title: A Michelson controlled-not gate with a single-lens astigmatic mode converter.
abstract: We propose and demonstrate experimentally a single lens design for an astigmatic mode converter that transforms the transverse mode of paraxial optical beams. As an application, we implement a controlled-not gate based on a Michelson interferometer in which the photon polarization is the control bit and the first order transverse mode is the target. As a further application, we also build a transverse mode parity sorter which can be useful for quantum information processing as a measurement device for the transverse mode qubit.
authors.affiliation: Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói - RJ, Brazil.
authors.forename: C E R
authors.initials: CE
authors.lastname: Souza
authors.forename: A Z
authors.initials: AZ
authors.lastname: Khoury