TOMOGRAPHIC RECONSTRUCTION OF THE DENSITY OPERATOR FROM ITS NORMALLY ORDERED MOMENTS

The reconstruction of the density operator from the tomographic data ( rotated quadrature components) via the normally ordered moments of the density operator is investigated. It is shown how arbitrary normally ordered moments of arbitrary order n can be obtained from the quadratu re components for n + 1 discrete angles that can be chosen arbitrarily . An integration over the angles of the rotated quadrature components multiplied by discrete phase factors is not necessary and uses more th an the minimally necessary information about the rotated quadrature co mponents.