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In this paper, we introduce a scheme of bidirectional quantum controlled teleportation for exchanging two single-qudit states via partially entangled GHZ-type states. The necessary measurements and operations are given in detail.
For a three-level system monitored by an ancilla, we show that the quantum Zeno effect can be employed to control quantum jump for error correction. Further, we show that we can realize cNOT gate, and effect dense coding and teleportation using a three-level system with an ancilla. We believe that this work paves the way to generalize the control of a qudit.