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Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality.

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Area of Science:

  • Quantum Information Science
  • Foundations of Quantum Mechanics

Background:

  • Bell nonlocality and Kochen-Specker contextuality are key quantum phenomena demonstrating nonclassical correlations.
  • These are typically witnessed by violations of Clauser-Horne-Shimony-Holt (CHSH) and Klyachko-Can-Binicioğlu-Shumovski (KCBS) inequalities, respectively.
  • Previous studies suggested a monogamous relationship, preventing simultaneous violation of both inequalities in standard Bell scenarios.

Purpose of the Study:

  • To investigate the possibility of joint violations of Bell nonlocality and Kochen-Specker contextuality.
  • To challenge the notion of monogamy between these two quantum phenomena.
  • To explore the implications for quantum information processing.

Main Methods:

  • Theoretical analysis using generalized Bell scenarios.
  • Experimental implementation using a photonic setup.
  • Testing for synchronous violation of CHSH and KCBS inequalities.

Main Results:

  • Demonstrated that generalized Bell scenarios allow for simultaneous violation of CHSH and KCBS inequalities.
  • Provided strong evidence against a universal monogamy relation between nonlocality and contextuality.
  • Photonic experiment confirmed theoretical predictions, showing experimental proof of coexistence.

Conclusions:

  • Bell nonlocality and Kochen-Specker contextuality can coexist and be jointly observed.
  • The concept of monogamy between these phenomena is not universally applicable.
  • This coexistence opens new avenues for joint applications in quantum information processing protocols.