Compact Gaussian quantum computation by multi-pixel homodyne detection

TL;DR

This paper proposes a compact method for generating and detecting continuous variable cluster states for Gaussian quantum computation using multi-pixel homodyne detection with classical data post-processing, integrating the linear optics network into the measurement stage.

Contribution

It introduces a novel, compact approach that combines cluster state production and measurement, simplifying Gaussian quantum computation setups.

Findings

Demonstrates cluster state generation with multi-pixel homodyne detection

Shows how to incorporate linear optics into measurement stage

Generalizes method for Gaussian quantum computation

Abstract

We study the possibility of producing and detecting continuous variable cluster states in an optical set-up in an extremely compact fashion. This method is based on a multi-pixel homodyne detection system recently demonstrated experimentally, which includes classical data post-processing. It allows to incorporate the linear optics network, usually employed in standard experiments for the production of cluster states, in the stage of the measurement. After giving an example of cluster state generation by this method, we further study how this procedure can be generalized to perform gaussian quantum computation.