Düsseldorf Quantum Info Online Seminars

A general framework for randomized benchmarking

A talk given by Jonas Helsen, University of Amsterdam

Abstract: Randomized benchmarking is a gold standard experimental procedure for
assessing the quality of quantum operations, and over the years many variations
of the protocol have been proposed, each with different underlying assumptions
and goals. In this talk I want to outline a general framework, based on
non-commutative Fourier analysis, encompassing all known randomized benchmarking
procedures. Within this framework it is possible to derive quite generic and
strong theorems delineating the validity of randomized benchmarking. It also
leads to novel methods of post-processing randomized benchmarking data,
increasing the set of benchmarking protocols that are useable in practice.