DMS Algebra Seminar

Speaker: Frédéric Holweck (Université de Technologie de Belfort-Montbéliard/Laboratoire Interdisciplinaire Carnot de Bourgogne)

Title: Graph states and the variety of principal minor

Abstract: In quantum information graph states are quantum states that can be encoded by a graph. They are used in many applications in quantum information like error correcting codes, measured based quantum computation, etc. The variety of binary symmetric principal minors is a well-known object in algebraic geometry with application to matrix theory, probability, and computer vision. I'll present in this talk some recent work with Vincenzo Galgano where we established a bijection between the orbits of graph states under Local Clifford operations and the natural orbits of the variety of binary symmetric principal minors.