New constructions of multipartite entanglement resistant to particle loss
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915280422174720 |
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| author | Zhang, Wanchen Han, Zicheng Shi, Fei Zhang, Xiande |
| author_facet | Zhang, Wanchen Han, Zicheng Shi, Fei Zhang, Xiande |
| contents | An entangled state is called m-resistant if it remains entangled after losing an arbitrary subset of mparticles but becomes fully separable after losing any number of particles larger than m. Quinta et al. [Phys. Rev. A (2019)] conjectured that for any N-particle systems, there always exists an m-resistant pure state. In this paper, we give two general constructions of m-resistant pure states. One is from the mixtures of Dicke states, which provides strong (N - k)-resistant pure N-qubit states with k = 4 or 5. The other is from classical error correcting codes, which provides new m-resistant qudit states for certain m < N/2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New constructions of multipartite entanglement resistant to particle loss Zhang, Wanchen Han, Zicheng Shi, Fei Zhang, Xiande Quantum Physics An entangled state is called m-resistant if it remains entangled after losing an arbitrary subset of mparticles but becomes fully separable after losing any number of particles larger than m. Quinta et al. [Phys. Rev. A (2019)] conjectured that for any N-particle systems, there always exists an m-resistant pure state. In this paper, we give two general constructions of m-resistant pure states. One is from the mixtures of Dicke states, which provides strong (N - k)-resistant pure N-qubit states with k = 4 or 5. The other is from classical error correcting codes, which provides new m-resistant qudit states for certain m < N/2. |
| title | New constructions of multipartite entanglement resistant to particle loss |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.06567 |