Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems

Abstract

We construct a general measure for the degree of non-Markovian behavior in open quantum systems. This measure is based on the trace distance which quantifies the distinguishability of quantum states. It represents a functional of the dynamical map describing the time evolution of physical states, and can be interpreted in terms of the information flow between the open system and its environment. The measure takes on nonzero values whenever there is a flow of information from the environment back to the open system, which is the key feature of non-Markovian dynamics.

4 pages, 2 figures, published version

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• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Non-Markovian Decoherent Quantum Walks
• Non-Markovian Dynamics of a Single Excitation within Many-Body Dissipative Systems
• Optomechanical second-order sidebands and group delays in a spinning resonator with parametric amplifier and non-Markovian effects
• Analog Quantum Simulation of Extremely Sub-Ohmic Spin-Boson Models
• Waveguide-QED-based measurement of a reservoir spectral density
• Controlling Non-Markovian Dynamics Using a Light-based Structured Environment
• Local disclosure of quantum memory in non-Markovian dynamics
• Quantum reservoirs with ion chains
• Time-Correlated Blip Dynamics of Open Quantum Systems
• Exact non-Markovian dynamics of Gaussian quantum channels: Finite-time and asymptotic regimes
• Role of coherence in transport through engineered atomic spin devices
• Quantifying non-Markovianity via conditional mutual information
• Fitting quantum noise models to tomography data
• Remote sensing and faithful quantum teleportation through non-localized qubits
• Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
• Topological Protection and Control of Quantum Markovianity
• Memory Effects in Quantum Processes
• Decoherence, entanglement decay, and equilibration produced by chaotic environments
• Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility
• Qubit systems subject to unbalanced random telegraph noise: quantum correlations, non-Markovianity and teleportation
• Dissipative dynamics of quantum correlation quantifiers under decoherence channels
• Approximating Invertible Maps by Recovery Channels: Optimality and an Application to Non-Markovian Dynamics
• Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
• Affecting Non-Markovian behaviour by changing bath structures
• Exact dynamics for optical coherent-state qubits subject to environment noise
• Renormalization of trace distance and multipartite entanglement close to the quantum phase transitions of one- and two-dimensional spin-chain systems
• Non-Markovian skin effect
• Assessing non-Markovian dynamics through moments of the Choi state
• Based-nonequilibrium-environment non-Markovianity, quantum Fisher information and quantum coherence
• Singularities, mixing and non-Markovianity of Pauli dynamical maps
• Impurity dephasing in a Bose-Hubbard model
• Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
• Qubit dynamics of ergotropy and environment-induced work
• Kernel-based quantum regressor models learn non-Markovianity
• Quantum Speed Limit under Brachistochrone Evolution
• Memory effect on the bidirectional teleportation
• Non-Markovian Vibrational Relaxation Dynamics at Surfaces
• Coupling function from bath density of states
• Dephasing dynamics of an impurity coupled to an anharmonic environment
• Quantum probing topological phase transitions by non-Markovianity
• Memory effects in a quasi-periodic Fermi lattice
• A Nonequilibrium quantum phase transition in strongly coupled spin chains
• Non-Markovianity Quantifier of an Arbitrary Quantum Process
• Optimal Quantum Thermometry by Dephasing
• Non-Markovian Dynamics in Ultracold Rydberg Aggregates
• Non-Markovianity through Multipartite Correlation Measures
• Conditions for the freezing phenomena of geometric measure of quantum discord for arbitrary two-qubit X states under non-dissipative dephasing noises
• Non-Markovianity as a Resource for Quantum Technologies
• Robust non-Markovianity in ultracold gases
• Non-Markovianity of the Post Markovian Master Equation
• Quantum speed limit of Jaynes-Cummings model with detuning for arbitrary initial states
• Quantum Structures: A View of the Quantum World
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Dynamics of two central spins immersed in spin baths
• Invertibility as a witness of Markovianity of the quantum dynamical maps
• Non-Markovian dynamics from band edge effects and static disorder
• Dissipation induced information scrambling in a collision model
• Transfer-tensor description of memory effects in open-system dynamics and multi-time statistics
• Arbitrary length XX spin chains boundary-driven by non-Markovian environments
• Discrete dynamics and non-Markovianity
• Degradation of Entanglement in Markovian Noise
• Geometric phase accumulated in a driven quantum system coupled to an structured environment
• Microscopic modelling of general time-dependent quantum Markov processes
• Non-Markovianity by undersampling in quantum optical simulators
• Correlation dynamics of three spin under a classical dephasing environment
• Effect of two-qutrit entanglement on quantum speed limit time of a bipartite V-type open system
• Fluctuation Theorems for multitime processes
• Magnetically tunable exciton valley coherence in monolayer WS${}_2$ mediated by the electron-hole exchange and exciton-phonon interactions
• Robust and Resource-Efficient Quantum Circuit Approximation
• Unruh effect and information flow
• Open quantum systems integrable by partial commutativity
• How to design quantum-jump trajectories via distinct master equation representations
• Detection of Bidirectional System-Environment Information Exchanges
• Tunable Non-Markovianity for Bosonic Quantum Memristors
• Generation of entanglement density within a reservoir
