Teleporting Noncommuting Qubits Require Maximal Entanglement

Abstract

Very recently, it was shown by Ghosh, Kar, Roy and Sen (Entanglement vs. Noncommutativity in Teleportation, quant-ph/0010012) that if it is 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.

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