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

[Gus Gutoski]

Reminder: PIQuDos seminar by Karol Życzkowski today at 16:00 in the Space
room.  -Gus


On Fri, Jul 11, 2014 at 1:54 PM, Gus Gutoski <ggutoski at perimeterinstitute.ca
> wrote:

> 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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