Non-Markovianity through accessible information
arXiv:1402.5395 · doi:10.1103/PhysRevLett.112.210402
Abstract
The degree of non-Markovianity of quantum processes has been characterized in several different ways in the recent literature. However, the relationship between the non-Markovian behavior and the flow of information between the system and the environment through an entropic measure has not been yet established. We propose an entanglement-based measure of non-Markovianity by employing the concept of assisted knowledge, where the environment E, acquires information about a system S, by means of its measurement apparatus A. The assisted knowledge, based on the accessible information in terms of von-Neumann entropy, monotonically increases in time for all Markovian quantum processes. We demonstrate that the signatures of non-Markovianity can be captured by the nonmonotonic behaviour of the assisted knowledge. We explore this scenario for a two-level system undergoing a relaxation process, through an experimental implementation using an optical approach that allows full access to the state of the environment.
Final Version
References in corpus (6)
- Non-Markovian effects on the dynamics of entanglement
- Assessing non-Markovian dynamics
- On measures of non-Markovianity: divisibility vs. backflow of information
- Foundations and Measures of Quantum Non-Markovianity
- Non-unital non-Markovianity of quantum dynamics
- Non-divisiblity and non-Markovianity in a Gaussian dissipative dynamics
Cited by in corpus (101)
- Non-Markovian dynamics in open quantum systems
- Concepts of quantum non-Markovianity: a hierarchy
- Operational Markov condition for quantum processes
- Quantum stochastic processes and quantum non-Markovian phenomena
- Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
- Non-Markovian effects on charging and self-discharging processes of quantum batteries
- Completely Positive Divisibility Does Not Mean Markovianity
- Environment-mediated charging process of quantum batteries
- Experimental observation of weak non-Markovianity
- Quantum regression theorem and non-Markovianity of quantum dynamics
- Non-Markovianity through flow of information between a system and an environment
- Implications of non-Markovian dynamics for the Landauer bound
- Non-Markovianity degree for random unitary evolution
- Classical-driving-assisted quantum speed-up
- Characterizing non-Markovianity via quantum interferometric power
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Delineating incoherent non-Markovian dynamics using quantum coherence
- Distributed correlations and information flows within a hybrid multipartite quantum-classical system
- Environmental correlations and Markovian to non-Markovian transitions in collisional models
- Bounds on charging power of open quantum batteries
- Using non-Markovian measures to evaluate quantum master equations for photosynthesis
- Non-Markovianity, coherence and system-environment correlations in a long-range collision model
- Energy backflow and non-Markovian dynamics
- Non-Markovian quantum dynamics: What is it good for?
- Non-Markovian quantum dynamics: What does it mean?
- Environment-mediated entropic uncertainty in charging quantum batteries
- Quantum non-Markovian processes break conditional past-future independence
- The short-time and long-time behaviors of non-Markovianity measure using two-time correlation functions in open quantum systems
- Dynamical Memory Effects in Correlated Quantum Channels
- Enabling quantum non-Markovian dynamics by injection of classical colored noise
- Non-Markovianity in a collision model with environmental block
- Quantum dephasing induced by non-Markovian random telegraph noise
- Experimental realization of high-fidelity teleportation via non-Markovian open quantum system
- Synchronization and Non-Markovianity in open quantum systems
- Capturing non-Markovian dynamics with the reaction coordinate method
- Coarse graining a non-Markovian collisional model
- High Resolution non-Markovianity in NMR
- Conditional past-future correlation induced by non-Markovian dephasing reservoirs
- Controlling entropic uncertainty bound through memory effects
- Entropic bounds on information backflow
- Quantum non-Markovianity: Overview and recent developments
- Estimating the degree of non-Markovianity using machine learning
- Gaussian interferometric power as a measure of continuous variable non-Markovianity
- Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments
- Detection of quantum non-Markovianity close to the Born-Markov approximation
- Extracting Information from Qubit-Environment Correlations
- Overview on the phenomenon of two-qubit entanglement revivals in classical environments
- Entropic and trace distance based measures of non-Markovianity
- Quantum Circuit Engineering for Correcting Coherent Noise
- Thermodynamic description of non-Markovian information flux of nonequilibrium open quantum systems
- Maximally non-Markovian quantum dynamics without environment backflow of information
- Memory kernel and divisibility of Gaussian Collisional Models
- Inequivalence of Correlation-based Measures of Non-Markovianity
- Holevo skew divergence for the characterization of information backflow
- Ping-pong quantum key distribution with trusted noise: non-Markovian advantage
- Non-Markovianity Hierarchy of Gaussian Processes and Quantum Amplification
- Non-Markovianity induced by a single-photon packet in a one-dimensional waveguide
- Non-Markovian dynamics in two-qubit dephasing channels with an application to superdense coding
- Interferometric Approach to Open Quantum Systems and Non-Markovian Dynamics
- Non-Markovian qubit dynamics in a circuit-QED setup
- Quantum causal correlations and non-Markovianity of quantum evolution
- Time-Invariant Discord in Dynamically Decoupled Systems
- Observation of Non-Markovianity at Room Temperature by Prolonging Entanglement in Solids
- Impact of non-Markovian evolution on characterizations of quantum thermodynamics
- Memory Effects in Quantum Processes
- Non-Markovianity through Multipartite Correlation Measures
- Optimal Quantum Thermometry by Dephasing
- Non-Markovian Dynamics in Ultracold Rydberg Aggregates
- Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
- Dynamics of two central spins immersed in spin baths
- Perturbation theory for operational quantum non-Markovianity
- Gate Operations for Superconducting Qubits and Non-Markovianity
- Memory in quantum processes with indefinite time direction and causal order
- Detection of Bidirectional System-Environment Information Exchanges
- Non-Markovianity by undersampling in quantum optical simulators
- Non-Markovianity in High-Dimensional Open Quantum Systems using Next-generation Multicore Optical Fibers
- The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity
- Distributing Memory Effects in an Open Two-Qubit System
- Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
- Detecting Non-Markovianity via Linear Entropy of Choi State
- Non-markovianity and bound states in quantum walks with a phase impurity
- Witness for initial correlations among environments
- Preparations and Weak Quantum Control can Witness non-Markovianity
- Non-Markovian dynamics of the electronic subsystem in a laser-driven molecule: Characterization and connections with electronic-vibrational entanglement and electronic coherence
- Emergent non-Markovianity and dynamical quantification of the quantum switch
- Hamiltonian characterisation of multi-time processes with classical memory
- Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
- On the non-Markovianity of quantum semi-Markov processes
- Dynamics of micro and nanoscale systems in the weak-memory regime: A mathematical framework beyond the Markov approximation
- Quantifying quantum non-Markovianity based on quantum coherence via skew information
- Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
- Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
- Coherence-Driven Quantum Battery Charging via Autonomous Thermal Machines: Energy Transfer, Memory Effects, and Ergotropy Enhancement
- Characterization of non-Markovianity with maximal extractable qubit-reservoir entanglement
- Dynamical matrix for arbitrary quadratic fermionic bath Hamiltonians and non-Markovian dynamics of one and two qubits in an Ising model environment
- Experimental simulation of quantum temporal steering beyond rotating-wave approximation
- Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
- A study of the quasi-probability distributions of the Tavis-Cummings model under different quantum channels
- All-optical implementation of collision-based evolutions of open quantum systems
- Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
- Geometric signature of non-Markovian dynamics