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Enhancing quantum entanglement is important for many quantum informationprocessing applications. In this paper, we consider a protocol for entanglementenhancing in a two-mode squeezed vacuum state (TMSVS), attained based on photonsubtraction, photon catalysis, and photon addition. Central to such anoperation is the task of mixing and detecting number states with each mode ofTMSVS. We analyze various settings and find an optimal setup for improving theentanglement of the state.

Optimal entanglement enhancing via conditional measurements