Abstract
We propose a scheme of cyclic quantum teleportation for three unknown qubits using six-qubit maximally entangled state as the quantum channel. Suppose there are three observers Alice, Bob and Charlie, each of them has been given a quantum system such as a photon or spin-\(\frac{1}{2}\) particle, prepared in state unknown to them. We show how to implement the cyclic quantum teleportation where Alice can transfer her single-qubit state of qubit a to Bob, Bob can transfer his single-qubit state of qubit b to Charlie and Charlie can also transfer his single-qubit state of qubit c to Alice. We can also implement the cyclic quantum teleportation with \(N\geqslant 3\) observers by constructing a 2N-qubit maximally entangled state as the quantum channel. By changing the quantum channel, we can change the direction of teleportation. Therefore, our scheme can realize teleportation in quantum information networks with N observers in different directions, and the security of our scheme is also investigated at the end of the paper.

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Bennett, C.H., Brassard, G., Crpeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)
Hillery, M., Buzek, V., Bertaiume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)
Pathak, A., Banerjee, A.: Efficient quantum circuits for perfect and controlled teleportation of n-qubit nonmaximally entangled states of generalized Bell-type. Int. J. Quantum Inf. 9, 389 (2011)
Li, W., Zha, X.W., Qi, J.X.: Tripartite quantum controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 3927–3933 (2016)
Wang, X.W., Xia, L.X., Wang, Z.Y., Zhang, D.Y.: Hierarchical quantum-information splitting. Opt. Commun. 283, 1196 (2010)
Shukla, C., Pathak, A.: Hierarchical quantum communication. Phys. Lett. A 377, 1337 (2013)
Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2000)
Huelga, S.F., Vaccaro, J.A., Chefles, A., Plenio, M.B.: Quantum remote control: Teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)
Bouwmeester, D., Pan, J.W., Mattle, K.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Yang, Y.X., Metz, D.C.: Safety of proton pump inhibitor exposure. Gastroenterology 139(4), 1115–1127 (2010)
Takeda, S., Mizuta, T., Fuwa, M., et al.: Deterministic quantum teleportation of photonic quantum bits by a hybrid technique. Nature 500(7462), 315–318 (2013)
Krauter, H., Salart, D., Muschik, C.A., et al.: Deterministic quantum teleportation between distant atomic objects. Nat. Phys. 9(7), 400–404 (2013)
Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: teleportation of angles. Phys. Rev. A 65, 042316 (2002)
Zha, X.W., Zou, Z.C., Qi, J.X., Song, H.Y.: Bidirectional quantum controlled teleportation via five-qubit cluster state. Int. J. Theor. Phys. 52, 1740 (2013)
Shukla, C., Banerjee, A., Pathak, A.: Bidirectional controlled teleportation by using 5-qubit states: a generalized view. Int. J. Theor. Phys. 52, 3790 (2013)
Zha, X.W., Song, H.Y., Ma, G.L.: Bidirectional swapping quantum controlled teleportation based on maximally entangled five-qubit state. arXiv:1006.0052 [quant-ph] (2010)
Chen, Y.: Bidirectional controlled teleportation by using five-qubit entangled state. Int. J. Theor. Phys. 54, 1454–1458 (2014)
Li, Y.H., Li, X.L., Sang, M.H., Nie, Y.Y., Wang, Z.S.: Bidirectional controlled quantum teleportation and secure direct communication using five-qubit entangled state. Quantum Inf. Process. 12, 3835 (2013)
Duan, Y.J., Zha, X.W.: Bidirectional quantum controlled teleportation via a six-qubit entangled state. Int. J. Theor. Phys. 53, 3780 (2014)
Chen, Y.: Bidirectional quantum controlled teleportation by using a genuine six-qubit entangled state. Int. J. Theor. Phys. 54, 269 (2014)
An, Y.: Bidirectional controlled teleportation via six-qubit cluster state. Int. J. Theor. Phys. 52, 3870 (2013)
Duan, Y.J., Zha, X.W., Sun, X.M., Xia, J.F.: Bidirectional quantum controlled teleportation via a maximally seven-qubit entangled state. Int. J. Theor. Phys. 53, 2697 (2014)
Li, Y.H., Jin, X.M.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. Quantum Inf. Process. 15, 929–945 (2016)
Hassanpour, S., Houshmand, M.: Bidirectional teleportation of a pure EPR state by using GHZ states. Quantum Inf. Process. 15, 905–912 (2016)
Zhang, D., Zha, X.W., Li, W., Yu, Y.: Bidirectional and asymmetric quantum controlled teleportation via maximally eight-qubit entangled state. Quantum Inf. Process. 14, 3835–3844 (2015)
Thapliyal, K., Verma, A., Pathak, A.: A general method for selecting quantum channel for bidirectional controlled state teleportation and other schemes of controlled quantum communication. Quantum Inf. Process. 14, 4601–4614 (2015)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, M., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575–579 (1997)
Boschi, D., Branca, S., Martini, F.D., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 80, 1121 (1998)
Riebe, M., Haffner, H., Roos, C.F., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734–737 (2004)
Barrett, M.D., Chiaverini, J., Schaetz, T., et al.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737–739 (2004)
Wang, T.Y., Wen, Q.Y., Chen, X.B., et al.: An efficient and secure multiparty quantum secret sharing scheme based on single photons. Opt. Commun. 281, 6130–6134 (2008)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441–444 (2000)
Acknowledgements
We thank H. L. Shi, Y. T. Gou and J. X. Hou for their valuable discussions. This work was supported by the NSFC (Grant Nos. 11375141, 11425522, 91536108 and 11647057), the Special research funds of Shaanxi Province Department of Education (No. 203010005), Northwest university scientific research funds (No. 338020004) and The Double First-class University Construction Project of Northwest University.
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Chen, YX., Du, J., Liu, SY. et al. Cyclic quantum teleportation. Quantum Inf Process 16, 201 (2017). https://doi.org/10.1007/s11128-017-1648-1
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DOI: https://doi.org/10.1007/s11128-017-1648-1