4.1 Article

Three Slit Experiments and the Structure of Quantum Theory

Journal

FOUNDATIONS OF PHYSICS
Volume 41, Issue 3, Pages 396-405

Publisher

SPRINGER
DOI: 10.1007/s10701-010-9429-z

Keywords

Quantum theory; Interference; Three slit experiment; Operational models; Tomography

Funding

  1. Government of Canada through NSERC
  2. CIFAR
  3. province of Ontario through OGS
  4. MRI
  5. Industry Canada
  6. Ministry of Research and Innovation

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In spite of the interference manifested in the double-slit experiment, quantum theory predicts that a measure of interference defined by Sorkin and involving various outcome probabilities from an experiment with three slits, is identically zero. We adapt Sorkin's measure into a general operational probabilistic framework for physical theories, and then study its relationship to the structure of quantum theory. In particular, we characterize the class of probabilistic theories for which the interference measure is zero as ones in which it is possible to fully determine the state of a system via specific sets of 'two-slit' experiments.

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