Machine learning non-Markovian quantum dynamics

IA Luchnikov, SV Vintskevich, DA Grigoriev… - Physical review …, 2020 - APS
Machine learning methods have proved to be useful for the recognition of patterns in
statistical data. The measurement outcomes are intrinsically random in quantum physics …

Divisibility of quantum dynamical maps and collision models

SN Filippov, J Piilo, S Maniscalco, M Ziman - Physical Review A, 2017 - APS
The divisibility of dynamical maps is visualized by trajectories in the parameter space and
analyzed within the framework of collision models. We introduce ultimate completely positive …

Phase covariant qubit dynamics and divisibility

SN Filippov, AN Glinov, L Leppäjärvi - Lobachevskii Journal of …, 2020 - Springer
Phase covariant qubit dynamics describes an evolution of a two-level system under
simultaneous action of pure dephasing, energy dissipation, and energy gain with time …

Two-qubit entanglement generation through non-Hermitian Hamiltonians induced by repeated measurements on an ancilla

R Grimaudo, A Messina, A Sergi, NV Vitanov… - Entropy, 2020 - mdpi.com
In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian
dynamics for quantum systems is a challenge because the processes of energy gain and …

Superoperator master equations and effective dynamics

AE Teretenkov - Entropy, 2023 - mdpi.com
We developed the projection method to derive an analog of the quantum master equation for
propagators rather than density matrices themselves. As these propagators are …

Multipartite correlations in quantum collision models

S Filippov - Entropy, 2022 - mdpi.com
Quantum collision models have proved to be useful for a clear and concise description of
many physical phenomena in the field of open quantum systems: thermalization …

Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions

T Möbus, C Rouzé - Annales Henri Poincaré, 2023 - Springer
In open quantum systems, the quantum Zeno effect consists in frequent applications of a
given quantum operation, eg, a measurement, used to restrict the time evolution (due, for …

Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks

SN Filippov, IA Luchnikov - Physical Review A, 2022 - APS
Quantum collision models are receiving increasing attention as they describe many
nontrivial phenomena in the dynamics of open quantum systems. In a general scenario of …

Capacity of trace decreasing quantum operations and superadditivity of coherent information for a generalized erasure channel

SN Filippov - Journal of Physics A: Mathematical and Theoretical, 2021 - iopscience.iop.org
Losses in quantum communication lines severely affect the rates of reliable information
transmission and are usually considered to be state-independent. However, the loss …

Quantum master equations for a system interacting with a quantum gas in the low-density limit and for the semiclassical collision model

SN Filippov, GN Semin, AN Pechen - Physical Review A, 2020 - APS
A quantum system interacting with a dilute gas experiences irreversible dynamics. The
corresponding master equation can be derived within two different approaches: The fully …