Reconstruction of the Wavefunction from the Photon Number and Quantum Phase Distributions

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Abstract
The problem of a reconstruction of relative phases in the one-mode photon wavefunction from a given photon number distribution and the modulus of the wavefunction in the phase representation is solved for the case of a finite superposition of Fock states. The solution involves two independent numerical algorithms, both based on a Fourier transform from the occupation number representation to the phase domain.