Abstract
We propose a protocol of asymmetric controlled bidirectional quantum teleportation of two- and three-qubit states. That is to say, Alice wants to teleport an arbitrary two-qubit state to Bob, and Bob wants to teleport an arbitrary three-qubit state for Alice via the control of supervisor Charlie. By using the eleven-qubit entangled state as the quantum channel, Alice can teleport an arbitrary two-qubit state for Bob and Bob can teleport an arbitrary three-qubit state for Alice simultaneously.
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