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Advances in Engineering Technology Research

A Universal N-Party Quantum Key Agreement Based on Bell states and Pauli Operations

Bingling Wang, Wei Gao, Mengyan Li, Chaonan Wang

Published Mar 31, 2026• 0 citations
Publisher

Abstract

Using quantum entanglement resource Bell states and Pauli operations, a universal N-party quantum key agreement protocol is proposed. Pauli operations are performed on part of the Bell state sequence to pass the private key, and the entanglement characteristics of different Bell states are used to realize N-party quantum key agreement. In the N-party quantum key agreement, each participant obtains the XOR secret keys of all participants based on the Bell measurement. Compared with other multi-party quantum key agreement protocols, the proposed N-party quantum key agreement has a feasible qubit efficiency of 1/2N.

DOI
10.56028/aetr.16.1.1088.2026

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Using quantum entanglement resource Bell states and Pauli operations, a universal N-party quantum key agreement protocol is proposed. Pauli operations are performed on part of the Bell state sequence to pass the private key, and the entanglement characteristics of different Bell states are used to realize N-party quantum key agreement. In the N-party quantum key agreement, each participant obtains the XOR secret keys of all participants based on the Bell measurement. Compared with other multi-party quantum key agreement protocols, the proposed N-party quantum key agreement has a feasible qubit efficiency of 1/2N.
Although there are many quantum key agreement protocols currently in existence, they cannot be merged in terms of resource utilisation, efficiency, security, and other aspects, and there are also significant differences in the nature of two and more parties. Therefore, it is necessary to design a quantum key agreement protocol that can balance efficiency and security and is suitable for multiple participants. In view of this, this paper proposes a multi-party quantum key agreement protocol based on a new coding mode of bell state: temporary session keys are negotiated between adjacent participants, and then shared keys for all participants are negotiated through the exchange, conversion, and computation of quantum resources. During the implementation of the protocol, not only can the identity of the participants be authenticated, but also the quantum resources used are single, and the quantum operations performed are simple. Moreover, efficiency is fixed and does not decrease due to the increase of participants or quantum resources. In addition, the protocol also allows participants to dynamically join and leave. In terms of security, the protocol can resist most common quantum attacks. Under the existing quantum technology, this protocol is completely feasible.
Although there are many quantum key agreement protocols currently in existence, they cannot be merged in terms of resource utilisation, efficiency, security, and other aspects, and there are also significant differences in the nature of two and more parties. Therefore, it is necessary to design a quantum key agreement protocol that can balance efficiency and security and is suitable for multiple participants. In view of this, this paper proposes a multi-party quantum key agreement protocol based on a new coding mode of bell state: temporary session keys are negotiated between adjacent participants, and then shared keys for all participants are negotiated through the exchange, conversion, and computation of quantum resources. During the implementation of the protocol, not only can the identity of the participants be authenticated, but also the quantum resources used are single, and the quantum operations performed are simple. Moreover, efficiency is fixed and does not decrease due to the increase of participants or quantum resources. In addition, the protocol also allows participants to dynamically join and leave. In terms of security, the protocol can resist most common quantum attacks. Under the existing quantum technology, this protocol is completely feasible.
Abstract Multi-party quantum key agreement protocols with traveling mode have attracted much attention due to their higher efficiency than protocols with distributing mode. Nevertheless, the structures with traveling mode are generally vulnerable to internal participants, i.e. collusive attack. In order to resist collusive attack, a multi-party quantum key agreement protocol based on nonorthogonal quantum pairs, bell states and their dualities, is proposed. In this paper, we propose the idea of mixed dense encoding on the Pauli operations and the Hadamard operation. The private key sequence of each participant is encoded into a sequence consisting of those single-particle unitary operations which will be performed on the nonorthogonal quantum pairs. In the end, all participants can extract the target common key by comparing the initial states with the final states of the nonorthogonal quantum pairs. The proposed structure has three considerable advantages. Firstly, thanks to the use of nonorthogonal quantum pairs and mixed encoding, the proposed protocol can resist collusive attack from internal participants efficiently. Secondly, the efficiency has been greatly improved. Furthermore, due to the fact that only quantum pairs and simple single-particle unitary transformations are used, the processions of the proposed protocols are simple and can be easily realized in current technology.
In this paper, we propose one new quantum key agreement (QKA) protocol using non-maximally entangled Bell states with positive operator-valued measurement (POVM). It is designed for multi-party QKA by non-maximally entangled Bell states with POVM. Since Bell states and single particle can be obtained by various physical systems, thus, our protocol is feasible based on the current technology. It is secure against the outsider and participant attack. Further, it is shown that the shared key is decided by all participants. Therefore, it could guarantee the security and fairness.
Abstract:In order to solve the problem that the multi-particle joint measurements are difficult to implement with the existing technology in the quantum key agreement protocols based on multi-particle entangled states , a new two-party quantum key agreement protocol was proposed based on three-particle GHZ states. Two participants in the protocol could fairly establish a shared secret key by using the measurement correlation property of three-particle GHZ states and the delayed measurement technique. Since the new protocol only used Bell measurements and single particle measurements, it was easy to achieve on the basis of the existing technology. The security analysis showed that the protocol could not only resist against participant attacks and outsider attacks, but also resist against two kinds of Trojan horse attacks. The protocol was secure not only in the noise-free quantum channel but also in the quantum noise channel. Finally, the comparison with the existed secure two-party protocols showed that the protocol also achieved higher qubit efficiency.
In this study, we propose a single-state multi-party quantum key agreement (MQKA) protocol with single-particle measurement. Firstly, a single-state three-party quantum key agreement protocol with single-particle measurement is introduced, followed by a security analysis that validated its capability to resist potential internal and external attacks. Furthermore, we utilize multi-particle entangled states to present a multi-party version of the single-state multi-party quantum key agreement with single-particle measurement. In comparison to previous MQKA protocols, our approach presents the following advantages: it employs one kind of multi-particle entangled state as the quantum resource; eliminates the need for entanglement swapping techniques, unitary operations, or pre-shared keys between participants; uses only the X measurement basis and Z measurement basis; transmits fewer qubits; consumes fewer qubits; and has higher qubit efficiency.