##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Shmuel Friedland

#### University of Illinois, Chicago

## Tensors and entanglement in quantum physics

##### Abstract:

Tensor, or multiarrays with $d>=3$ indices, are ubiquitous in modern applications, mainly due to data explosion. While matrices, $d=2$, are well understood and widely used, tensors pose theoretical and numerical challenges. Tensors also arise naturally in quantum physics, when dealing with d-particle systems. In this talk, for general mathematical audience, we will describe several fundamental results and problems in tensors: tensor ranks, low rank approximation of tensors, spectral and nuclear norm of tensors, and their relation to the entanglement and nonseparability in quantum information theory.

Hosts: Jiawang Nie and Rayan Saab

### April 28, 2016

### 4:00 PM

### AP&M 6402

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