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A Macroscopic Quantum Three-Box Paradox: Finding Consistency with Weak Macroscopic Realism.

Channa Hatharasinghe1, Manushan Thenabadu1, Peter D Drummond1

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This study explores the quantum three-box paradox using macroscopic systems. It shows the paradox is consistent with weak macroscopic realism, suggesting non-invasive measurement is key to quantum paradoxes.

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cat statesmacroscopic realismnon-invasive measurabilityquantum paradox

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Area of Science:

  • Quantum mechanics
  • Foundations of physics
  • Quantum information

Background:

  • The quantum three-box paradox challenges our understanding of quantum measurement and realism.
  • Existing resolutions often question non-invasive measurability or the assumption of realism.

Purpose of the Study:

  • To construct macroscopic versions of the quantum three-box paradox.
  • To investigate the compatibility of the paradox with macroscopic realism.

Main Methods:

  • Developed macroscopic analogs of the quantum three-box paradox.
  • Analyzed unitary operations and compared quantum mechanics predictions with mixed states.
  • Investigated the role of local and nonlocal operations in Alice's shuffling.

Main Results:

  • Demonstrated consistency between the paradox and a carefully defined weak macroscopic realism (wMR).
  • Showed the paradox manifests only when Alice's shuffling involves nonlocal operations.
  • Macroscopic paradox corresponds to a violation of a Leggett-Garg inequality.

Conclusions:

  • The quantum three-box paradox can be consistent with weak macroscopic realism.
  • The paradox highlights the failure of non-invasive measurability under certain quantum conditions.
  • Macroscopic systems can serve as valuable tools for probing fundamental quantum paradoxes.