Noisy simultaneous measurement of noncommuting observables in eight- and twelve-port homodyne detection
Alfredo Luis, Jan Peřina · Quantum and Semiclassical Optics Journal of the European Optical Society Part B · 1996
Classically eight- and twelve-port homodyne detectors can be used to measure the Stokes parameters of a two-mode field simultaneously. We analyse these schemes in the quantum case as approximate or noisy joint measurements of the noncommuting Stokes operators. The statistics of the measurement are described in terms of these operators and noise. The twelve-port detector is also examined as allowing a noisy simultaneous measurement of the quadratures and intensity of a one-mode field. The vectors governing the statistics of the measurement are found. A simple procedure for obtaining the Wigner function emerges.