Which-way double slit experiments and Born rule violation

TL;DR

This paper investigates how non-classical paths affect interference patterns in which-way double-slit experiments and proposes an exact measure for Born rule violation, challenging traditional assumptions.

Contribution

It demonstrates that accounting for non-classical paths alters interference patterns and introduces a new parameter for precise Born rule violation measurement.

Findings

Second detectors influence interference when non-classical paths are considered

Sorkin parameter is only approximate for Born rule violation

Proposes an exact alternative parameter for measuring 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.