Quantum discord and its allies: a review

Abstract

We review concepts and methods associated with quantum discord and related topics. We also describe their possible connections with other aspects of quantum information and beyond, including quantum communication, quantum computation, many-body physics, and open quantum dynamics. Quantum discord in the multiparty regime and its applications are also discussed.

65 pages, 20 figures, Review

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• Quantum discord and quantum phase transition in spin chains
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• Entanglement and the Power of One Qubit
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• Quantum non-locality in two three-level systems
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Efficiency of energy transfer in a light-harvesting system under quantum coherence
• Quantum discord for general two--qubit states: Analytical progress
• Global Quantum Discord in Multipartite Systems
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Quantum discord of two-qubit X-states
• Non-Markovian effect on the quantum discord
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Computing quantum discord is NP-complete
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Linking Quantum Discord to Entanglement in a Measurement
• Remote Preparation of Single-Photon "Hybrid" Entangled and Vector-Polarization States
• Remote state preparation: arbitrary remote control of photon polarization
• Geometric quantum discord through the Schatten 1-norm
• Quantum discord determines the interferometric power of quantum states
• Thermal concurrence mixing in a 1D Ising model
• Disentanglement and Decoherence by Open System Dynamics
• Quantum state merging and negative information
• The problem with the geometric discord
• On the volume of the set of mixed entangled states II
• On the role of entanglement and correlations in mixed-state quantum computation
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
• Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
• Faithful remote state preparation using finite classical bits and a non-maximally entangled state
• All non-classical correlations can be activated into distillable entanglement
• Spin flips and quantum information for anti-parallel spins
• System-reservoir dynamics of quantum and classical correlations
• Sophisticated quantum search without entanglement
• Monotones and invariants for multi-particle quantum states
• Oblivious remote state preparation
• A quantum-mechanical Maxwell's demon
• Einselection and Decoherence from an Information Theory Perspective
• Reversible transformations from pure to mixed states, and the unique measure of information
• Entanglement, quantum phase transition and scaling in XXZ chain
• Quantum and classical thermal correlations in the XY spin-1/2 chain
• Remote Preparation of Mixed States via Noisy Entanglement
• Operational Significance of Discord Consumption: Theory and Experiment
• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Quantum Discord and the Geometry of Bell-Diagonal States
• Entanglement Trapping in Structured Environments
• A rigorous treatment of distillable entanglement
• Completely Positive Maps and Classical Correlations
• Local indistinguishability: more nonlocality with less entanglement
• Local indistinguishability and LOCC monotones
• Quantum many-body theory of qubit decoherence in a finite-size spin bath
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Partial Teleportation of Entanglement in the Noisy Environment
• Decoherence induced by interacting quantum spin baths
• Experimental Implementation of Remote State Preparation by Nuclear Magnetic Resonance
• Entanglement dynamics and quantum state transport in spin chains
• Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
• Effects of anisotropy on thermal entanglement
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Behavior of Quantum Correlations under Local Noise
• Revival of quantum correlations without system-environment back-action
• Classical randomness in quantum measurements
• Reflections upon separability and distillability
• Performance bound for quantum absorption refrigerators
• Quantum discord and geometry for a class of two-qubit states
• Quantum discord bounds the amount of distributed entanglement
• Remote preparation of an atomic quantum memory
• Dynamics of initially entangled open quantum systems
• Entropy and Correlation Functions of a Driven Quantum Spin Chain
• Conservation law for distributed entanglement of formation and quantum discord
• Distributed quantum dense coding
• Are general quantum correlations monogamous?
• Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
• Optimal local discrimination of two multipartite pure states
• General monogamy relation for the entanglement of formation in multiqubit systems
• Toward computability of trace distance discord
• Optimal measurements to access classical correlations of two-qubit states
• Quantum cost for sending entanglement
• Signatures of non-classicality in mixed-state quantum computation
• Information as a resource in distributed quantum systems
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Superconducting Qubits: A Short Review
• Studying quantum spin systems through entanglement estimators
• Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
• Monogamy inequality for distributed Gaussian entanglement
• Environment-induced sudden transition in quantum discord dynamics
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Entanglement in a first order quantum phase transition
• Entanglement and Quantum Phase Transition Revisited
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Irreversibility for all bound entangled states
• Quantum Correlations and Coherence in Spin-1 Heisenberg Chains
• Thermal entanglement in three-qubit Heisenberg models
• Separable states can be used to distribute entanglement
• Channel Capacities versus Entanglement Measures in Multiparty Quantum States
• Quantum discord for two-qubit X states: Analytical formula with very small worst-case error
• Minimum output entropy of bosonic channels: a conjecture
• Negativity of quantumness and its interpretations
• One-norm geometric quantum discord under decoherence
• Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
• Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
• Quantum information and physics: some future directions
• Fermionic entanglement in itinerant systems
• Composed ensembles of random unitary matrices
• Monogamy properties of quantum and classical correlations
• Physical accessibility of non-completely positive maps
• Quantum and classical correlations in the one-dimensional XY model with Dzyaloshinskii-Moriya interaction
• Nonlinear entanglement witnesses
• Universal quantum computation with little entanglement
• Geometric quantum discord with Bures distance
• Quantum discord and local demons
• Recovering Entanglement by Local Operations
• On entropy growth and the hardness of simulating time evolution
• Observable measure of bipartite quantum correlations
• Accessible information and optimal strategies for real symmetrical quantum sources
• Calculation of quantum discord for qubit-qudit or N qubits
• Do all pure entangled states violate Bell's inequalities for correlation functions?
• Entanglement invariant for the double Jaynes-Cummings model
• Are the laws of entanglement theory thermodynamical?
• Theoretical and experimental aspects of quantum discord and related measures
• Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states
• Upper bound and shareability of quantum discord based on entropic uncertainty relations
• Measurement-induced nonlocality based on the trace norm
• Dynamics of quantum correlations in colored environments
• Experimental detection of non-classical correlations in mixed state quantum computation
• Quantum correlated heat engine with nonlinear spin-spin interactions
• Quantum discord in finite XY chains
• Creating quantum correlations through local non-unitary memoryless channels
• Entanglement and correlation in anisotropic quantum spin systems
• Local Detection of Quantum Correlations with a Single Trapped Ion
• On complete positivity, Markovianity, and the quantum data-processing inequality, in the presence of initial system-environment correlations
• On the hardness of classically simulating the one clean qubit model
• A characterization of continuous variable entanglement
• Quantum state majorization at the output of bosonic Gaussian channels
• Experimentally Witnessing the Quantumness of Correlations
• Maximally discordant mixed states of two qubits
• Witnessing quantum discord in 2 x N systems
• Quantum Information Processing in Optical Lattices and Magnetic Microtraps
• Broadcasting of entanglement via local copying
• Remote Preparation of a Qudit Using Maximally Entangled States of Qubits
• Monogamy of entanglement of formation
• Phase Diagram of $S=1$ Bond-Alternating XXZ chains
• Macroscopic entanglement jumps in model spin systems
• All entangled pure states violate a single Bell's inequality
• Progressive Decoherence and Total Environmental Disentanglement
• Necessary and sufficient conditions for local creation of quantum correlation
• Universal freezing of quantum correlations within the geometric approach
• Witnessed entanglement and the geometric measure of quantum discord
• Scaling of the entanglement spectrum near quantum phase transitions
• Order from Disorder in Graphene Quantum Hall Ferromagnet
• Nonclassical correlation in NMR quadrupolar systems
• Non-classical correlations in non-Markovian continuous variable systems
• Unified view of correlations using the square norm distance
• Optimality of Gaussian Discord
• Tight lower bound to the geometric measure of quantum discord
• Interplay between computable measures of entanglement and other quantum correlations
• Frozen discord in non-Markovian dephasing channels
• Exploring multipartite quantum correlations with the square of quantum discord
• Robustness of quantum correlations against decoherence
• Faithful nonclassicality indicators and extremal quantum correlations in two-qubit states
• Spotlighting quantum critical points via quantum correlations at finite temperatures
• How Discord underlies the Noise Resilience of Quantum Illumination
• Dynamics of geometric and entropic quantifiers of correlations in open quantum systems
• Observation of environment-induced double sudden transitions in geometric quantum correlations
• Correlation Dynamics of Qubit-Qutrit Systems in a Classical Dephasing Environment
• Measuring bipartite quantum correlations of an unknown state
• Sudden change in quantum and classical correlations and the Unruh effect
