Quantum homodyne tomography as an informationally complete positive-operator-valued measure
Paolo Albini, Ernesto De Vito, Alessandro Toigo · Journal of Physics A Mathematical and Theoretical · 2009
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.