• Memory in quantum processes with indefinite time direction and causal order
• Dynamics of incompatibility of quantum measurements in open systems
• Perturbation theory for operational quantum non-Markovianity
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Decoherence of Topological Qubit in Linear and Circular Motions: Decoherence Impedance, Anti-Unruh and Information Backflow
• Long-time Markovianity of multi-level systems in the rotating wave approximation
• Basic mechanisms in the laser control of non-Markovian dynamics
• Measuring non-Markovianity via incoherent mixing with Markovian dynamics
• Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations
• Non-Markovianity in High-Dimensional Open Quantum Systems using Next-generation Multicore Optical Fibers
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Decoherence and pointer states in small antiferromagnets: A benchmark test
• Determining the squeezing in multimode fields using nonlocal quantum probes
• Construction of propagators for divisible dynamical maps
• The reference system and not completely positive open quantum dynamics
• Recovering complete positivity of non-Markovian quantum dynamics with Choi-proximity regularization
• Noncommutative phase-space effects in thermal diffusion of Gaussian states
• Noise induced Non-Markovianity
• Markovianity of an emitter coupled to a structured spin chain bath
• Entanglement dynamics of an open moving-biparticle system driven by classical-field
• Non-Markovian waiting time distribution
• Non-Markovianity through entropy-based quantum thermodynamics
• A solvable class of non-Markovian quantum multipartite dynamics
• Non-Markovianity criteria for mixtures of noninvertible Pauli dynamical maps
• Non-Markovian decay and dynamics of decoherence in private and public environments
• Intermediate Times Dilemma for Open Quantum System: Filtered Approximation to The Refined Weak Coupling Limit
• Non-Markovian dynamics and noise characteristics in continuous measurement of a solid-state charge qubit
• Exchange of information between system and environment: facts and myths
• Analytical model of non-Markovian decoherence in donor-based charge quantum bits
• Towards realization of universal quantum teleportation using weak measurements
• Lattice mapping for many-body open quantum systems and its application to atoms in photonic cystals
• Non-Markovian effects on non-locality of a qubit-oscillator system
• Noninvertibility and non-Markovianity of quantum dynamical maps
• Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor
• Spin backflow: a non-Markovian effect on spin pumping
• The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity
• Regular patterns in the information flow of local dephasing channels
• Dynamical paths and universality in continuous variables open systems
• Topological transition of a non-Markovian dissipative quantum walk
• Protecting quantum correlations of negative quantum states using weak measurement under non-Markovian noise
• Entanglement dynamics governed by time-dependent quantum generators
• Theoretical insights on measuring quantum correlations
• Hierarchy of correlation quantifiers comparable to negativity
• Quantum speed limit time for the damped Jaynes-Cummings and Ohmic-like dephasing models in Schwarzschild spacetime
• On the relevance of weak measurements in dissipative quantum systems
• Perturbative expansion of entanglement negativity using patterned matrix calculus
• Negativity of quantumness and non-Markovianity in a qubit coupled to a thermal Ising spin bath system
• Quantum energy current and quantum coherence of a spin chain in a non-Markovian environment
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Exploring Non-Markovianity in Ergodic Channels: Measuring Memory Retention through Ergotropy
• Memory effects in quantum dynamics modelled by quantum renewal processes
• Non-Markovianity and Clauser-Horne-Shimony-Holt (CHSH)-Bell inequality violation in quantum dissipative systems
• Towards Laser Control of Open Quantum Systems: Memory Effects
• Entanglement Protection via Periodic Environment Resetting in Continuous Time Quantum Dynamical Processes
• Non-Markovianity is not a resource for quantum spatial search on a star graph subject to generalized percolation
• Improving teleportation fidelity in structured reservoirs
• Read-out of Quasi-periodic Systems using Qubits
• Non-Markovian quantum dissipative processes with the same positive features as Markovian dissipative processes
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Connecting two jumplike unravelings for non-Markovian open quantum systems
• Signatures of non-Markovianity in classical single-time probability distributions
• Phase-covariant mixtures of non-unital qubit maps
• Quantifying non-Markovianity via local quantum Fisher information
• Non-Markovian effects at the Fermi-edge singularity in quantum dots
• Quantum correlations dynamics under different non-markovian environmental models
• Experimental Snapshot Verification of non-Markovianity with Unknown System-Probe Coupling
• Non-Markovian effect on remote state preparation
• Dynamics of decoherence in a noisy driven environment
• Machine learning of quantum channels on NISQ devices
• Quantum versus classical $P$-divisibility
• Detecting non-Markovianity from continuous monitoring
• Non-Markovian memory in a measurement-based quantum computer
• Simulating Non-Markovian Dynamics in Multidimensional Electronic Spectroscopy via Quantum Algorithm
• Quantum Error Corrected Non-Markovian Metrology
• Positivity and complete positivity of differentiable quantum processes
• Imaging the interface of a qubit and its quantum-many-body environment
• Non-monotonic population and coherence evolution in Markovian open-system dynamics
• Quantum information flow in impurity qubits interacting with Bose-Bose mixtures
• Non-Markovian Dynamics of Spin Squeezing
• What can unitary sequences tell us about multi-time physics?
