Privacy-preserving quantum multi-party computation based on circular structure

Secure multi-party computation (SMC) is a collaborative computation problem that protects privacies among a group of distrustful participants. In this paper, a privacy-preserving quantum multi-party computation scheme based on circular structure is presented. In the scheme, each participant implements a certain quantum operation (i.e., a specific function) on the quantum state, and hands the result state to the next participant. Until the first participant receives the quantum state from the last participant and measures the state to get the result of the data calculation, the circle ends. We also analyze the security and efficiency of the scheme, and demonstrate the possibility of utilizing the scheme to solve some statistical calculation problems.