Quantum state transformations and the Schubert calculus
Quantum Physics
2007-05-23 v1
Abstract
Recent developments in mathematics have provided powerful tools for comparing the eigenvalues of matrices related to each other via a moment map. In this paper we survey some of the more concrete aspects of the approach with a particular focus on applications to quantum information theory. After discussing the connection between Horn's Problem and Nielsen's Theorem, we move on to characterizing the eigenvalues of the partial trace of a matrix.
Cite
@article{arxiv.quant-ph/0410052,
title = {Quantum state transformations and the Schubert calculus},
author = {Sumit Daftuar and Patrick Hayden},
journal= {arXiv preprint arXiv:quant-ph/0410052},
year = {2007}
}
Comments
40 pages. Accepted for publication in Annals of Physics