Generation of quantum states with nonlinear squeezing by Kerr nonlinearity

TL;DR

This paper demonstrates a method to deterministically generate nonlinear squeezed quantum states using a single Kerr gate and Gaussian processing, with analysis of imperfections through numerical simulations.

Contribution

It introduces a novel approach to produce nonlinear squeezed states with minimal Kerr coupling, advancing quantum state engineering techniques.

Findings

Deterministic generation of nonlinear squeezed states using Kerr nonlinearity.

Kerr coupling can be made arbitrarily small depending on initial energy.

Numerical simulations show robustness against imperfections.

Abstract

Quantum states with nonlinear squeezing are a necessary resource for deterministic implementation of high-order quadrature phase gates that are, in turn, sufficient for advanced quantum information processing. We demonstrate that this class of states can be deterministically prepared by employing a single Kerr gate accompanied by suitable Gaussian processing. The required Kerr coupling depends on the energy of the initial system and can be made arbitrarily small. We also employ numerical simulations to analyze the effects of imperfections and to show to which extent can they be neglected.