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Generalized Hardy's Paradox.

Shu-Han Jiang1,2, Zhen-Peng Xu1,3, Hong-Yi Su4

  • 1Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071, People's Republic of China.

Physical Review Letters
|February 27, 2018
PubMed
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We introduce a general framework for n-particle Hardy

Area of Science:

  • Quantum mechanics
  • Quantum information theory
  • Foundations of physics

Background:

  • Hardy's paradox demonstrates the conflict between quantum mechanics and local realism.
  • Previous extensions of Hardy's paradox have been limited in scope.

Purpose of the Study:

  • To present the most general framework for n-particle Hardy's paradoxes.
  • To demonstrate stronger paradoxes that highlight quantum mechanical conflict with local realism.
  • To construct generalized Hardy's inequalities for detecting Bell's nonlocality.

Main Methods:

  • Development of a generalized framework for n-particle Hardy's paradoxes.
  • Mathematical analysis to determine success probabilities.
  • Construction of generalized Hardy's inequalities.

Related Experiment Videos

  • Proposal for experimental observation using three qubits.

    • Main Results:

    • The framework unifies Hardy's original paradox and Cereceda's extension.
    • For n≥3, generalized paradoxes with success probability up to 1/2^{n-1} are demonstrated.
    • These paradoxes are stronger in showing the conflict between quantum mechanics and local realism.
    • New generalized Hardy's inequalities are derived.

    Conclusions:

    • The generalized framework provides a comprehensive understanding of Hardy's paradoxes.
    • Stronger paradoxes and inequalities reveal deeper insights into quantum nonlocality.
    • Experimental verification of these stronger paradoxes is feasible and proposed.