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Information Security and Cryptology

Authenticated Quantum Secret Sharing using GHZ state swapping

Duk-Jin Lee, Hwa-Yean Lee, Changho Hong, Jongin Lim, Hyoung-Jin Yang

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

We propose a quantum secret sharing protocol which can authenticate more than half of members using GHZ state swapping. The Trusted Third Party, Trent can authenticate all members using previously shared ID among Trent distributing his message and the members wanting to reconstruct the message. Authenticated members can reconstruct a secret message through GHZ swapping. Moreover, this protocol is efficient to expand the number of members to arbitrary number n, so it is a close quantum secret sharing protocol to classical secret sharing protocol.

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We propose a quantum secret sharing protocol which can authenticate more than half of members using GHZ state swapping. The Trusted Third Party, Trent can authenticate all members using previously shared ID among Trent distributing his message and the members wanting to reconstruct the message. Authenticated members can reconstruct a secret message through GHZ swapping. Moreover, this protocol is efficient to expand the number of members to arbitrary number n, so it is a close quantum secret sharing protocol to classical secret sharing protocol.
In this paper we propose a new protocol for multiparty secret key sharing by using quantum entanglement swapping. Quantum Entanglement swapping is a process that allows two non-interacting quantum systems to be entangled. Further, to increase the security level and to make sure that the users are legitimate, authentication for both parties will be required by a trusted third party. In this protocol, a trusted third party will authenticate the sender and the receiver and help them forming a secret key. Furthermore, the proposed protocol will perform entanglement swapping between the sender and the receiver. The result from the entanglement swapping will be an Einstein-Podolsky-Rosen (EPR) pair that will help them in forming and sending the secret key without having the sender to send any physical quantum states to the receiver. This protocol will provide the required authentication of all parties to the trusted party and it will provide the required secure method in transmitting the secret key.
In this paper we propose a new protocol for multiparty secret key sharing by using quantum entanglement swapping.Quantum Entanglement swapping is a process that allows two non-interacting quantum systems to be entangled.Further, to increase the security level and to make sure that the users are legitimate, authentication for both parties will be required by a trusted third party.In this protocol, a trusted third party will authenticate the sender and the receiver and help them forming a secret key.Furthermore, the proposed protocol will perform entanglement swapping between the sender and the receiver.The result from the entanglement swapping will be an Einstein-Podolsky-Rosen (EPR) pair that will help them in forming and sending the secret key without having the sender to send any physical quantum states to the receiver.This protocol will provide the required authentication of all parties to the trusted party and it will provide the required secure method in transmitting the secret key.
Utilizing the advantage of Bell state,a multiparty quantum secret sharing protocol with authentication is put forward.In the protocol,the deal encodes two classical bits of secret message on the quantum carrier though performing local unitary operation.He splits the secret message into n shares and then distributes them to n agents via entanglement swapping.Each agent makes a Bell state measurement on the particles in his hand,and obtains his piece of secret according to the measurement result.In the process of reconstruction,these n agents declare respectively their pieces of secret,and recover the secret message if and only if they collaborate.At the same time,combining the technology of Hash function,the identities of the deal and the agents are authenticated.Hence,one main goal of designing the presented protocol,two-way authentication,is achieved.Moreover,we analyze the security and authentication of the presented protocol in detail.It is shown that this protocol can stand against the attacks of outside eavesdropper and inside participant,which means that it is secure in theory.In addition,since the Bell state was used at most,as compared with other quantum secret sharing protocols,the implementation of the presented protocol is more feasible in the current technical conditions.
The work presents a novel quantum secret sharing strategy based on GHZ product state sharing between three parties. The dealer, based on the classical information to be shared, toggles his qubit and shares the product state. The other parties make their Bell measurements and collude to reconstruct the secret. Unlike the other protocols, this protocol does not involve the entire initial state reconstruction, rather uses selective qubits to discard the redundant qubits at the time of reconstruction to decrypt the secret. The protocol also allows for security against malicious attacks by an adversary without affecting the integrity of the secret. The security of the protocol lies in the fact that each party's correct announcement of their measurement is required for reconstruction, failing which the reconstruction process is jeopardized, thereby ascertaining the (3,3)(3,3)(3,3) scheme which can further be extended for a (n,n)(n,n)(n,n) scheme.
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.