Universal Quantum Computation with Continuous-Variable Cluster States

Details Universal Quantum Computation with Continuous-Variable Cluster States Universal Quantum Computation with Continuous-Variable Cluster States

2006-05-23

arxiv.org/abs/quant-ph/0605198v1

Phys. Rev. Lett. 97, 110501 (2006)

Physics

Quantum Physics

4 pages, no figures

Scientific paper

10.1103/PhysRevLett.97.110501

We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear optics, and homodyne detection. For universal quantum computation, a nonlinear element is required. This can be satisfied by adding to the toolbox any single-mode non-Gaussian measurement, while the initial cluster state itself remains Gaussian. Homodyne detection alone suffices to perform an arbitrary multi-mode Gaussian transformation via the cluster state. We also propose an experiment to demonstrate cluster-based error reduction when implementing Gaussian operations.

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