Teleporting Noncommuting Qubits Require Maximal Entanglement

Abstract

Very recently, it was shown by Ghosh, Kar, Roy and Sen (\emph{Entanglement vs. Noncommutativity in Teleportation}, quant-ph/0010012) that if it is \emph{a priori} known that the state to be teleported is from a commuting set of qubits, a separable channel is sufficient. We show that 1 ebit of entanglement is a necessary resource to teleport a qubit even when it is known to be one of two noncommuting states.

4 pages, Latex