Colloquium: Non-Markovian dynamics in open quantum systems

HP Breuer, EM Laine, J Piilo, B Vacchini - Reviews of Modern Physics, 2016 - APS
The dynamical behavior of open quantum systems plays a key role in many applications of
quantum mechanics, examples ranging from fundamental problems, such as the …

Dynamics of non-Markovian open quantum systems

I De Vega, D Alonso - Reviews of Modern Physics, 2017 - APS
Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

The classical-quantum boundary for correlations:<? format?> Discord and related measures

K Modi, A Brodutch, H Cable, T Paterek, V Vedral - Reviews of Modern Physics, 2012 - APS
One of the best signatures of nonclassicality in a quantum system is the existence of
correlations that have no classical counterpart. Different methods for quantifying the …

Quantum non-Markovianity: characterization, quantification and detection

Á Rivas, SF Huelga, MB Plenio - Reports on Progress in Physics, 2014 - iopscience.iop.org
We present a comprehensive and up-to-date review of the concept of quantum non-
Markovianity, a central theme in the theory of open quantum systems. We introduce the …

[BOOK][B] Open quantum systems

A Rivas, SF Huelga - 2012 - Springer
To write an introduction to the dynamics of open quantum systems may seem at first a
complicated, albeit perhaps unnecessary, task. On the one hand, the field is quite broad and …

Necessary and sufficient condition for nonzero quantum discord

B Dakić, V Vedral, Č Brukner - Physical review letters, 2010 - APS
Quantum discord characterizes “nonclassicality” of correlations in quantum mechanics. It
has been proposed as the key resource present in certain quantum communication tasks …

Unified view of quantum and classical correlations

K Modi, T Paterek, W Son, V Vedral, M Williamson - Physical review letters, 2010 - APS
We discuss the problem of the separation of total correlations in a given quantum state into
entanglement, dissonance, and classical correlations using the concept of relative entropy …

Quantum stochastic processes and quantum non-Markovian phenomena

S Milz, K Modi - PRX Quantum, 2021 - APS
The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

Almost all quantum states have nonclassical correlations

A Ferraro, L Aolita, D Cavalcanti, FM Cucchietti… - Physical Review A …, 2010 - APS
Quantum discord quantifies nonclassical correlations in a quantum system including those
not captured by entanglement. Thus, only states with zero discord exhibit strictly classical …

Gaussian quantum discord

P Giorda, MGA Paris - Physical review letters, 2010 - APS
We extend the quantum discord to continuous variable systems and evaluate Gaussian
quantum discord C (ϱ) for bipartite Gaussian states. In particular, for squeezed-thermal …