Dynamical maps beyond Markovian regime

D Chruściński - Physics Reports, 2022 - Elsevier
Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Space-time dual quantum Zeno effect: Interferometric engineering of open quantum system dynamics

JD Lin, CY Huang, N Lambert, GY Chen, F Nori… - Physical Review …, 2022 - APS
Superposition of trajectories, which modify quantum evolutions by superposing paths
through interferometry, has been utilized to enhance various quantum communication tasks …

Approximating invertible maps by recovery channels: optimality and an application to non-Markovian dynamics

L Lautenbacher, F de Melo, NK Bernardes - Physical Review A, 2022 - APS
We investigate the problem of reversing quantum dynamics, specifically via optimal Petz
recovery maps. We focus on typical decoherence channels, such as dephasing …

Non-Markovian quantum dynamics from symmetric measurements

K Siudzińska - Physical Review A, 2024 - APS
We use symmetric measurement operators to construct quantum channels that provide a
further generalization of generalized Pauli channels. The resulting maps are bistochastic …

Markovian semigroup from mixing generalized Weyl dephasing channels

W Xu, MS Li, ZJ Zheng - Physical Review A, 2024 - APS
We study the conditions to produce Markovian semigroups under the convex combinations
of various generalized Weyl dephasing channels. We show that the convex combinations of …

Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor

V Gulati, V Jagadish, R Srikanth, K Dorai - Physical Review A, 2024 - APS
This experimental study aims to investigate the convex combinations of Pauli semigroups
with arbitrary mixing parameters to determine whether the resulting dynamical map exhibits …

Measure of invertible dynamical maps under convex combinations of noninvertible dynamical maps

V Jagadish, R Srikanth, F Petruccione - Physical Review A, 2022 - APS
We study the convex combinations of the (d+ 1)-generalized Pauli dynamical maps in a
Hilbert space of dimension d. For certain choices of the decoherence function, the maps are …

Noninvertibility and non-Markovianity of quantum dynamical maps

V Jagadish, R Srikanth, F Petruccione - Physical Review A, 2023 - APS
We identify two broad types of noninvertibilities in quantum dynamical maps, one
necessarily associated with CP indivisibility and one not so. We study the production of (non …

Noninvertibility as a requirement for creating a semigroup under convex combinations of channels

V Jagadish, R Srikanth, F Petruccione - Physical Review A, 2022 - APS
We study the conditions under which a semigroup is obtained upon convex combinations of
channels. In particular, we study the set of Pauli and generalized Pauli channels. We find …

Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps

K Siudzińska - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
We analyze the connections between the non-Markovianity degree of the most general
phase-damping qubit maps and their legitimate mixtures. Using the results for image non …