Three Slit Experiments and the Structure of Quantum Theory

Foundations of Physics 41 (3):396-405 (2011)

Abstract
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
Keywords Quantum theory  Interference  Three slit experiment  Operational models  Tomography
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DOI 10.1007/s10701-010-9429-z
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Interferometric Computation Beyond Quantum Theory.Andrew J. P. Garner - 2018 - Foundations of Physics 48 (8):886-909.
A Generalized Quantum Theory.Gerd Niestegge - 2014 - Foundations of Physics 44 (11):1216-1229.
Three-Slit Experiments and Quantum Nonlocality.Gerd Niestegge - 2013 - Foundations of Physics 43 (6):805-812.

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