Double Slit with an Einstein-Podolsky-Rosen Pair

Abstract

In this somewhat pedagogical paper we revisit complementarity relations in bipartite quantum systems. Focusing on continuous variable systems, we examine the influential class of EPR-like states through a generalization to Gaussian states and present some new quantitative relations between entanglement and local interference within symmetric and asymmetric double-double-slit scenarios. This approach is then related to ancilla-based quantum measurements, and weak measurements in particular. Finally, we tie up the notions of distinguishability, predictability, coherence and visibility while drawing some specific connections between them.

Accepted to a special issue of Applied Sciences on "Quantum Optics for Fundamental Quantum Mechanics", M. Genovese and M. Gramegna (Eds.)

References in corpus (4)

• Entanglement in continuous variable systems: Recent advances and current perspectives
• Continuous variable entanglement on a chip
• Illustration of quantum complementarity using single photons interfering on a grating
• Coherence, Interference and Visibility