Three Slit Experiments and the Structure of Quantum Theory

Details Three Slit Experiments and the Structure of Quantum Theory Three Slit Experiments and the Structure of Quantum Theory

2009-09-25

arxiv.org/abs/0909.4787v1

Physics

Quantum Physics

7 pages, 1 figure. To appear in Foundations of Physics - Advances in Quantum Foundations issue

Scientific paper

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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