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Journal of the Optical Society of America B

Multihop fault-tolerant joint remote state preparation of an arbitrary single-qubit state

Renzhi Gong, Min Jiang

Published Oct 5, 2022• 2 citations
Publisher

Abstract

We present a strategy for multihop fault-tolerant joint remote state preparation of an arbitrary single-qubit state. To reduce the requirements of the channels, our scheme uses the nonmaximally entangled channel instead of the maximally entangled channel as the quantum channel. However, several typical operational errors such as X, Z, or XZ may occur on the channel qubits when the qubits are distributed from the former node to the next adjacent node. Note that the quantum error correction matrix is considered to deal with the influence of all possible operational errors by the final receiver instead of each intermediate node. Since all the measurement operations in the scheme can be executed in parallel and all the error corrections and the preparation of the target state are handled by the receiver with one unified unitary operation, our scheme significantly reduces both the time delay and the operation complexity and also enhances the implementation efficiency.

DOI
10.1364/josab.464741

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We present a strategy for multihop fault-tolerant joint remote state preparation of an arbitrary single-qubit state. To reduce the requirements of the channels, our scheme uses the nonmaximally entangled channel instead of the maximally entangled channel as the quantum channel. However, several typical operational errors such as X, Z, or XZ may occur on the channel qubits when the qubits are distributed from the former node to the next adjacent node. Note that the quantum error correction matrix is considered to deal with the influence of all possible operational errors by the final receiver instead of each intermediate node. Since all the measurement operations in the scheme can be executed in parallel and all the error corrections and the preparation of the target state are handled by the receiver with one unified unitary operation, our scheme significantly reduces both the time delay and the operation complexity and also enhances the implementation efficiency.
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Abstract The primary aim of this study is to utilize multicast in the preparation of multi-party four-qubit cluster states. In the presence of environment noises, errors may influence the procedure of the particle distribution. To address this challenge, we propose a fault-tolerant scheme to manage the errors within the detectable channel particles. Based on the Bell chain channel, our approach could prepare arbitrary four-particle cluster state by introducing auxiliary particles, where the receiver performs the unitary operation for recovering the target states. Compared to previous multicast protocols, our scheme reduces resource consumption and operational complexity during cluster state preparation. Additionally, we analyze the system’s fidelity in incoherent environments, providing a more comprehensive understanding of the impact of noise on quantum communication systems.
In this paper, we propose one multi-hop fault-tolerant teleportation scheme leveraging non-maximally entangled cluster states as the quantum channel, which is crucial for efficient transmission over extended distances. During quantum communication, environmental noise may introduce operational errors between adjacent nodes. In order to uphold the maximum transmission efficiency, error correction operations are exclusively conducted by the ultimate receiver rather than intermediate nodes. Error outcomes from each node can be synchronously relayed to the receiver via the classical channel, effectively diminishing the delays and operational intricacies, thereby significantly bolstering the transmission efficiency. Moreover, we utilize the Quirk simulation software to simulate the teleportation process.
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