Hierarchy of quantum correlations under non-Markovian dynamics

Abstract

We investigate the dynamics of quantum correlations (QC) under the effects of reservoir memory, as a resource for quantum information and computation tasks. Quantum correlations of two-qubit systems are used for implementing quantum teleportation successfully, and for investigating how teleportation fidelity, violation of Bell-CHSH inequality, quantum steering and entanglement are connected with each other under the influence of noisy environments. Both Markovian and non-Markovian channels are considered, and it is shown that the decay and revival of correlations follow the hierarchy of quantum correlations in the state space. Noise tolerance of quantum correlations are checked for different types of unital and non-unital quantum channels, with and without memory. The quantum speed limit time $({\tau }_{QSL})$ is investigated from the perspective of memory of quantum noise, and the corresponding dynamics is used to analyze the evolution of quantum correlations. We establish the connection between information backflow, quantum speed limit time and dynamics of quantum correlations for non-Markovian quantum channels.

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References in corpus (48)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• The maximum speed of dynamical evolution
• Non-Markovian effects on the dynamics of entanglement
• Quantum speed limit for physical processes
• Quantum speed limit for non-Markovian dynamics
• Quantum speed limits in open system dynamics
• Quantum discord as resource for remote state preparation
• Measures and applications of quantum correlations
• Quantum Cryptography Based on Orthogonal States
• Teleportation, Bell's Inequalities and Inseparability
• Completely positive maps with memory
• Quantification of Einstein-Podolski-Rosen steering for two-qubit states
• Completely Positive Divisibility Does Not Mean Markovianity
• The squeezed generalized amplitude damping channel
• Entanglement Evolution in a Non-Markovian Environment
• Thermodynamics of non-Markovian reservoirs and heat engines
• Frozen discord in non-Markovian dephasing channels
• Quantum states with a positive partial transpose are useful for metrology
• Non-Markovian evolution: a quantum walk perspective
• Entanglement and the Lower Bounds on the Speed of Quantum Evolution
• Sudden change of quantum discord for a system of two qubits
• Non-Markovian dephasing and depolarizing channels
• Geometric Phase of a qubit interacting with a squeezed-thermal bath
• Quantum correlations in B and K meson systems
• Temporal self-similarity of quantum dynamical maps as a concept of memorylessness
• Study of coherence and mixedness in meson and neutrino systems
• Dynamics of entanglement in Two-Qubit Open System Interacting with a Squeezed Thermal Bath via Dissipative interaction
• Facets of quantum information under non-Markovian evolution
• Role of non-Markovianity and backflow of information in the speed of quantum evolution
• Dissipative and Non-dissipative Single-Qubit Channels: Dynamics and Geometry
• The quantum cryptographic switch
• There is no general connection between the quantum speed limit and non-Markovianity
• Entanglement and the Speed of Evolution in Mixed States
• Quantum cryptography over non-Markovian channels
• Study of temporal quantum correlations in decohering B and K meson systems
• Characterization of Unruh Channel in the context of Open Quantum Systems
• Tomograms for open quantum systems: in(finite) dimensional optical and spin systems
• Entanglement Dynamics in Two-Qubit Open System Interacting with a Squeezed Thermal Bath via Quantum Nondemolition interaction
• Decoherence can help quantum cryptographic security
• Controllable quantum correlations of two-photon states generated using classically driven three-level atoms
• Tri-partite non-maximally entangled mixed states as a resource for optimum controlled quantum teleportation fidelity
• Entanglement detection from channel parameter estimation problem
• Entropic Leggett-Garg inequality in neutrinos and B (K) meson systems
• A study of coherence based measure of quantumness in (non) Markovian channels

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• Facets of correlated non-Markovian channels
• Non-Hermitian quantum walks and non-Markovianity: the coin-position interaction
• On the non-Markovianity of quantum semi-Markov processes
• Non-Markovianity in Discrete-Time Open Quantum Random Walk on Arbitrary Graphs
• On the eternal non-Markovianity of non-unital quantum channels
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• Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation
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