An efficient quantum key distribution protocol with orthogonal product states

An efficient quantum key distribution (QKD) protocol with orthogonal product states in the 3 \otimes 3 Hilbert space is presented. The sender, Alice, disorders the orthogonal product state sequence and sends it to Bob. After Alice has published the matching information of the particle sequence, Bob recovers the correct correspondences and makes an orthogonal measurement on the orthogonal product states to obtain the information sent by Alice. Finally, security analysis is also made.