{ "id": "2109.11981", "version": "v3", "published": "2021-09-24T14:13:03.000Z", "updated": "2024-07-25T17:20:37.000Z", "title": "Multipartite Generalization of Geometric measure of Discord", "authors": [ "Ali Saif M. Hassan", "Pramod S. Joag" ], "comment": "40 pages, 1 figure. arXiv admin note: text overlap with arXiv:1202.0104", "journal": "Chinese Journal of Physics- 2024", "doi": "10.1016/j.cjph.2024.05.022", "categories": [ "quant-ph" ], "abstract": "Radhakrishnan et.al [Phys. Rev. Lett. 124, 110401 (2020)] proposed a generalization of quantum discord to multipartite systems, which is consistency with the conventional definition of discord in bipartite systems and derived explicit formulae for any states. These results are significant in capturing quantum correlations for multi-qubit systems. We propose a generalization of geometric measure of multipartite quantum discord in the same manner. We find generic forms of the generalization of geometric measure of quantum discord in a general N-partite quantum state. Further, we obtain computable exact formulas for the generalization of geometric measure of quantum discord in an N-qubit quantum state, which include the results obtained in [arXiv:2104.12344].", "revisions": [ { "version": "v3", "updated": "2024-07-25T17:20:37.000Z" } ], "analyses": { "keywords": [ "geometric measure", "multipartite generalization", "general n-partite quantum state", "n-qubit quantum state", "multipartite quantum discord" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable" } } }