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    Random pulse sequences for qubit noise spectroscopy

    Kaixin Huang1,2,*, Demitry Farfurnik3, Alireza Seif1,2,4, Mohammad Hafezi1,2, and Yi-Kai Liu2,5

    • *Contact author: kxhuang@umd.edu

    Phys. Rev. Applied 23, 054090 – Published 30 May, 2025

    DOI: https://doi.org/10.1103/PhysRevApplied.23.054090

    Abstract

    Qubit noise spectroscopy is an important tool for the experimental investigation of open quantum systems. However, conventional techniques for noise spectroscopy are time-consuming, because they require measurements of the noise spectral density at many different frequencies. Here we describe an alternative approach to noise spectroscopy, which requires fewer resources, and relies on direct measurement of arbitrary linear functionals of the noise spectral density. This method uses random pulse sequences with carefully controlled correlations, which are chosen using algorithms for phase retrieval. These measurements allow us to reconstruct sparse noise spectra via compressed sensing. Our simulations of the performance of the random pulse sequences on a realistic physical system, self-assembled quantum dots, reveal a speedup of an order of magnitude in extracting the noise spectrum, compared to conventional dynamical decoupling approaches.

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