The Application Research Of Quantum Homomorphic Encryption

Quantum cryptography is an interdisciplinary discipline between quantum mechanics and information science,which has a vast application prospect.One of the important research areas is quantum homomorphic encryption,which enables specific operations on encrypted content without decrypting the ciphertext.Quantum homomorphic encryption can be migrated to many cryptographic scenarios because of its special properties.It can also be extended in the dimension of the protocol.In this paper,we first conduct a study on the antecedent protocols of the series of ternary quantum protocols.After that,combining the expansion of quantum rotation with the framework of quantum public-key protocols,we propose a flexible ternary quantum homomorphic encryption protocol.Based on this,we focus on the application of quantum homomorphic encryption in cryptographic scenarios and propose novel protocols with high security and efficiency in scenarios such as identity authentication,privacy query,and delegated computing.The details of the research work and innovations are as follows:(1)Combining the analysis of the BB84 protocol with the expansion of the Hadamard gate in dimensionality,we propose a ternary quantum key distribution protocol.This protocol enables secure transmission of ternary quantum state keys and can be used as the precursor protocol to the series of ternary protocols.The analysis shows that the protocol has higher security than the BB84.The above research content with details corresponds to Section 3.(2)Combining the expansion of quantum rotation with the framework of quantum publickey protocol,we propose a ternary quantum homomorphic encryption protocol.The analysis shows the flexibility of the protocol in performing encryption,decryption,and evaluation with high security.The above research content with details corresponds to Section 4.(3)We study the migration applications of quantum homomorphic encryption and propose a quantum identity authentication and a quantum privacy query protocol.The proposed identity authentication protocol uses quantum rotation parameters as authentication credentials and is resistant to multiple attacks and performs well in terms of efficiency.The proposed quantum privacy query protocol can accomplish secure and efficient queries in a round of communication and has higher feasibility compared to existing solutions.The above research content with details corresponds to Section 5.(4)Combining quantum homomorphic encryption and blockchain technology,we propose a comprehensive application of multi-party delegation quantum computing protocol.The protocol enables anonymous delegated computing without the need for trusted third parties and balances user data security with identity security.This study is an open framework for scenario application with good generalizability.The above research content with details corresponds to Section 6.Finally,we summarize the full study and provide an outlook on the migration applications of quantum homomorphic encryption in more scenarios.