Entanglement in a class of multiqubit mixed states without multipartite tangles

Details Entanglement in a class of multiqubit mixed states without multipartite tangles Entanglement in a class of multiqubit mixed states without multipartite tangles

2008-06-12

arxiv.org/abs/0806.2017v2

Phys. Rev. A 78, 062325 (2008)

Physics

Quantum Physics

5 pages, 3 figures, version 2

Scientific paper

10.1103/PhysRevA.78.062325

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.

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