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• W2884328367 abstract "Entanglement theory is formulated as a quantum resource theory in which the free operations are local operations and classical communication (LOCC). This defines a partial order among bipartite pure states that makes it possible to identify a maximally entangled state, which turns out to be the most relevant state in applications. However, the situation changes drastically in the multipartite regime. Not only do there exist inequivalent forms of entanglement forbidding the existence of a unique maximally entangled state, but recent results have shown that LOCC induces a trivial ordering: almost all pure entangled multipartite states are incomparable (i.e., LOCC transformations among them are almost never possible). In order to cope with this problem we consider alternative resource theories in which we relax the class of LOCC to operations that do not create entanglement. We consider two possible theories depending on whether resources correspond to multipartite entangled or genuinely multipartite entangled (GME) states and we show that they are both nontrivial: no inequivalent forms of entanglement exist in them and they induce a meaningful partial order (i.e., every pure state is transformable to more weakly entangled pure states). Moreover, we prove that the resource theory of GME that we formulate here has a unique maximally entangled state, the generalized GHZ state, which can be transformed to any other state by the allowed free operations." @default.
• W2884328367 created "2018-08-03" @default.
• W2884328367 creator A5037060360 @default.
• W2884328367 creator A5069164586 @default.
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• W2884328367 date "2019-03-28" @default.
• W2884328367 modified "2023-10-14" @default.
• W2884328367 title "Resource Theory of Entanglement with a Unique Multipartite Maximally Entangled State" @default.
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• W2884328367 doi "https://doi.org/10.1103/physrevlett.122.120503" @default.
• W2884328367 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/30978102" @default.
• W2884328367 hasPublicationYear "2019" @default.
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