Measurement-induced cubic phase state generation

TL;DR

This paper proposes a high-fidelity protocol for generating cubic phase states, crucial for universal quantum computing, using Gaussian operations and detection, optimized through numerical multiparameter methods.

Contribution

It introduces a novel protocol for cubic phase state generation with optimized parameters to maximize fidelity and detection probability.

Findings

High-fidelity cubic phase state generation demonstrated.

Parameter optimization improves success probability.

Analysis of imperfections' impact on fidelity.

Abstract

The cubic phase state constitutes a nonlinear resource that is essential for universal quantum computing protocols. However, constructing such non-classical states faces many challenges. In this work, we present a protocol for generating a cubic phase state with high fidelity. The protocol is based on a set of Gaussian operations assisted by a detection operation. To find the proper set of parameters that results in both high fidelity and high detection probability, we provide a numerical multiparameter optimization. We investigate a broad range of target states and study how parameter imperfections influence fidelity.