Characterizing low-frequency qubit noise

TL;DR

This paper introduces a method to characterize low-frequency qubit noise by analyzing correlators from Ramsey measurements, revealing differences between noise types and effects on measurement outcomes.

Contribution

It presents a novel approach to describe qubit dynamics under evolving noise, enabling evaluation of multi-time correlators for different noise models.

Findings

Two-time correlator for two-level system noise evaluated

Three-time correlators for Gaussian noise obtained

Broadening of Ramsey measurement outcomes observed

Abstract

Fluctuations of the qubit frequencies are one of the major problems to overcome on the way to scalable quantum computers. Of particular importance are fluctuations with the correlation time that exceeds the decoherence time due to decay and dephasing by fast processes. The statistics of the fluctuations can be characterized by measuring the correlators of the outcomes of periodically repeated Ramsey measurements. This work suggests a method that allows describing qubit dynamics during repeated measurements in the presence of evolving noise. It made it possible, in particular, to evaluate the two-time correlator for the noise from two-level systems and obtain two- and three-time correlators for a Gaussian noise. The explicit expressions for the correlators are compared with simulations. A significant difference of the three-time correlators for the noise from two-level systems and for a Gaussian noise is demonstrated. Strong broadening of the distribution of the outcomes of Ramsey measurements, with a possible fine structure, is found for the data acquisition time comparable to the noise correlation time.