Wehrl entropy, entropic uncertainty relations, and entanglement

• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Verfasst von: Haas, Tobias [VerfasserIn]
• Verfasst von: Müller-Groeling, Henrik [VerfasserIn]
• Titel: Wehrl entropy, entropic uncertainty relations, and entanglement
• Verf.angabe: Stefan Floerchinger, Tobias Haas, and Henrik Müller-Groeling
• E-Jahr: 2021
• Jahr: 28 June 2021
• Umfang: 13 S.
• Fussnoten: Gesehen am 10.07.2021
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2021
• Band/Heft Quelle: 103(2021), 6, Artikel-ID 062222, Seite 1-13
• ISSN Quelle: 2469-9934
• DOI: doi:10.1103/PhysRevA.103.062222
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1765994195

Abstract

Wehrl entropy is an entropy associated with the Husimi quasiprobability distribution. We discuss how it can be used to formulate entropic uncertainty relations and for a quantification of entanglement in continuous variables. We show that the Wehrl-Lieb inequality is closer to equality than the usual Białynicki-Birula-Mycielski entropic uncertainty relation almost everywhere. Furthermore, we show how Wehrl mutual information can be used to obtain a measurable perfect witness for pure state bipartite entanglement, which additionally provides a lower bound on the entanglement entropy.