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

arXiv:1709.04921 · Letters in Mathematical Physics

Uncertainty relations with quantum memory for the Wehrl entropy

Giacomo De Palma

Published Mar 12, 2018• 6 citations
arXivHTMLPDF
DOI
10.1007/s11005-018-1067-y

Related papers

Uncertainty relations and the Wehrl entropy

Kedar S. Ranade, Wolfgang P. Schleich

Verhandlungen der Deutschen Physikalischen Gesellschaft•Jan 1, 2012•0 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

Stronger entropic uncertainty relations with multiple quantum memories

Tian-Yu Wang, Dong Wang

Physics Letters A•Feb 9, 2024•13 citations

Relation Between the Wehrl Entropy and the Quantum Effects of Mesoscopic Circuit

Xing-Lei Xu

By using the quantum canonic ensemble theory,the density matrix and the Wehrl entropy of a harmonic oscillator are derived in a thermal field.The mesoscopic RLC series circuit is equivalent to a harmonic oscillator.The relation between the Wehrl entropy and the quantum effects of mesoscopic circuit is proposed at a finite temperature.It is shown that the Wehrl entropy of a harmonic oscillator not only depends on the eigenfrequency,but also relies on the temperature.The quantum fluctuations of charge,magnetic flux and the corresponding uncertainty relation increase monotonously with the Wehrl entropy,thereby increase monotonously with the temperature,and consistent with results of the thermal field dynamics(TFD).So the Wehrl entropy can be regarded as a measurement of the quantum effects of the mesoscopic circuit.

Journal of Xiamen University•Jan 1, 2008•0 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.
By using the quantum canonic ensemble theory,the density matrix and the Wehrl entropy of a harmonic oscillator are derived in a thermal field.The mesoscopic RLC series circuit is equivalent to a harmonic oscillator.The relation between the Wehrl entropy and the quantum effects of mesoscopic circuit is proposed at a finite temperature.It is shown that the Wehrl entropy of a harmonic oscillator not only depends on the eigenfrequency,but also relies on the temperature.The quantum fluctuations of charge,magnetic flux and the corresponding uncertainty relation increase monotonously with the Wehrl entropy,thereby increase monotonously with the temperature,and consistent with results of the thermal field dynamics(TFD).So the Wehrl entropy can be regarded as a measurement of the quantum effects of the mesoscopic circuit.