Quantum state transformations and the Schubert calculus

Details Quantum state transformations and the Schubert calculus Quantum state transformations and the Schubert calculus

2004-10-07

arxiv.org/abs/quant-ph/0410052v1

Ann. Phys. 315, pp. 80-122, 2005.

Physics

Quantum Physics

40 pages. Accepted for publication in Annals of Physics

Scientific paper

10.1016/j.aop.2004.09.012

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.

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