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Modern Physics Letters B

Novel multi-party quantum key agreement protocols under collective noise

Jie Tang, Lei Shi, Jiahua Wei, Yang Xue, Huicun Yu

Published Jan 6, 2021• 6 citations
Publisher

Abstract

Based on the logic Bell states, we present two novel multi-party quantum key agreement (QKA) protocols under collective noise. The proposed protocols make full use of four-qubit logic Bell states as quantum resources and perform the novel encoding operation to generate the shared key. The security analysis shows that these two protocols can resist against both participant and outsider attacks. Furthermore, compared with the other existing multi-party QKA protocols over collective noise, our protocols have higher qubit efficiency. Finally, we perform the simulation of the relationship between efficiency and security, which is completely consistent with the conclusion of the security analysis of the protocols.

DOI
10.1142/s0217984921501372

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Based on the logic Bell states, we present two novel multi-party quantum key agreement (QKA) protocols under collective noise. The proposed protocols make full use of four-qubit logic Bell states as quantum resources and perform the novel encoding operation to generate the shared key. The security analysis shows that these two protocols can resist against both participant and outsider attacks. Furthermore, compared with the other existing multi-party QKA protocols over collective noise, our protocols have higher qubit efficiency. Finally, we perform the simulation of the relationship between efficiency and security, which is completely consistent with the conclusion of the security analysis of the protocols.
Abstract Quantum key agreement (QKA) is an important branch of quantum cryptography. Particles are easily affected by noise in quantum channel transmission, which provides a cover for eavesdropper Eve to attack maliciously and eventually leads to the protocol failure. In this paper, based on the properties of four-particle cluster states and their entanglement swapping, two authenticated two-party QKA protocols that can resist collective noise (collective-dephasing noise and collective-rotation noise) by using CZ, CNOT, and Pauli operations are designed, respectively. Besides, both parties can authenticate each other’s identities, which makes our protocol more secure. In addition, security analysis shows that these two protocols can resist various attacks from inside and outside, such as participant attacks and entangle-measure attacks.
Abstract The semi-quantum key agreement (SQKA) is a combination of the ‘semi-quantum’ concept in the quantum key agreement (QKA), which aims to reduce the requirements on the quantum ability of the participants while maintaining the security of the key agreement. In this paper, two novel two-party SQKA protocols based on seven-particle entangled states and delegated quantum centers in the collective noise channels are proposed. In the two SQKA protocols, only the quantum center possesses full quantum capabilities, while other participants have only partial quantum abilities. The classical party, on the other hand, only needs to perform Z-basis measurement on the classical basis. Due to the properties of entangled states, the two SQKA protocols can resist internal and external attacks. Furthermore, this paper provides a comprehensive analysis of the security of the proposed protocols, illustrating their resilience against various forms of attacks such as eavesdropping, intercept-resend attacks, and entangle-measure attacks. The results indicate that both protocols perform well in collective noise channels while maintaining high security even under noisy conditions. Moreover, eavesdropping simulation can detect whether there is eavesdropping behavior in the communication process. Finally, a comparison with existing protocols shows that the two proposed protocols exhibit higher qubit efficiency.
Abstract Quantum key agreement (QKA) constitutes a vital branch of quantum cryptography, referring to the collaborative establishment of a shared key among multiple participants. Among these, the three-party quantum key agreement (TPQKA) represents a specific form of QKA involving only three participants. Quantum states inevitably suffer from noise during transmission through quantum channels, which reduces the efficiency of qubits. To significantly improve the efficiency of qubits and further enhance their reliability in quantum applications, this paper proposes two TPQKA protocols based on seven-particle entangled states to provide protection against collective noise effects. In this paper, IBM Qiskit is employed to present the preparation circuit of the seven-particle entangled state, as well as the quantum circuits under two types of collective noise. In both protocols, the three parties apply a hash function to their own keys. In the particle transmission process, according to the measurement results of the particles, the three parties perform the corresponding unitary operation, and ultimately they equally negotiate the final shared key. Both protocols are robust against collective noise, and their qubit efficiency reaches 19.35%. In addition, the security analysis shows that both protocols are resistant to participant attacks and outside attacks, including intercept-resend attacks and entangle-measure attacks. This paper details the detection method of eavesdropping by eavesdroppers in collective noise through simulation, and finally presents key post-processing.
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 Quantum key agreement (QKA) permits participants to constitute a shared key on a quantum channel, while no participants can independently determine the shared key. However, existing Measurement-device-independent (MDI) protocols cannot resist channel noise, and noise-resistant QKA protocols cannot resist side-channel attacks caused by equipment defects. In this paper, we design a MDI-QKA protocol against collective-dephasing noise based on GHZ states. First, in our protocol, Alice and Bob prepare a certain number of GHZ states respectively, and then send two particles of each GHZ state to Charlie for bell measurement. Results are that Alice and Bob can obtain Bell states through entanglement exchange with the help of dishonest Charlie. Meanwhile ensures the transmission process noise-resisted. Then, Alice and Bob encode their key components to the particle in their hands and construct logical quantum states against collective noise through additional particles and CNOT operation to implement MDI-QKA. Compared with existing MDI-QKA protocols, our protocol uses logical quantum states during particle transfers, which makes the protocol immune to collective‑dephasing noise, and therefore improving the final key rate. Security analysis shows that our protocol can resist common insider and outsider attacks.