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Area of Science:

  • Quantum Physics
  • Foundations of Quantum Mechanics
  • Quantum Information

Background:

  • Quantum theory's counterintuitive concepts like wave-particle duality, superposition, and entanglement challenge classical intuition.
  • Hidden-variable (HV) theories were developed to reconcile quantum mechanics with classical expectations.
  • Advancements in quantum technologies enable experimental testing of quantum theory against HV theories.

Purpose of the Study:

  • To investigate an entanglement-assisted quantum delayed-choice experiment.
  • To determine if extending hidden-variable assumptions to controlling devices resolves or exacerbates contradictions with quantum mechanics.
  • To compare quantum mechanics with HV theories under specific conditions: objectivity, determinism, and local independence.

Main Methods:

  • Analysis of an entanglement-assisted quantum delayed-choice experiment.
  • Comparison of predictions from quantum mechanics and hidden-variable theories.
  • Evaluation of HV theories satisfying objectivity, determinism, and local independence.

Main Results:

  • Extending hidden-variable assumptions to controlling devices intensifies the conflict with quantum mechanics.
  • Quantum mechanics is compatible with any two of the conditions (objectivity, determinism, local independence).
  • A conflict arises when all three HV conditions are imposed, persisting even with non-zero entanglement.

Conclusions:

  • Hidden-variable theories face significant challenges when confronted with entanglement-assisted quantum experiments.
  • The study highlights the incompatibility of certain fundamental assumptions of hidden-variable theories with observed quantum phenomena.
  • An experiment is proposed to empirically validate these findings and further restrict hidden-variable theories.