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.
Cite
@article{arxiv.2001.07168,
title = {Double Slit with an Einstein-Podolsky-Rosen Pair},
author = {Bar Y. Peled and Amit Te'eni and Danko Georgiev and Avishy Carmi and Eliahu Cohen},
journal= {arXiv preprint arXiv:2001.07168},
year = {2020}
}
Comments
Accepted to a special issue of Applied Sciences on "Quantum Optics for Fundamental Quantum Mechanics", M. Genovese and M. Gramegna (Eds.)