Bidirectional hierarchical quantum teleportation based on an eight-qubit entangled state

Abstract

This article proposes an asymmetric bidirectional hierarchical quantum teleportation protocol, which is based on a quantum channel composed of a maximum of eight-qubit entangled state. With this method, Alice can transmit an unknown single-qubit state to Bob, meanwhile, Bob can transmit an arbitrary unknown two-qubit quantum state to Alice. As a sender with high authority, Bob can send any unknown two-qubit quantum state to Alice only under the sole control of the controller Charlie; Alice, as a sender with low-level permissions, if Bob intends to receive the unknown single-qubit quantum state sent by Alice, he must get the permission and assistance of Charlie and David to complete the communication.

Hierarchical controlled cyclic quantum teleportation

“…Both literatures provide cyclic quantum teleportation schemes for unknown single qubits, where the scheme in [28] has no controller, while the scheme in [30] only has one controller D, which cannot achieve hierarchical control of cyclic quantum teleportation. References [46,48] provide « 1 1 and « 1 2 bidirectional quantum hierarchical control schemes for teleportation, with intrinsic efficiencies of 16.67% and 18.75%, respectively, which are slightly higher than the intrinsic efficiency of the scheme proposed in this paper by 15%. However, the proposed scheme in this article can achieve HCCQT with three agents and two additional controllers, which has a wider range of application scenarios.…”

“…In this section, some existing schemes [28,30,46,48] were compared with the schemes in this article, demonstrating some of the advantages of the schemes in this article. Since no other hierarchical controlled cyclic quantum teleportation schemes have been found to have been published in the literature, the intrinsic efficiency of the scheme in this paper is calculated and a comparative analysis of existing cyclic quantum teleportation schemes, hierarchical unidirectional and bidirectional quantum teleportation schemes, is given as examples.…”

A Scheme for Quantum Teleportation and Remote Quantum State Preparation of IoT Multiple Devices

“…In [24], consistent with our scheme, a nine-qubit channel was also adopted for communication, and a total of five-qubit quantum states were also transmitted bi-directionally. The paper [19] used an 8-qubit channel to transmit a 3-qubit channel, with a transmission efficiency of 3/16, which is relatively low. The transmission form of the paper [18] was the same as that of the paper [39], but the transmission efficiency was not improved.…”

“…In 2021, Zhou et al [17] implemented a bidirectional quantum teleportation scheme using a six-qubit quantum channel for quantum state transmission, providing valuable insights for enhancing efficiency. In 2022, Mengting Wang and Hai-Sheng Li [18] achieved bidirectional controlled quantum teleportation, contributing to the ongoing development of bidirectional quantum teleportation protocols [17][18][19][20][21][22]. Asymmetric bidirectional quantum teleportation refers to the scenario where the quantum states transmitted by both parties can be different, allowing for a greater variety of quantum state transmissions.…”