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Quantum teleportation works on any qubit. It isn't restricted to only working on entangled qubits. It works on unentangled qubits. Quantum teleportation does require the sender and receiver to have shared an EPR pair $P_{A,B}$ in order to send your qubit $|\psi\rangle$, and the teleportation process will use up $P_{A,B}$, but there is no restriction on ...


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Take a pair of qubits in a maximally entangled state $\phi=A\otimes B+B\otimes A$. (Here $A$ and $B$ are a basis for the state space of a single qubit.) One stays with you, the other resides at the intended location. You've therefore got two qubits --- the one you want to transport (in state $\psi$) and one of the entangled pair. Now make an observation ...



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