Four-qubit PPT entangled symmetric states

Details Four-qubit PPT entangled symmetric states Four-qubit PPT entangled symmetric states

2012-03-16

arxiv.org/abs/1203.3711v2

Physics

Quantum Physics

5+4 pages, minor improvements

Scientific paper

We solve the open question of the existence of four-qubit entangled symmetric states with positive partial transpositions (PPT states). We reach this goal with two different approaches. First, we propose a half-analytical-half-numerical method that allows to construct multipartite PPT entangled symmetric states (PPTESS) from the qubit-qudit PPT entangled states. Second, we adapt the algorithm allowing to search for extremal elements in the convex set of bipartite PPT states [J. M. Leinaas, J. Myrheim, and E. Ovrum, Phys. Rev. A 76, 034304 (2007)] to the multipartite scenario. With its aid we search for extremal four-qubit PPTESS and show that generically they have ranks (5,7,8). Finally, we provide an exhaustive characterization of these states with respect to their separability properties.

Affiliated with

Also associated with

No associations

Rating

Four-qubit PPT entangled symmetric states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Four-qubit PPT entangled symmetric states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Four-qubit PPT entangled symmetric states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351936