Semi-Quantum Proxy Signature Scheme with Quantum Walk-Based Teleportation
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Semi-Quantum Proxy Signature Scheme with Quantum Walk-Based Teleportation Tao Zheng 1
1
1
& Yan Chang & Lili Yan & Shi-Bin Zhang
1
Received: 1 March 2020 / Accepted: 4 August 2020/ # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
Quantum secure communication network is in the stage of rapid construction. As classical networks, we researchers also need to develop different practical quantum protocols for different application scenarios in quantum communication network. However, complex quantum operations and expensive quantum resource preparation seriously hinder the practical development of quantum communication networks. A variety of quantum signature protocols play an important role in quantum communications; however, these protocols also face the same problems described above. In this paper, we propose a semiquantum proxy signature scheme with quantum walk-based teleportation to solve these problems. Proxy signer TP as the quantum participant and original signer Alice is the classical participant. We introduce quantum walk teleportation to generate quantum entanglement resource naturally in signature phase, which seems more in line with the reality of quantum communication networks. Security analysis show that this scheme meets all the security requirement of quantum proxy signature protocol, and the qubit efficiency analysis also proves this protocol has better practical value. Keywords Semi-quantum . Proxy signature . Quantum walk . Quantum communication network
1 Introduction Quantum communication network (QCN) has developed rapidly currently, and it enters into the practical stage gradually. In 1997, Townsend studied the multiparty quantum communication system [1] which pioneered the field of QCN research. In 2003, Brassard proposed a quantum key distribution network (QKD-N) based on fiber by using the Wavelength division multiplexing
* Shi-Bin Zhang [email protected] Tao Zheng [email protected]
1
School of Cybersecurity, Chengdu University of Information Technology, Chengdu 610225 Sichuan, China
International Journal of Theoretical Physics
(WDM) technology [2]. Recently, scholars introduced a method of implementation of quantum key distribution network simulation module [3] in the network simulator ns-3. Yuan et al. [4] proposed the 10-mb/s quantum key distribution scheme, which accelerated the realization of quantum communication network. According to different application scenarios, scholars have proposed a large number of quantum information schemes, such as quantum teleportation (QT) [5–7], quantum private query (QPQ) [8–10] and quantum signature (QS) [11–17]. Since Diffie and Hellman [11] proposed the first digital signature (DS) scheme, DS plays a critical role in electronic voting and paying system. In 2001, Gottesman and Chuang [12] proposed the first QS scheme based on quantum one-way function. Zeng et al. proposed an arbitrated quantum signature (AQS) scheme with GHZ states in 2002 [13]. Trusted arbitrator helps receiver to verify the signature in AQS
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