Cut-resistant links and multipartite entanglement resistant to particle loss
| Autor: | Quinta, Gonçalo M., André, Rui, Burchardt, Adam, Życzkowski, Karol |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 100, 062329 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.100.062329 |
| Popis: | In this work, we explore the space of quantum states composed of $N$ particles. To investigate the entanglement resistant to particles loss, we introduce the notion of $m$-resistant states. A quantum state is $m$-resistant if it remains entangled after losing an arbitrary subset of m particles, but becomes separable after losing a number of particles larger than $m$. We establish an analogy to the problem of designing a topological link consisting of $N$ rings such that, after cutting any $(m + 1)$ of them, the remaining rings become disconnected. We present a constructive solution to this problem, which allows us to exhibit several distinguished $N$-particles states with the desired property of entanglement resistance to a particle loss. Comment: 14 pages, 12 figures |
| Databáze: | arXiv |
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