DMS Algebra Seminar

Speaker: Ian Tan (Auburn University)

Title: Orbits and Invariants in Quantum Information Theory

Abstract: In the field of quantum information theory, one studies—among other things—the information processing tasks that can be achieved by taking advantage of a quantum phenomenon known as entanglement. There is a mathematical formalism that captures the notion of entanglement by elements of a vector space called state vectors. The local unitary and SLOCC (stochastic local operations with classical communication) groups act on this space, producing natural equivalence classes of state vectors. In this work, we consider these group actions and their invariants which are used to classify and distinguish state vectors.