Which-way double slit experiments and Born rule violation

Abstract

In which-way double-slit experiments with perfect detectors, it is assumed that having a second detector at the slits is redundant, as it will not change the interference pattern. We however show that if higher-order or non-classical paths are accounted for, the presence of the second detector will have an effect on the interference pattern. Accounting for these non-classical paths also means that the Sorkin parameter in triple-slit experiments is only an approximate measure of Born rule violation. Using the difference between single and double which-way detectors, we give an alternative parameter which is an exact measure of Born rule violation.

7 pages, 4 figures

References in corpus (6)

• Atom Interferometers
• Higher-order interference and single-system postulates characterizing quantum theory
• Obtaining tight bounds on higher-order interferences with a 5-path interferometer
• Three path interference using nuclear magnetic resonance: a test of the consistency of Born's rule
• Higher-order interference in extensions of quantum theory
• Experimental Test of Born's Rule by Inspecting Third-Order Quantum Interference on a Single Spin in Solids

Cited by in corpus (5)

• Exotic looped trajectories via quantum marking
• Sorkin parameter for type-I spontaneous parametric down-conversion biphotons and matter waves
• Significant nonclassical paths with atoms and cavities in the double-slit experiment
• Derive the Born's rule from environment-induced stochastic dynamics of wave-functions in an open system
• The cognitive triple-slit experiment