• Detecting nonclassical system-environment correlations by local operations
• Bounds on relative entropy of entanglement for multi-party systems
• Optimal Entanglement Witnesses for Qubits and Qutrits
• Experimental investigation of the non-Markovian dynamics of classical and quantum correlations
• Dynamics of entropic measurement-induced nonlocality in structured reservoirs
• Performance of various correlation measures in quantum renormalization-group method: A case study of quantum phase transition
• Distillation of local purity from quantum states
• Global quantum correlations in finite-size spin chains
• Quantum resources for hybrid communication via qubit-oscillator states
• Correlation complementarity yields Bell monogamy relations
• Quantum coherence and sensitivity of avian magnetoreception
• Assisted state discrimination without entanglement
• Experimental distribution of entanglement with separable carriers
• Vanishing quantum discord is not necessary for completely-positive maps
• Super Quantum Discord with Weak Measurements
• Quantum correlations and distinguishability of quantum states
• Long-range quantum discord in critical spin systems
• Optimally Conclusive Discrimination of Non-orthogonal Entangled States Locally
• Quantum discord and multipartite correlations
• On the optimal measurement for quantum discord of two-qubit states
• Separability and correlations in composite states based on entropy methods
• Homodyne estimation of Gaussian quantum discord
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Quantum cloning in spin networks
• Quantum-correlating power of local quantum channels
• The volume of separable states is super-doubly-exponentially small
• Optimal super dense coding over noisy quantum channels
• The entanglement of Heisenberg chain with next-nearest-neighbor interaction
• Experimental entanglement distribution by separable states
• Quantum Discord and its Role in Quantum Information Theory
• Could light harvesting complexes exhibit non-classical effects at room temperature?
• Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
• Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
• Entanglement dynamics in superconducting qubits affected by local bistable impurities
• Quantum Dissension: Generalizing Quantum Discord for Three-Qubit States
• Time-evolution of tripartite quantum discord and entanglement under local and non-local random telegraph noise
• Scaling of quantum discord in spin models
• Accurate determination of the Gaussian transition in spin-1 chains with single-ion anisotropy
• Tight lower bound on geometric discord of bipartite states
• Quantum discord of two-qubit rank-two states
• Entanglement and discord: accelerated observations of local and global modes
• Distributing Entanglement with Separable States
• Linear Assignment Maps for Correlated System-Environment States
• On $c=1$ critical phases in anisotropic spin-1 chains
• Geometric measures of quantum correlations: characterization, quantification, and comparison by distances and operations
• Sudden change of quantum discord for a system of two qubits
• Orthogonal measurements are {\it almost} sufficient for quantum discord of two qubits
• Ground state factorization and correlations with broken symmetry
• Identifying the quantum correlations in light-harvesting complexes
• Fidelity of recovery, geometric squashed entanglement, and measurement recoverability
• General monogamy relation of multi-qubit systems in terms of squared Rényi-$\alpha$ entanglement
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• The bilinear-biquadratic spin-1 chain undergoing quadratic Zeeman effect
• Heat flux dynamics in dissipative cascaded systems
• Generation of quantum discord between ionic qubits via noisy processes
• Dense coding with multipartite quantum states
• Unification of different views of decoherence and discord
• Continuous-variable Werner state: separability, nonlocality, squeezing and teleportation
• Limitations to sharing entanglement
• Criteria for measures of quantum correlations
• Disorder-Induced Order in Two-Component Bose-Einstein Condensates
• Single quantum querying of a database
• Optimal Conclusive Discrimination of Two Non-orthogonal Pure Product Multipartite States Locally
• Measurement-induced nonlocality based on the relative entropy
• Quantum correlations as precursors of entanglement
• Time-resolved homodyne characterization of individual quadrature-entangled pulses
• Gaussian geometric discord
• Correlation and nonlocality measures as indicators of quantum phase transitions in several critical systems
• Evolution equation for geometric quantum correlation measures
• Quantum discord and classical correlations in the bond-charge Hubbard model: quantum phase transitions, ODLRO and violation of the monogamy property for discord
• On quantum advantage in dense coding
• Quantum discord and remote state preparation
• Generalized information theoretic measure to discern the quantumness of correlations
• Entropic measures of nonclassical correlations
• Measurement-induced disturbances and nonclassical correlations of Gaussian states
• Entanglement sharing among qudits
• Experimental entanglement activation from discord in a programmable quantum measurement
• Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
• Geometric quantum discord with Bures distance: the qubit case
• Quantum correlations in the collective spin systems
• Experimental analysis of decoherence of quantumness in a continuous variables bi-partite entangled system
• Necessary and sufficient conditions of freezing phenomena of quantum discord under phase damping
• Constructing new optimal entanglement witnesses
• Using Separable Bell-Diagonal States to Distribute Entanglement
• A new type of complementarity between quantum and classical information
• Hidden entanglement, system-environment information flow and non-Markovianity
• Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
• Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
• Self-homodyne tomography of a twin-beam state
