Distortions produced in optical homodyne tomography

An analysis of the homodyne tomography process that is often used to determine Wigner functions quantum optical states performed consider effects spatiotemporal degrees freedom. The removes those parts input state are not associated with mode local oscillator by tracing out Using a functional approach incorporate all freedom, we find this reduction in freedom introduces distortions observed function. also shows how scaling caused efficiency and resolution depends on strength oscillator. As examples, coherent states, Fock squeezed vacuum states.