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RESEARCH PRODUCT
Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness
Kobra MahdavipourMahshid Khazaei ShadfarHossein Rangani JahromiRosario Lo FrancoRoberto Morandottisubject
Quantum Physicsnon-Markovianity; Hilbert–Schmidt speed; high-dimensional system; multipartite open quantum systems; memory effectsFOS: Physical sciencesGeneral Physics and AstronomyQuantum Physics (quant-ph)High-dimensional system Hilbert–Schmidt speed Memory effects Multipartite open quantum systems Non-MarkovianitySettore FIS/03 - Fisica Della Materiadescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-03-12 |