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IEEE International Conference on Quantum Computing and Engineering (QCE)

Enhanced Quantum Secret Sharing with Reduced Resource Consumption through GHZ Entanglement

Shu–Yu Kuo, Chia‐Lin Liu, Yu-Chi Jiang, Yao–Hsin Chou, Sy‐Yen Kuo

Published Sep 15, 2024• 1 citation
Publisher

Abstract

Quantum secret sharing (QSS) is a crucial quantum cryptographic method that provides unconditional secu-rity through the principles of quantum mechanics and enables practical applications in information security and distributed computing. Many QSS protocols have been proposed based on various quantum properties and operations. In this study, we propose a new and efficient multiparty quantum secret sharing protocol that utilizes entanglement swapping with the Greenberger-Horne-Zeilinger (GHZ) state and introduces a novel structure to efficiently and securely distribute and recover secrets. Due to entanglement swapping, participants can entangle systems without directly interacting with each other, enhancing practical usage. Through GHZ entanglement swapping, initial particle states cannot be directly inferred. The proposed QSS protocol leverages this property to encode information among participants. To decode the secret, participants only require measuring particles on a GHZ basis to get the corresponding information without performing operations. Through security analysis, it is shown that any eavesdropper or dishonest participant will be detected. Efficiency analysis indicates that the proposed protocol substantially reduces costs and significantly enhances efficiency. As the number of participants increases, the resource consumption of the proposed protocol becomes much lower than that of other QSS protocols. In summary, the proposed protocol efficiently achieves unconditional security in QSS, ensuring the secure transmission and sharing of quantum information.