• Revivals and entanglement from initially entangled mixed states of a damped Jaynes-Cummings model
• Monogamy of quantum correlations reveals frustration in a quantum Ising spin system: Experimental demonstration
• To freeze or not to: Quantum correlations under local decoherence
• Anisotropic invariance and the distribution of quantum correlations
• All Multiparty Quantum States Can Be Made Monogamous
• Two-spin entanglement distribution near factorized states
• Why the Entanglement of Formation is not generally monogamic
• Quantum correlations in spin models
• Avoiding dissipation in a system of three quantum harmonic oscillators
• A pedagogical overview of quantum discord
• Gaussian localizable entanglement
• Entanglement control via reservoir engineering in ultracold atomic gases
• Experimental multi-location remote state preparation
• Global Quantum discord of multi-qubit states
• Quantum correlation and classical correlation dynamics in the spin-boson model
• Measuring geometric quantum discord using one bit of quantum information
• Fidelity Based Measurement Induced Nonlocality
• Experimental estimation of quantum discord for polarization qubit and the use of fidelity to assess quantum correlations
• Quantum discord in spin-cluster materials
• Entanglement entropy of multipartite pure states
• Asymptotic Discord and Entanglement of Non-Resonant Harmonic Oscillators in an Equilibrium Environment
• Quantum Correlations in non-Markovian Environments
• Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
• Characterization of complex quantum dynamics with a scalable NMR information processor
• All entangled states display some hidden nonlocality
• Quantum discord and non-Markovianity of quantum dynamics
• Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
• Single-experiment-detectable nonclassical correlation witness
• Sudden transition between classical and quantum decoherence in dissipative cavity QED and stationary quantum discord
• Discord and quantum computational resources
• Nonclassical correlations in continuous-variable non-Gaussian Werner states
• Disentanglement dynamics of interacting two qubits and two qutrits in an XY spin-chain environment with the Dzyaloshinsky-Moriya interaction
• Quantum Zeno and anti-Zeno effects on quantum and classical correlations
• Preservation of the geometric quantum discord in noisy environments
• Rényi squashed entanglement, discord, and relative entropy differences
• Characterization of Tripartite Quantum States with Vanishing Monogamy Score
• Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
• Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain
• Random anisotropy disorder in superfluid 3He-A in aerogel
• Disorder-Induced Order in Quantum XY Chains
• A new criteria for zero quantum discord
• Geometric interpretation of the geometric discord
• Geometric Measure of Pairwise Quantum Discord for Superpositions of Multipartite Generalized Coherent States
• Two-step procedure to discriminate discordant from classical correlated or factorized states
• Geometric quantum discord and non-Markovianity of structured reservoirs
• Dissipative dynamics of quantum correlations in the strong-coupling regime
• Necessary and sufficient condition for saturating the upper bound of quantum discord
• Light Cone-Like Behavior of Quantum Monogamy Score and Multisite Entanglement
• Geometric measure of quantum discord for a two-parameter class of states in a qubit-qutrit system under various dissipative channels
• Magnetic Entanglement in Spin-1/2 XX Chains
• Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
• Quantum states with strong positive partial transpose
• Hellinger distance as a measure of Gaussian discord
• Nonclassical correlation in a multipartite quantum system: two measures and evaluation
• Monogamy relation of multi-qubit systems for squared Tsallis-\emph{q} entanglement
• Non-Gaussian quantum discord for Gaussian states
• Disorder overtakes Order in Information Concentration over Quantum Networks
• Entanglement in a Time-Dependent Coupled XY Spin Chain in an External Magnetic Field
• Entanglement Enhances Security in Secret Sharing
• Remote preparation of three-photon entangled states via single-photon measurement
• Quantum discord in the Dynamical Casimir Effect
• Discord and non-classicality in probabilistic theories
• Local probe of single phonon dynamics in warm ion crystals
• Extremal Quantum Correlations: Experimental Study with Two-qubit States
• Cloning the entanglement of a pair of quantum bits
• Rates of asymptotic entanglement transformations for bipartite mixed states: Maximally entangled states are not special
• Evolution of Quantum Discord and its Stability in Two-Qubit NMR Systems
• Distributed super dense coding over noisy channels
• Exclusion Principle for Quantum Dense Coding
• Detecting the quantum discord of an unknown state by a single observable
• Optimal super dense coding over memory channels
• Analytical progress on symmetric geometric discord: Measurement-based upper bounds
• On two-qubit states ordering with quantum discords
• Multipartite Dense Coding vs. Quantum Correlation: Noise Inverts Relative Capability of Information Transfer
• Comparison of non-Markovianity criteria in a qubit system under random external fields
• A Condition for the Nullity of Quantum Discord
• Witnessing nonclassical multipartite states
• Pulse control of sudden transition for two qubits in XY spin baths and quantum phase transition
• Local copying of orthogonal entangled quantum states
• Maximally dense coding capable quantum states
• Discording power of quantum evolutions
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Functional Bell inequalities can serve as a stronger entanglement witness
• Experimental protection and revival of quantum correlation in open solid systems
• Equivalence between Redfield and master equation approaches for a time-dependent quantum system and coherence control
• Experimental characterization of Gaussian quantum discord generated by four-wave mixing
• Can communication power of separable correlations exceed that of entanglement resource?
