Three-slit experiments and quantum nonlocality

Abstract

An interesting link between two very different physical aspects of quantum mechanics is revealed; these are the absence of third-order interference and Tsirelson's bound for the nonlocal correlations. Considering multiple-slit experiments - not only the traditional configuration with two slits, but also configurations with three and more slits - Sorkin detected that third-order (and higher-order) interference is not possible in quantum mechanics. The EPR experiments show that quantum mechanics involves nonlocal correlations which are demonstrated in a violation of the Bell or CHSH inequality, but are still limited by a bound discovered by Tsirelson. It now turns out that Tsirelson's bound holds in a broad class of probabilistic theories provided that they rule out third-order interference. A major characteristic of this class is the existence of a reasonable calculus of conditional probability or, phrased more physically, of a reasonable model for the quantum measurement process.

9 pages, no figure

References in corpus (3)

• Ruling Out Multi-Order Interference in Quantum Mechanics
• Limits on non-local correlations from the structure of the local state space
• A Representation of Quantum Measurement in Nonassociative Algebras

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• Gouy phase in non-classical paths in triple-slit interference experiment
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• Interference as an information-theoretic game
• A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras
• A Generalized Quantum Theory
• The Operational Choi-Jamiolkowski Isomorphism
• Exotic looped trajectories via quantum marking
• A no-go theorem for theories that decohere to quantum mechanics
• Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach
• Experimental triple-slit interference in a strongly-driven V-type artificial atom
• Super quantum probabilities and three-slit experiments -- Wright's pentagon state and the Popescu-Rohrlich box require third-order interference
• Violation of no signaling in higher order quantum measure theories