Wave-function engineering via conditional quantum teleportation with a non-Gaussian entanglement resource

We propose and analyze a setup to tailor the wave functions of quantum states. Our setup is based on the quantum teleportation circuit, but instead of the usual two-mode squeezed state, a two-mode non-Gaussian entangled state is used. Using this setup, we can generate various classes of quantum states such as Schrodinger cat states, four-component cat states, superpositions of Fock states, and cubic phase states. These results demonstrate the versatility of our system as a state generator and suggest that conditioning using homodyne measurements is an important tool in the generation of the non-Gaussian states complementarily to photon number detection.

Automated summary

The study introduces a new method to tailor the wave functions of quantum states using non-Gaussian entangled states, allowing for the generation of various classes of quantum states. The results highlight the importance of conditioning using homodyne measurements in complement to photon number detection for generating non-Gaussian states.