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Bibliographic description

punktacja MEiN [2014 A]: 35 

title:	Strong majorization entropic uncertainty relations
author:	Rudnicki Łukasz, Puchała Zbigniew , Życzkowski Karol
journal title:	Physical Review. A, Atomic, Molecular, and Optical Physics
volume:	89
issue:	5
date of publication :	2014
article ID:	052115
ISSN:	1050-2947
eISSN:	1094-1622 1538-4446
DOI:	10.1103/PhysRevA.89.052115
language:	English
journal language:	English
abstract in English:	We analyze entropic uncertainty relations in a finite-dimensional Hilbert space and derive several strong bounds for the sum of two entropies obtained in projective measurements with respect to any two orthogonal bases. We improve the recent bounds by Coles and Piani [P. Coles and M. Piani, Phys. Rev. A 89, 022112 (2014)], which are known to be stronger than the well-known result of Maassen and Uffink [H. Maassen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988)]. Furthermore, we find a bound based on majorization techniques, which also happens to be stronger than the recent results involving the largest singular values of submatrices of the unitary matrix connecting both bases. The first set of bounds gives better results for unitary matrices close to the Fourier matrix, while the second one provides a significant improvement in the opposite sectors. Some results derived admit generalization to arbitrary mixed states, so that corresponding bounds are increased by the von Neumann entropy of the measured state. The majorization approach is finally extended to the case of several measurements.
number of pulisher's sheets:	1
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
type:	journal article
subtype:	academic paper

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