In this paper, a quantum sealed-bid protocol based on semi-quantum bidders is proposed. The protocol uses Bell states to encrypt message and realizes the process that bidders can directly transmit bidding information to the auction center safely. Its essence is a semi-quantum secure direct communication protocol using Bell states. Unlike most similar protocols, our scheme eliminates the trusted third-party Trent and sets the auction center Charlie as completely honest. Considering that the auction involves human activities, too many quantum servers are not only costly, but also unrealistic. Therefore, we set the bidders as semi-quantum users and implement the Vickrey auction. In addition, the security analysis shows that our scheme has high security and is completely feasible.

本文提出了一种基于半量子投标人的量子密封投标协议。该协议采用贝尔状态对消息进行加密，实现了投标人可以安全地将投标信息直接传输到拍卖中心的过程。其本质是一种使用贝尔态的半量子安全直接通信协议。与大多数类似的协议不同，我们的方案消除了受信任的第三方 Trent，并将拍卖中心 Charlie 设置为完全诚实的。考虑到拍卖涉及人类活动，过多的量子服务器不仅成本高昂，而且不现实。因此，我们将投标人设置为半量子用户并实施 Vickrey 拍卖。此外，安全性分析表明，我们的方案安全性高，完全可行。