Dynamics of quantum correlations in two-qubit systems within non-Markovian environments

Abstract

Knowledge of the dynamical behavior of correlations with no classical counterpart, like entanglement, nonlocal correlations and quantum discord, in open quantum systems is of primary interest because of the possibility to exploit these correlations for quantum information tasks. Here we review some of the most recent results on the dynamics of correlations in bipartite systems embedded in non-Markovian environments that, with their memory effects, influence in a relevant way the system dynamics and appear to be more fundamental than the Markovian ones for practical purposes. Firstly, we review the phenomenon of entanglement revivals in a two-qubit system for both independent environments and a common environment. We then consider the dynamics of quantum discord in non-Markovian dephasing channel and briefly discuss the occurrence of revivals of quantum correlations in classical environments.

20 pages, 4 figures. Review article, in press in Int. J. Mod. Phys. B, special issue "Classical Vs Quantum correlations in composite systems", edited by L. Amico, S. Bose, V. Korepin and V. Vedral

References in corpus (26)

• Finite-Time Disentanglement via Spontaneous Emission
• Quantum discord and the power of one qubit
• Necessary and sufficient condition for non-zero quantum discord
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Sudden Death of Entanglement
• Experimental quantum computing without entanglement
• Non-Markovian effects on the dynamics of entanglement
• Robustness of quantum discord to sudden death
• Protecting entanglement via the quantum Zeno effect
• Dark periods and revivals of entanglement in a two qubit system
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
• Entanglement dynamics of two independent qubits in environments with and without memory
• Sudden death and sudden birth of entanglement in common structured reservoirs
• Ultrahigh finesse Fabry-Perot superconducting resonator
• Direct measurement of finite-time disentanglement induced by a reservoir
• Frozen discord in non-Markovian dephasing channels
• Quantum resources for hybrid communication via qubit-oscillator states
• Entanglement Evolution in the Presence of Decoherence
• Entanglement dynamics in superconducting qubits affected by local bistable impurities
• Off-resonant entanglement generation in a lossy cavity
• Dicke model and environment-induced entanglement in ion-cavity QED
• Entanglement Dynamics of Two Independent Cavity-Embedded Quantum Dots
• Bell inequality violation versus entanglement in presence of local decoherence
• Time Invariant Discord and Non-Markovianity
• Decay of nonlocality due to adiabatic and quantum noise in the solid state

Cited by in corpus (121)