• Non-Markovian Transmission through Two Quantum Dots Connected by a Continuum
• Non-Markovian Equilibration Controlled by Symmetry Breaking
• Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
• Non-Markovian environment induced chaos in optomechanical system
• Non-Markovianity of photon dynamics in a birefringent crystal
• Disappearance of entanglement: a topological point of view
• Coherence behavior of strongly coupled bosonic modes
• Collapse and revival structure of information backflow for a central spin coupled to a finite spin bath
• The Minimal Modal Interpretation of Quantum Theory
• Enhancing phase-covariant channel performance with non-unitality
• Quantum non-Markovian behavior at the chaos border
• Effects of the reservoir squeezing on the precision of parameter estimation
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• Witnessing non-Markovianity with Gaussian quantum steering in collision model
• Interplay between the Hilbert-space dimension of a control system and the memory induced by a quantum SWITCH
• Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators
• Comparison of Distances and Entropic Distinguishability Quantifiers for the Detection of Memory Effects
• Exploring the Non-Markovian Dynamics in Depolarizing Maps
• Witness for initial correlations among environments
• Witnessing non-Markovianity by Quantum Quasi-Probability Distributions
• Non-markovianity and bound states in quantum walks with a phase impurity
• Quantum non-Markovian "casual bystander" environments
• Trace decreasing quantum dynamical maps: Divisibility and entanglement dynamics
• Quantification and Control of non-Markovian Evolution in Finite Quantum Systems via Feedback
• Noise-adapted Quantum Error Correction for Non-Markovian Noise
• Quantum Mpemba Effect Induced by Non-Markovian Exceptional Points
• Role of correlations in the thermalization of quantum systems
• Non-Markovianity of subsystem dynamics in isolated quantum many-body systems
• Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Boson-boson pure-dephasing model with non-Markovian properties
• Pointer-based simultaneous measurements of conjugate observables in a thermal environment
• Influence of initial states on memory effects: A study of early-time superradiance
• Preparations and Weak Quantum Control can Witness non-Markovianity
• Genuine entanglement detection via projection map in multipartite systems
• Quantum metrology of a structured reservoir
• Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
• A novel method to investigate how the spatial correlation of the pump beam affects the purity of polarization entangled states
• Decoherence by spontaneous emission: a single-atom analog of superradiance
• Biexponential decay and ultralong coherence of a single qubit
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Non-Markovianity and memory of the initial state
• Transient effects in quantum refrigerators with finite environments
• Transient Dynamics and Homogenization in Incoherent Collision Models
• Information-Theoretic Meaning of Quantum Information Flow and Its Applications to Amplitude Amplification Algorithms
• Interplay between Non-Markovianity of Noise and Dynamics in Quantum Systems
• On the non-Markovianity of quantum semi-Markov processes
• Non-Markovian dynamics of the electronic subsystem in a laser-driven molecule: Characterization and connections with electronic-vibrational entanglement and electronic coherence
• How to describe collective decay of uncoupled modes in the input-output formalism
• Digital simulation of convex mixtures of Markovian and non-Markovian single qubit Pauli channels on NISQ devices
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Time-invariant Discord: High Temperature Limit and Initial Environmental Correlations
• Markovian and non-Markovian dynamics induced by a generic environment
• Persistent nonlocality in an ultracold-atom environment
• On the eternal non-Markovianity of non-unital quantum channels
• Robustness and fragility of Markovian dynamics in a qubit dephasing channel
• Encoding spatial data into quantum observables
• Bounds for the divisibility-based and distinguishability-based non-Markovianity measures
• Ancillary Gaussian modes activate the potential to witness non-Markovianity
• Boundary conditions at a thin membrane that generate non--Markovian normal diffusion
• Open quantum systems in thermal non-ergodic environments
• Quantum dynamical speedup for correlated initial states
• Emergent non-Markovianity and dynamical quantification of the quantum switch
• Comment on "Quantum linear Boltzmann equation with finite intercollision time"
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• System-environment quantum information flow
• Quantifying information flow in quantum processes
• Understanding and utilizing the inner bonds of process tensors
• Non-Markovian dynamics for a two-atom-coupled system interacting with local reservoir at finite temperature
• Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
