Multifractality Analysis of Single Qubit Quantum Circuit Outcomes for a Superconducting Quantum Computer

TL;DR

This study reveals that single-qubit quantum circuit outputs on superconducting quantum computers exhibit complex multifractal behavior, which can inform advanced noise mitigation strategies to enhance quantum computation accuracy.

Contribution

The paper introduces a novel multifractal analysis of quantum circuit outcomes, highlighting the complex scaling properties of measurement fluctuations in superconducting qubits.

Findings

Strong multifractal behavior in quantum measurement data

Quantum fluctuations exhibit complex scaling across multiple time scales

Potential for improved noise filtering based on multifractal properties

Abstract

We present a multifractal analysis of time series data obtained by repeatedly running a single-qubit quantum circuit on IBM superconducting quantum computers, in which the measurement outcomes are recorded as the number of zeros. By applying advanced signal processing techniques, including the wavelet leader method and multifractal detrended fluctuation analysis, we uncover strong multifractal behavior in the output data. This finding indicates that the temporal fluctuations inherent to quantum circuit outputs are not purely random but exhibit complex scaling properties across multiple time scales. The multifractal nature of the signal suggests the possibility of tailoring filtering strategies that specifically target these scaling features to effectively mitigate noise in quantum computations. Our results not only contribute to a deeper understanding of the dynamical properties of quantum systems under repeated measurement but also provide a promising avenue for improving noise reduction techniques in near-term quantum devices.