##### Department of Mathematics,

University of California San Diego

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### Quantum - Analysis

## Christopher K. King

#### Northeastern University

## Matrix inequalities and quantum information theory

##### Abstract:

Quantum information theory has generated interesting conjectures concerning products of completely positive maps on matrix algebras. This talk will describe the background to these conjectures and also some recent proofs in special cases. Matrix inequalities have played an important role in these results, and the talk will describe applications of the Lieb-Thirring inequality and an extension of Hanner's inequality to this problem.

Host: Bruce Driver

### May 12, 2004

### 3:00 PM

### AP&M 7218

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