Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness

TL;DR

This paper evaluates the effectiveness of a Hilbert-Schmidt speed-based witness for detecting non-Markovian memory effects in high-dimensional quantum systems, demonstrating its reliability and correlation with other quantum measures.

Contribution

It extends the application of the HSS-based non-Markovianity witness to high-dimensional and multipartite systems, confirming its accuracy and usefulness.

Findings

HSS-based witness aligns with quantum negativity and correlations.

The witness reliably detects memory effects in complex quantum systems.

It is computationally efficient without requiring diagonalization.

Abstract

A witness of non-Markovianity based on the Hilbert-Schmidt speed (HSS), a special type of quantum statistical speed, has been recently introduced for low-dimensional quantum systems. Such a non-Markovianity witness is particularly useful, being easily computable since no diagonalization of the system density matrix is required. We investigate the sensitivity of this HSS-based witness to detect non-Markovianity in various high-dimensional and multipartite open quantum systems. We find that the time behaviors of the HSS-based witness are always in agreement with those of quantum negativity or quantum correlation measure. These results show that the HSS-based witness is a faithful identifier of the memory effects appearing in the quantum evolution of a high-dimensional system.