DOI
10.1109/qce60285.2024.10311

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Quantum secret sharing (QSS) is a crucial quantum cryptographic method that provides unconditional secu-rity through the principles of quantum mechanics and enables practical applications in information security and distributed computing. Many QSS protocols have been proposed based on various quantum properties and operations. In this study, we propose a new and efficient multiparty quantum secret sharing protocol that utilizes entanglement swapping with the Greenberger-Horne-Zeilinger (GHZ) state and introduces a novel structure to efficiently and securely distribute and recover secrets. Due to entanglement swapping, participants can entangle systems without directly interacting with each other, enhancing practical usage. Through GHZ entanglement swapping, initial particle states cannot be directly inferred. The proposed QSS protocol leverages this property to encode information among participants. To decode the secret, participants only require measuring particles on a GHZ basis to get the corresponding information without performing operations. Through security analysis, it is shown that any eavesdropper or dishonest participant will be detected. Efficiency analysis indicates that the proposed protocol substantially reduces costs and significantly enhances efficiency. As the number of participants increases, the resource consumption of the proposed protocol becomes much lower than that of other QSS protocols. In summary, the proposed protocol efficiently achieves unconditional security in QSS, ensuring the secure transmission and sharing of quantum information.
Abstract At present, most quantum secret sharing (QSS) protocols are more or less designed with the incorporation of classical secret sharing schemes. With the increasing maturity of quantum technology, QSS protocols based on pure quantum mechanics are becoming more important. Classical secret sharing schemes cannot achieve absolute security, and their involvement can compromise the security of QSS protocols. This paper proposes a QSS scheme based on Greenberger–Horn–Zeilinger (GHZ) basis measurement and quantum entanglement exchange. In this protocol, the secret sender stores the secret information using Pauli operations. Participants obtain their shares by measuring the product state sequentially. Finally, participants complete the secret reconstruction through quantum entanglement exchange and other related quantum operations. In addition, the particles held by participants in the protocol do not contain any secret information. Each participant’s particles are in a state of maximum entanglement, and no participant can deduce the particle information of other participants through their own particles. At the same time, the protocol is based on pure quantum mechanics and does not involve classical schemes, which avoids the problem of reduced security of the protocol. Security analysis indicates that the protocol is not vulnerable to retransmission interception and collusion attacks. Moreover, it is capable of detecting and terminating the protocol promptly when facing with attacks from dishonest participants.
Quantum secret sharing (QSS) is a typical multipartite cryptographic primitive, which is an important part of quantum communication network. Existing QSS protocols generally require basis matching, which would waste the precious quantum resource and increase the classical communication round. Moreover, the basis selection makes QSS face weak random security vulnerabilities. We propose an efficient QSS protocol without the basis matching. In the protocol, the dealer and partners share a polarization-momentum hyperentangled Greenberger-Horne-Zeilinger (GHZ) state and encode keys in the polarization degree of freedom (DOF). The dealer decodes the transmitted keys relying on the nonlocal hyperentanglement-assisted polarization GHZ state analysis. Our QSS protocol is unconditionally secure in theory. We develop simulation method to estimate its performance in practical environment. Our protocol has three advantages. First, it does not require the basis matching and can completely distinguish eight encoded polarization GHZ states, which increases the utilization rate of entanglement resources to 100 % and increases the key generation rate by an order of magnitude. Second, it only requires one round of classical communication, and thus reduces the key generation time by 69.4 % . Third, it can eliminate the weak random security vulnerabilities associated with the basis selection and enhance QSS’s practical security. Meanwhile, our protocol only uses linear optical elements, which makes it practically feasible. Our QSS protocol has application potential in the future quantum communication network.
Quantum secret sharing (QSS) is a typical multipartite cryptographic primitive, which is an important part of quantum communication network. Existing QSS protocols generally require basis selection and matching, which would increase the quantum resource consumption and classical communication round, and also face weak random security vulnerabilities. We propose an efficient hyperentanglement-based QSS protocol without the basis selection, in which the dealer and partners share a polarization-momentum hyperentangled Greenberger-Horne-Zeilinger (GHZ) state and encode keys in the polarization degree of freedom (DOF). The dealer decodes the transmitted keys relying on the nonlocal hyperentanglement-assisted polarization GHZ state analysis. Our QSS protocol is unconditionally secure in theory. We develop simulation method to estimate its performance in practical environment. Compared with the QSS based on the GHZ state, our protocol has several advantages. First, it does not require basis selection and can completely distinguish eight polarization GHZ states, which can improve the utilization rate of entanglement resources to 100%\%% and increase the key generation rate by an order of magnitude. Second, it only requires one round of classical communication, and thus can reduce key generation time by 69.4%\%%. Third, it can eliminate the weak random security vulnerabilities associated with the basis selection. Finally, our protocol only uses linear optical elements, which makes it practically feasible. Our QSS protocol has potential application in future quantum communication network.
In this paper, we propose an efficient multi-party quantum secret sharing scheme based on GHZ entangled state. The participants in this scheme are divided into two groups, and share secrets as a group. There is no need to exchange any measurement information between the two groups, reducing the security problems caused by the communication process. Each participant holds one particle from each GHZ state; it can be found that the particles of each GHZ state are related after measuring them, and the eavesdropping detection can detect external attacks based on this characteristic. Furthermore, since the participants within the two groups encode the measured particles, they can recover the same secrets. Security analysis shows that the protocol can resist the intercept-and-resend attack and entanglement measurement attack, and the simulation results show that the probability of an external attacker being detected is proportional to the amount of information he can obtain. Compared with the existing protocols, this proposed protocol is more secure, has less quantum resources and is more practical.
A new multiparty measurement-device-independent quantum secret sharing (MDI-QSS) protocol is proposed based on entanglement swapping. All the measurement tasks are delegated to an untrusted party, eliminating all detector-side-channel loopholes. Only Einstein–Podolsky–Rosen (EPR) pairs, single photons and Bell-state measurements are required irrespective of the number of participants. Compared with existing MDI-QSS protocols, no additional unitary operations or Greenberger–Horne–Zeilinger (GHZ)-state measurements are needed. Our protocol is feasible experimentally and holds inspiring potential for the application in practical multiparty quantum communication networks.
Abstract Quantum secret sharing enables participants to share secrets grounded in the principles of quantum mechanics, ensuring the secrets recovery solely through collaborative efforts within an authorized subset of participants. Quantum anonymous secret sharing fulfills the fundamental requirements of quantum secret sharing while also ensuring the anonymity of the secret receivers. In order to address the turnover of personnel in practical scenarios, this paper propose a secure dynamic quantum anonymous secret sharing protocol utilizing Greenberger-Horne-Zeilinger states. In our scheme, on the premise of not reveal the identities of participants, the dynamic update of the participants can be realized, and the shared secret will not be altered. Furthermore, an identity authentication mechanism using single particles is introduced in this protocol, ensuring that only authenticated participants can engage in the sharing process. The proposed protocol is secure and can resist both internal and external attacks. Experimental validation conducted on the IBM quantum computing platform demonstrates the feasibility of our scheme.