Entanglement and non-Markovianity of quantum evolutions

Abstract

We address the problem of quantifying the non-Markovian character of quantum time-evolutions of general systems in contact with an environment. We introduce two different measures of non-Markovianity that exploit the specific traits of quantum correlations and are suitable for opposite experimental contexts. When complete tomographic knowledge about the evolution is available, our measure provides a necessary and sufficient condition to quantify strictly the non-Markovianity. In the opposite case, when no information whatsoever is available, we propose a sufficient condition for non-Markovianity. Remarkably, no optimization procedure underlies our derivation, which greatly enhances the practical relevance of the proposed criteria.

5 pages, 3 figures, final version

References in corpus (3)

• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Assessing non-Markovian dynamics
• Finding the Kraus decomposition from a master equation and vice versa

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• Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor
• Towards Laser Control of Open Quantum Systems: Memory Effects
• Exploring Non-Markovianity in Ergodic Channels: Measuring Memory Retention through Ergotropy
• Non-Markovian effect on remote state preparation
• Phase-covariant mixtures of non-unital qubit maps
• Entanglement Protection via Periodic Environment Resetting in Continuous Time Quantum Dynamical Processes
• Signatures of non-Markovianity in classical single-time probability distributions
• Quantifying non-Markovianity via local quantum Fisher information
• (Thermo-)dynamics of the spin-boson model in the weak coupling regime: Application as a quantum battery
• Facets of correlated non-Markovian channels
• Memory effects in quantum dynamics modelled by quantum renewal processes
• A classification of Markovian fermionic Gaussian master equations
• Rise and fall of entanglement between two qubits in a non-Markovian bath
• Read-out of Quasi-periodic Systems using Qubits
• Non-Markovianity and Clauser-Horne-Shimony-Holt (CHSH)-Bell inequality violation in quantum dissipative systems
• Engineering classical capacity of generalized Pauli channels with admissible memory kernels
• Quantum correlations dynamics under different non-markovian environmental models
• Collapse and revival structure of information backflow for a central spin coupled to a finite spin bath
• Coherence behavior of strongly coupled bosonic modes
• Witnessing non-Markovianity with Gaussian quantum steering in collision model
• Quantum Error Corrected Non-Markovian Metrology
• Exploring the Non-Markovian Dynamics in Depolarizing Maps
• Interplay between the Hilbert-space dimension of a control system and the memory induced by a quantum SWITCH
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• System-bath entanglement of noninteracting fermionic impurities: Equilibrium, transient, and steady-state regimes
• Superiority in dense coding through non-Markovian stochasticity
• Quantum coherence dynamics of displaced squeezed thermal state in a Non-Markovian environment
• What can unitary sequences tell us about multi-time physics?
• Detecting Non-Markovianity via Linear Entropy of Choi State
• Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators
• Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
• Non-monotonic population and coherence evolution in Markovian open-system dynamics
• Positivity and complete positivity of differentiable quantum processes
• Non-Markovianity of photon dynamics in a birefringent crystal
• Detecting non-Markovianity from continuous monitoring
• Quantum non-Markovian behavior at the chaos border
• Non-Markovian Equilibration Controlled by Symmetry Breaking
• Non-Markovian Dynamics of Spin Squeezing
• Disappearance of entanglement: a topological point of view
• The transition from non-Markovian to Markovian dynamics for generic environments
• Influence of initial states on memory effects: A study of early-time superradiance
• Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes
• Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
• Non-Markovianity of subsystem dynamics in isolated quantum many-body systems
• Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
• Memory effects in multipartite systems coupled by non-diagonal dephasing mechanisms
• Non-markovianity and bound states in quantum walks with a phase impurity
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
• Quantification and Control of non-Markovian Evolution in Finite Quantum Systems via Feedback
• Quantum non-Markovian "casual bystander" environments
• Trace decreasing quantum dynamical maps: Divisibility and entanglement dynamics
