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In port-based teleportation, Alice teleports an unknown quantum state to oneof N ports at Bob's site. Alice applies a measurement and sends Bob the outcomek. Bob only needs to select the kth port in order to obtain the state. Wepresent a theorem in the spirit of the no-cloning theorem, which says that itis impossible to extract any information from an unknown quantum state if onlya single copy of it is provided and if the state remains unchanged. We use thistheorem and the no-signaling principle to prove an upper bound on the successprobability of port-based teleportation.

Deduction of an upper bound on the success probability of port-based teleportation from the no-cloning theorem and the no-signaling principle