State reconstruction formulas for the s-distributions and quadratures

Abstract

We consider the method of infinite matrix inversion in the context of quantum state reconstruction. Using this method we give rigorous proofs for reconstruction formulas for the Cahill-Glauber s-parametrized distributions and the rotated quadrature distributions. We also demonstrate how to construct the s-distributions from the quadrature data.

26 pages

References in corpus (2)

• Homodyne Detection and Quantum State Reconstruction
• Quantum tomography, phase space observables, and generalized Markov kernels

Cited by in corpus (2)

• Inefficient eight-port homodyne detection and covariant phase space observables
• Density matrix reconstruction from displaced photon number distributions