Quantum nonlocally correlated observables for non-Gaussian states

Quantum nonlocally correlated observables of the squeezed Bell-like states are investigated. We find that the higher amount of the entanglement does not always mean the stronger correlation of positions and momentums in the non-Gaussian states such as the photon-added states and the squeezed number states. Quantum nonlocal correlations of the amplitude-squared operators signal the entanglement existence of all the squeezed Bell-like states.