## Mathematics Faculty Proceedings, Presentations, Speeches, Lectures

#### Title

Generalized Matrix Functions and Geometric Measure of Entanglement

#### Event Name/Location

20th Conference of the International Linear Algebra Society, Leuven, Belgium, July 11-15, 2016

#### Document Type

Conference Proceeding

#### Publication Date

7-12-2016

#### Abstract

Given a complex ** n **×

*matrix*

**n***and an irreducible character*

**A***of permutation group on*

**χ***letters, generalized matrix function*

**n***of*

**d**_{χ}(A)*can be thought as combinatorial generalization of matrix permanent and determinant. Due to its combinatorial nature, it is usually a demanding task to assign the construction some geometrical meaning. In this presentation, we discuss how generalized matrix functions serve as essential tools in determining geometric measure of entanglement of certain quantum states. Along the way, we obtain some unexpected geometric interpretations and investigate some examples.*

**A**#### NSUWorks Citation

Paksoy, Vehbi Emrah; Zhang, Fuzhen; and Chang, Haixia, "Generalized Matrix Functions and Geometric Measure of Entanglement" (2016). *Mathematics Faculty Proceedings, Presentations, Speeches, Lectures*. 365.

https://nsuworks.nova.edu/cnso_math_facpres/365

COinS

## Comments

Minisymposium: Linear Algebra and Quantum Computation