Fig. 1.

The structure of a single round of the protocol. Alice applies $U_x$ to her system, which if followed by Bob’s unitary $U_y$. Bob has no information about the outcome of Alice’s port-based teleportation, $i_1^A$, so he teleports each of his qudit subsystems individually, obtaining $i_{\mathrm{1,1}}^B$, $i_{\mathrm{1,2}}^B$,….