Arbitrary high-dimensional entanglement purification with the superposition of paths
Abstract
High-dimensional quantum entanglement offers significant advantages over its two-dimensional counterparts in various quantum information processing tasks. We propose a scalable method for implementing an arbitrary high-dimensional entanglement purification protocol (HDEPP) using path superposition. By selecting appropriate single-qudit gates, qudit-flip errors and phase-flip errors can be purified. Counterintuitively, the HDEPP becomes more robust for higher-dimensional systems and exhibits enhanced purification fidelity as the dimension increases. Our HDEPP not only requires fewer operational resources but also in principle can achieve unity fidelity through multiple rounds of iteration. Furthermore, we develop feasible optical schemes to purify the frequency degree of freedom of photons suffering from qudit-flip and phase-flip errors using hyperentanglement. This work paves the way toward high-dimensional quantum communication and quantum networks.
Versions
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BibTeX
@misc{zheng2026arbitrary,
title = {{Arbitrary high-dimensional entanglement purification with the superposition of paths}},
author = {Zi-Han Zheng and Wen-Qiang Liu and Chen-Ming Bai and Hai-Rui Wei},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.37136},
eprint = {2609.37136},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.37136},
}
RIS
TY - UNPB
TI - Arbitrary high-dimensional entanglement purification with the superposition of paths
AU - Zi-Han Zheng
AU - Wen-Qiang Liu
AU - Chen-Ming Bai
AU - Hai-Rui Wei
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2609.37136
UR - https://arxiv.org/abs/2609.37136
AB - High-dimensional quantum entanglement offers significant advantages over its two-dimensional counterparts in various quantum information processing tasks. We propose a scalable method for implementing an arbitrary high-dimensional entanglement purification protocol (HDEPP) using path superposition. By selecting appropriate single-qudit gates, qudit-flip errors and phase-flip errors can be purified. Counterintuitively, the HDEPP becomes more robust for higher-dimensional systems and exhibits enhanced purification fidelity as the dimension increases. Our HDEPP not only requires fewer operational resources but also in principle can achieve unity fidelity through multiple rounds of iteration. Furthermore, we develop feasible optical schemes to purify the frequency degree of freedom of photons suffering from qudit-flip and phase-flip errors using hyperentanglement. This work paves the way toward high-dimensional quantum communication and quantum networks.
ER -