Simplex of bound entangled multipartite qubit states

Autor(en)

Beatrix Hiesmayr, F Hipp, Marcus Huber, Philipp Krammer, Christoph Spengler

Abstrakt

We construct a simplex for multipartite qubit states of even number n of qubits, which has the same geometry concerning separability, mixedness, kind of entanglement, amount of entanglement, and nonlocality as the bipartite qubit states. We derive the entanglement of the class of states which can be described by only three real parameters with the help of a multipartite measure for all discrete systems. We prove that the bounds on this measure are optimal for the whole class of states and that it reveals that the states possess only n-partite entanglement and not, e.g., bipartite entanglement. We then show that this n-partite entanglement can be increased by stochastic local operations and classical communication to the purest maximal entangled states. However, pure n-partite entanglement cannot be distilled; consequently all entangled states in the simplex are n-partite bound entangled. We study also Bell inequalities and find the same geometry as for bipartite qubits. Moreover, we show how the (hidden) nonlocality for all n-partite bound entangled states can be revealed.

Organisation(en)

Teilchenphysik

Journal

Physical Review A

Band

78

Anzahl der Seiten

10

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.78.042327

Publikationsdatum

2008

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/simplex-of-bound-entangled-multipartite-qubit-states(beebe364-825f-40b5-a5c7-f55c9b06edb0).html