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 $\theta$.
Wave function of a state is determined exactly by its optical tomogram if last one is known for all $\theta$.
But one can obtain optical tomogram from experiment of homodyne detection only for discrete number of $\theta$.
We introduce some approximate methods of reconstructing the state by such information about its optical tomogram.
Keywords:quantum tomography, quantum state, density operator, wave function.
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