Quantum discord and non-Markovianity of quantum dynamics
arXiv:1203.2347 · doi:10.1103/PhysRevA.85.052108
Abstract
The problem of recognizing (non-)Markovianity of a quantum dynamics is revisited through analyzing quantum correlations. We argue that instantaneously-vanishing quantum discord provides a necessary and sufficient condition for Markovianity of a quantum map. This is used to introduce a measure of non-Markovianity. This measure, however, requires demanding knowledge about the system and the environment. By using a quantum correlation monogamy property and an ancillary system, we propose a simplified measure with less requirements. Non-Markovianity is thereby decided by quantum state tomography of the system and the ancilla.
5 pages, 3 figures
References in corpus (30)
- Quantum entanglement
- Introducing Quantum Discord
- Classical, quantum and total correlations
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Entanglement and non-Markovianity of quantum evolutions
- Unified View of Quantum and Classical Correlations
- Assessing non-Markovian dynamics
- Almost all quantum states have non-classical correlations
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Quantum discord of two-qubit X-states
- Dividing Quantum Channels
- Markovian Master Equations: A Critical Study
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Revival of quantum correlations without system-environment back-action
- Markovian and non-Markovian dynamics in quantum and classical systems
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Conservation law for distributed entanglement of formation and quantum discord
- Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
- From Completely Positive Maps to the Quantum Markovian Semigroup Master Equation
- Quantum Semi-Markov Processes
- Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
- Witnessing quantum discord in 2 x N systems
- Frozen discord in non-Markovian dephasing channels
- Extracting dynamical equations from experimental data is NP-hard
- Detecting the quantum discord of an unknown state by a single observable
- Observable estimation of entanglement of formation and quantum discord for bipartite mixed quantum states
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- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum discord and its allies: a review
- Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
- Environmental correlations and Markovian to non-Markovian transitions in collisional models
- System-environment correlations and Non-Markovian dynamics
- Non-Markovianity and memory effects in quantum open systems
- Quantum non-Markovianity: Overview and recent developments
- Geometric quantum discord and non-Markovianity of structured reservoirs
- Non-Markovian Toy Quantum Chain
- Monogamy and backflow of mutual information in non-Markovian thermal baths
- Progress towards a unified approach to entanglement distribution
- Decoherence Dynamics of Measurement-Induced Nonlocality and comparison with Geometric Discord for two qubit systems
- Long range quantum coherence, quantum & classical correlations in Heisenberg XX chain
- Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
- The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity
- Quantum non-Markovian behavior at the chaos border
- Non-Markovian dynamics for a two-atom-coupled system interacting with local reservoir at finite temperature
- Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
- Unification of stochastic matrices and quantum operations for N-level systems
- Open quantum dynamics with singularities: Master equations and degree of non-Markovianity