Quantum Fourier transform and tomographic Renyi entropic inequalities
Quantum Physics
2015-05-13 v1
Abstract
Renyi entropy associated with spin tomograms of quantum states is shown to obey to new inequalities containing the dependence on quantum Fourier transform. The limiting inequality for the von Neumann entropy of spin quantum states and a new kind of entropy associated with quantum Fourier transform are obtained. Possible connections with subadditivity and strong subadditivity conditions for tomographic entropies and von Neumann entropies are discussed.
Cite
@article{arxiv.0902.4381,
title = {Quantum Fourier transform and tomographic Renyi entropic inequalities},
author = {M. A. Man'ko and V. I. Man'ko},
journal= {arXiv preprint arXiv:0902.4381},
year = {2015}
}
Comments
Talk presented at the International Workshop "Nonlinear Physics. Theory and Experiment. V" (Gallipoli, Lecce, Italy, 2008), to appear in Theor. Math. Phys