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Iranian Conference on Electrical Engineering

An efficient quantum secret sharing using secure direct communication

Mahsa Khorrampanah, Monireh Houshmand

Published May 1, 2013• 10 citations
Publisher

Abstract

Inspired by quantum secure direct communication, a three-party quantum secret sharing approach is proposed. In the preparation phase, the sender shares a GHZ state among users. After she ensures about the security of the channel, she generates an auxiliary GHZ state and keeps it. Then she encodes three-bit information on the GHZ states, by applying the appropriate gates on her qubits. In the decoding phase, the three parties measure their qubits. The receivers achieve no information on the encoded message individually and just when they know the others' measurement results have access to the secret message. The security of the preparation phase against various attacks is investigated. Since no qubits carrying the message are transmitted, the protocol is completely secure, if the perfect quantum channel is used. The proposed approach has a better efficiency as compared to the previous ones.

DOI
10.1109/iraniancee.2013.6599595

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Inspired by quantum secure direct communication, a three-party quantum secret sharing approach is proposed. In the preparation phase, the sender shares a GHZ state among users. After she ensures about the security of the channel, she generates an auxiliary GHZ state and keeps it. Then she encodes three-bit information on the GHZ states, by applying the appropriate gates on her qubits. In the decoding phase, the three parties measure their qubits. The receivers achieve no information on the encoded message individually and just when they know the others' measurement results have access to the secret message. The security of the preparation phase against various attacks is investigated. Since no qubits carrying the message are transmitted, the protocol is completely secure, if the perfect quantum channel is used. The proposed approach has a better efficiency as compared to the previous ones.
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Based on the GHZ-like state, we proposed a new efficient three-party controlled quantum secure direct communication protocol for the sender to send secret information to the receiver with the permission and assistance of the controller. In this scheme, the controller prepares GHZ-like state and performs random unitary operation on the particles, and the sender encodes secret information onto his particles using dense coding and then transmits them though the quantum channel. The receiver can recover the secret information based on the controller's information and the results of the Bell basis measurement. The operations performed by the controller ensure that the receiver cannot obtain any part of the secret information without the permission of the controller. In addition, it is proved that the efficiency of the proposed scheme is higher than the existing protocols by comparison.
Using entanglement swapping, a quantum secret sharing protocol is proposed. After sharing three-EPR among users, for encoding the message, the sender prepares an auxiliary EPR pair and by operating defined Pauli operations, she transmits six-bit message to her two agents. Since using entanglement swapping, no qubits carrying message are transmitted. So, if the perfect quantum channel is used, the protocol is unconditional secure. In addition, this protocol enhances the efficiency of Zhang-Man and Chou et al. protocols and with the comparison of previous works has better performance.
A three-users quantum secret sharing procedure by means of secure direct communication is proposed. The procedure is an improved version of Wang et al.’s in terms of efficiency. The improvement is achieved by introducing a new concept of "encoded classical bits" in the decoding phase. Using the proposed protocol, treble amount of message at a time is transmitted instead of doing J. Wang et al.’s protocol thrice. No qubit is transferred to send the message. Because of using quantum network in this communication, the procedure is fully safe.
In this paper, we propose an efficient multi-party quantum secret sharing scheme based on GHZ entangled state. The participants in this scheme are divided into two groups, and share secrets as a group. There is no need to exchange any measurement information between the two groups, reducing the security problems caused by the communication process. Each participant holds one particle from each GHZ state; it can be found that the particles of each GHZ state are related after measuring them, and the eavesdropping detection can detect external attacks based on this characteristic. Furthermore, since the participants within the two groups encode the measured particles, they can recover the same secrets. Security analysis shows that the protocol can resist the intercept-and-resend attack and entanglement measurement attack, and the simulation results show that the probability of an external attacker being detected is proportional to the amount of information he can obtain. Compared with the existing protocols, this proposed protocol is more secure, has less quantum resources and is more practical.