• Non-Markovianity and memory of the initial state
• Witness for initial correlations among environments
• Preparations and Weak Quantum Control can Witness non-Markovianity
• Boson-boson pure-dephasing model with non-Markovian properties
• Noise-adapted Quantum Error Correction for Non-Markovian Noise
• Genuine entanglement detection via projection map in multipartite systems
• Role of correlations in the thermalization of quantum systems
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Non-Markovian Light-Matter Dynamics in the Time Fractional Jaynes-Cummings Model with Modulated Coupling
• Robustness and fragility of Markovian dynamics in a qubit dephasing channel
• Non-Markovian dynamics of few emitters in a laser-driven cavity
• Information-Theoretic Meaning of Quantum Information Flow and Its Applications to Amplitude Amplification Algorithms
• Trends of information backflow in disordered spin chains
• Non-Markovian dynamics of the electronic subsystem in a laser-driven molecule: Characterization and connections with electronic-vibrational entanglement and electronic coherence
• Non-Markovianity over ensemble averages in quantum complex networks
• Qubit Entanglement generation by Gaussian non-Markovian dynamics
• Markovian and non-Markovian dynamics induced by a generic environment
• Boundary conditions at a thin membrane that generate non--Markovian normal diffusion
• Geometry of symmetric and non-invertible Pauli channels
• On the non-Markovianity of quantum semi-Markov processes
• Energy and information propagation in a finite coupled bosonic heat bath
• Digital simulation of convex mixtures of Markovian and non-Markovian single qubit Pauli channels on NISQ devices
• Leggett-Garg inequality in Markovian quantum dynamics: role of temporal sequencing of coupling to bath
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• Non-Markovian dynamics for a two-atom-coupled system interacting with local reservoir at finite temperature
• On the eternal non-Markovianity of non-unital quantum channels
• The impact of memory on learning sequence-to-sequence tasks
• Ancillary Gaussian modes activate the potential to witness non-Markovianity
• Engineering non-Markovianity from defect-phonon interactions
• Quantum dynamical speedup for correlated initial states
• Transient effects in quantum refrigerators with finite environments
• Emergent non-Markovianity and dynamical quantification of the quantum switch
• Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
• Understanding and utilizing the inner bonds of process tensors
• Dynamics of quantum entanglement in the reservoir with memory effects
• Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
• Open Quantum Dynamics: Memory Effects and Superactivation of Backflow of Information
• Quantum Thermodynamics of Open Quantum Systems: Nature of Thermal Fluctuations
• Quantum Property Preservation
• Spectral signatures of the Markovian to Non-Markovian transition in open quantum systems
• Bounds for the divisibility-based and distinguishability-based non-Markovianity measures
• Hamiltonian characterisation of multi-time processes with classical memory
• Chain representations of open quantum systems and their numerical simulation with time-adapative density matrix renormalisation group methods
• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed
• Entropic witness for quantum memory in open system dynamics
• Real-time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm For Noisy Quantum Circuit Simulations
• Quantum non-Markovianity and localization
• Non-Markovianity of geometrical qudit decoherence
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Measuring the degree of unitarity for any quantum process
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Characterization of non-Markovianity with maximal extractable qubit-reservoir entanglement
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
• Exact dynamics of single qubit gate fidelities under the measurement-based quantum computation scheme
• Evolution of open quantum systems: time scales, stochastic and continuous processes
• Distinguishing environment-induced non-Markovianity from subsystem dynamics
• No-Signaling in Steepest Entropy Ascent: A Nonlinear Non-local Non-equilibrium Quantum Dynamics of Composite Systems
• Correlated and Critical Phenomena in Multipartite Quantum Non-Markovianity
• Coherent control of non-Markovian photon-resonator dynamics
• Necessary Criteria for Markovian Divisibility of Linear Maps
• Exact Entanglement Dynamics of Two Spins in Finite Baths
• Multi-time quantum process tomography on a superconducting qubit
• Relating CP divisibility of dynamical maps with compatibility of channels
