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Homodyning as Universal Detection

In: Quantum Communication, Computing, and Measurement

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  • Giacomo Mauro D’Ariano

    (Northwestern University, Department of Electrical and Computer Engineering
    Northwestern University, Department of Physics and Astronomy
    Istituto Nazionale di Fisica Nucleare)

Abstract

Homodyne tomography—i. e. homodyning while scanning the local oscillator phase—is now a well assessed method for “measuring” the quantum state. In this paper I will show how it can be used as a kind of universal detection, for measuring generic field operators, however at expense of some additional noise. The general class of field operators that can be measured in this way is presented, and includes also operators that are inaccessible to heterodyne detection. The noise from tomographical homodyning is compared to that from heterodyning, for those operators that can be measured in both ways. It turns out that for some operators homodyning is better than heterodyning when the mean photon number is sufficiently small. Finally, the robustness of the method to additive phase-insensitive noise is analyzed. It is shown that just half photon of thermal noise would spoil the measurement completely.

Suggested Citation

  • Giacomo Mauro D’Ariano, 1997. "Homodyning as Universal Detection," Springer Books, in: O. Hirota & A. S. Holevo & C. M. Caves (ed.), Quantum Communication, Computing, and Measurement, pages 253-264, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-5923-8_27
    DOI: 10.1007/978-1-4615-5923-8_27
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