Multiparticle entanglement as an emergent phenomenon

Abstract

The question whether global entanglement of a multiparticle quantum system can be inferred from local properties is of great relevance for the theory of quantum correlations as well as for experimental implementations. We present a method to systematically find quantum states, for which the two- or three-body marginals do not contain any entanglement, nevertheless, the knowledge of these reduced states is sufficient to prove genuine multiparticle entanglement of the global state. With this, we show that the emergence of global entanglement from separable local quantum states occurs frequently and for an arbitrary number of particles. We discuss various extensions of the phenomenon and present examples where global entanglement can be proven from marginals, even if entanglement cannot be localized in the marginals with measurements on the other parties.

7+\varepsilon pages, 3 figures, v3: final version

References in corpus (5)

• Taming multiparticle entanglement
• Localizable Entanglement
• Spin squeezing and entanglement
• Experimental multiparticle entanglement dynamics induced by decoherence
• Algorithm for characterizing stochastic local operations and classical communication classes of multiparticle entanglement

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• Multipartite States under Elementary Local Operations
• Fate of multiparticle entanglement when one particle becomes classical
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• Experimental demonstration of a fully inseparable quantum state with nonlocalizable entanglement