• Collapse-revival of quantum discord and entanglement
• Quantum discord dynamical behaviors due to initial system-cavity correlations
• Experimental detection of polarization-frequency quantum correlations in a photonic quantum channel by local operations
• Cloning quantum entanglement in arbitrary dimensions
• Comment on "Witnessed entanglement and the geometric measure of quantum discord"
• Thermodynamics of quantum feedback cooling
• Local cloning of Bell states and distillable entanglement
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Dynamics of Gaussian discord between two oscillators interacting with a common environment
• Non-zero total correlation means non-zero quantum correlation
• Measurements, quantum discord and parity in spin 1 systems
• Stability of global entanglement in thermal states of spin chains
• Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
• Analytical expression of Genuine Tripartite Quantum Discord for Symmetrical X-states
• Sudden change of geometric quantum discord in finite temperature reservoirs
• On the quantumness of correlations in nuclear magnetic resonance
• Generalized Entropy and Global Quantum Discord in Multi-party Quantum systems
• Classicality witness for two-qubit states
• Invariant Quantum Discord in Qubit-Qutrit Systems under Local Dephasing
• Discord of response
• Phonon-mediated generation of quantum correlations between quantum dot qubits
• Parallel transport in an entangled ring
• Quantum correlation exists in any non-product state
• Comparison of different measures for quantum discord under non-Markovian noise
• Dual entanglement measures based on no local cloning and no local deleting
• Quantum Correlations Between Identical and Unidentical Atoms in a Dissipative Environment
• Frozen Gaussian quantum discord in photonic crystal cavity array system
• Dynamics of multipartite quantum correlations under decoherence
• Quantum correlations and least disturbing local measurements
• Quantumness of Gaussian Discord: Experimental Evidence and Role of System-Environment Correlations
• Geometric measure of quantum discord over two-sided projective measurements
• Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
• Effect of local filtering on Freezing Phenomena of Quantum Correlation
• The Degree of Quantum Correlation Required to Speed-Up a Computation
• Qutrit geometric discord
• Entanglement and discord in two-mode Gaussian open quantum systems
• Quantification of quantum correlation of ensemble of states
• Quantum Discord Surge Heralds Entanglement Revival in an Infinite Spin Chain
• Quenching Dynamics and Quantum Information
• Benford's Law Detects Quantum Phase Transitions similarly as Earthquakes
• Geometric discord and Measurement-induced nonlocality for well known bound entangled states
• Global quantum discord and quantum phase transition in XY model
• Quantum Correlation with Sandwiched Relative Entropies: Advantageous as Order Parameter in Quantum Phase Transitions
• The One-Way Information Deficit and Geometry for a Class of Two-qubit States
• Remote creation of a one-qubit mixed state through a short homogeneous spin-1/2 chain
• Power of One Bit of Quantum Information in Quantum Metrology
• Progress towards a unified approach to entanglement distribution
• On the pseudospectrum of the harmonic oscillator with imaginary cubic potential
• Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy
• A review on super dense coding over covariant noisy channels
• Decoherence Dynamics of Measurement-Induced Nonlocality and comparison with Geometric Discord for two qubit systems
• Non-ergodic dynamics of the extended anisotropic Heisenberg chain
• Quantum correlations of two-mode Gaussian systems in a thermal environment
• Collapse of the quantum correlation hierarchy links entropic uncertainty to entanglement creation
• Conclusive Identification of Quantum Channels via Monogamy of Quantum Correlations
• Broadcasting of Quantum Correlations: Possibilities & Impossibilities
• Maxwell's Demon and Data Compression
• Limits for entanglement distribution with separable states
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Time-Invariant Discord in Dynamically Decoupled Systems
• Quantum correlations beyond entanglement in a double-cavity opto-mechanical system
• Bound Genuine Multisite Entanglement: Detector of Gapless-Gapped Quantum Transitions in Frustrated Systems
• The one-way unlocalizable quantum discord
• Symmetry aspects of quantum discord
• Geometric global quantum discord of two-qubit X states
• Classical information deficit and monotonicity on local operations
• Experimental Verification of Quantum Discord in Continuous-Variable States
• Unification of quantum and classical correlations and quantumness measures
• Generating and protecting correlated quantum states under collective dephasing
• Thermal Fluctuations Enhance Order-from-Disorder of Quantum Correlations in Quenched Disordered Spin Models
• Enhancement of quantum correlations for the system of cavity QED by applying bang-bang pulses
• Reducing Computational Complexity of Quantum Correlations
• Does Anti-Parallel Spin Always Contain more Information ?
• Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
• A cold-atoms based processor for deterministic quantum computation with one qubit in intractably large Hilbert spaces
• Nonclassicality and criticality in symmetry-protected magnetic phases
• Excessive distribution of quantum entanglement
• Quantum correlations in different density matrix representations of spin-1/2 open chain
• Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties
• Markovian evolution of classical and quantum correlations in transverse-field XY model
• Spontaneous emission and quantum discord: comparison of Hilbert-Schmidt and trace distance discord
• Anomalous decay of quantum correlations of quantum dot qubits
• Entanglement in the 1D extended anisotropic Heisenberg model
• An introduction to quantum discord and non-classical correlations beyond entanglement
• Quantum discord dynamics of two qubits in the single-mode cavities
• Quantum correlations in a noisy neutron interferometer
• The balance of quantum correlations for a class of feasible tripartite continuous variable states
• Bell violation versus geometric measure of quantum discord and their dynamical behavior
• Quantum discord and entanglement in Heisenberg XXZ spin chain after quenches
• Conditions for the freezing phenomena of geometric measure of quantum discord for arbitrary two-qubit X states under non-dissipative dephasing noises
• Classical memoryless noise-induced maximally discordant mixed separable steady states
• Coupling bosonic modes with a qubit: entanglement dynamics at zero and finite-temperatures
• Optimal copying of entangled two-qubit states
• Are there phase transitions in information space?
• Survival of time-evolved correlations depends on whether quenching is across critical point in XY spin chain
• Non-classical correlations in a two-mode optomechanical system
• Geometric measure of quantum discord and total quantum correlations in a N-partite quantum state
• Locally Accessible Information of Multisite Quantum Ensembles Violates Monogamy
• Cumulative quantum work-deficit versus entanglement in the dynamics of an infinite spin chain
• Usefulness of classical communication for local cloning of entangled states
• Measurement-induced nonlocality over two-sided projective measurements
• Nonzero Classical Discord
• Entanglement breaking channels and entanglement sudden death
• A comparison of parallel and anti-parallel two qubit mixed states
• Single-experiment-detectable multipartite entanglement witness for ensemble quantum computing
• Shared Purity of Multipartite Quantum States
• Entangling Power in the Deterministic Quantum Computation with One Qubit
• Generation of a non-zero discord bipartite state with classical second-order interference
• Witnessing the quantum discord of all the unknown states
• Witnessing nonclassical correlations via a single-shot experiment on an ensemble of spins using NMR
• Shielding quantum discord through continuous dynamical decoupling
• Correlation dynamics of a two-qubit system in a Bell-diagonal state under non-identical local noises
• Information complementarity in multipartite quantum states and security in cryptography
• Geometry and topology of CC and CQ states
• Benford's law gives better scale exponents in phase transitions of quantum XY models
• Global quantum correlations in tripartite nonorthogonal states and monogamy properties
• Distribution of Bell inequality violation vs. multiparty quantum correlation measures
• Measurement - induced qudit geometric discord
• Time dynamics of multiparty quantum correlations indicate energy transfer route in light-harvesting complexes
• Dynamical paths and universality in continuous variables open systems
• Determination of the maximum Global Quantum Discord via measurements of excitations in a cavity QED network
• Nonlocal Correlation in Heisenberg Spin Models
• Entanglement distribution and quantum discord
• Geometric discord: A resource for increments of quantum key distribution through twirling
• Reply to "Comment on 'Witnessed entanglement and the geometric measure of quantum discord' "
• Quantum discord and related measures of quantum correlations in XY chains
• Geometric Discord Of the Jaynes-Cummings Model: Pure Dephasing Regime
• Can there be quantum correlations in a mixture of two separable states?
