Design Of Multi-party Quantum Secure Computing Protocol Based On Locally Indistinguishable Orthogonal Direct Product State

Quantum secure computation is an important research direction of quantum cryptography,which can perform users computation while ensuring the security of users’ private data,has gained the attention of many researchers.Most of the current quantum secure computation protocols are based on entangled states to ensure the security of the protocols,however,the defect that entangled states are difficult to prepare greatly reduces the practicality of the protocols.In this thesis,two new protocols based on local indistinguishable orthogonal product states are proposed for two types of quantum secure computation scenarios: quantum secret sharing and quantum secure summation.The details of the research and main contributions are as follows.Quantum secret sharing(QSS)is an important prerequisite for quantum secure computation and an important aspect of generalized quantum secure computation.In this thesis,we design a new QSS protocol for quantum networks using local indistinguishable orthogonal product(LIOP)states to achieve secret sharing between a secret sending node and dishonest receiving nodes.The analysis shows that the protocol can resist attacks such as information leakage and forgery.Also the nature of LIOP states and the application of rearrangement operations improve the actual availability of QSS protocols.Quantum secure summation protocol is a special quantum secure computation protocol and an important foundation of research to achieve quantum secure computation.In this thesis,we propose a new multi-party quantum secure summation protocol using LIOP states to achieve summation without revealing the secrets of participants.The analysis shows that the protocol can resist both individual and collusive attacks.