Quantum state transformations and the Schubert calculus |
| |
Authors: | Sumit Daftuar |
| |
Institution: | a Institute for Quantum Information, Caltech 107-81, Pasadena, CA 91125, United States b School of Computer Science, McGill University, Montreal, Que. Canada H3A 2A7 |
| |
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. |
| |
Keywords: | 03 67 Mn |
本文献已被 ScienceDirect 等数据库收录! |
|