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

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Cited by in corpus (26)

• Quantum Computing with Continuous-Variable Clusters
• Experimental generation of four-mode continuous-variable cluster states
• Demonstration of unconditional one-way quantum computations for continuous variables
• Demonstration of monogamy relations for Einstein-Podolsky-Rosen steering in Gaussian cluster states
• Gate sequence for continuous variable one-way quantum computation
• Experimental preparation of eight-partite linear and two-diamond shape cluster states for photonic qumodes
• Continuous-variable gate teleportation and bosonic-code error correction
• High-fidelity continuous-variable quantum teleportation toward multi-step quantum operations
• The Optical Frequency Comb as a One-Way Quantum Computer
• Demonstration of a Controlled-Phase Gate for Continuous-Variable One-Way Quantum Computation
• Universal linear Bogoliubov transformations through one-way quantum computation
• Noise analysis of single-qumode Gaussian operations using continuous-variable cluster states
• Toward demonstrating controlled-X operation based on continuous variable four-partite cluster state and quantum teleporters
• Sequential Quantum Teleportation of Optical Coherent States
• Graphical description of local Gaussian operations for continuous-variable weighted graph states
• Implementing quantum algorithms on temporal photonic cluster states
• Local complementation rule for continuous-variable four-mode unweighted graph states
• Standard forms and entanglement engineering of multimode Gaussian states under local operations
• Analysis of a continuous-variable quadripartite cluster state from a single optical parametric oscillator
• Quantum Logical Gates with Linear Quadripartite Cluster States of Continuous Variables
• Mixed state localizable entanglement for continuous variables
• Graphical rule of transforming continuous-variable graph states by local homodyne detection
• Nonlocal Nondegenerate Optical Parametric Amplifier Based on Genuine Multipartite Entanglement
• Fixed-point quantum continuous search algorithm with optimal query complexity
• Equivalent noise properties of scalable continuous-variable cluster states
• Optical implementation and entanglement distribution in Gaussian valence bond states