The depolarising channel and Horns problem
Quantum Physics
2013-02-27 v1 Information Theory
math.IT
Representation Theory
Abstract
We investigate the action of the depolarising (qubit) channel on permutation invariant input states. More specifically, we raise the question on which invariant subspaces the output of the depolarising channel, given such special input, is supported. An answer is given for equidistributed states on isotypical subspaces, also called symmetric Werner states. Horns problem and two of the corresponding inequalities are invoked as a method of proof.
Cite
@article{arxiv.1302.6262,
title = {The depolarising channel and Horns problem},
author = {Janis Noetzel},
journal= {arXiv preprint arXiv:1302.6262},
year = {2013}
}
Comments
7 pages, no figures