Abstract
In this paper, we present a protocol for the bilateral creation of a known and an unknown qubit amongst two parties. The scheme is a hybrid type protocol of teleportation and remote state preparation protocol. There is an overseeing Controller who is connected to both the parties and without whose action the protocol cannot be completed. A five-qubit quantum entangled state is employed as quantum channel. Single qubit and Bell basis measurements are involved in the protocol.
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Bennett, C.H., Brassard, G., Crepeau, 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, 1895–1899 (1993)
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77(3), 032321 (2008)
Yan, F., Yan, T.: Probabilistic teleportation via a non-maximally entangled GHZ state. Chin. Sci. Bull. 55, 902–906 (2010)
Saha, D., Panigrahi, P.K.: N-qubit quantum teleportation, information splitting and superdense coding through the composite GHZ-Bell channel. Quant. Inf. Process. 11(2), 615–628 (2012)
Li, Y.H., Nie, L.P.: Bidirectional controlled teleportation by using a five-qubit composite GHZ-bell state. Int. J. Theor. Phys. 52, 1630–1634 (2013)
Zhang, Z.H., Shu, L., Mo, Z.W.: Quantum teleportation and superdense coding through the composite W-Bell channel. Quantum Inf. Process. 12, 1957–1967 (2013)
Yan, A.: Bidirectional controlled teleportation via six-qubit cluster state. Int. J. Theor. Phys. 52, 3870–3873 (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, 2697–2707 (2014)
Chen, Y.: Bidirectional quantum controlled teleportation by using a genuine six-qubit entangled state. Int. J. Theor. Phys. 54, 269–272 (2015)
Choudhury, S.B., Dhara, A.: A bidirectional teleportation protocol for arbitrary two-qubit state under the supervision of a third party. Int. J. Theor. Phys. 55, 2275–2285 (2016)
Li, Y.H., Nie, L.P., Li, X.L., Sang, M.H.: Asymmetric bidirectional controlled teleportation by using six-qubit cluster state. Int. J. Theor. Phys. 55, 3008–3016 (2016)
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)
Choudhury, B.S., Samanta, S.: Simultaneous perfect teleportation of three 2-qubit states. Quantum Inf. Process. 16, 230 (2017)
Choudhury, B.S., Samanta, S.: A multi-hop teleportation protocol of arbitrary four-qubit states through intermediate nodes. Int. J. Quantum Inf. 16(3), 1850026 (2018)
Lo, H.K.: Classical-communication cost in distributed quantum-information processing. A generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)
Pati, A.K.: Minimum classical bit for remote preparation and measurement of a qubit. Phys. Rev. A 63, 014302 (2001)
Bennett, C.H., Divincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
Ye, M.Y., Zhang, Y.S., Guo, G.C.: Faithful remote state preparation using finite classical bits and a nonmaximally entangled state. Phys. Rev. A 69, 022310 (2004)
Xia, Y., Song, J., Song, H.S.: Multiparty remote state preparation. J. Phys. B-At. Mol. Opt. 40(18), 3719–3724 (2007)
Wang, D., Liu, Y.-M., Zhang, Z.-J.: Remote preparation of a class of three-qubit states. Opt. Commun. 281, 871–875 (2008)
Wang, D.: Remote preparation of an arbitrary two-particle pure state via nonmaximally entangled states and positive operator-valued measurement. Int. J. Quantum Inf. 8(8), 1265–1275 (2010)
Wang, D., Ye, L.: Optimizing scheme for remote preparation of four-particle cluster-like entangled states. Int. J. Theor. Phys. 50, 2748–2757 (2011)
Wang, D., Hu, Y.-D., Wang, Z.-Q., Ye, L.: Efficient and faithful remote preparation of arbitrary three- and four-particle W-class entangled states. Quantum Inf. Process. 14(6), 2135–2151 (2015)
