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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.20958 |
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| _version_ | 1866918520762138624 |
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| author | Song, Zihua Chen, Lin Wang, Yongge |
| author_facet | Song, Zihua Chen, Lin Wang, Yongge |
| contents | Distilling high-dimensional quantum entanglement under realistic, general asymmetric noise remains a formidable challenge. Standard entanglement purification protocols inevitably fail to satisfy convergence constraints under severe asymmetric noise. In this paper, we investigate carrier-assisted entanglement purification protocols, namely CAEPP and mCAEPP, first for two-qutrit systems, demonstrating that without adaptive pre-processing, convergence is strictly bottlenecked by marginal $X$-error probabilities. To overcome this limitation, we introduce a deterministic pre-processing scheme based on mutually unbiased bases (MUBs). By actively rotating the qutrit phase space to establish primary-axis error dominance, we rigorously prove that, conditioned on successful syndrome outcomes, the MUB-adapted mCAEPP yields unit asymptotic fidelity for any two-qutrit Pauli channel with initial fidelity $p_{00} > 1/3$. We further extend the algebraic carrier-assisted framework and the asymmetric-noise bottleneck to arbitrary qudit dimensions, and show that in prime-power dimensions the MUB-geometric preprocessing gives the sufficient high-dimensional threshold $p_{00}>(d-1)/(2d)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20958 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | High-Dimensional Carrier-Assisted Entanglement Purification Based on Mutually Unbiased Bases Song, Zihua Chen, Lin Wang, Yongge Quantum Physics Distilling high-dimensional quantum entanglement under realistic, general asymmetric noise remains a formidable challenge. Standard entanglement purification protocols inevitably fail to satisfy convergence constraints under severe asymmetric noise. In this paper, we investigate carrier-assisted entanglement purification protocols, namely CAEPP and mCAEPP, first for two-qutrit systems, demonstrating that without adaptive pre-processing, convergence is strictly bottlenecked by marginal $X$-error probabilities. To overcome this limitation, we introduce a deterministic pre-processing scheme based on mutually unbiased bases (MUBs). By actively rotating the qutrit phase space to establish primary-axis error dominance, we rigorously prove that, conditioned on successful syndrome outcomes, the MUB-adapted mCAEPP yields unit asymptotic fidelity for any two-qutrit Pauli channel with initial fidelity $p_{00} > 1/3$. We further extend the algebraic carrier-assisted framework and the asymmetric-noise bottleneck to arbitrary qudit dimensions, and show that in prime-power dimensions the MUB-geometric preprocessing gives the sufficient high-dimensional threshold $p_{00}>(d-1)/(2d)$. |
| title | High-Dimensional Carrier-Assisted Entanglement Purification Based on Mutually Unbiased Bases |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.20958 |