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We studied the effect of delocalized single-photon addition (DPA) on twoinput modes containing four cases: two independent coherent states (CSs), twoindependent thermal states (TSs), two independent single-mode squeezed vacuums(SVs), and an entangled two-mode squeezed vacuum (TMSV). In essence, four typesof new non-Gaussian entangled light states are generated. We studied threedifferent resources (including entanglement, discorrelation and Wignernegativity) for each two-mode light state. The output states after DPA areentangled, with more parameters and complex structures, characterizing moreWigner negativity or even discorrelation. In contrast, the CSs case is the mosttunable protocol, because its negativity under partial transposition,discorrelation, and Wigner logarithmic negativity are more sensitive tosuperposition phase than those in TSs, SVs and TMSV cases.

Two-mode light states before and after delocalized single-photon addition