Double Slit with an Einstein–Podolsky–Rosen Pair

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 entanglem...

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Main Authors: Bar Y. Peled, Amit Te’eni, Danko Georgiev, Eliahu Cohen, Avishy Carmi
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/3/792
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author Bar Y. Peled
Amit Te’eni
Danko Georgiev
Eliahu Cohen
Avishy Carmi
author_facet Bar Y. Peled
Amit Te’eni
Danko Georgiev
Eliahu Cohen
Avishy Carmi
author_sort Bar Y. Peled
collection DOAJ
description 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.
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spelling doaj.art-1181d82d3d11464faf54300d4d2a0fd42022-12-21T21:52:23ZengMDPI AGApplied Sciences2076-34172020-01-0110379210.3390/app10030792app10030792Double Slit with an Einstein–Podolsky–Rosen PairBar Y. Peled0Amit Te’eni1Danko Georgiev2Eliahu Cohen3Avishy Carmi4Center for Quantum Information Science and Technology & Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba 8410501, IsraelFaculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar Ilan University, Ramat Gan 5290002, IsraelInstitute for Advanced Study, 30 Vasilaki Papadopulu Str., 9010 Varna, BulgariaFaculty of Engineering and the Institute of Nanotechnology and Advanced Materials, Bar Ilan University, Ramat Gan 5290002, IsraelCenter for Quantum Information Science and Technology & Faculty of Engineering Sciences, Ben-Gurion University of the Negev, Beersheba 8410501, IsraelIn 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.https://www.mdpi.com/2076-3417/10/3/792entanglementinterferencecomplementaritycontinuous variables
spellingShingle Bar Y. Peled
Amit Te’eni
Danko Georgiev
Eliahu Cohen
Avishy Carmi
Double Slit with an Einstein–Podolsky–Rosen Pair
Applied Sciences
entanglement
interference
complementarity
continuous variables
title Double Slit with an Einstein–Podolsky–Rosen Pair
title_full Double Slit with an Einstein–Podolsky–Rosen Pair
title_fullStr Double Slit with an Einstein–Podolsky–Rosen Pair
title_full_unstemmed Double Slit with an Einstein–Podolsky–Rosen Pair
title_short Double Slit with an Einstein–Podolsky–Rosen Pair
title_sort double slit with an einstein podolsky rosen pair
topic entanglement
interference
complementarity
continuous variables
url https://www.mdpi.com/2076-3417/10/3/792
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AT amitteeni doubleslitwithaneinsteinpodolskyrosenpair
AT dankogeorgiev doubleslitwithaneinsteinpodolskyrosenpair
AT eliahucohen doubleslitwithaneinsteinpodolskyrosenpair
AT avishycarmi doubleslitwithaneinsteinpodolskyrosenpair