Finding the optimal cluster state configuration. Cluster states classification by type of computations

TL;DR

This paper investigates how different continuous-variable cluster state configurations can be transformed to perform universal Gaussian quantum computations, focusing on identifying optimal arrangements for such tasks.

Contribution

It analyzes various cluster configurations to determine which are suitable for universal Gaussian operations in one-way quantum computation.

Findings

Identified cluster configurations suitable for universal Gaussian operations

Analyzed transformations in continuous-variable cluster states

Provided criteria for optimal cluster state configurations

Abstract

In this paper, we study the transformations that are obtained in one-way quantum computation on continuous-variable cluster states of various configurations. Of all possible cluster configurations, we choose those that are suitable for universal Gaussian operations.