Moment Problem and Homodyne Detection


Kiukas, J. (2007). Moment Problem and Homodyne Detection. Perimeter Institute. https://pirsa.org/07120029


Kiukas, Jukka. Moment Problem and Homodyne Detection. Perimeter Institute, Dec. 05, 2007, https://pirsa.org/07120029


          @misc{ pirsa_07120029,
            doi = {10.48660/07120029},
            url = {https://pirsa.org/07120029},
            author = {Kiukas, Jukka},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Moment Problem and Homodyne Detection},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {dec},
            note = {PIRSA:07120029 see, \url{https://pirsa.org}}

Jukka Kiukas Leibniz Universität Hannover


We describe the measurement statistics of the balanced homodyne detection scheme in terms of the moment operators of the associated positive operator measures. In particular, we give a mathematically rigorous proof for the fact that the high amplitude limit in the local oscillator leads to a measurement of a rotated quadrature operator of the signal _eld. Using these results, we also show that each covariant phase space observable can be measured with the eight-port homodyne detector.