Construction of a Framework for High-Fidelity Entangled Quantum Teleportation Channel

Gang Li, Ming-Yong Ye, Xiu‐Min Lin

Revista, Zen, PHYSICS, 10

Quantum teleportation, a cornerstone of quantum information science, enables the transfer of an unknown quantum state from one location to another without physically moving the state itself. Its efficacy is primarily quantified by fidelity, a measure of how closely the teleported state resembles the original. Achieving high-fidelity teleportation is paramount for practical applications in quantum communication and computation. This paper explores the intricate relationship between non-locality, the no-cloning theorem, and the pursuit of high-fidelity quantum teleportation. We introduce the concept of "unclonable non-locality" to describe scenarios where the inherent non-local correlations of entangled states are leveraged in a manner that inherently resists illicit copying, thereby enhancing the integrity and security of the teleportation process. We review current state-of-the-art teleportation protocols, analyzing their fidelity limitations and the impact of various noise models, such as those arising from Bell-diagonal resource states and local amplitude-damping channels. Our framework emphasizes that protocols exhibiting identical average fidelities can conceal distinct statistical behaviors and asymmetries introduced by local noise, stressing the need for a comprehensive statistical assessment beyond simple average fidelity. We propose methods for constructing and utilizing entangled resources that maximize non-local correlations while inherently enforcing the no-cloning principle, thereby offering a robust pathway to deterministic, high-fidelity quantum state transfer. The discussion highlights the potential for designing tailored teleportation benchmarks based on prior importance functions, unifying moment-based criteria and threshold-based success probabilities into a single figure of merit, and clarifying the role of entanglement strength in certifying high-fidelity teleportation. We also acknowledge the ethical implications associated with the development of powerful quantum technologies that could have significant societal impacts.

Nengfei Gong

Written by Nengfei Gong This repository contains the simulation codes accompanying our research on certifying genuine multipartite high-dimensional quantum teleportation (HDQT). The codebase is divided into two main parts, implemented in Mathematica and MATLAB, respectively.This upload consists of 3 code files dedicated to the numerical analysis of genuine HDQT protocols: 1 Mathematica notebooks for calculating the optimal average teleportation fidelity over a given density of tripartite channel state. The methodology and theoretical framework implemented in these codes are derived from the seminal work presented in the following paper: "https://journals.aps.org/prapplied/abstract/10.1103/PhysRevApplied.22.054045". One can generalize corresponding codes for any d by following the similar rules. 2 MATLAB scripts/functions for computing the Genuine multipartite high-dimensional teleportation robustness (GHTR) of a given HDQT data and the Genuine multipartite high-dimensional entanglement robustness (GHER), which quantifies the channel entanglement. These codes are written in matlab and require CVX, QETLAB,and also the codes in "https://github.com/paulskrzypczyk/nonclassicalteleportation" (This seminal work has been a major inspiration for the construction of my codes)

You-neng Guo, Qinglong Tian, Ke Zeng +1 more

Zhao-Hui Peng, Jian Zou, Xiaojuan Liu +1 more

Heyu Su, Guang Yang, Min Nie +1 more

Quantum teleportation is a quantum communication protocol that has been extensively studied both theoretically and experimentally. The proposed approach of using the LOCCNet framework to learn quantum teleportation protocols is investigated in this study. In the proposed protocols consider various training scenarios, including controlling gate parameters between shared entangled states, and recovery operations. To optimize the training, the parameterized quantum circuits (PQC) with training parameters is used in the LOCCNet framework, and the results show that a high-fidelity quantum teleportation protocol can be achieved even under non-ideal channels. Moreover, simulations are conducted to evaluate the effect of quantum channel noise on teleportation performance by varying the noise of entangled states and entanglement parameters under adjustable operations. The findings suggest that the trained PQC can improve system performance and potentially offer denoising capabilities. Compared with the existing LOCCNet protocol, the newly designed LOCCNet protocol has better noise immunity and can improve the fidelity and transmission success rate in specific scenarios.