8 QUANTUM HOMODYNE TOMOGRAPHY AS AN INFORMATIONALLY COMPLETE POSITIVE OPERATOR VALUED MEASURE
Paolo Albini, Ernesto De Vito, Alessandro Toigo · 2016
We define a positive operator valued measure E on [0, 2π] × R describing the measurement of randomly sampled quadratures in quantum homodyne tomography, and we study its probabilistic properties.Moreover, we give a mathematical analysis of the relation between the description of a state in terms of E and the description provided by its Wigner transform.