Examples of Gaussian cluster computation

Abstract

We give simple examples that illustrate the principles of one-way quantum computation using Gaussian continuous-variable cluster states. In these examples, we only consider single-mode evolutions, realizable via linear clusters. In particular, we focus on Gaussian single-mode transformations performed through the cluster state. Our examples highlight the differences between cluster-based schemes and protocols in which special quantum states are prepared off-line and then used as a resource for the on-line computation.

15 pages, 3 figures

References in corpus (3)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Resource-efficient linear optical quantum computation
• Quantum Teleportation of Optical Quantum Gates

Cited by in corpus (9)

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• Local complementation rule for continuous-variable four-mode unweighted graph states
• Standard forms and entanglement engineering of multimode Gaussian states under local operations
• Nonlocal Nondegenerate Optical Parametric Amplifier Based on Genuine Multipartite Entanglement
• Optical implementation and entanglement distribution in Gaussian valence bond states