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Physica Scripta

Flexible multi-hop non-destructive teleportation via non-maximally entangled GHZ channels

Yu Cai, Yuzhen Wei, Min Jiang, Hong Chen

Published Oct 9, 2026• 0 citations
Publisher

Abstract

Abstract Quantum teleportation is one of the key technologies enabling long-distance quantum communication. However, the decoherence in realistic channels makes it difficult to maintain maximal entanglement. Furthermore, the capability to perform high-dimensional unitary operations poses a significant challenge, as not all the nodes in the quantum network possess this ability. Meanwhile, low transmission rates also hinder the development of quantum networks. We propose a flexible multi-hop non-destructive teleportation via non-maximally entangled GHZ channels, where the network is partitioned into upstream and downstream segments. Direct entanglement channels are established via simultaneous entanglement swapping and multi-level hierarchical swapping. Channel modulation is performed by the selected intermediate parties with high-dimensional operational capabilities and auxiliary particles. In this framework, the sender and the receiver are responsible only for information transmission, while other intermediate nodes perform only basic operations, such as Bell-state and Hadamard ( H ) measurements. In this scheme, any intermediate node possesses high-dimensional unitary operation capability, making the teleportation process flexible in terms of node deployment and operational responsibility, thereby reducing the requirements for the communication terminals.

DOI
10.1088/1402-4896/aeb28d

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Abstract A scheme for the multihop non‐destructive teleportation of an arbitrary single‐qudit state based on various non‐maximally entangled Greenberger–Horne–Zeilinger channels is proposed here. The parallel entanglement swap is used to form a direct d ‐dimensional () entangled channel shared between the sender and the receiver. The authors’ propose a novel idea that the third‐party Charlie with high quantum information processing technology executes the channel modulation, which reduces the technical requirements of the sender and the receiver. In addition, if the teleportation fails, the unknown state will be restored by the sender. This work provides a feasible method for teleportation and ensures the integrity of the unknown quantum information.
The combination of quantum communication technology and wireless networks brings a flexible and secure communication method, which adapts to a more complex network environment. In this paper, a new multi-hop teleportation scheme is investigated for transferring an unknown qutrit state between distant parties. The intermediate nodes are introduced and linked with each other via partially entangled Greenberger-Horne-Zeilinger (GHZ) states as quantum channels. In this multi-hop teleportation protocol, the source node and all the intermediate nodes can perform the entanglement measurement and transmit the measurement results simultaneously. Furthermore, we find the relationship between the measurement results and the receiver’s state, which is given as the matrix form. Compared with previous protocols for multi-hop transmission, our scheme can reduce the transmission delay and save the transmission overhead.
In this paper, we propose a scheme for the multi-hop nondestructive teleportation of an arbitrary single-qudit state via channel modulation performed by one cloud node in a network. Considering the limited quantum technology of the sender, the receiver, and the ordinary intermediate nodes, we assume that there are certain cloud nodes in a quantum network equipped with quantum processing capability of performing high-dimensional multi-qudit unitary operations. In our scheme, N intermediate nodes, involving one cloud node and N − 1 ordinary relay nodes, are connected in a chain through N + 1 different non-maximally entangled Bell pairs. Our scheme reduces the hardware requirement of the terminals, which makes it more flexible and adaptable in a network. In addition, our scheme enables preservation of the original single-qudit state, even if the teleportation fails. Our finding provides a methodology for the multi-hop nondestructive teleportation in a network with limited technical processing capabilities of terminals.
Abstract We present an innovative approach for quantum teleportation (QT) in a three-dimensional (3D) quantum system, enabling the transmission of 3D quantum information from multiple senders to multiple receivers using a 3D maximally entangled GHZ-type state as a network channel.By substituting the quantum channel with a partially entangled GHZ-type state in a three-dimensional (3D) setting, we obtain an extension of the above scheme in which, when an auxiliary qubit is introduced, the receivers implement a two-particle unitary transformation and some proper 3D Weyl operators to jointly reconstruct the transmitted state with a certain probability and unit fidelity. Subsequently, inspired by the proposed schemes, a protocol for transferring a shared d-dimensional (dD) quantum state to multiple distant parties by using a dD maximally entangled GHZ-type state as quantum channel is presented, and it is generalized to the case of a dD partially entangled GHZ-type network channel by introducing an auxiliary qubit and executing a two-particle unitary transformation. Our schemes can relay quantum information over a network without requiring fully trusted central or intermediate nodes, and none of the participants can fully accesses the information.
Abstract Implementing quantum wireless multi-hop network communication is essential to improve the global quantum network system. In this paper, we employ eight-level GHZ states as quantum channels to realize multi-hop quantum communication, and utilize the logical relationship between the measurements of each node to derive the unitary operation performed by the end node. The hierarchical simultaneous entanglement switching (HSES) method is adopted, resulting in a significant reduction in the consumption of classical information compared to multi-hop quantum teleportation (QT) based on general simultaneous entanglement switching (SES). In addition, the proposed protocol is simulated on the IBM Quantum Experiment platform (IBM QE). Then, the data obtained from the experiment are analyzed using quantum state tomography, which verifies the protocol’s good fidelity and accuracy. Finally, by calculating fidelity, we analyze the impact of four different types of noise (phase-damping, amplitude-damping, phase-flip and bit-flip) in this protocol.