Choudhury, B.S., Samanta, S.: Remote preparation of some three particle entangled states under divided information. Int J. Theor. Phys. 58, 83–91 (2019)
Li, Y.-H., Qiao, Y., Sang, M.-H., Nie, Y.-Y.: Bidirectional controlled remote state preparation of an arbitrary two-qubit state. Int J. Theor. Phys. 58, 2228–2234 (2019)
Jia-yin, P., Hong-xuan, L.: Cyclic remote state preparation. Int. J. Theor. Phys. 60(4), 1593–1602 (2021)
Chaudhary, M., Fadel, M., Ilo-Okeke, E.O., Pyrkov, A.N., Ivannikov, V., Byrnes, T.: Remote state preparation of two-component Bose-Einstein condensates. Phys. Rev. A. 103(6), 062417 (2021)
An, N.B., Choudhury, B.S.: Samanta, S: Two-way remote preparations of inequivalent quantum states under a common control. Int. J. Theor. Phys. 60, 47–62 (2021)
Rajiuddin, S., Baishya, A., Behera, B.K., Panigrahi, P.K.: Experimental realization of quantum teleportation of an arbitrary two-qubit state using a four-qubit cluster state. Quantum Inf. Process 19, 87 (2020)
Vaidman, L.: Teleportation of quantum states. Phys. Rev. A 49(2), 1473–1476 (1994)
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, 1740–1744 (2013)
Zhang, D., Zha, X.W., Duan, Y.J.: Bidirectional and asymmetric quantum controlled teleportation. Int. J. Theor. Phys. 54, 1711–1719 (2015)
Yang, Y.Q., Zha, X.W., Yu, Y.: Asymmetric bidirectional controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 4197–4204 (2016)
Hong, W.Q.: Asymmetric bidirectional controlled teleportation by using a seven-qubit entangled state. Int. J. Theor. Phys. 55(1), 384–387 (2016)
Choudhury, B.S., Samanta, S.: Asymmetric bidirectional 3 and 2 qubit teleportation protocol between Alice and Bob via 9-qubit Cluster state. Int. J. Theor. Phys. 56, 3285–3296 (2017)
Huo, G.W., Zhang, T.Y., Zha, X.W., Zhang, M.Z.: Controlled asymmetric bidirectional hybrid of remote state preparation and quantum teleportation. Int. J. Theor. Phys. 59, 331–337 (2020)
Dash, T., Sk, R., Panigrahi, P.K.: Deterministic joint remote state preparation of arbitrary two-qubit state through noisy cluster-GHZ channel. Opt. Commun. 464, 125518 (2020)
Barik, S., Warke, A., Behera, B.K., Panigrahi, P.K.: Deterministic hierarchical remote state preparation of a two-qubit entangled state using Brown, et al. state in a noisy environment. IET Quantum Commun. 1(2), 49–54 (2020)
Mafi, Y., Kazemikhah, P., Ahmadkhaniha, A., Aghababa, H., Kolahdouz, M.: Bidirectional quantum teleportation of an arbitrary number of qubits over a noisy quantum system using 2 n Bell states as quantum channel. Opt. Quant. Electr. 54(9), 568 (2022)
Yuan, H., Liu, Y.M., Zhang, W., Zhang, Z.J.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B: At. Mol. Opt. Phys. 41, 145506 (2008)
Shi, R., Huang, L., Yang, W.: Multi-party quantum state sharing of an arbitrary two-qubit state with Bell-states. Quantum Inf. Process. 10, 231–239 (2011)
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This work is supported by the Indian Institute of Engineering Science and Technology, Shibpur. We gratefully acknowledge the suggestions of the referees.
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Choudhury, B.S., Mandal, M.K., Samanta, S. et al. A bidirectional hybrid quantum communication scheme for a known and an unknown qubit. Quantum Stud.: Math. Found. 10, 89–99 (2023). https://doi.org/10.1007/s40509-022-00284-y
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DOI: https://doi.org/10.1007/s40509-022-00284-y