In this article, we first define a primitive problem of secure multiparty computations, i.e., secure multiparty disjunction (SMD), and present a novel quantum protocol for SMD that can ensure information-theoretical security, i.e., unconditional security. Furthermore, based on the quantum SMD protocol, we design a quantum sealed-bid auction (QSA) scheme without an auctioneer. In the proposed QSA scheme, all bidders can jointly find the winning bidder without the help of an auctioneer while it can perfectly protect the privacy of nonwinning bidders. The proposed quantum SMD protocol and quantum QSA scheme take Bell states as quantum resources and only perform single-particle Pauli operators and two-particle Bell measurements. Finally, we simulate the related quantum protocols in Qiskit and verify the correctness and the feasibility of the proposed protocols.
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