• Tight bounds for the quantum discord
• Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
• A Maxwell demon model connecting information and thermodynamics
• Symmetric geometric measure and dynamics of quantum discord
• Geometric measure of quantum discord and the geometry of a class of two-qubit states
• Ergodicity from Nonergodicity in Quantum Correlations of Low-dimensional Spin Systems
• Experimental characterization of the Gaussian state of squeezed light obtained via single-passage through an atomic vapor
• Various correlations in a Heisenberg XXZ spin chain both in thermal equilibrium and under the intrinsic decoherence
• Operational derivation of Maxwell-Boltzmann distribution with Maxwell's demon model
• Adiabatic freezing of long-range quantum correlations in spin chains
• Comment on ``Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation'' [PRA 64, 062106 (2001)]
• Comment on "Quantum discord through the generalized entropy in bipartite quantum states"
• Local Decoherence-free Macroscopic Quantum states
• Global quantum discord in infinite quantum spin chains
• Statistics of leading digits leads to unification of quantum correlations
• Properties of a geometric measure for quantum discord
• Unified scheme for correlations using linear relative entropy
• Quantum entanglement and quantum discord in dimers in multiple quantum NMR experiments
• Dynamics of quantum correlations for central two-qubit coupled to an isotropic Lipkin-Meshkov-Glick bath
• Multipartite distribution property of one way discord beyond measurement
• Measurement-Induced Nonlocality in an $n$-partite quantum state
• Discord Derived from Tsallis Entropy

Cited by in corpus (131)

• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Enhancement in performance of quantum battery by ordered and disordered interactions
• Fast charging of quantum battery assisted by noise
• Optimal work extraction and thermodynamics of quantum measurements and correlations
• Quantum correlations and thermodynamic performances of two-qubit engines with local and collective baths
• Masking quantum information is impossible
• Witnessing entanglement sequentially: Maximally entangled states are not special
• On the quantum correlations in two-qubit XYZ spin chains with Dzyaloshinsky-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
• A multipartite generalization of quantum discord
• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality
• Probing quantum correlations in many-body systems: a review of scalable methods
• Discord and Decoherence
• Experimental investigation of quantum correlations in a two-qutrit spin system
• Local quantum Fisher information and local quantum uncertainty for general X-states
• Local passivity and entanglement in shared quantum batteries
• Behavior of quantum discord, local quantum uncertainty, and local quantum Fisher information in two-spin-1/2 Heisenberg chain with DM and KSEA interactions
• Partial coherence and quantum correlation with fidelity and affinity distances
• Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model
• General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures
• Enhanced power on small scales and evolution of quantum state of perturbations in single and two field inflationary models
• Comparing quantumness criteria
• Dynamical quantum correlations after sudden quenches
• Redundantly amplified information suppresses quantum correlations in many-body systems
• Quantum correlation entropy
• Local quantum uncertainty for multipartite quantum systems
• Constructive Feedback of Non-Markovianity on Resources in Random Quantum States
• Quantum Reversibility Is Relative, Or Do Quantum Measurements Reset Initial Conditions?
