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

Signal Image and Video Processing

Generalized uncertainty relations of Tsallis entropy on FrFT

Guanlei Xu, Xiaogang Xu, Xiaotong Wang

Published Jun 6, 2020• 3 citations
Publisher
DOI
10.1007/s11760-020-01716-1

Related papers

On generalized Tsallis entropic uncertainty relations

Steeve Zozor, G. M. Bosyk, M. Portesi

•Oct 28, 2013•1 citation

Some Bounds for the Generalized Tsallis Relative Operator Entropy

Ismail Nikoufar, Maryam Fazlolahi

Mediterranean Journal of Mathematics•Feb 17, 2023•3 citations

Generalized Position and Momentum Tsallis Entropies

Angsula Ghosh, Puspitapallab Chaudhuri

International Journal of Theoretical Physics•Oct 1, 2000•20 citations

Generalized Entropic Uncertainty Relations with Tsallis' Entropy

M. Portesi, Angelo Plastino

A generalization of the entropic formulation of the Uncertainty Principle of Quantum Mechanics is considered with the introduction of the q-entropies recently proposed by Tsallis. The concomitant generalized measure is illustrated for the case of phase and number operators in quantum optics. Interesting results are obtained when making use of q-entropies as the basis for constructing generalized entropic uncertainty measures.

•Jan 1, 1996•1 citation

The Sobolev inequality and the Tsallis entropic uncertainty relation

A. K. Rajagopal

Physics Letters A•Sep 1, 1995•98 citations

Entropic Uncertainty Relations for Successive Measurements in the Presence of a Minimal Length

Alexey E. Rastegin

We address the generalized uncertainty principle in scenarios of successive measurements. Uncertainties are characterized by means of generalized entropies of both the Rényi and Tsallis types. Here, specific features of measurements of observables with continuous spectra should be taken into account. First, we formulated uncertainty relations in terms of Shannon entropies. Since such relations involve a state-dependent correction term, they generally differ from preparation uncertainty relations. This difference is revealed when the position is measured by the first. In contrast, state-independent uncertainty relations in terms of Rényi and Tsallis entropies are obtained with the same lower bounds as in the preparation scenario. These bounds are explicitly dependent on the acceptance function of apparatuses in momentum measurements. Entropic uncertainty relations with binning are discussed as well.

arXiv:1805.11253•Entropy•May 9, 2018•7 citations
We address the generalized uncertainty principle in scenarios of successive measurements. Uncertainties are characterized by means of generalized entropies of both the Rényi and Tsallis types. Here, specific features of measurements of observables with continuous spectra should be taken into account. First, we formulated uncertainty relations in terms of Shannon entropies. Since such relations involve a state-dependent correction term, they generally differ from preparation uncertainty relations. This difference is revealed when the position is measured by the first. In contrast, state-independent uncertainty relations in terms of Rényi and Tsallis entropies are obtained with the same lower bounds as in the preparation scenario. These bounds are explicitly dependent on the acceptance function of apparatuses in momentum measurements. Entropic uncertainty relations with binning are discussed as well.