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 …
evolutions. When representing quantum states by density operators, the evident …
Space-time dual quantum Zeno effect: Interferometric engineering of open quantum system dynamics
Superposition of trajectories, which modify quantum evolutions by superposing paths
through interferometry, has been utilized to enhance various quantum communication tasks …
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
We investigate the problem of reversing quantum dynamics, specifically via optimal Petz
recovery maps. We focus on typical decoherence channels, such as dephasing …
recovery maps. We focus on typical decoherence channels, such as dephasing …
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 …
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
This experimental study aims to investigate the convex combinations of Pauli semigroups
with arbitrary mixing parameters to determine whether the resulting dynamical map exhibits …
with arbitrary mixing parameters to determine whether the resulting dynamical map exhibits …
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 …
further generalization of generalized Pauli channels. The resulting maps are bistochastic …
Measure of invertible dynamical maps under convex combinations of noninvertible dynamical maps
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 …
Hilbert space of dimension d. For certain choices of the decoherence function, the maps are …
Noninvertibility and non-Markovianity of quantum dynamical maps
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 …
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
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 …
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-dam** qubit maps and their legitimate mixtures. Using the results for image non …
phase-dam** qubit maps and their legitimate mixtures. Using the results for image non …