• Practical Verification of Quantum Properties in Quantum Approximate Optimization Runs
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Nonequilibrium Effects on Quantum Correlations: Discord, Mutual Information and Entanglement of a Two-Fermionic System in Bosonic and Fermionic Environments
• Noncompletely Positive Quantum Maps Enable Efficient Local Energy Extraction in Batteries
• Every quantum helps: Operational advantage of quantum resources beyond convexity
• Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems
• Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
• Monogamy of quantum discord
• Entanglement measures of Majorana bound states
• Scale-invariant freezing of entanglement
• How to observe and quantify quantum-discorded states via correlations
• How to observe and quantify quantum-discorded states
• Quantum synchronisation and clustering in chiral networks
• General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases
• The Newcomb-Benford law: Scale invariance and a simple Markov process based on it
• Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories
• Qubit-Qutrit ($2\otimes 3$) quantum systems: An investigation of some quantum correlations under collective dephasing
• Thermal local quantum uncertainty in a two-qubit-superconducting system under decoherence
• Sharma-Mittal Quantum Discord
• All entangled states are quantum coherent with locally distinguishable bases
• Benchmarks of Nonclassicality for Qubit Arrays
• Quantum Wasserstein distance based on an optimization over separable states
• Asymptotically Consistent Measures of General Quantum Resources: Discord, Non-Markovianity, and Non-Gaussianity
• Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
• Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
• Quantifying necessary quantum resources for nonlocality
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
• Interference Resurrection of the $\tau$ Dipole through Quantum Tomography
• A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states
• Quantum scrambling via accessible tripartite information
• Coherence and entanglement in Grover and Harrow-Hassidim-Lloyd algorithm
• Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice
• Preserving quantum correlations and coherence with non-Markovianity
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Distance-based resource quantification for sets of quantum measurements
• Exclusion principle for nonlocal advantage of quantum coherence
• Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems
• Dimensional advantage in secure information trading via the noisy dense coding protocol
• Genuine Multipartite Entanglement in Quantum Optimization
• Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
• Mimicking quantum correlation of a long-range Hamiltonian by finite-range interactions
• Primordial cosmic complexity and effects of reheating
• Quantum steering and quantum discord under noisy channels and entanglement swapping
• Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
• Dynamics of decoherence in a noisy driven environment
• Correlation Minor Norms, Entanglement Detection and Discord
• Continuity of robustness measures in quantum resource theories
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Geometric Quantum Discord Signals Non-Factorization
• Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
• Embedded Quantum Correlations in thermalized quantum Rabi systems
• Preservation and enhancement of quantum correlations under Stark effect
• Phase diagram for the one-way quantum deficit of two-qubit X states
• Role of quantum state texture in probing resource theories and quantum phase transition
• Quantum correlations beyond entanglement in a classical-channel model of gravity
• Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
• Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
• Quantum correlations in general qubit-qudit axially symmetric states
• Nonclassical correlations in subsystems of globally entangled quantum states
• Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
• Quantum Discord Witness With Uncharacterized Devices
• Amplifying quantum discord during inflationary magnetogenesis through violation of parity
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Family of Quantum Mutual Information in Multiparty Quantum Systems
• Measuring multipartite quantum correlations by thermodynamic work extraction
• Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
• Super-quantum discord in ferromagnetic and antiferromagnetic materials
• Necessary and sufficient product criteria for quantum states via the rank of realignment matrix of density matrix
• Quantum correlations for anonymous metrology
• Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
• Landau-type sudden transitions of quantum correlations
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• On the possibility to detect quantum correlation regions with the variable optimal measurement angle
• Invariant entanglement and generation of quantum correlations under global dephasing
• Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Theoretical investigations of quantum correlations in NMR multiple-pulse spin-locking experiments
• Gaussian multipartite quantum discord from classical mutual information
• Emergence of Monogamy under Static and Dynamic Scenarios
• Protecting three-dimensional entanglement from correlated amplitude damping channel
• Recovery of resources through sequential noisy measurements
• Quantitative bounds to propagation of quantum correlations in many-body systems
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Coherence measure of ensembles with nonlocality without entanglement
• Three Party Quantum Networks Created by Quantum Cloning
• Dynamics of local quantum uncertainty among cavity-reservoir qubits
• Distributing entanglement with separable states: assessment of encoding and decoding imperfections
• Conditional states and entropy in qudit-qubit systems
• Geometric measures of discordlike quantum correlations based on Tsallis relative entropy
• Bimodal behavior of post-measured entropy and one-way quantum deficit for two-qubit X states
• State transfer with separable optical beams and variational quantum algorithms with classical light
• Entropy Production and the Role of Correlations in Quantum Brownian Motion
• Analysis of quantum correlations within the ground state of a three level Lipkin model
• Quantum Fibrations: quantum computation on an arbitrary topological space
• Quantum statistical effect induced through conditioned post-processing procedures with unitary $t$-designs
• Hierarchies among genuine multipartite entangling capabilities of quantum gates
• Generation of phonon quantum states and quantum correlations among single photon emitters in hexagonal boron nitride
• Imperfect Entangling Power of Quantum Gates
• Coherence and Entanglement in a Non-commutative Spacetime
• Classical State Detection Using Quantum State Tomography
• Nonequilibrium phases and quantum correlations in synthetic transport models
• Quantum correlations in composite systems under global unitary operations