Non-Markovian effects can speed up the dynamics of quantum systems while the limits of the evolution time can be derived by quantifiers of quantum statistical speed. We introduce a witness for characterizing the non-Markovianity of quantum evolutions through the Hilbert-Schmidt speed (HSS), which is a special type of quantum statistical speed. This witness has the advantage of not requiring diagonalization of the evolved density matrix. Its sensitivity is investigated by considering several paradigmatic instances of open quantum systems, such as one qubit subject to phase-covariant noise and a Pauli channel, two independent qubits locally interacting with leaky cavities, and V-type and Lambda-type three-level atoms (qutrits) in a dissipative cavity. We show that the proposed HSS-based non-Markovianity witness detects memory effects, in agreement with the well-established trace-distance-based witness, being sensitive to system-environment information backflows.

Jahromi, H.R., Mahdavipour, K., Khazaei Shadfar, M., & Lo Franco, R. (2020). Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed. PHYSICAL REVIEW A, 102(2), 1-10 [10.1103/PhysRevA.102.022221].

Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Mahdavipour, K
Membro del Collaboration Group
;
Khazaei Shadfar, M
Membro del Collaboration Group
;
Lo Franco, R
Supervision
2020

Abstract

Non-Markovian effects can speed up the dynamics of quantum systems while the limits of the evolution time can be derived by quantifiers of quantum statistical speed. We introduce a witness for characterizing the non-Markovianity of quantum evolutions through the Hilbert-Schmidt speed (HSS), which is a special type of quantum statistical speed. This witness has the advantage of not requiring diagonalization of the evolved density matrix. Its sensitivity is investigated by considering several paradigmatic instances of open quantum systems, such as one qubit subject to phase-covariant noise and a Pauli channel, two independent qubits locally interacting with leaky cavities, and V-type and Lambda-type three-level atoms (qutrits) in a dissipative cavity. We show that the proposed HSS-based non-Markovianity witness detects memory effects, in agreement with the well-established trace-distance-based witness, being sensitive to system-environment information backflows.
Settore FIS/03 - Fisica Della Materia
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.022221
Jahromi, H.R., Mahdavipour, K., Khazaei Shadfar, M., & Lo Franco, R. (2020). Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed. PHYSICAL REVIEW A, 102(2), 1-10 [10.1103/PhysRevA.102.022221].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/432546
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