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Entropic inequalities for matrix elements of rotation group irreducible representations

arXiv
Authors: V. I. Man'ko, L. A. Markovich

Year

2015

Paper ID

25991

Status

Preprint

Abstract Read

~2 min

Abstract Words

43

Citations

N/A

Abstract

Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained. To this end, an invertible mapping for the irreducible unitary representation of groups SU(2) and SU(1,1) like Jacoby polynomials and Gauss' hypergeometric functions, respectively, are used.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • Using the entropic inequalities for Shannon and Tsallis entropies new inequalities for some classical polynomials are obtained.

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