Spectral Inequalities and Quantum Marginal Problems

报告题目: Spectral Inequalities and Quantum Marginal Problems


报告人:Yiu Tung PoonIowa State University






摘要: The characterization of the spectra of Hermitian matrices A, B and C satisfying A + B = C began with Weyl's inequalities in 1912. The prob-lem was solved 15 years ago with conditions given by a set of linear inequalities. Recently, similar inequalities arise in the solution of some quantum marginal prob-lems. However, in both cases, the number of inequalities grows exponentially with the size of the matrices. In this talk, we will discuss the connection among these and other related problems. In particular, we are interested in speci_c problems for which the solution can be given by a small set of inequalities.




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