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 …

Quantum feedback: theory, experiments, and applications

J Zhang, Y Liu, RB Wu, K Jacobs, F Nori - Physics Reports, 2017 - Elsevier
The control of individual quantum systems is now a reality in a variety of physical settings.
Feedback control is an important class of control methods because of its ability to reduce the …

Degree of non-Markovianity of quantum evolution

D Chruściński, S Maniscalco - Physical review letters, 2014 - APS
We propose a new characterization of non-Markovian quantum evolution based on the
concept of non-Markovianity degree. It provides an analog of a Schmidt number in the …

Global correlation and local information flows in controllable non-Markovian open quantum dynamics

XY Chen, NN Zhang, WT He, XY Kong, MJ Tao… - npj Quantum …, 2022 - nature.com
In a fully-controllable experiment platform for studying non-Markovian open quantum
dynamics, we show that the non-Markovianity could be investigated from the global and …

Non-Markovianity measure based on the relative entropy of coherence in an extended space

Z He, HS Zeng, Y Li, Q Wang, C Yao - Physical Review A, 2017 - APS
An alternative non-Markovianity measure for open quantum processes is proposed, which
takes advantage of the nonincreasing property of relative entropy of coherence under the …

Constructive method for detecting the information backflow of non-Markovian dynamics

B Bylicka, M Johansson, A Acin - Physical review letters, 2017 - APS
We investigate the relation between two approaches to the characterization of quantum
Markovianity, divisibility and lack of information backflow. We show that a bijective …

Non-Markovianity degree for random unitary evolution

D Chruściński, FA Wudarski - Physical Review A, 2015 - APS
We analyze the non-Markovianity degree for random unitary evolution of d-level quantum
systems. It is shown how the non-Markovianity degree is characterized in terms of local …

Quantum non-Markovianity based on the Fisher-information matrix

H Song, S Luo, Y Hong - Physical Review A, 2015 - APS
With the development of quantum-information theory, there has been a flurry of
investigations of quantum non-Markovian dynamics, and several significant measures for …

Detecting non-Markovianity of quantum evolution via spectra of dynamical maps

D Chruściński, C Macchiavello, S Maniscalco - Physical review letters, 2017 - APS
We provide an analysis on non-Markovian quantum evolution based on the spectral
properties of dynamical maps. We introduce the dynamical analog of entanglement witness …

Non-Markovianity measure using two-time correlation functions

MM Ali, PY Lo, MWY Tu, WM Zhang - Physical Review A, 2015 - APS
We investigate non-Markovianity measure using two-time correlation functions for open
quantum systems. We define non-Markovianity measure as the difference between the exact …