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

• URL: http://arxiv.org/abs/2201.08617v1
• Date: Fri, 21 Jan 2022 10:04:43 GMT
• Title: Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Authors: Kobra Mahdavipour, Mahshid Khazaei Shadfar, Hossein Rangani Jahromi, Roberto Morandotti, Rosario Lo Franco
• Abstract summary: A witness of non-Markovianity based on the Hilbert-Schmidt speed (HSS), a special type of quantum statistical speed, has been introduced for low-dimensional quantum systems. We investigate the sensitivity of this HSS-based witness to detect non-Markovianity in various high-dimensional and multipartite open quantum systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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