Towards practical non-Markovianity measures: Normalization and regularization techniques
Abstract
Measures characterizing the non-Markovianity degree of the quantum dynamics have several drawbacks when applied to real devices. They depend on the chosen measurement time interval and are highly sensitive to experimental noise and errors. We propose several techniques to enhance the practical applicability of the measures and verify our findings experimentally on a superconducting transmon and a trapped-ion qubit. The time dependence can be disregarded by introduction of the measure per oscillation, while the sensitivity to noise is reduced by applying a regularization procedure. The results for both types of qubits are compared with theoretical predictions for a simple model of non-Markovianity based on qubit-qubit interaction.
Cite
@article{arxiv.2503.23431,
title = {Towards practical non-Markovianity measures: Normalization and regularization techniques},
author = {L. A. Mazhorina and N. D. Korolev and N. V. Morozov and E. Yu. Egorova and A. V. Zotova and T. A. Chudakova and G. S. Mazhorin and N. Sterligov and A. S. Kazmina and A. M. Polyanskiy and N. Abramov and I. O. Gridnev and M. A. Gavreev and A. Matveev and O. Lakhmanskaya and I. A. Simakov and E. A. Polyakov and K. Lakhmanskiy},
journal= {arXiv preprint arXiv:2503.23431},
year = {2025}
}
Comments
13 pages, 8 figures