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Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness

Entropy, ISSN: 1099-4300, Vol: 24, Issue: 3
2022
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Article Description

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 with finite Hilbert spaces. 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 with a finite Hilbert space.

Bibliographic Details

Mahdavipour, Kobra; Khazaei Shadfar, Mahshid; Rangani Jahromi, Hossein; Morandotti, Roberto; Lo Franco, Rosario

MDPI AG

Computer Science; Mathematics; Physics and Astronomy; Engineering

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