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International Forum on Information Technology and Applications

Three-Party Quantum Secret Sharing Based on Secure Direct Communication

Liu Yanyan, Cheng-Qian Xu

Published May 1, 2009• 8 citations
Publisher

Abstract

Inspired by quantum secure direct communication and quantum dense coding, we present a three-party quantum secret sharing (QSS) scheme by quantum teleportation. After performing the rectilinear basis or diagonal basis measurement randomly for the eavesdropping check to ensure the security of the quantum channel, the sender encodes the secret messages directly on a series of Einstein-Podolsky-Rosen (EPR) pairs and transmits them to the receivers by quantum teleportation. Neither of the receivers can decode the secret messages on his own even if they collaborate. Only the two receivers combine their measurement results with the sender's result, can they recover the secret messages. In this scheme, one qubit can encode two bits of classical information because quantum dense coding is introduced. Using quantum teleportation, the distinct advantage of this scheme is that there is not the transmission of qubits carrying the secret messages in the quantum channel, it is absolutely secure for QSS if a perfect channel is used.

DOI
10.1109/ifita.2009.501

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Inspired by quantum secure direct communication and quantum dense coding, we present a three-party quantum secret sharing (QSS) scheme by quantum teleportation. After performing the rectilinear basis or diagonal basis measurement randomly for the eavesdropping check to ensure the security of the quantum channel, the sender encodes the secret messages directly on a series of Einstein-Podolsky-Rosen (EPR) pairs and transmits them to the receivers by quantum teleportation. Neither of the receivers can decode the secret messages on his own even if they collaborate. Only the two receivers combine their measurement results with the sender's result, can they recover the secret messages. In this scheme, one qubit can encode two bits of classical information because quantum dense coding is introduced. Using quantum teleportation, the distinct advantage of this scheme is that there is not the transmission of qubits carrying the secret messages in the quantum channel, it is absolutely secure for QSS if a perfect channel is used.
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.
We present an ( n , n ) threshold quantum secret sharing scheme of secure direct communication using Greenberger–Horne–Zeilinger state and teleportation. After ensuring the security of the quantum channel, the sender encodes the secret message directly on a sequence of particle states and transmits it to the receivers by teleportation. The receivers can recover the secret message by combining their measurement results with the sender's result. If a perfect quantum channel is used, our scheme is completely secure because the transmitting particle sequence does not carry the secret message. We also show our scheme is secure for noise quantum channel.
We present a quantum secure direct communication scheme achieved by swapping quantum entanglement. In this scheme a set of ordered Einstein-Podolsky-Rosen (EPR) pairs is used as a quantum information channel for sending secret messages directly. After insuring the safety of the quantum channel, the sender Alice encodes the secret messages directly by applying a series local operations on her particles sequence according to their stipulation. Using three EPR pairs, three bits of secret classical information can be faithfully transmitted from Alice to remote Bob without revealing any information to a potential eavesdropper. By both Alice and Bob's GHZ state measurement results, Bob is able to read out the encoded secret messages directly. The protocol is completely secure if perfect quantum channel is used, because there is not a transmission of the qubits carrying the secret message between Alice and Bob in the public channel.
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.
We present a quantum secure direct communication scheme achieved by swapping quantum entanglement. In this scheme a set of ordered Einstein-Podolsky-Rosen (EPR) pairs is used as a quantum information channel for sending secret messages directly. After insuring the safety of the quantum channel, the sender Alice encodes the secret messages directly by applying a series local operations on her particle sequences according to their stipulation. Using three EPR pairs, three bits of secret classical information can be faithfully transmitted from Alice to remote Bob without revealing any information to a potential eavesdropper. By both Alice and Bob's GHZ state measurement results, Bob is able to read out the encoded secret messages directly. The protocol is completely secure if perfect quantum channel is used, because there is not a transmission of the qubits carrying the secret message between Alice and Bob in the public channel.
We present a quantum secure direct communication protocol and a multiparty quantum secret sharing protocol based on Einstein-Podolsky-Rosen pairs and entanglement swapping. The present quantum secure direct communication protocol makes use of the ideal of block transmission. We also point out that the sender can encode his or her secret message without ensuring the security of the quantum channel firstly. In the multiparty quantum secret sharing protocol, the communication parties adopt checking mode or encoding mode with a certain probability. It is not necessary for the protocol to perform local unitary operation. In both the protocols, one party transmits only one photon for each Einstein-Podolsky-Rosen pair to another party and the security for the transmitting photons is ensured by selecting Z-basis or X-basis randomly to measure the sampling photons.