secret messages are split into several parts, and each part is distributed to a separate party so that no action of a subset of all the parties without the cooperation of the entire group is able to read out the secret messages. In addition, dense coding is used in this protocol to achieve a high efficiency. The security of the present multiparty QSS against eavesdropping has been analyzed and confirmed even in a noisy quantum channel.
A multiparty quantum secret sharing scheme is proposed to utilize the magic properties of entanglement swapping. In this scheme, a set of (2N-1) EPR pairs is used to encode and distribute a secret message to (N-1) parties. Each secret message will be split into (N-1) packets. By performing the local unitary operations and entanglement swapping, each classical bit packet will be encoded secretly into Bell states so no subset of parties but their entire cooperation can read out the original secret message. The security of this proposed scheme is also considered.
Based on the multiparty quantum secret sharing protocol [Z. J. Zhang and Z. X. Man, Phys. Rev. A 72, 022303 (2005)] , we proposed two schemes to enhance the transmission efficiency of whole protocol. In our improved version of the Zhang-Man protocol which the dealer can transmit double amount of secret messages at a time securely instead of doing the Zhang-Man protocol twice. Besides, we save a lot of cost of whole quantum secret sharing system. When the amount of secret messages is large and the number of agents is more, the performance of our schemes is much better than the ZhangMan protocol.
Based on the multiparty quantum secret sharing (QSS) protocol called Zhang–Man protocol, the authors proposed two schemes to enhance the transmission efficiency of whole protocol. In the proposed improved protocol, the dealer can transmit double amount of secret messages at a time securely instead of doing the original Zhang–Man protocol twice. Besides, the authors save a lot of cost of whole QSS system. When the amount of secret messages is large and the number of agents is more, the performance of our protocol is much better than the Zhang–Man protocol. The authors also proposed a reuse scheme, after the secret message had been deduced, the left qubits can be reused for a new round. All of the scheme the authors mentioned above could be extended to multiparty cases in practice.
Classical secret sharing proposed by Shamir used classical computational power in classical cryptography to achieve secret key sharing, but with the advent of quantum systems, computational power can be overruled. To ensure a secure secret sharing scheme independent of computational power, a scheme independent of computational complexity is needed to achieve security. This paper will provide a protocol dependent on inherent secure nature of quantum cryptography (quantum no cloning theorem and quantum measurement rule). A secure multiparty quantum secret sharing scheme has been proposed to ensure that no one can eavesdrop or extract any share of the secret message via inherent security provided by quantum entanglement swapping and quantum teleportation. Entanglement swapping is a process that allows two non-interacting quantum systems to be entangled. Whereas, Quantum teleportation allows a party to send a qubit to another entangled party without sending the qubit over the channel. Moreover, in order to ensure security against possible active attacks, sender himself will generate and distribute EPR pairs to be used in the scheme. Result will be a secure multiparty QSS scheme which will be secure against internal and external eavesdropping, masquerading and brute-force attacks.