Abstract
We propose a scheme for asymmetric bidirectional controlled teleportation by using a six-qubit cluster state as quantum channel. In our scheme, Alice can transmit an arbitrary two-qubit entangled state to Bob and at the same time Bob can teleport an arbitrary single-qubit state to Alice under the control of the supervisor Charlie.

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This work is supported by the National Natural Science Foundation of China (Grant No. 61265001 and Grant No. 11564018), the Natural Science Foundation of Jiangxi Province, China (Grant No. 20142BAB202005).
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Appendix A
Appendix A
Alice’s possible measurement result, Bob’s possible measurement result, Charlie’s possible measurement result, final states hold by Alice and Bob and the corresponding locally unitary transformations performed by Alice and Bob on qubits 2, 3 and 4, respectively
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Li, Yh., Nie, Lp., Li, Xl. et al. Asymmetric Bidirectional Controlled Teleportation by Using Six-qubit Cluster State. Int J Theor Phys 55, 3008–3016 (2016). https://doi.org/10.1007/s10773-016-2933-y
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DOI: https://doi.org/10.1007/s10773-016-2933-y