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This research advances high-dimensional qudit systems by demonstrating entanglement purification protocols that asymptotically approach perfect fidelity while correcting specific quantum errors. The development of schemes immune to polluted photons offers a robust pathway for scaling distributed quantum computation and large-scale quantum networks beyond standard qubit architectures.
Fidelity of Qudit Entanglement Rises With Iterated Purification

High-dimensional qudit systems, which are -level or -state systems, outperform two-dimensional qubit systems in some quantum information processing tasks. Researchers exploit entanglement purification protocols for extracting high quality arbitrary -dimensional -partite Greenberger-Horne-Zeilinger states, improving the fidelity of the output state to unity by iterating the process and correcting qudit-flip and phase-flip errors.
Researchers have demonstrated a new approach to entanglement purification that can asymptotically improve the fidelity of high-dimensional qudit states toward unity, perfect entanglement. The work, led by Yu-Qing Kong, Jia-Ye Liu, Hui-Hui Kong, and Hai-Rui Wei from the School of Mathematics and Physics, University of Science and Technology Beijing, details protocols capable of correcting both qudit-flip and phase-flip errors. These schemes are immune to the number of polluted photons, and fidelity thresholds for the proposed EPPs have been developed. These features offer an alternative method for high-dimensional multipartite entanglement purification, essential for distributed quantum computation and large-scale quantum networks. Achieving perfect entanglement, a cornerstone for robust quantum technologies, remains a significant challenge, but recently…
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