No-teleportation theorem

In quantum information theory, the no-teleportation theorem states that an arbitrary quantum state cannot be converted into a sequence of classical bits (or even an infinite number of such bits); nor can such bits be used to reconstruct the original state, thus "teleporting" it by merely moving classical bits around. Put another way, it states that the unit of quantum information, the qubit, cannot be exactly, precisely converted into classical information bits. This should not be confused with quantum teleportation, which does allow a quantum state to be destroyed in one location, and an exact replica to be created at a different location.

In crude terms, the no-teleportation theorem stems from the Heisenberg uncertainty principle and the EPR paradox: although a qubit ${\displaystyle |\psi \rangle }$ can be imagined to be a specific direction on the Bloch sphere, that direction cannot be measured precisely, for the general case ${\displaystyle |\psi \rangle }$; for if it could, the results of that measurement would be describable with words, i.e. classical information.

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