PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:" A Complete Set of Invariants for Density Operators Under Local Conjugation"
Seminar:Ph.D. Thesis Defense
Speaker:Jacob Turner, Adviser: Jason Morton, Penn State
Abstract:
A density operator of is a trace one, positive semi-definite matrix in the tensor product of the spaces End (V_i) for i=1,...,n. These are used in physics to represent a quantum system of n particles, the ith of which has dim (V_i) spins. One of the most important questions about a density operator is the entanglement of the state it represents. Almost every notion of entanglement is invariant under conjuagation by the affine cone over the Segre product of the unitary groups over each V_i. Using techniques from algebraic geometry and representation theory, we determine a finite set of invariant polynomials that completely seperate orbits of density operators.

Room Reservation Information

Room Number:MB114
Date:03 / 05 / 2015
Time:12:30pm - 02:59pm