Journal
FOUNDATIONS OF PHYSICS
Volume 41, Issue 3, Pages 396-405Publisher
SPRINGER
DOI: 10.1007/s10701-010-9429-z
Keywords
Quantum theory; Interference; Three slit experiment; Operational models; Tomography
Categories
Funding
- Government of Canada through NSERC
- CIFAR
- province of Ontario through OGS
- MRI
- Industry Canada
- 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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