Geometry Seminar

Date: October 8, 2021

Time: 4:00PM - 5:00PM

Location: BLOC 302

Speaker: F. Holweck, U. Belfort/Auburn

Title: Graph states and the variety of principal minors for binary symmetric matrices.

Abstract: Abstract: Graph states are special types of quantum states well studied in quantum information theory for their potential applications to quantum error correcting codes or measurement-based quantum computing. The variety of principal minors is an algebraic variety introduced by Holz and Strumfels to study the relations among principal minors of matrices. Its study also has applications to various fields such as matrix theory, probability, and computer vision. In this talk I will explain how one can build a correspondence between the graph states classification under the so-called local Clifford group and the orbits of the variety of principal minors for symmetric matrices over the 2-elements field. This is joint work with Vincenzo Galgano (Trento Univ).