Randomized Benchmarking as Convolution: Fourier Analysis of Gate Dependent Errors

We show that the Randomized Benchmarking (RB) protocol is a convolution amenable to Fourier space analysis. By adopting the mathematical framework of Fourier transforms of matrix-valued functions on groups established in recent work from Gowers and Hatami \cite{GH15}, we provide an alternative proof...

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Bibliographic Details
Main Authors: Seth T. Merkel, Emily J. Pritchett, Bryan H. Fong
Format: article
Language:EN
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021
Subjects:
Online Access:https://doaj.org/article/111010d3a3a147feb885c0a914a32398
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