Semispectral measures as convolutions and their moment operators

Abstract

The moment operators of a semispectral measure having the structure of the convolution of a positive measure and a semispectral measure are studied, with paying attention to the natural domains of these unbounded operators. The results are then applied to conveniently determine the moment operators of the Cartesian margins of the phase space observables.

7 pages

References in corpus (2)

• A note on the measurement of phase space observables with an eight-port homodyne detector
• On the moment limit of quantum observables, with an application to the balanced homodyne detection