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.

Mahdavipour K., Khazaei Shadfar M., Rangani Jahromi H., Morandotti R., & Lo Franco R. (2022). Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness. ENTROPY, 24(3), 1-23 [10.3390/e24030395].

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

Mahdavipour K.
Primo
Formal Analysis
;
Khazaei Shadfar M.
Secondo
Investigation
;
Morandotti R.
Penultimo
Membro del Collaboration Group
;
Lo Franco R.
Ultimo
Supervision
2022-03-12

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 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.
Settore FIS/03 - Fisica Della Materia
https://www.mdpi.com/1099-4300/24/3/395
Mahdavipour K., Khazaei Shadfar M., Rangani Jahromi H., Morandotti R., & Lo Franco R. (2022). Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness. ENTROPY, 24(3), 1-23 [10.3390/e24030395].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/547871
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