Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum Information Processing

Witnessing the boundary between Markovian and non-Markovian quantum dynamics: a Green’s function approach

Shibei Xue, Re-Bing Wu, Tzyh‐Jong Tarn, Ian R. Petersen

Published Apr 23, 2015• 10 citations
Publisher
DOI
10.1007/s11128-015-1000-6

Related papers

NON-MARKOVIAN DYNAMICS OF QUANTUM SYSTEMS

Dariusz Chruściński, Andrzej Kossakowski

QP-PQ, quantum probability and white noise analysis•Jan 1, 2011•0 citations

Exploring frequency-domain characteristics of Markovian and non-Markovian quantum dynamics

Shi-Bei Xue, Re-Bing Wu, TZYH JONG TARN +1 more

This paper presents a Green's function based root locus method to investigate the frequency-domain characteristics of Markovian and non-Markovian open quantum systems. A Langevin equation for the system is derived, where we show the structure of the Green's function dominates the system dynamics. In addition, by increasing the coupling between the system and its environment, variations in the modes of the Green's function are explored in the frequency domain, where both the critical transition from Markovian to non-Markovian dynamics and a critical point condition under Lorentzian noise are graphically presented using a root locus method. Related results are verified using an example of a boson-boson coupling system.

Australian Control Conference•Nov 1, 2014•1 citation

Entanglement negativity as a universal non-Markovianity witness

Jan Kołodyński, Swapan Rana, Alexander Streltsov

In order to engineer an open quantum system and its evolution, it is essential to identify and control the memory effects. These are formally attributed to the non-Markovianity of dynamics that manifests itself by the evolution being indivisible in time, a property which can be witnessed by a nonmonotonic behavior of contractive functions or correlation measures. We show that by monitoring directly the entanglement behavior of a system in a tripartite setting it is possible to witness all invertible non-Markovian dynamics, as well as all (also noninvertible) qubit evolutions. This is achieved by using negativity, a computable measure of entanglement, which in the usual bipartite setting is not a universal non-Markovianity witness. We emphasize further the importance of multipartite states by showing that non-Markovianity cannot be faithfully witnessed by any contractive function of single qubits. We support our statements by an explicit example of eternally non-Markovian qubit dynamics, for which negativity can witness non-Markovianity at arbitrary timescales.

arXiv:1903.08663•Physical Review A•Feb 13, 2020•27 citations

Non-Markovian dynamics of quantum systems

Z. Kanokov

•Nov 1, 2012•0 citations

A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system

Shi-Bei Xue, Ian R. Petersen

This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green's function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.

Asian Control Conference (ASCC)•May 1, 2015•2 citations

Non-markovian quantum dynamics

Gianpaolo Torre

•Apr 28, 2016•0 citations
This paper presents a Green's function based root locus method to investigate the frequency-domain characteristics of Markovian and non-Markovian open quantum systems. A Langevin equation for the system is derived, where we show the structure of the Green's function dominates the system dynamics. In addition, by increasing the coupling between the system and its environment, variations in the modes of the Green's function are explored in the frequency domain, where both the critical transition from Markovian to non-Markovian dynamics and a critical point condition under Lorentzian noise are graphically presented using a root locus method. Related results are verified using an example of a boson-boson coupling system.
In order to engineer an open quantum system and its evolution, it is essential to identify and control the memory effects. These are formally attributed to the non-Markovianity of dynamics that manifests itself by the evolution being indivisible in time, a property which can be witnessed by a nonmonotonic behavior of contractive functions or correlation measures. We show that by monitoring directly the entanglement behavior of a system in a tripartite setting it is possible to witness all invertible non-Markovian dynamics, as well as all (also noninvertible) qubit evolutions. This is achieved by using negativity, a computable measure of entanglement, which in the usual bipartite setting is not a universal non-Markovianity witness. We emphasize further the importance of multipartite states by showing that non-Markovianity cannot be faithfully witnessed by any contractive function of single qubits. We support our statements by an explicit example of eternally non-Markovian qubit dynamics, for which negativity can witness non-Markovianity at arbitrary timescales.