Data for Random Pulse Sequences for Qubit Noise Spectroscopy

Qubit noise spectroscopy is an important tool for the experimental investigation of open quantumsystems. However, conventional techniques for noise spectroscopy are time-consuming, because theyrequire measurements of the noise spectral density at many different frequencies. Here we describean alternative approach to noise spectroscopy, which requires fewer resources, and relies on directmeasurement of arbitrary linear functionals of the noise spectral density. This method uses randompulse sequences with carefully-controlled correlations, which are chosen using algorithms for phaseretrieval. 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 noisespectrum, compared to conventional dynamical decoupling approaches. This is the data set for the images in the paper. Source codes are available upon reasonable request from the authors.