• Open Quantum Dynamics: Memory Effects and Superactivation of Backflow of Information
• Energy and information propagation in a finite coupled bosonic heat bath
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• Non-Markovianity over ensemble averages in quantum complex networks
• Spectral signatures of the Markovian to Non-Markovian transition in open quantum systems
• Dynamics of Entanglement and the Schmidt Gap in a Driven Light-Matter System
• Hamiltonian characterisation of multi-time processes with classical memory
• Non-Markovian dynamics of few emitters in a laser-driven cavity
• Non-Markovian dynamics of generation of bound states in the continuum via single-photon scattering
• Quantum non-Markovianity and localization
• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed
• Entropic witness for quantum memory in open system dynamics
• Qubit Entanglement generation by Gaussian non-Markovian dynamics
• Machine learning non-Markovian two-level quantum noise spectroscopy
• Integral representation of finite temperature non-Markovian evolution of some RWA systems
• Quantum Chaos in Non-Markovian Open Quantum Systems: Interferometric OTOC, Loschmidt Echo and Commutator Operator Norm
• Gate-Based Initialization and Fidelity in Correlated Open Quantum Systems
• Information flow-enhanced precision in collisional quantum thermometry
• Correlated and Critical Phenomena in Multipartite Quantum Non-Markovianity
• Tunable non-Markovian dynamics in a collision model: an application to coherent transport
• Nonequilibrium quantum thermometry with noncommutative system-bath couplings
• Measuring the degree of unitarity for any quantum process
• Dressed bound states and non-Markovian dynamics with a whispering-gallery-mode microcavity coupled to a two-level atom and a semi-infinite photonic waveguide
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Characterization of non-Markovianity with maximal extractable qubit-reservoir entanglement
• Quantifying quantum non-Markovianity based on quantum coherence via skew information
• Quantum speed-up process of atom in dissipative cavity
• Exact dynamics of single qubit gate fidelities under the measurement-based quantum computation scheme
• Multi-time quantum process tomography on a superconducting qubit
• Fragmentation of a trapped multiple-species bosonic mixture
• Nonequilibrium steady states in multi-bath quantum collision models
• Distillation of quantum non-Markovianity
• Machine Learning approach to the Floquet--Lindbladian problem
• Non-Markovianity in the Adapted Caldeira-Leggett model
• A quantum jump description for the non-Markovian dynamics of the spin-boson model
• Markovian and Non-Markovian dynamics in the one-dimensional transverse-field XY model
• Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance
• Unveiling the Markovian to non-Markovian transition with quantum collision models
• Unidirectional information flow and positive divisibility are nonequivalent notions of quantum Markovianity for noninvertible dynamics
• Distinguishing environment-induced non-Markovianity from subsystem dynamics
• On the relation between quantum Darwinism and approximate quantum Markovianity
• Coherent control of non-Markovian photon-resonator dynamics
• A possible time dependent generalization of the bipartite quantum marginal problem
• Necessary Criteria for Markovian Divisibility of Linear Maps
• Controllable non-Markovianity in phase relaxation
• A measure for adiabatic contributions to quantum transitions
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Limitations of strong coupling in non-Markovian quantum thermometry
• Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings
• Bath energy for correlated initial states versus information flow in local dephasing channels
• Superclassical non-Markovian open quantum dynamics
• An Approximate Bayesian Approach to Optimal Input Signal Design for System Identification
• Inducing nontrivial qubit coherence through a controlled dispersive environment
• Eternally non-Markovian dynamics of a qubit interacting with a single-photon wavepacket
• Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations
• Witnessing Objectivity on a Quantum Computer
• Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
• Estimating the degree of non-Markovianity using variational quantum circuits
• Information back-flow in quantum non-Markovian dynamics and its connection to teleportation
• Memory effects displayed in the evolution of continuous variable system
• Photonic non-Markovianity identification by quantum process capabilities of non-CP processes
• Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
• Pure non-Markovian evolutions
• Initial correlations in open quantum systems are always detectable
• The initial system-bath state via the maximum-entropy principle
• Non-Markovian Dynamics in Fiber Delay-line Buffers
• Discrete time crystals in the presence of non-Markovian dynamics
• Phase space measures of information flow in open systems: A quantum and classical perspective of non-Markovianity
