Randomized benchmarking with non-Markovian noise and realistic finite-time gates

TL;DR

This paper develops a new framework for analyzing how non-Markovian classical noise affects single-qubit randomized benchmarking, revealing complex decay behaviors and offering insights into noise characterization.

Contribution

It introduces a non-perturbative method that models finite-time gates and non-Markovian noise, improving understanding of decay curves in randomized benchmarking experiments.

Findings

Decay curves can be exponential or power law under non-Markovian noise

Implementation methods significantly influence the benchmarking results

The approach enables probing of non-Markovian effects in quantum noise

Abstract

We analyze the impact of non-Markovian classical noise on single-qubit randomized benchmarking experiments, in a manner that explicitly models the realization of each gate via realistic finite-duration pulses. Our new framework exploits the random nature of each gate sequence to derive expressions for the full survival probability decay curve which are non-perturbative in the noise strength. In the presence of non-Markovian noise, our approach shows that the decay curve can exhibit a strong dependence on the implementation method, with regimes of both exponential and power law decays. We discuss how these effects can complicate the interpretation of a randomized-benchmarking experiment, but also how to leverage them to probe non-Markovianty.