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

TL;DR

This paper introduces a method to engineer quantum wave functions using a modified teleportation setup with non-Gaussian entanglement, enabling the generation of diverse non-Gaussian states for quantum information processing.

Contribution

It presents a novel wave-function engineering technique employing non-Gaussian entangled resources in quantum teleportation, expanding the toolkit for quantum state generation.

Findings

Able to generate Schrödinger cat states and superpositions of Fock states

Demonstrates the effectiveness of homodyne measurements in non-Gaussian state generation

Shows versatility of the setup as a quantum state generator

Abstract

We propose and analyze a setup to tailor the wave functions of the quantum states. Our setup is based on the quantum teleportation circuit, but instead of the usual two-mode squeezed state, 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 generations of the non-Gaussian states in complementary to the photon number detection.