• Model Order Reduction for Open Quantum Systems Based on Measurement-adapted Time-coarse Graining
• Violation of the thermodynamic uncertainty relation in quantum collisional models
• Nonlocal quantum memory effects in a correlated multimode field
• Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
• Exciton propagation via quantum walks based on non-Hermitian coin flip operations
• Memory Effects and Entanglement Dynamics of Finite time Acceleration
• Light Propagation through Space-Time Non-Markovian Random Media
• Detecting Non-Markovianity via Quantified Coherence: Theory and Experiments
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Critical assessment of information back-flow in measurement-free teleportation
• Optimally chosen Nakajima-Zwanzig master equation for mean field approximation
• Equilibration and Typicality in Quantum Processes
• Strongly non-quantitative classical information in quantum carriers
• Frontiers of open quantum system dynamics
• Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
• Polaron effects on the information backflow in Jaynes-Cummings model
• Quantum coherence and entanglement in wireless quantum batteries
• Nonlocal Non-Markovian Effects in Dephasing Environments
• Entropy production versus memory effects in two-level open quantum systems
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation
• Pumping current in a non-Markovian $N$-state model
• Dispersive readout with two orthogonal modes of a dielectric cavity
• Quantifying Decoherence
• Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics
• Collective Quantum Batteries and Charger-Battery Setup in Open Quantum Systems: Impact of Inter-Qubit Interactions, Dissipation, and Quantum Criticality
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
• Control of memory effects in a spin-boson system by periodic driving
• Quantum direct cause across the Cherenkov threshold in circuit QED
• Dynamics and Control of Two Coupled Quantum Oscillators: An Analytical Approach
• Measure of quantum Fisher information flow in multi-parameter scenario
• All-optical implementation of collision-based evolutions of open quantum systems
• Violation of the "information-disturbance relationship" in finite-time quantum measurements
• Quantum Information Approaches to Quantum Gravity
• Emergence of non-Markovian Decoherent Histories in Integrable Environment: A "Tape Recorder" Model for Local Quantum Observables
• Stabilizing boundary time crystals through Non-markovian dynamics
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
• Temperature and non-Markovian parameter estimation in quantum Brownian motion
• Ergotropy-Based Quantum Thermodynamics
• Unification of stochastic matrices and quantum operations for N-level systems
• Non-Markovian processes in quantum theory
• On the distinction between distinguishability of states and witness of non-Markovianity of dynamical maps
• Efficient measure of information backflow with a quasistochastic process
• Engineering qubit dynamics in open systems with photonic synthetic lattices
• Superactivation of memory effects in a classical Markov environment
• Dephasing-Induced Distribution of Entanglement in Tripartite Quantum Systems
• Infinite dimensional dynamical maps
• Efficient and operational quantifier of non-divisibility in terms of channel discrimination
• Quantum dynamics evolution predicted by the long short-term memory network in the photosystem II reaction center
• Deterministic noiseless amplification of coherent states
• Lattice Surgery for Dummies
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Dynamical Maps for Accelerating Detectors
• Non-Markovianity-based ultrasensitive parameter estimation
• Kraus representation for maps and master equation in spin star model with layered environment
• Switching of the information backflow between a helical spin system and non-Markovian bath
• Quantum walks under superposition of causal order
• Efficient Scheme of Experimental Quantifying non-Markovianity in High-Dimension Systems
• Modulating quantum evolution of moving-qubit by using classical driving
• Entropy production in non-Markovian collision models: Information backflow vs system-environment correlations
• Quantum non-Markovianity elusive to interventions
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems
• Open quantum dynamics with singularities: Master equations and degree of non-Markovianity
• Exploiting Gaussian steering to probe non-Markovianity due to the interaction with a structured environment
• Non-Markovian steady states of a driven two-level system
• Time-Dependent Dephasing and Quantum Transport
• Hierarchical-environment-assisted non-Markovian and its effect on thermodynamic properties
• Emulating non-Hermitian dynamics in a finite non-dissipative quantum system
• Exotic collective behaviors of giant quantum emitters in two-dimensional baths
• Photonic realization of nonlocal memory effects and non-Markovian quantum probes
• Effective action approach to quantum and thermal effects: from one particle to Bose-Einstein condensates