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Laser Physics

An identity-verifiable quantum threshold group signature scheme based on three-particle GHZ states

Zhi-Ming Deng, Dianjun Lu, Teng Chen, Weixin Yao

Published Mar 28, 2024• 9 citations
Publisher

Abstract

Abstract With the advancement of the new generation of information technology in recent years, quantum digital signatures have been widely concerned. Among them, quantum threshold group signatures have become a hot research field due to their advantages such as low cost and strong scalability. Therefore, in this paper, we propose an identity-verifiable quantum threshold group signature scheme based on three-particle GHZ states. The characteristics of the scheme are as follows. The signers can reconstruct the key K for signature’s generation and verification by using the Shamir threshold secret sharing scheme. A quantum signature is generated by performing controlled-not operations, von Neumann measurements, and quantum Fourier transform. When the signature is verified, only classical hash values need to be compared, without comparing quantum states. Identity verification is performed between participants by using hash functions. The efficiency of the scheme is improved by using super-dense coding. Security analysis shows that our scheme is unforgeable and undeniable.

DOI
10.1088/1555-6611/ad3434

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Abstract With the advancement of the new generation of information technology in recent years, quantum digital signatures have been widely concerned. Among them, quantum threshold group signatures have become a hot research field due to their advantages such as low cost and strong scalability. Therefore, in this paper, we propose an identity-verifiable quantum threshold group signature scheme based on three-particle GHZ states. The characteristics of the scheme are as follows. The signers can reconstruct the key K for signature’s generation and verification by using the Shamir threshold secret sharing scheme. A quantum signature is generated by performing controlled-not operations, von Neumann measurements, and quantum Fourier transform. When the signature is verified, only classical hash values need to be compared, without comparing quantum states. Identity verification is performed between participants by using hash functions. The efficiency of the scheme is improved by using super-dense coding. Security analysis shows that our scheme is unforgeable and undeniable.
In this paper, we propose a new quantum signature protocol with identity-based threshold multiple verifiers. In this protocol, first, the signature process combines the HMAC hash function with the participant identity to realize the compression encryption of the signature message, at the same time, the signature particles are encoded and generated by selecting the 3-particle GHZ state of the [Formula: see text] spatially localizable distinguished (LOCC), which avoids the complex entanglement operation and effectively improves the signature efficiency; second, it takes at least t verifying members of the set of valid verifications specified by the signer to verify the validity of the final signature, which increases the utility of the signature protocol in multi-verification scenarios; finally, the security analysis shows that the proposed threshold multiparty verifiable quantum signature protocol scheme can resist entanglement measurement attacks, intercept retransmission attacks, and at the same time be unforgeable, nonrepudiable, and traceable. Most importantly, the protocol does not require Quantum One-Way Function (QOWF), Quantum State Swap Test (SWAP), and has no complex entanglement operations. Therefore, the proposed scheme is more efficient than similar multiparty signature protocols.
Abstract Based on the d-dimensional Greenberger–Horne–Zeilinger (GHZ) state, this paper proposes a novel multi-party quantum secret sharing scheme with the characteristics of identity authentication and dual-threshold. In the scheme, the dealer first constructs an asymmetric binary polynomial and decomposes it into two unary polynomials, then divides the participants into two groups, and generates secret shares and corresponding polynomial pairs for each participant. The dealer prepares a three-qudit GHZ state and uses two of them to perform dual-line transmission between the two groups of participants. The participants perform specific unitary transformations on the transmitted particles. Finally, the recovery agent collects and measures the information particles to recover the secret. The scheme uses a hash function and a session key to detect fraudulent behavior and identify specific participants to achieve identity authentication. Security analysis shows that the scheme can effectively resist intercept-resend attacks, entangle-measure attacks, dishonest participant attacks and Trojan horse attacks.
Abstract With the development of cloud computing in recent years, homomorphic signatures have become a research hotspot in modern cryptography. This article proposes a quantum homomorphic signature scheme with verifiable identity based on four-particle Cluster states, starting from the identity verification of the signers. Compared with Shang’s scheme (Shang et al 2015 Quantum Inf. Process. 14 393–410), our scheme uses four-particle Cluster states as quantum channels and achieves identity verification of the signers through the use of X operation and quantum measurement techniques. Meanwhile, our scheme extends the length of message M to 2n bits and uses random numbers during the signature process, which makes the scheme more secure. Security analysis shows that our scheme can ensure the security of the keys and the unforgeability of the signatures.
In recent years, identity-based quantum signature protocols have received much attention due to their unique advantages. Based on Bell states, we propose an efficient identity-based quantum signature scheme. In our scheme, the signer’s private key is generated from their identity information. The signer uses the private key and secret parameters to generate a signature for the verifier. The verifier, who possesses the identity information of the signer, can authenticate the signature. Our proposed scheme ensures signature non-forgeability and non-repudiation. In addition, the protocol does not require the preparation of long-term quantum memory or the performance of quantum swap tests, making it more efficient than previous schemes.
Abstract With the continuous development of quantum technology, researchers are constantly improving the research on quantum signatures. In the public-key cryptosystem, a quantum group signature scheme based on four-particle Cluster states is proposed. In this scheme, the four-particle Cluster states are used as quantum channels. The signer randomly generates his private key according to the public key generated by the group manager, and uses the private key to sign. The verifier uses the public key to verify the signature. The features of the scheme are as follows: the public key and private key can be reused, thus reducing the number of keys that need to be saved by the communication parties; The length of the message to be signed does not need to be the same as the length of the public and private keys, which increases the flexibility of the signature; The random sequence is used in the signature process to ensure the unpredictability of the key, thus improving the security of the scheme; The scheme has unforgeability and non-repudiation.
Abstract With the progress of science and technology, more and more researchers have begun to pay attention to quantum digital signature schemes. Arbitrated quantum signatures have attracted much attention due to their many advantages. This paper presents a multi-verifiable arbitrated quantum signature scheme with information hiding function. In this scheme, the original information and the shared key are hidden in the Bell state, so that any attacker cannot obtain the original information through quantum measurement. In this scheme, multi-verifiers connect end to end to form a ring, and the feasibility of the scheme can be verified if and only if all verifiers participate. Ring verifiers select one of them as the representative. The representative uses the one-way hash function for authentication and indicates the identity to the arbitrator. Therefore the arbitrator does not need to verify the identities of all the verifiers and improves the authentication efficiency. The security analysis shows that the scheme is undeniability, unforgeability and can resistant to intercept-resend attacks, combined attacks and cheating attacks.