• Quantifying quantum non-Markovianity based on quantum coherence via skew information
• 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
• Unidirectional information flow and positive divisibility are nonequivalent notions of quantum Markovianity for noninvertible dynamics
• Fermionic duality: General symmetry of open systems with strong dissipation and memory
• Quantum speed-up process of atom in dissipative cavity
• Radiative decay of an emitter due to non-Markovian interactions with dissipating matter
• Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings
• Learning the non-Markovian features of subsystem dynamics
• Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
• Pure non-Markovian evolutions
• Equilibration and Typicality in Quantum Processes
• A non-Markovian Dissipative Maryland Model
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Memory Effects and Entanglement Dynamics of Finite time Acceleration
• Initial correlations in open quantum systems are always detectable
• Detecting Non-Markovianity via Quantified Coherence: Theory and Experiments
• Non-Markovian Dynamics in Fiber Delay-line Buffers
• Dynamical matrix for arbitrary quadratic fermionic bath Hamiltonians and non-Markovian dynamics of one and two qubits in an Ising model environment
• Model Order Reduction for Open Quantum Systems Based on Measurement-adapted Time-coarse Graining
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics
• Frontiers of open quantum system dynamics
• Critical assessment of information back-flow in measurement-free teleportation
• Upper bounds on the leakage of private data and operational approach to markovianity
• Non-Markovianity and entanglement detection
• Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
• Estimating the degree of non-Markovianity using variational quantum circuits
• Increasing extractable work in small qubit landscapes
• A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
• Information back-flow in quantum non-Markovian dynamics and its connection to teleportation
• Memory effects displayed in the evolution of continuous variable system
• Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
• Nonlocal quantum memory effects in a correlated multimode field
• Eternally non-Markovian dynamics of a qubit interacting with a single-photon wavepacket
• Photonic non-Markovianity identification by quantum process capabilities of non-CP processes
• Efficient measure of information backflow with a quasistochastic process
• On the distinction between distinguishability of states and witness of non-Markovianity of dynamical maps
• Spectral Transfer Tensor Method for Non-Markovian Noise Characterization
• Decoherence-free subspaces and Markovian revival of genuine multipartite entanglement in a dissipative system
• Heisenberg's Limit Phase Sensitivity in The Presence of Decoherence Channels
• Non-Markovian processes in quantum theory
• Exploiting Gaussian steering to probe non-Markovianity due to the interaction with a structured environment
• Open quantum dynamics with singularities: Master equations and degree of non-Markovianity
• Time-Dependent Dephasing and Quantum Transport
• Thermal Quantum Speed Limit for Classical-Driving Open Systems
• Geometric signature of non-Markovian dynamics
• Hierarchical-environment-assisted non-Markovian and its effect on thermodynamic properties
• Unification of stochastic matrices and quantum operations for N-level systems
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Commutativity and the emergence of classical objectivity
• Non-Markovian steady states of a driven two-level system
• Ergotropy-Based Quantum Thermodynamics
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
• Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics
• Photonic realization of nonlocal memory effects and non-Markovian quantum probes
• Infinite dimensional dynamical maps
• A Sufficient Criterion for Divisibility of Quantum Channels
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation
• Dephasing-Induced Distribution of Entanglement in Tripartite Quantum Systems
• Polaron effects on the information backflow in Jaynes-Cummings model
• Efficient and operational quantifier of non-divisibility in terms of channel discrimination
• Dynamics and Control of Two Coupled Quantum Oscillators: An Analytical Approach
• Superactivation of memory effects in a classical Markov environment
• Lattice Surgery for Dummies
• Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
• Quantum Information Approaches to Quantum Gravity
• All-optical implementation of collision-based evolutions of open quantum systems
• Control of memory effects in a spin-boson system by periodic driving
• Nonlocal Non-Markovian Effects in Dephasing Environments