[quantum-info] PIQuDos seminar (unusual time and place!) Mon July 14: Karol Życzkowski

[Gus Gutoski]

Please join us on Monday, July 14 at 4pm in the Space room for a quantum
information seminar by Karol Życzkowski.

Title:  *Strong majorization entropic uncentainty relations*
Speaker: *Karol Życzkowski* (Jagiellonian University)

Abstract: 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, which are known to
be stronger than the well known result of Maassen and Uffink. Furthermore,
we find a novel bound based on majorization techniques, which also happens
to be stronger than the recent results involving largest singular values of
submatrices of the unitary matrix connecting both bases. The first set of
new bounds give 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.

http://arxiv.org/abs/1402.0129

Date: Monday, July 14, 2014.
Time: 16:00
Location: Space Room
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