Physics – Quantum Physics
Scientific paper
2003-02-10
Physics
Quantum Physics
Scientific paper
This paper derives an inequality relating the p-norm of a positive 2 x 2 block matrix to the p-norm of the 2 x 2 matrix obtained by replacing each block by its p-norm. The inequality had been known for integer values of p, so the main contribution here is the extension to all values p >= 1. In a special case the result reproduces Hanner's inequality. As an application in quantum information theory, the inequality is used to obtain some results concerning maximal p-norms of product channels.
No associations
LandOfFree
Inequality for p-norms of positive matrices 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 Inequality for p-norms of positive matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inequality for p-norms of positive matrices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-73398