Homodyning as Universal Detection

Giacomo Mauro D’Ariano
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Giacomo Mauro D’Ariano: Northwestern University, Department of Electrical and Computer Engineering

A chapter in Quantum Communication, Computing, and Measurement, 1997, pp 253-264 from Springer

Abstract: 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.

Keywords: Density Matrix; Wigner Function; Photon Number; Quantum Communication; Local Oscillator (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-5923-8_27

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DOI: 10.1007/978-1-4615-5923-8_27

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