{ "id": "1407.6326", "version": "v2", "published": "2014-07-23T18:29:17.000Z", "updated": "2016-09-01T05:40:15.000Z", "title": "Aspects of Complementarity and Uncertainty", "authors": [ "Radhika Vathsan", "Tabish Qureshi" ], "comment": "7 pages, RevTeX. Closest to the published version", "journal": "Int. J. Quant. Inf. 14(3), 1640031 (2016)", "doi": "10.1142/S0219749916400311", "categories": [ "quant-ph" ], "abstract": "The two-slit experiment with quantum particles provides many insights into the behaviour of quantum mechanics, including Bohr's complementarity principle. Here we analyze Einstein's recoiling slit version of the experiment and show how the inevitable entanglement between the particle and the recoiling slit as a which-way detector is responsible for complementarity. We derive the Englert-Greenberger-Yasin duality from this entanglement, which can also be thought of as a consequence of sum-uncertainty relations between certain complementary observables of the recoiling slit. Thus, entanglement is an integral part of the which-way detection process, and so is uncertainty, though in a completely different way from that envisaged by Bohr and Einstein.", "revisions": [ { "version": "v1", "updated": "2014-07-23T18:29:17.000Z", "comment": "Based on talk presented at IPQI 2014 at Bhubaneshwar", "journal": null, "doi": null }, { "version": "v2", "updated": "2016-09-01T05:40:15.000Z" } ], "analyses": { "keywords": [ "uncertainty", "analyze einsteins recoiling slit version", "entanglement", "which-way detection process", "bohrs complementarity principle" ], "tags": [ "journal article" ], "publication": { "publisher": "World Scientific" }, "note": { "typesetting": "RevTeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1407.6326V" } } }