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Symmetric Cyclic Controlled Quantum Teleportation of Three-Qubit State by a nineteen-Qubit Entangled State

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Abstract

Current protocols face limitations due to the small number and single form of transmitted qubits, as well as the complexity involved in preparing quantum channels. To address these limitations and develop a novel and practical protocol, we propose a new symmetric cyclic controlled quantum teleportation protocol, using nineteen-qubit entangled state as the quantum channel. Specifically, Alice, Bob and Charlie cyclically send arbitrary three-qubit states among themselves with the help of the controller David. The specialty of the proposed protocol is the utilization of multiple easy-to-prepare Bell-states and single-qubits within the quantum channel, which effectively minimizes resource consumption. Furthermore, we generalize the protocol with n+1(n≥3) parties by using (6n+1)-qubit entangled state as the quantum channel. This paper briefly analyzes the security of the protocol and compares them with the previous protocols in terms of efficiency. The results show that the present protocol is secure and more efficient. Our scheme has the potential to play a crucial role in facilitating secure quantum communication between quantum nodes in quantum networks.

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Data Availability

All data generated or analyzed during this study are included in the article.

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Acknowledgement

This work is supported by the National Natural Science Foundation of China under Grant No. 62172268 and 62302289; and Shanghai Science and Technology Project under Grant No. 21JC1402800 and 23YF1416200.

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Authors and Affiliations

  1. School of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China

    De-Yu Huang, Ri-Gui Zhou & Rui-Qing Xu

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  1. De-Yu Huang
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  3. Rui-Qing Xu
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Contributions

De-Yu Huang, Ri-Gui Zhou and Rui-Qing Xu conceived the theory and designed the protocol.

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Correspondence to Ri-Gui Zhou.

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Appendix

Appendix

Table 2 COn the base of that Alice’s and Bob’s Bell-state measurement results are \({\left|{\Phi }^{+}\right.\rangle }_{{\mathrm{\alpha }}_{1}{\mathrm{A}}_{1}}\), \({\left|{\Phi }^{+}\right.\rangle }_{{\mathrm{\alpha }}_{2}{\mathrm{A}}_{2}}\), \({\left|{\Phi }^{+}\right.\rangle }_{{\mathrm{\alpha }}_{3}{\mathrm{A}}_{3}}\), \({\left|{\Phi }^{+}\right.\rangle }_{{\upbeta }_{1}{\mathrm{B}}_{1}}\), \({\left|{\Phi }^{+}\right.\rangle }_{{\upbeta }_{2}{\mathrm{B}}_{2}}\) and \({\left|{\Phi }^{+}\right.\rangle }_{{\upbeta }_{3}{\mathrm{B}}_{3}}\) of Step 1 and 2 in Section 2.2. The specific unitary transformation employed to transmit collapsed states of qubits \(\{{\mathrm{B}}_{4},{\mathrm{B}}_{5},{\mathrm{B}}_{6},{\mathrm{C}}_{4},{\mathrm{C}}_{5},{\mathrm{C}}_{6},{\mathrm{A}}_{4},{\mathrm{A}}_{5},{\mathrm{A}}_{6},\mathrm{D}\}\) into the desired state shown in Eq. (13) correspond to Charlie’s Bell-state measurement results, and David’s single-qubit measurement results
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Huang, DY., Zhou, RG. & Xu, RQ. Symmetric Cyclic Controlled Quantum Teleportation of Three-Qubit State by a nineteen-Qubit Entangled State. Int J Theor Phys 63, 1 (2024). https://doi.org/10.1007/s10773-023-05522-6

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