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On Telescopes and Cuckoo Clocks

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If you have a question about this talk, please contact Ashley Montanaro .

In this talk I present ongoing work about a peculiar modification of the relative entropy which I coined the telescoped relative entropy. I will explain the name, and highlight its many interesting properties. Of course, I will also have to explain where it comes from, and what it is good for, and I will do so by showing how this telescope can be used in the quantification of read-out uncertainties of cuckoo clocks and in Hamiltonian estimation of unitarily evolving quantum systems. Ultimately, I will show that a curious conjecture about the telescoped relative entropy would solve a problem posed by Kitaev and Bravyi.

This talk is part of the CQIF Seminar series.

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