Description

Claude Kloeckl, University of Vienna (Austria)

Thursday, 17th of December, 2015, at 15:00 hours

Location: seminar room of the Department of Theoretical Physics

Title: Alternative generators of the SU(d): Heisenberg-Weyl basis
observables and related applications

Abstract:

The Bloch vector formalism allows for a convenient and geometrical way to consider qubit systems. One big advantage in the qubit case are the convenient properties of Pauli basis, that can be used to represent them. In order to study higher dimensional qudit systems in a similar way, there is no unique analogue of  the Pauli Matrices. The canonical basis choice of higher dimensional systems are the generalized Gell-Mann matrices.

In the talk we present a different basis for qudits, a symmetrized
Hermann-Weyl basis. We go on to argue that this representation can be sensibly applied to problems in entanglement detection, as well as in the infinite-dimensional case.