Physics – Quantum Physics
Scientific paper
2011-12-22
Physics
Quantum Physics
18 pages
Scientific paper
It is known that random quantum channels exhibit significant violations of multiplicativity of maximum output p-norms for any p>1. In this work, we show that a weaker variant of multiplicativity nevertheless holds for these channels. For any constant p>1, given a random quantum channel N (i.e. a channel whose Stinespring representation corresponds to a random subspace S), we show that with high probability the maximum output p-norm of n copies of N decays exponentially with n. The proof is based on relaxing the maximum output infinity-norm of N to the operator norm of the partial transpose of the projector onto S, then calculating upper bounds on this quantity using ideas from random matrix theory.
No associations
LandOfFree
Weak multiplicativity for random quantum channels 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 Weak multiplicativity for random quantum channels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weak multiplicativity for random quantum channels will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-306261