A New Hybrid Protocol that Simultaneously Achieves Quantum Multiparty Summation and Ranking

Secure multiparty quantum summation, as a critical part of secure multiparty quantum computation, plays a pivotal role in the field of quantum cryptography. In this paper, a hybrid protocol is proposed to implement secure multiparty quantum summation and anonymous ranking simultaneously, which uses $d$-level two-particle entangled states. In the designed protocol, the particles are conveyed in the way of the circle-type transmission mode, which can compute the sum of the secret and the ranking by analyzing the distribution of participants associated with different secret values. Moreover, random number sequences can be obtained by constructing a fundamental system of solutions, which avoids the transmission of random numbers and reduces the use of quantum resources. According to the analysis, it can be seen that the protocol is secure against known attacks, and the secrets remain undisclosed throughout the protocol's implementation.