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Physica Scripta

Authenticated quantum secret sharing with quantum dialogue based on Bell states

Hussein Abulkasim, Safwat H. Hamad, Khalid El Bahnasy, Saad Zagloul Rida

Published Jul 12, 2016• 41 citations
Publisher

Abstract

Abstract This work proposes a scheme that combines the advantages of a quantum secret sharing procedure and quantum dialogue. The proposed scheme enables the participants to simultaneously make mutual identity authentications, in a simulated scenario where the boss, Alice, shares a secret with her two agents Bob and Charlie. The secret is protected by checking photons to keep untrustworthy agents and outer attacks from getting useful information. Before the two agents cooperate to recover Alice’s secret, they must authenticate their identity using parts of a pre-shared key. In addition, the whole pre-shared key is reused as part of recovering the secret data to avoid any leaks of information. In comparison with previous schemes, the proposed method can efficiently detect eavesdropping and it is free from information leaks. Furthermore, the proposed scheme proved to be secure against man-in-the-middle attacks, impersonation attacks, entangled-and-measure attacks, participant attacks, modification attacks and Trojan-horse attacks.

DOI
10.1088/0031-8949/91/8/085101

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Abstract This work proposes a scheme that combines the advantages of a quantum secret sharing procedure and quantum dialogue. The proposed scheme enables the participants to simultaneously make mutual identity authentications, in a simulated scenario where the boss, Alice, shares a secret with her two agents Bob and Charlie. The secret is protected by checking photons to keep untrustworthy agents and outer attacks from getting useful information. Before the two agents cooperate to recover Alice’s secret, they must authenticate their identity using parts of a pre-shared key. In addition, the whole pre-shared key is reused as part of recovering the secret data to avoid any leaks of information. In comparison with previous schemes, the proposed method can efficiently detect eavesdropping and it is free from information leaks. Furthermore, the proposed scheme proved to be secure against man-in-the-middle attacks, impersonation attacks, entangled-and-measure attacks, participant attacks, modification attacks and Trojan-horse attacks.
Quantum secret sharing techniques allow two parties or more to securely share a key, while the same number of parties or less can efficiently deduce the secret key. In this paper, we propose an authenticated quantum secret sharing protocol, where a quantum dialogue protocol is adopted to authenticate the identity of the parties. The participants simultaneously authenticate the identity of each other based on parts of a prior shared key. Moreover, the whole prior shared key can be reused for deducing the secret data. Although the proposed scheme does not significantly improve the efficiency performance, it is more secure compared to some existing quantum secret sharing scheme due to the identity authentication process. In addition, the proposed scheme can stand against participant attack, man-in-the-middle attack, impersonation attack, Trojan-horse attack as well as information leaks.
A lot of authenticated quantum dialogue protocols are springing up. Many of them have the problem of information leakage, or suffer from Man-In-The-Middle attack. Some protocols can guarantee security, but have relatively low efficiency. Based on the above situation, we present a novel authenticated quantum dialogue protocol by using Bell states and entanglement swapping. In this protocol, we adopt Einstein-Podolsky-Rosen (EPR) pairs to detect eavesdropping and transmit secret messages. We employ polarized photons to achieve authentication of users' identity information. Compared with other quantum dialogue schemes with authentication, our protocol has several advantages. The transmitted particles are passed once and do not carry any secret messages. The proposed protocol can overcome the drawback of information leakage and resist against typical attacks. The efficiency is acceptable.
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.
In order to avoid the risk of information leakage during the information mutual transmission between two authorized participants, i.e. Alice and Bob, a quantum dialogue protocol based on the entanglement swapping between any two Bell states and the shared secret Bell state is proposed. The proposed protocol integrates the ideas of block transmission, two-step transmission and unitary operation encoding together using the Bell states as the information carriers. Besides the entanglement swapping between any two Bell states, a shared secret Bell state is also used to overcome the information leakage problem, which not only makes Bob aware of the prepared initial state but also is used for Bob's encoding and entanglement swapping. Security analysis shows that the proposed protocol can resist the general active attacks from an outside eavesdropper Eve. Moreover, the relation between the maximal amount of information Eve can gain and the detection probability is derived.
Unconditional security in Quantum Key Distribution (QKD) relies on authenticating the identities of users involved in key distribution. While classical identity authentication schemes were initially utilized in QKD implementations, concerns regarding their vulnerability have prompted the exploration of Quantum Identity Authentication (QIA) protocols. In this study, we introduce a new protocol for QIA, derived from the concept of controlled secure direct quantum communication. Our proposed scheme facilitates simultaneous authentication between two users, Alice and Bob, leveraging Bell states with the assistance of a third party, Charlie. Through rigorous security analysis, we demonstrate that the proposed protocol withstands various known attacks, including impersonation, intercept and resend and impersonated fraudulent attacks. Additionally, we establish the relevance of the proposed protocol by comparing it with the existing protocols of similar type.
Based on mutual authentication and dense coding, a novel revised efficient quantum direct communication scheme is proposed. It is composed of two phases: the quantum state distribution process and the direct communication process. The purpose of the former is to authenticate Trent and users to each other, and let the two legitimate users (Alice and Bob) safely share the Bell states. While the latter aims to make direct communication to transmit a secret message between Alice and Bob. In order to prevent from Eve's eavesdropping as well as to authenticate each other simultaneously, a decoy photon checking technique is applied. Compared with other analogous protocols, the quantum state distribution process is more simple and feasible and the proposed scheme is more efficient; i.e., the total efficiency is almost 100%. Security analysis shows that the proposed scheme is secure against the eavesdropping attacks, the impersonation attacks, and some special Trent's attacks, including the attacks by using different initial states.