Separability properties of tripartite states with UxUxU-symmetry

Details Separability properties of tripartite states with UxUxU-symmetry Separability properties of tripartite states with UxUxU-symmetry

2000-10-27

arxiv.org/abs/quant-ph/0010096v1

Physics

Quantum Physics

16 pages, RevTeX, 14 figures. Extends quant-ph/0003008 with additional results. Submitted to Phys.Rev.A

Scientific paper

10.1103/PhysRevA.63.042111

We study separability properties in a 5-dimensional set of states of quantum systems composed of three subsystems of equal but arbitrary finite Hilbert space dimension d. These are the states, which can be written as linear combinations of permutation operators, or, equivalently, commute with unitaries of the form UxUxU. We compute explicitly the following subsets and their extreme points: (1) triseparable states, which are convex combinations of triple tensor products, (2) biseparable states, which are separable for a twofold partition of the system, and (3) states with positive partial transpose with respect to such a partition. Tripartite entanglement is investigated in terms of the relative entropy of tripartite entanglement and of the trace norm.

Affiliated with

Also associated with

No associations

Rating

Separability properties of tripartite states with UxUxU-symmetry 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 Separability properties of tripartite states with UxUxU-symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Separability properties of tripartite states with UxUxU-symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-234510