Causal classification of spatiotemporal quantum correlations
From correlations in measurement outcomes alone, can two otherwise isolated parties
establish whether such correlations are atemporal? That is, can they rule out that they have …
establish whether such correlations are atemporal? That is, can they rule out that they have …
Dynamics of initially correlated open quantum systems: Theory and applications
We show that the dynamics of any open quantum system that is initially correlated with its
environment can be described by a set of d 2 (or less) completely positive maps, where d is …
environment can be described by a set of d 2 (or less) completely positive maps, where d is …
Reduced dynamical maps in the presence of initial correlations
B Vacchini, G Amato - Scientific reports, 2016 - nature.com
We introduce a framework for the construction of completely positive dynamical evolutions in
the presence of system-environment initial correlations. The construction relies upon …
the presence of system-environment initial correlations. The construction relies upon …
Linearity conditions leading to complete positivity
I Sargolzahi - Physical Review A, 2022 - APS
The reduced dynamics of an open quantum system S, interacting with its environment E, is
not completely positive, in general. In this paper, we demonstrate that if the two following …
not completely positive, in general. In this paper, we demonstrate that if the two following …
When the assignment map is completely positive
I Sargolzahi, SY Mirafzali - Open Systems & Information Dynamics, 2018 - World Scientific
Finding the general set of system-environment states {ρSE} for which the reduced dynamics
of the system is completely positive (CP) is the subject of some recent works. An advance in …
of the system is completely positive (CP) is the subject of some recent works. An advance in …
Reference state for arbitrary U-consistent subspace
I Sargolzahi - Journal of Physics A: Mathematical and Theoretical, 2018 - iopscience.iop.org
The reduced dynamics of the system S, interacting with the environment E, is not given by a
linear map, in general. However, if it is given by a linear map, then this map is also …
linear map, in general. However, if it is given by a linear map, then this map is also …
Initial entanglement, entangling unitaries, and completely positive maps
V Jagadish, R Srikanth, F Petruccione - arxiv preprint arxiv:2012.12292, 2020 - arxiv.org
The problem of conditions on the initial correlations between the system and the
environment that lead to completely positive (CP) or not-completely positive (NCP) maps …
environment that lead to completely positive (CP) or not-completely positive (NCP) maps …
Initial Correlations and Complete Positivity of Dynamical Maps
It is now increasingly realized in the study of open system dynamics that initial correlations
do not pose a conceptual difficulty as traditionally believed. A similar methodology as used …
do not pose a conceptual difficulty as traditionally believed. A similar methodology as used …
Positivity of the assignment map implies complete positivity of the reduced dynamics
I Sargolzahi - Quantum Information Processing, 2020 - Springer
Consider the set S= { ρ _ SE } S= ρ SE of possible initial states of the system-environment.
The map which assigns to each ρ _ S ∈ Tr _ ES ρ S∈ Tr ES a ρ _ SE ∈ S ρ SE∈ S is …
The map which assigns to each ρ _ S ∈ Tr _ ES ρ S∈ Tr ES a ρ _ SE ∈ S ρ SE∈ S is …
On quantum fluctuations relations with generalized energy measurements
AE Rastegin - International Journal of Theoretical Physics, 2018 - Springer
Quantum fluctuations relations are typically derived with projective measurements of energy
at the beginning and the end of the protocol. Though projective measurements are easy to …
at the beginning and the end of the protocol. Though projective measurements are easy to …