Coherent State Topological Cluster State Production

TL;DR

This paper explores constructing 3D topological cluster states using coherent state logic in quantum optics, demonstrating the feasibility with large cat states and analyzing measurement and error correction methods.

Contribution

It introduces a method for creating 3D topological cluster states with coherent states and assesses measurement techniques and error tolerance in this framework.

Findings

Large initial cat states enable the construction of extensive 3D cluster states.

Displaced photon number and homodyne detections effectively model basis measurements.

Teleportation and loss errors are analyzed for their impact on cluster state robustness.

Abstract

We present results illustrating the construction of 3D topological cluster states with coherent state logic. Such a construction would be ideally suited to wave-guide implementations of quantum optical processing. We investigate the use of a ballistic CSign gate, showing that given large enough initial cat states, it is possible to build large 3D cluster states. We model X and Z basis measurements by displaced photon number detections and x-quadrature homodyne detections, respectively. We investigate whether teleportation can aid cluster state construction and whether the introduction of located loss errors fits within the topological cluster state framework.