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We experimentally address the significance of fidelity as a figure of meritin quantum state reconstruction of discrete (DV) and continuous variable (CV)quantum optical systems. In particular, we analyze the use of fidelity inquantum homodyne tomography of CV states and maximum-likelihood polarizationtomography of DV ones, focussing attention on nonclassicality, entanglement andquantum discord as a function of fidelity to a target state. Our findings showthat high values of fidelity, despite well quantifying geometrical proximity inthe Hilbert space, may be obtained for states displaying opposite physicalproperties, e.g. quantum or semiclassical features. In particular, we analyzein details the quantum-to-classical transition for squeezed thermal states of asingle-mode optical system and for Werner states of a two-photon polarizationqubit system.

Assessing the significance of fidelity as a figure of merit in quantum state reconstruction of discrete and continuous variable systems