Events
DMS Linear Algebra/Algebra Seminar |
| Time: Oct 23, 2018 (04:00 PM) |
| Location: Parker Hall 354 |
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Details: Speaker: Samir Raouafi Title: Positive Semidefinite Block Matrices and Norm Inequalities
Abstract: Positive semidefinite block matrices occur as an efficient tool in matrix analysis and quantum information theory. In particular, those partitioned in two by two blocks allow to derive a lot of important norm inequalities. Hiroshima's 2003 result, which provides a majorization criteria for distillability of a bipartite quantum state, sheds light on an interesting norm inequality in matrix analysis. In this talk, we will discuss some extension of this inequality. Furthermore, we will constructively provide a counter-example of Bourin--Lee--Lin's conjecture.
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