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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2509.09423 |
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| _version_ | 1866915489993719808 |
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| author | Orthey, Alexandre C. Philip, Aby Kondra, Tulja Varun Streltsov, Alexander |
| author_facet | Orthey, Alexandre C. Philip, Aby Kondra, Tulja Varun Streltsov, Alexander |
| contents | Entanglement purification is essential for quantum technologies; yet, rigorous bounds on the success probability for universal protocols -- those requiring no prior knowledge about the input state -- have remained underexplored. We establish such fundamental limits for conclusive protocols distilling perfect Bell states from a pure two-qubit states by deriving the optimal success probability starting with: two copies of a state with known Schmidt basis, and four copies of a state with unknown Schmidt basis. We prove that a known protocol achieves these bounds, confirming its optimality. Crucially, universality imposes an inherent efficiency trade-off, yielding an average success probability of just $2/105$ over Haar measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimality of universal conclusive entanglement purification protocols Orthey, Alexandre C. Philip, Aby Kondra, Tulja Varun Streltsov, Alexander Quantum Physics Entanglement purification is essential for quantum technologies; yet, rigorous bounds on the success probability for universal protocols -- those requiring no prior knowledge about the input state -- have remained underexplored. We establish such fundamental limits for conclusive protocols distilling perfect Bell states from a pure two-qubit states by deriving the optimal success probability starting with: two copies of a state with known Schmidt basis, and four copies of a state with unknown Schmidt basis. We prove that a known protocol achieves these bounds, confirming its optimality. Crucially, universality imposes an inherent efficiency trade-off, yielding an average success probability of just $2/105$ over Haar measure. |
| title | Optimality of universal conclusive entanglement purification protocols |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.09423 |