A Simple Scheme for Preparation of the Approximate Gottesman-Kitaev-Preskill States with Random Walk Mechanism

TL;DR

This paper proposes a straightforward optical method using a random walk mechanism to prepare approximate GKP states in continuous-variable quantum systems, potentially simplifying experimental realization.

Contribution

It introduces a novel, simple optical scheme employing a random walk mechanism for approximate GKP state preparation, extending applicability to various CV systems.

Findings

Effective scheme for GKP state preparation demonstrated

Potential for easier implementation in optical systems

Generalization to other continuous-variable platforms discussed

Abstract

The Gottesman-Kitaev-Preskill (GKP) coding is proven to be a good candidate for encoding a qubit on continuous variables (CV) since it is robust under random-shift disturbance. Its preparation in optical systems, however, is challenging to realize in nowadays state-of-the-art experiments. In this article, we propose a simple optical setup for preparing the approximate GKP states by employing a random walk mechanism. We demonstrate this idea by considering the encoding on the transverse position of a single-mode pulse laser. We also discuss generalization and translation to other types of physical CV systems.