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Friday, July 3, 2020

Friday, July 3, 2020 — 3:30 PM EDT

Title: Number-theoretic methods in quantum computing

Speaker: Peter Selinger Affiliation: Dalhousie University Zoom: Please email Emma Watson

Abstract:

An important problem in quantum computing is the so-called \emph{approximate synthesis problem}: to find a quantum circuit, preferably as short as possible, that approximates a given target operation up to given $\epsilon$. For nearly two decades, from 1995 to 2012, the standard solution to this problem was the Solovay-Kitaev algorithm, which is based on geometric ideas. This algorithm produces circuits of size $O(\log^c(1/\epsilon))$, where $c$ is a constant approximately equal to $3.97$. It was a long-standing open problem whether the exponent $c$ could be reduced to $1$.

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