Possibility to generate any Gaussian cluster state by a multi-mode squeezing transformation

TL;DR

This paper presents a method to generate approximate Gaussian cluster states using a specific multi-mode squeezing transformation, enabling practical realization of these states with finite squeezing.

Contribution

It introduces a systematic way to determine the multi-mode squeezing transformation for approximating any Gaussian cluster state.

Findings

Method to construct multi-mode squeezing transformations

Faithful approximation of Gaussian cluster states with finite squeezing

Applicable to various Gaussian cluster state configurations

Abstract

Gaussian cluster states are ideal infinitely squeezed states. In practice it is possible to construct only approximated version of them with finite squeezing. Here we show how to determine the specific multi-mode squeezing transformation, which generates a faithful approximation of any given Gaussian cluster state.