A Family of Norms With Applications In Quantum Information Theory II

Details A Family of Norms With Applications In Quantum Information Theory II A Family of Norms With Applications In Quantum Information Theory II

2010-06-04

arxiv.org/abs/1006.0898v1

Quantum Inf. Comput. 11 1 & 2 (2011), 104-123

Physics

Quantum Physics

19 pages, see also arXiv:0909.3907

Scientific paper

We consider the problem of computing the family of operator norms recently introduced in arXiv:0909.3907. We develop a family of semidefinite programs that can be used to exactly compute them in small dimensions and bound them in general. Some theoretical consequences follow from the duality theory of semidefinite programming, including a new constructive proof that there are non-positive partial transpose Werner states that are r-undistillable for arbitrary r. Several examples are considered via a MATLAB implementation of the semidefinite program, including the case of Werner states and randomly generated states via the Bures measure, and approximate distributions of the norms are provided. We extend these norms to arbitrary convex mapping cones and explore their implications with positive partial transpose states.

Affiliated with

Also associated with

No associations

Rating

A Family of Norms With Applications In Quantum Information Theory II 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 A Family of Norms With Applications In Quantum Information Theory II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Family of Norms With Applications In Quantum Information Theory II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-723009