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Quantum Information Processing

Secure quantum signature scheme without entangled state

Tianyuan Zhang, Xiangjun Xin, Lei Sun, Chaoyang Li, Fagen Li

Published Feb 6, 2024• 7 citations
Publisher
DOI
10.1007/s11128-024-04257-5

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A digital signature is a mathematical scheme for demonstrating the authenticity of a digital message or document. For signing quantum messages, some arbitrated quantum signature (AQS) schemes have been proposed. It was claimed that these AQS schemes could guarantee unconditional security. However, we show that they can be repudiated by the receiver Bob. To conquer this shortcoming, we construct an AQS scheme using a public board. The AQS scheme not only avoids being disavowed by the receiver but also preserves all merits in the existing schemes. Furthermore, we discover that entanglement is not necessary while all these existing AQS schemes depend on entanglement. Therefore, we present another AQS scheme without utilizing entangled states in the signing phase and the verifying phase. This scheme has three advantages: it does not utilize entangled states and it preserves all merits in the existing schemes; the signature can avoid being disavowed by the receiver; and it provides a higher efficiency in transmission and reduces the complexity of implementation.
Abstract We propose a quantum designated verifier multi- signature (QDVMS) scheme. In this scheme, multiple users can generate a valid signature by simultaneously signing the original message, and the designated verifier holds the exclusive capability to verify the signature’s validity. This scheme applies locally indistinguishable orthogonal product states to generate signatures, simplifying the preparation process in contrast to entangled states. Furthermore, our scheme does not require quantum one- way functions (QOWF), quantum state swapping tests (SWAP), or entangled states, which enhances its practicality and efficiency. Additionally, the absence of a third party (TP) in the entire process enhances the scheme’s security. The security analysis and comparisons with similar schemes indicate that our QDVMS scheme satisfies the security properties of DVS, and achieves information- theoretical security. Moreover, it offers higher efficiency and robust resistance against diverse attacks.