Entanglement-based approach to quantum coherence, path information, and uncertainty

The seminal multibeam Young's interference experiment established the wave-particle duality principle, connecting quantum properties (interference) and path information. To quantify this connection, we propose a framework in which quantum measurement is applied to a subsystem of an entangled state, thus producing a quantum ensemble in the other part. The applied observable is characterized by its uncertainty quality arising from entropic uncertainty relations. In the proposed approach initial entanglement appears as a resource that can be transformed into classical information or an ensemble's coherence. Our framework provides a connection between such fundamental quantum information concepts as entanglement, coherence, and uncertainty.