• Open-System Dynamics of Entanglement
• Quantum discord and its allies: a review
• Environmental dynamics, correlations, and the emergence of noncanonical equilibrium states in open quantum systems
• Observation of non-Markovian micro-mechanical Brownian motion
• Non-Markovianity through accessible information
• Cavity-based architecture to preserve quantum coherence and entanglement
• Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
• Quantum speedup in a memory environment
• Comparative study of non-Markovianity measures in exactly solvable one and two qubit models
• One-norm geometric quantum discord under decoherence
• Non-Hermitian quantum dynamics of a two-level system and models of dissipative environments
• Non-Markovian random unitary qubit dynamics
• Non-Markovianity through flow of information between a system and an environment
• Hierarchy and dynamics of trace distance correlations
• Non-Markovianity degree for random unitary evolution
• Harnessing non-Markovian quantum memory by environmental coupling
• Universal freezing of quantum correlations within the geometric approach
• Exploring multipartite quantum correlations with the square of quantum discord
• Non-Markovianity of colored noisy channels
• Distributed correlations and information flows within a hybrid multipartite quantum-classical system
• Protecting entanglement by adjusting the velocities of moving qubits inside non-Markovian environments
• Fermionic statistics suppresses Fano resonances
• Steady-state entanglement of spatially separated qubits via quantum bath engineering
• Robust entanglement preparation against noise by controlling spatial indistinguishability
• Stationary three-dimensional entanglement via dissipative Rydberg pumping
• Quantum correlations in the 1-D driven dissipative transverse field XY model
• Unifying approach to the quantification of bipartite correlations by Bures distance
• Time correlation functions for non-Hermitian quantum systems
• Dissipation-driven entanglement between qubits mediated by plasmonic nanoantennas
• Validity of Landauer principle and quantum memory effects via collision models
• Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks
• Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
• Enabling quantum non-Markovian dynamics by injection of classical colored noise
• To freeze or not to: Quantum correlations under local decoherence
• Role of initial system-environment correlations: A master equation approach
• Non-Markovian continuous-time quantum walks on lattices with dynamical noise
• Universality of Schmidt decomposition and particle identity
• Quantum entropy of systems described by non-Hermitian Hamiltonians
• Exact dynamics of quantum correlations of two qubits coupled to bosonic baths
• Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
• Effects of classical fluctuating environments on decoherence and bipartite quantum correlations dynamics
• Quantum metrology in a non-Markovian quantum evolution
• A Knob for Markovianity
• Coherence and entanglement dynamics of vibrating qubits
• Dissipative dynamics of quantum correlations in the strong-coupling regime
• Entanglement transfer in a noisy cavity network with parity-deformed radiation fields
• Relations between entanglement and purity in non-Markovian dynamics
• Validating and controlling quantum enhancement against noise by motion of a qubit
• Non-Markovianity and coherence of a moving qubit inside a leaky cavity
• Information backflow as a resource for entanglement
• Comparison of non-Markovianity criteria in a qubit system under random external fields
• Entangling protocols due to non-Markovian dynamics
• Quantumness and memory of one qubit in a dissipative cavity under classical control
• Overview on the phenomenon of two-qubit entanglement revivals in classical environments
• Noisy propagation of Gaussian states in optical media with finite bandwidth
• Experimental investigation of Markovian and non-Markovian channel addition
• Collapse-revival of quantum discord and entanglement
• Experimental detection of polarization-frequency quantum correlations in a photonic quantum channel by local operations
• Dynamics of spatially indistinguishable particles and entanglement protection
• Quantum Liang Information Flow as Causation Quantifier
• Entanglement robustness via spatial deformation of identical particle wave functions
• Frozen Gaussian quantum discord in photonic crystal cavity array system
• Effect of local filtering on Freezing Phenomena of Quantum Correlation
• Monogamy deficit for quantum correlation in multipartite quantum system
• Spin-echo entanglement protection from random telegraph noise
• Non-Markovian dynamics in the extended cluster spin-1/2 XX chain
• Quantum simulations of dissipative dynamics: time-dependence instead of size
• Broadcasting of Quantum Correlations: Possibilities & Impossibilities
• Quantum correlations and speed limit of central spin system
• Initial correlation in a system of a spin coupled to a spin bath through an intermediate spin
• Arbitrary spin in a spin bath: Exact dynamics and approximation techniques
• Embedding quantum systems with a non-conserved probability in classical environments
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
• Influence of the external pressure on the quantum correlations of molecular magnets
• Exact dynamics for optical coherent-state qubits subject to environment noise
• Long-lived quantum coherence of two-level spontaneous emission models within structured environments
• Multiple single-photon generations in three-level atoms coupled to cavity with non-Markovian effects
• Enhancing robustness of multiparty quantum correlations using weak measurement
• Purification and switching protocols for dissipatively stabilized entangled qubit states
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• Arbitrary length XX spin chains boundary-driven by non-Markovian environments
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Bipartite entanglement dynamics of two-level systems in sub-Ohmic reservoirs
• Robust engineering of maximally entangled states by identical particle interferometry
• The decay of quantum correlations between quantum dot spin qubits and the characteristics of its magnetic field dependence
• Entanglement thresholds for displaying the quantum nature of teleportation
• Entanglement and quantum teleportation via decohered tripartite entangled states
• Purification in Rapid Repeated Interaction Systems
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Classical Simulation of Arbitrary Quantum Noise
• Local generation of entanglement with Redfield dynamics
• Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system
• Geometric Discord Of the Jaynes-Cummings Model: Pure Dephasing Regime
• Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
• Sudden Decoherence Transitions for Quantum Discord
• Quantum dynamics of a macroscopic magnet operating as environment of a mechanical oscillator
• Nonmaximally entangled states can be better for quantum correlation distribution and storage
• Role of complementary correlations in the evolution of classical and quantum correlations under Markovian decoherence
• Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
• Embedded Quantum Correlations in thermalized quantum Rabi systems
• Adiabatic freezing of long-range quantum correlations in spin chains
• Pre-management of Disentanglement
• Reversed interplay of quantum interference and which-way information in multi-photon entangled states
• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed
• Computing coherence vectors and correlation matrices, with application to quantum discord quantification
• Influence of classic noise on entangled state formation in parametric systems
• Behavior of quantum correlations under nondissipative decoherence by means of the correlation matrix
• Markovian and Non-Markovian dynamics in the one-dimensional transverse-field XY model
• 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
• Unified scheme for correlations using linear relative entropy
• Anomalous decoherence effects in driven coupled quantum spin systems
• Numerical search for universal entanglers in C3xC4 and C4xC4
• Experimental realization of local-to-global noise transition in a two-qubit optical simulator
• Memory Effects and Entanglement Dynamics of Finite time Acceleration
• Multipartite distribution property of one way discord beyond measurement
• Frozen discord in stochastic dephasing environment
• Nonlocality threshold for entanglement under general dephasing evolutions: A case study
• Wigner distribution function of atomic system interacts locally with a deformed cavity
• Some aspects of the interplay between bipartite correlations and quantum channels
• Dependence on state preparation of noise induced effects in multiqubit systems