Experimental relative entanglement potentials of single-photon states

Entanglement potentials (EPs) enable the characterization and quantification of the nonclassicality of single-mode optical fields by measuring the entanglement generated through beam splitting. We experimentally generated single-photon states and tomographically reconstructed the corresponding two-qubit states to determine EPs defined via popular two-qubit measures of entanglement. These include the potentials for the relative entropy of entanglement (REEP), concurrence, and negativity. Among our experimental states, we found those that are very close (at least for some ranges of parameters) to the theoretical upper and lower bounds on relative EPs (or relative nonclassicality), i.e., when one EP is maximized or minimized for a given value if another EP. We experimentally confirmed the counterintuitive theoretical result of Ref. [Phys. Rev. A 92, 062314 (2015)] that the relative nonclassicality (specifically, the negativity potential for given values of the REEP) of single-photon states can be increased by dissipation.