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Setting Limits on Supersymmetry Using Simplified Models
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Published on: November 15, 2013

No-go theorems for ψ-epistemic models based on a continuity assumption.

M K Patra1, S Pironio, S Massar

  • 1Laboratoire d'Information Quantique CP225, Université libre de Bruxelles (ULB), Avenue F. D. Roosevelt 50, 1050 Bruxelles, Belgium.

Physical Review Letters
|September 17, 2013
PubMed
Summary

Quantum states are either ontic (real properties) or epistemic (knowledge). This study shows that epistemic interpretations of quantum states contradict quantum theory, using novel arguments and a single system copy.

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Area of Science:

  • Quantum Mechanics
  • Foundations of Physics
  • Quantum Information Theory

Background:

  • The fundamental nature of the quantum state (ψ) is debated: is it ontic (a real property) or epistemic (representing knowledge)?
  • Understanding the quantum state's nature is crucial for interpreting quantum theory and developing quantum technologies.
  • Previous work, like the Pusey-Barrett-Rudolph theorem, has explored constraints on ψ-ontic and ψ-epistemic models.

Purpose of the Study:

  • To investigate the viability of epistemic interpretations of the quantum state within the framework of quantum theory.
  • To derive constraints on ψ-epistemic models using minimal assumptions and a single quantum system.
  • To present an argument distinct from existing proofs regarding the nature of the quantum state.

Main Methods:

  • Assumed a natural continuity assumption for the quantum state.
  • Employed a weak separability assumption for quantum systems.
  • Developed a novel argument to test the consistency of epistemic interpretations with quantum theory.

Main Results:

  • Demonstrated that epistemic interpretations of the quantum state lead to contradictions with quantum theory.
  • Established a nontrivial constraint on ψ-epistemic models using only a single copy of the quantum system.
  • Provided an argument that differs from the Pusey-Barrett-Rudolph proof.

Conclusions:

  • Epistemic interpretations of the quantum state are incompatible with the principles of quantum theory.
  • The findings significantly constrain the landscape of possible ψ-epistemic models.
  • This research offers new insights into the fundamental interpretation of quantum mechanics.