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Related Experiment Videos

Violating Bell's inequality beyond Cirel'son's bound.

Adán Cabello1

  • 1Departamento de Física Aplicada II, Universidad de Sevilla, 41012 Sevilla, Spain. adan@us.es

Physical Review Letters
|February 28, 2002
PubMed
Summary
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Quantum correlations in three-qubit systems can violate the Clauser-Horne-Shimony-Holt (CHSH) inequality beyond established limits. This violation, observed in postselected systems, does not contradict Cirel

Area of Science:

  • Quantum Information Theory
  • Quantum Foundations
  • Quantum Correlations

Background:

  • The Cirel'son inequality provides an upper bound of 2√2 for the absolute value of quantum correlations in the Clauser-Horne-Shimony-Holt (CHSH) inequality.
  • The CHSH inequality is a fundamental tool for testing the predictions of quantum mechanics against local hidden variable theories.

Purpose of the Study:

  • To investigate whether quantum correlations within a three-qubit system can violate the CHSH inequality beyond the Cirel'son bound.
  • To reconcile such violations with the Cirel'son inequality by considering the role of postselection.

Main Methods:

  • Analysis of quantum correlations between two qubits within a larger three-qubit entangled system.
  • Application of postselection techniques to the measured quantum correlations.

Related Experiment Videos

  • Consideration of specific entangled states, such as the Greenberger-Horne-Zeilinger (GHZ) state.

    • Main Results:

    • Demonstration that quantum correlations of two qubits in a three-qubit system can indeed violate the CHSH inequality beyond the 2√2 bound.
    • Establishment that these observed violations are consistent with Cirel'son's inequality when postselection is applied.
    • Confirmation that the maximum possible violation of the CHSH inequality, reaching a value of 4, can be achieved using a GHZ state.

    Conclusions:

    • Postselection allows for CHSH inequality violations exceeding the Cirel'son bound, particularly within multipartite quantum systems.
    • The Greenberger-Horne-Zeilinger state is shown to be a key resource for achieving the maximal CHSH violation.
    • This research deepens the understanding of quantum correlations and the limits imposed by fundamental inequalities.