Operational formulation of homodyne detection
arXiv:quant-ph/0404090 · doi:10.1088/0305-4470/37/29/010
Abstract
We obtain the standard quadrature-phase positive operator-valued measure (POVM) for homodyne detection directly and rigorously from the POVM for photon counting without directly employing the mean field approximation for the local oscillator. In addition we obtain correction terms for the quadrature-phase POVM that are applicable for relatively weak local oscillator field strengths and typical signal states.
15 pages, notes about strong local oscillator condition and on imperfections added, abstract changed slightly