No-Go Theorems for Universal Entanglement Purification
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913938140037120 |
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| author | Zang, Allen Chen, Xinan Chitambar, Eric Suchara, Martin Zhong, Tian |
| author_facet | Zang, Allen Chen, Xinan Chitambar, Eric Suchara, Martin Zhong, Tian |
| contents | An entanglement purification protocol (EPP) aims to transform multiple noisy entangled states into a single entangled state with higher fidelity. In this work we consider EPPs that always yield an output fidelity no worse than each of the original noisy states, a property we call universality. We prove there is no $n$-to-1 EPP implementable by local operations and classical communication that is universal for all two-qubit entangled states, whereas such an EPP is possible using more general positive partial transpose-preserving (PPT) operations. We also show that universality is not possible by bilocal Clifford EPPs even when restricted to states with fidelities above an arbitrarily high threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_21760 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | No-Go Theorems for Universal Entanglement Purification Zang, Allen Chen, Xinan Chitambar, Eric Suchara, Martin Zhong, Tian Quantum Physics An entanglement purification protocol (EPP) aims to transform multiple noisy entangled states into a single entangled state with higher fidelity. In this work we consider EPPs that always yield an output fidelity no worse than each of the original noisy states, a property we call universality. We prove there is no $n$-to-1 EPP implementable by local operations and classical communication that is universal for all two-qubit entangled states, whereas such an EPP is possible using more general positive partial transpose-preserving (PPT) operations. We also show that universality is not possible by bilocal Clifford EPPs even when restricted to states with fidelities above an arbitrarily high threshold. |
| title | No-Go Theorems for Universal Entanglement Purification |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.21760 |