Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Verhandlungen der Deutschen Physikalischen Gesellschaft

Uncertainty relations and the Wehrl entropy

Kedar S. Ranade, Wolfgang P. Schleich

Published Jan 1, 2012• 0 citations
OpenAlex

Related papers

Uncertainty relations with quantum memory for the Wehrl entropy

Giacomo De Palma

arXiv:1709.04921•Letters in Mathematical Physics•Mar 12, 2018•6 citations

Wehrl-Lieb's inequality for entropy and the uncertainty relation

Marian Grabowski

Reports on Mathematical Physics•Oct 1, 1984•24 citations

Wehrl entropy as a measure of phase space uncertainty

Vladimír Bužek, Christoph H. Keitel, P. L. Knight

European Quantum Electronics Conference (EQEC)•Aug 24, 2005•0 citations

Research on the Denotation of the Quantum Effects for a Mesoscopic RLC Circuit by Wehrl Entropy

Xing-Lei Xu

By using the information-theoretic Wehrl entropy,the Wehrl entropy of a harmonic oscillator is obtained in thermal field.The mesoscopic RLC electric circuit is quantized.The relation between the Wehrl entropy and the quantum effects of mesoscopic RLC electric circuit is researched in thermal field.These results show that the Wehrl entropy is related to not only the engenfrequency,but also the temperature.And the quantum fluctuation and the corresponding uncertainty relation of charge and magnetic flux grow with the Wehrl entropy increasing and become small with the Wehrl entropy decreasing.So the Wehrl entropy can be regarded as a best measurement of the quantum fluctuation and the corresponding uncertainty of mesoscopic RLC electric circuit.

Journal of Zhengzhou University•Jan 1, 2008•0 citations

Entropy and the uncertainty principle

Roy B. Leipnik

Information and Control•Apr 1, 1959•49 citations

Wehrl entropy, entropic uncertainty relations, and entanglement

Stefan Floerchinger, Tobias Haas, Henrik Müller-Groeling

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 Bia\l{}ynicki-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.

arXiv:2103.07229•Physical Review A•Jun 28, 2021•36 citations
By using the information-theoretic Wehrl entropy,the Wehrl entropy of a harmonic oscillator is obtained in thermal field.The mesoscopic RLC electric circuit is quantized.The relation between the Wehrl entropy and the quantum effects of mesoscopic RLC electric circuit is researched in thermal field.These results show that the Wehrl entropy is related to not only the engenfrequency,but also the temperature.And the quantum fluctuation and the corresponding uncertainty relation of charge and magnetic flux grow with the Wehrl entropy increasing and become small with the Wehrl entropy decreasing.So the Wehrl entropy can be regarded as a best measurement of the quantum fluctuation and the corresponding uncertainty of mesoscopic RLC electric circuit.
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 Bia\l{}ynicki-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.