Coherent State Topological Cluster State Production

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.

9 pages, 17 figures

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• Characterizations and Quantifications of Macroscopic Quantumness and Its Implementations using Optical Fields
• All-photonic architectural roadmap for scalable quantum computing using Greenberger-Horne-Zeilinger states
• Exact and approximate continuous-variable gate decompositions
• Information processing at the speed of light
• Highly photon loss tolerant quantum computing using hybrid qubits
• Efficient noiseless linear amplification for light fields with larger amplitudes
• Tailored cluster states with high threshold under biased noise
• Bell inequality tests using asymmetric entangled coherent states in asymmetric lossy environments
• Exact dynamics for optical coherent-state qubits subject to environment noise
• Coherent manipulation of graph states composed of finite-energy Gottesman-Kitaev-Preskill-encoded qubits
• Universal resource-efficient topological measurement-based quantum computation via color-code-based cluster states
• Generation of distributed entangled coherent states over a lossy environment with inefficient detectors
• Deterministic amplification of Schroedinger cat states in circuit quantum electrodynamics
• Implementation of traveling odd Schr$\ddot{o}$dinger cat states in circuit-QED
• Linear optical quantum computing with a hybrid squeezed cat code