Wave-function engineering via conditional quantum teleportation with a non-Gaussian entanglement resource
Warit Asavanant, Kan Takase, Kosuke Fukui, Mamoru Endo, Jun–ichi Yoshikawa, Akira Furusawa
Abstract
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 Schr\"odinger 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.