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Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states

Year: 2009
Type: article
Abstract: We present general numerical methods to construct witness operators for entanglement detection and estimation of the fidelity. Our methods are applied to detecting entanglement in the vicinity of a six-qubit Dicke state with three excitations and also to further entangled symmetric states. All our witnesses are designed to keep the measurement effort small. We also present general results on the efficient local decomposition of permutationally invariant operators, which makes it possible to measure projectors to symmetric states efficiently.
DOI: 10.1088/1367-2630/11/8/083002
Authors: Géza Tóth, Witlef Wieczorek, Roland Krischek, Nikolai Kiesel, Patrick Michelberger, Harald Weinfurter
Institutions: Ikerbasque, University of the Basque Country, Institute for Solid State Physics and Optics, Hungarian Academy of Sciences, Max Planck Institute of Quantum Optics, Austrian Academy of Sciences
Language: English
Open Access status: gold
Estimated APC paid: $907
Funders: Deutsche Forschungsgemeinschaft, Fonds National de la Recherche Luxembourg, Ministerio de Economía y Competitividad, Hungarian Scientific Research Fund, Magyar Tudományos Akadémia, Elitenetzwerk Bayern
OpenAlex ID: W2101319809
FWCI: 3.201
Cites: 53
Cited by: 49
Related to: 10