Deduction of an upper bound on the success probability of port-based teleportation from the no-cloning theorem and the no-signaling principle
Damián Pitalúa-García · Physical Review A · 2013
In port-based teleportation, Alice teleports an unknown quantum state $|\ensuremath{\psi}\ensuremath{\rangle}$ to one of $N$ ports at Bob's site. Alice applies a measurement and sends Bob the outcome $k$. Bob only needs to select the $k$th port in order to obtain $|\ensuremath{\psi}\ensuremath{\rangle}$. We present a theorem in the spirit of the no-cloning theorem, which says that it is impossible to extract any information from an unknown quantum state if only a single copy of it is provided and if the state remains unchanged. We use this theorem and the no-signaling principle to prove an upper bound on the success probability of port-based teleportation.