Generation of continuous-variable cluster states of cylindrically polarized modes

TL;DR

This paper introduces two methods to generate continuous-variable cluster states using cylindrically polarized modes, enhancing quantum computation capabilities by integrating polarization and spatial degrees of freedom.

Contribution

The paper proposes novel schemes for creating addressable cluster states with cylindrically polarized modes, compatible with existing time-multiplexed quantum systems.

Findings

Successful implementation of a proof-of-principle experiment

Verification of quantum correlations between cluster nodes

Compatibility with large-scale cluster state generation

Abstract

Cluster states are an essential component in one-way quantum computation protocols. We present two schemes to generate addressable continuous-variable cluster states from quadrature squeezed cylindrically polarized modes. By including polarization in addition to the transverse spatial degree of freedom, elementary cluster states can be created in which four cluster nodes co-propagate within one paraxial vector beam. This approach is fundamentally compatible with existing time-multiplexed schemes that have been used to create the largest cluster states to date. We implement a proof-of-principle experiment of one of the proposed schemes and verify its feasibility by measuring the quantum correlations between the different nodes of the cluster state.