On the determination of pure quantum states by the homodyne detection


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Abstract

The methods of reconstruction of the wave function of a pure state of a quantum system by quadrature distribution measured experimentally by the homodyne detection are considered. Such distribution is called optical tomogram of a state and containes one parameter θ. Wave function of a state is determined exactly by its optical tomogram if last one is known for all θ. But one can obtain optical tomogram from experiment of homodyne detection only for discrete number of θ. We introduce some approximate methods of reconstructing the state by such information about its optical tomogram.

About the authors

Andrey I Dnestryan

Moscow Institute of Physics and Technology (State University)

Email: dnestor@inbox.ru
Postgraduate Student, Dept. of Higher Mathematics 9, Inststitutskii per., Dolgoprudny, Moscow region, 141700, Russian Federation

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