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arXiv · 2501.06172

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

Antoine Brillant·Peter Groszkowski·Alireza Seif·Jens Koch·Aashish Clerk
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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.

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Antoine Brillant, Peter Groszkowski, Alireza Seif, Jens Koch, Aashish Clerk. 2025-02-25. Randomized benchmarking with non-Markovian noise and realistic finite-time gates. https://doi.org/10.1103/tmfd-qc5q

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