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Computational power of correlations.

Janet Anders1, Dan E Browne

  • 1Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom. janet@qipc.org

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

This study precisely defines the computational power of correlations in quantum computation. It reveals that specific quantum correlations, like those in the Greenberger-Horne-Zeilinger and Clauser-Horne-Shimony-Holt problems, are optimal for classical computation.

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Area of Science:

  • Quantum Information Science
  • Computational Complexity Theory

Background:

  • Measurement-based quantum computation relies on correlations within quantum states.
  • The precise computational power derived from these correlations remains an open question.

Purpose of the Study:

  • To develop a general framework for quantifying the computational power of correlations in quantum computation.
  • To identify optimal resource states for measurement-based classical computation.

Main Methods:

  • Formal definition of a general framework to analyze computational power.
  • Investigation of specific quantum correlation scenarios, including Greenberger-Horne-Zeilinger and Clauser-Horne-Shimony-Holt problems.

Main Results:

  • Precise definition of the computational power of correlations.
  • Identification of resource states for measurement-based classical computation.
  • Greenberger-Horne-Zeilinger and Clauser-Horne-Shimony-Holt correlations shown as optimal examples.

Conclusions:

  • Entangled resource states possess significant computational power for classical tasks.
  • Violation of local realistic models is intrinsically linked to the computational power of entangled states.