Entanglement in a class of multiqubit mixed states without multipartite tangles

Abstract

Based on quantum complementary relations (QCRs) and a purification scenario, we analyze a class of N-qubit mixed states that are entangled but do not have two-, and genuine three-, four-, ..., N-qubit entanglements. It is shown that entanglement (one-tangle or negativity) in these mixed states is closely related to the QCR entanglement of their purified states. In particular, it is elaborated that when the mixed state does not have multipartite tangles (two- and higher tangles), its entanglement is actually a kind of genuine multipartite QCR entanglement between the system and its environment.

5 pages, 3 figures, version 2

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Cited by in corpus (10)

• General monogamy relation for the entanglement of formation in multiqubit systems
• Entanglement monogamy and entanglement evolution in multipartite systems
• Exploring multipartite quantum correlations with the square of quantum discord
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
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