New Genuine Multipartite Entanglement

Abstract

The quantum entanglement as one of very important resources has been widely used in quantum information processing. In this work, we present a new kind of genuine multipartite entanglement. It is derived from special geometric feature of entangled systems compared with quantum multisource networks. We prove that any symmetric entangled pure state shows stronger nonlocality than the genuinely multipartite nonlocality in the biseparable model. Similar results hold for other entangled pure states with local dimensions no larger than $3$. We further provide computational conditions for witnessing the new nonlocality of noisy states. These results suggest that the present model is useful characterizing a new kind of generic quantum entanglement.

13 pages+24 pages, 5 figures+7 figures. Comments welcome. See two related works [Navascues et al, arXiv:2002.02773] and [Kraft et al,arXiv:2002.03970]

References in corpus (7)

• The Quantum Internet
• Multi-party entanglement in graph states
• The uncertainty principle determines the non-locality of quantum mechanics
• Beyond Bell's Theorem: Correlation Scenarios
• Universal resources for measurement-based quantum computation
• Genuine Network Multipartite Entanglement
• Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices

Cited by in corpus (7)

• Genuine Network Multipartite Entanglement
• Network Quantum Steering
• Quantum entanglement in the triangle network
• Characterizing Quantum Networks: Insights from Coherence Theory
• Network Nonlocality via Rigidity of Token-Counting and Color-Matching
• General spin systems without genuinely multipartite nonlocality
• Robust Multipartite Entanglement Without Entanglement Breaking