Three-Slit Interference: A Duality Relation

Abstract

The issue of interference and which-way information is addressed in the context of 3-slit interference experiments. A new path distinguishability ${\mathcal{D}}_Q$ is introduced, based on Unambiguous Quantum State Discrimination (UQSD). An inequality connecting the interference visibility and path distinguishability, $\mathcal{V}+\frac{2{\mathcal{D}}_Q}{3-{\mathcal{D}}_Q}\le 1$, is derived which puts a bound on how much fringe visibility and which-way information can be simultaneously obtained. It is argued that this bound is tight. For 2-slit interference, we derive a new duality relation which reduces to Englert's duality relation and Greenberger-Yasin's duality relation, in different limits.

Published version

References in corpus (3)

• Equivalence of wave-particle duality to entropic uncertainty
• Discriminating single-photon states unambiguously in high dimensions
• Quantum Twist to Complementarity: A Duality Relation

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