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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MDPI AG
2020-01-01
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Series: | Applied Sciences |
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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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institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-12-17T10:35:18Z |
publishDate | 2020-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Applied Sciences |
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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