Physics

Prof. Ravi Rau
Louisiana State University

Abstract:

While symmetry considerations have played a central role in many areas of physics, this has not been generally true in the new field of quantum information (computation, cryptography, and teleportation). We will discuss states and operators of two (or more) qubits (spin-1/2), and higher dimensional "qudits," in terms of the symmetry groups and algebras pertaining to them. The study of the time evolution of such systems can gain much from the insights and techniques provided by such considerations, especially of sub-groups relevant to particular Hamiltonians. Geometrical pictures that generalize the familiar Bloch sphere of a single spin/qubit are one product of such studies, useful both for calculations and experimental measurements.