Secure quantum sealed-bid auction with post-confirmation

A new secure quantum auction with post-confirmation is proposed, which is a direct application of the multi-particle super dense coding scheme to the auction problem. In this scheme all bidders use M groups n-particle GHZ states to represent their bids. Different from classical auction protocols and the previous secure quantum sealed-bid auction protocols, in the present scheme, by introducing a post-confirmation mechanism the honesty of the quantum sealed-bid auction is guaranteed, i.e., malicious bidders cannot collude with auctioneers. Also by sharing secret keys with the bidders the auctioneer could insure the anonymity of the bidders.