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Universal quantum computation with continuous-variable cluster states.

Nicolas C Menicucci1, Peter van Loock, Mile Gu

  • 1Department of Physics, The University of Queensland, Brisbane, Queensland 4072, Australia. nmen@princeton.edu

Physical Review Letters
|October 10, 2006
PubMed
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We generalize quantum computation models to continuous-variable systems using squeezed light. This enables universal quantum computation with non-Gaussian measurements and error reduction in optical experiments.

Area of Science:

  • Quantum Information Science
  • Continuous-Variable Quantum Computation
  • Optical Implementations

Background:

  • The cluster-state model is a foundational approach to quantum computation.
  • Continuous-variable (CV) systems offer unique advantages for quantum information processing.
  • Implementing universal quantum computation requires specific resources, including non-Gaussian elements.

Purpose of the Study:

  • To generalize the cluster-state model to continuous-variable quantum systems.
  • To propose a practical optical implementation for CV cluster-state quantum computation.
  • To explore the potential for error reduction in Gaussian operations using this framework.

Main Methods:

  • Generalization of the cluster-state model to CV systems.

Related Experiment Videos

  • Optical implementation proposal utilizing squeezed-light sources, linear optics, and homodyne detection.
  • Introduction of single-mode non-Gaussian measurements to achieve universal computation.

    • Main Results:

    • Demonstration that a non-Gaussian measurement suffices for universal quantum computation, with the cluster state remaining Gaussian.
    • Homodyne detection alone enables arbitrary multimode Gaussian transformations via the cluster state.
    • Proposal for an experiment to showcase cluster-based error reduction in Gaussian operations.

    Conclusions:

    • The proposed framework extends cluster-state quantum computation to CV systems.
    • Optical implementation is feasible using current technologies like squeezed light and homodyne detection.
    • The approach offers a pathway for robust quantum computation and error mitigation in optical systems.