Central Moment Analogues to Linear Optically Generated Cluster States

TL;DR

This paper introduces a method using classical central moments to generate cluster states in linear quantum optics, removing the need for small squeezing and enabling deterministic state creation through statistical averaging.

Contribution

It presents a novel approach that replaces quantum squeezing requirements with classical statistical methods for cluster state generation.

Findings

Eliminates small squeezing requirement for high-fidelity detection

Enables deterministic cluster state generation via statistical averaging

Uses classical expectations on intensity moments in quantum optics

Abstract

Two-mode squeezed states in the limit of small squeezing, Hong-Ou-Mandel interference and post selection on coincidence counts are some of the staples of linear quantum optics. We show that by using classical expectations on central moments of intensities, we can remove the requirement of small squeezing necessary for high fidelity coincidence detection. Utilizing existing techniques to probabilistically generate a cluster state, we construct a statistical analogue with deterministic generation at the cost of losing the ability to feed forward and requiring statistical averaging.