Generalized Uncertainty Principle and its Applications

Burcu Elif Akten

Seyed Davood Sadatian

We study and explain the uncertainty principle. We've discussed how to reform the uncertainty principle. In this regards, we have used the mechanisms of noncommutative algebra for obtain a generalized uncertainty principle. Following, Due to modified relationship uncertainty, we consider some application of these relation

Xiaotong Wang, Guanlei Xu, Lijia Zhou +2 more

The uncertainty principle plays an important role in both physics and mathematics, and it also plays an important role in information science. This paper reviewed the Heisenberg’s uncertainty principles, windowed uncertainty principles, logarithmic uncertainty principles, entropic uncertainty principles and so on in the fractional Fourier transform domains and linear canonical transform domains in great details. The development and applications of generalized uncertainty principles were analyzed, and the trend and direction were given as well.

Steeve Zozor, M. Portesi, Christophe Vignat

Otto Charles Anthony Gadea, Gardo Blado

We examine quantum gravity effects by applying the generalized uncertainty principle (GUP) to entropic uncertainty relation conditions on quantum entanglement. In particular, we study the GUP corrections to the Shannon entropic uncertainty condition for entanglement. As in an earlier paper [Blado, Herrera, Erwin arXiv:1706.10013 [quant-ph]] which dealt with variance relations, there is an increase in the upper bound for the entanglement condition upon the application of the generalized uncertainty principle. Fundamental concepts of the generalized uncertainty principle, entanglement and the entropic uncertainty relations are also discussed.