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arXiv · 2201.08617

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

Kobra Mahdavipour·Mahshid Khazaei Shadfar·Hossein Rangani Jahromi·Roberto Morandotti·Rosario Lo Franco
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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.

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Kobra Mahdavipour, Mahshid Khazaei Shadfar, Hossein Rangani Jahromi, Roberto Morandotti, Rosario Lo Franco. 2022-01-21. Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness. https://doi.org/10.3390/e24030395

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