Multihomogenous Nonnegative Polynomials and Sums of Squares
arXiv:1601.04623 · doi:10.1007/s00454-018-0011-3
Abstract
We refine and extend quantitative bounds, on the fraction of nonnegative polynomials that are sums of squares, to the multihomogenous case.
Revised the article to improve overall presentation. Included a section on background material upon referee's suggestion. The article now explains the connection between nonnegative polynomials and isotropic measures in a more detailed way. An application of the results in this article to quantum information theory was found independently from us, which we include the reference