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International Journal of Theoretical Physics

A Theoretical Study of Controlled Quantum Teleportation Scheme for n-qubit Quantum State

Mitali Sisodia

Published Dec 8, 2022• 13 citations
Publisher
DOI
10.1007/s10773-022-05260-1

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In this paper, we propose a four-directional controlled quantum teleportation (CQT) by using a nine-qubit entangled state as the quantum channel. In 2020, a scheme for four-directional controlled quantum teleportation by using a 10-qubit state as the quantum resource had been proposed in X. W. Zha and K. Li [Mod. Phys. Lett. B 34, 2050412 (2020)] in which the controller has no control over the two teleportation processes. In this study, it is also shown that two receivers cannot reconstruct the original state sent from the respective senders and hence the teleportation processes cannot be completed in the previous scheme. However, these problems have been resolved in our proposed scheme in which the controller has control over all the teleportation processes and none of the receivers can reconstruct the original state sent from the respective senders without the permission of the controller. Thus, our proposed scheme reduces the consumption of quantum resource and is more secure and successful as compared to the previous scheme.
Quantum controlled teleportation is the transmission of the quantum state under the supervision of a third party. This paper presents the theoretical and experimental results of an arbitrary two-qubit quantum controlled teleportation scheme, in which the sender Alice only needs to perform two Bell state measurements and the receiver Bob can perform an appropriate unitary operation to reconstruct the arbitrary two-qubit states under the control of the supervisor Charlie. The operation process of the scheme is verified on the IBM quantum experience platform, and the accuracy of the transmitted quantum state is further checked by performing quantum state tomography. Meanwhile, a good fidelity is obtained by using the theoretical density matrix and the experimental density matrix. A sequence of photonic states is introduced to analyze the possible intercept–replace–resend, intercept–measure–resend, and entanglement–measure–resend attacks on this scheme. The results proved that our scheme is highly secure.