RT Journal Article T1 Asymptotic Survival of Genuine Multipartite Entanglement in Noisy Quantum Networks Depends on the Topology A1 Contreras Tejada, Patricia A1 Palazuelos Cabezón, Carlos A1 De Vicente, Julio I. AB The study of entanglement in multipartite quantum states plays a major role in quantum information theory and genuine multipartite entanglement signals one of its strongest forms for applications. However, its characterization for general (mixed) states is a highly nontrivial problem. We introduce a particularly simple subclass of multipartite states, which we term pair-entangled network (PEN) states, as those that can be created by distributing exclusively bipartite entanglement in a connected network. We show that genuine multipartite entanglement in a PEN state depends on both the level of noise and the network topology and, in sharp contrast to the case of pure states, it is not guaranteed by the mere distribution of mixed bipartite entangled states. Our main result is a markedly drastic feature of this phenomenon: the amount of connectivity in the network determines whether genuine multipartite entanglement is robust to noise for any system size or whether it is completely washed out under the slightest form of noise for a sufficiently large number of parties. This latter case implies fundamental limitations for the application of certain networks in realistic scenarios, where the presence of some form of noise is unavoidable. To illustrate the applicability of PEN states to study the complex phenomenology behind multipartite entanglement, we also use them to prove superactivation of genuine multipartite nonlocality for any number of parties. PB American Physical Society SN 0031-9007 YR 2022 FD 2022 LK https://hdl.handle.net/20.500.14352/101486 UL https://hdl.handle.net/20.500.14352/101486 LA eng NO P. Contreras-Tejada, C. Palazuelos, and J. I. De Vicente, Asymptotic Survival of Genuine Multipartite Entanglement in Noisy Quantum Networks Depends on the Topology, Phys. Rev. Lett. 128, 220501 (2022). NO Ministerio de Ciencia, Innovación y Universidades (España) NO Ministerio de Economía, Comercio y Empresa (España) NO Comunidad de Madrid DS Docta Complutense RD 17 abr 2025