Photon distributions and information nonnegativity versus quadrature uncertainty relation

V. I. Man'ko; L. A. Markovich

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arXiv · 1603.01345

Photon distributions and information nonnegativity versus quadrature uncertainty relation

V. I. Man'ko·L. A. Markovich

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Abstract

Using entropic inequalities for Shannon entropies new inequalities for some classical polynomials are obtained. To this end, photon distribution functions for one-, two- and multi-mode squeezed states in terms of Hermite, Laguerre, Legendre polynomials and Gauss' hypergeometric functions are used. The dependence between the violation of the quadrature uncertainty relation, the sign and the existence of the distribution function of such states is considered.

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V. I. Man'ko, L. A. Markovich. 2016-03-04. Photon distributions and information nonnegativity versus quadrature uncertainty relation. https://arxiv.org/abs/1603.01345

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