Quantum discord and its allies: a review
arXiv:1703.10542 · doi:10.1088/1361-6633/aa872f
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
References in corpus (176)
- Many-Body Physics with Ultracold Gases
- Entanglement detection
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Device-independent security of quantum cryptography against collective attacks
- Finite-Time Disentanglement via Spontaneous Emission
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Quantum computing with trapped ions
- Sudden Death of Entanglement
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Experimental quantum computing without entanglement
- Environment-Assisted Quantum Transport
- Entanglement in continuous variable systems: Recent advances and current perspectives
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Quantum Open System Theory: Bipartite Aspects
- On the quantum, classical and total amount of correlations in a quantum state
- Device-independent quantum key distribution secure against collective attacks
- Robustness of quantum discord to sudden death
- Observable measure of quantum coherence in finite dimensional systems
- Quantum information can be negative
- Classical and quantum correlations under decoherence
- Universal adiabatic dynamics across a quantum critical point
- Entanglement versus Correlations in Spin Systems
- Quantum information transfer using photons
- No-local-broadcasting theorem for quantum correlations
- Quantum discord and quantum phase transition in spin chains
- Non-standard Hubbard models in optical lattices: a review
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- 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
- Vanishing quantum discord is necessary and sufficient for completely positive maps
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- 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
- 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
- All non-classical correlations can be activated into distillable entanglement
- Operational Significance of Discord Consumption: Theory and Experiment
- Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
- Completely Positive Maps and Classical Correlations
- 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
- Decoherence induced by interacting quantum spin baths
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- 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
- Conservation law for distributed entanglement of formation and quantum discord
- Quantum cost for sending entanglement
- Optimal measurements to access classical correlations of two-qubit states
- Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
- Superconducting Qubits: A Short Review
- Monogamy inequality for distributed Gaussian entanglement
- 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
- Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation
- Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
- Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
- Universal quantum computation with little entanglement
- Quantum discord and local demons
- On entropy growth and the hardness of simulating time evolution
- Entanglement invariant for the double Jaynes-Cummings model
- Quantum correlated heat engine with nonlinear spin-spin interactions
- Experimentally Witnessing the Quantumness of Correlations
- Maximally discordant mixed states of two qubits
- Quantum Information Processing in Optical Lattices and Magnetic Microtraps
- Remote Preparation of a Qudit Using Maximally Entangled States of Qubits
- All entangled pure states violate a single Bell's inequality
- Universal freezing of quantum correlations within the geometric approach
- Witnessed entanglement and the geometric measure of quantum discord
- Order from Disorder in Graphene Quantum Hall Ferromagnet
- Frozen discord in non-Markovian dephasing channels
- Measuring bipartite quantum correlations of an unknown state
- 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
- Global quantum correlations in finite-size spin chains
- Quantum coherence and sensitivity of avian magnetoreception
- Quantum resources for hybrid communication via qubit-oscillator states
- Vanishing quantum discord is not necessary for completely-positive maps
- Quantum correlations and distinguishability of quantum states
- Homodyne estimation of Gaussian quantum discord
- Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
- Quantum-correlating power of local quantum channels
- The volume of separable states is super-doubly-exponentially small
- Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
- Quantum Discord and its Role in Quantum Information Theory
- Experimental Investigation of the Evolution of Gaussian Quantum Discord in an Open System
- Time-evolution of tripartite quantum discord and entanglement under local and non-local random telegraph noise
- Entanglement dynamics in superconducting qubits affected by local bistable impurities
- Tight lower bound on geometric discord of bipartite states
- Entanglement and discord: accelerated observations of local and global modes
- On critical phases in anisotropic spin-1 chains
- Heat flux dynamics in dissipative cascaded systems
- Disorder-Induced Order in Two-Component Bose-Einstein Condensates
- Generalized information theoretic measure to discern the quantumness of correlations
- Experimental analysis of decoherence of quantumness in a continuous variables bi-partite entangled system
- Using Separable Bell-Diagonal States to Distribute Entanglement
- Anisotropic invariance and the distribution of quantum correlations
- Two-spin entanglement distribution near factorized states
- Entanglement control via reservoir engineering in ultracold atomic gases
- Gaussian localizable entanglement
- Global Quantum discord of multi-qubit states
- Fidelity Based Measurement Induced Nonlocality
- 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
- Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
- Quantum Correlations in non-Markovian Environments
- Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
- Geometric interpretation of the geometric discord
- Two-step procedure to discriminate discordant from classical correlated or factorized states
- Quantum states with strong positive partial transpose
- Dissipative dynamics of quantum correlations in the strong-coupling regime
- Geometric measure of quantum discord for a two-parameter class of states in a qubit-qutrit system under various dissipative channels
- Hellinger distance as a measure of Gaussian discord
- Nonclassical correlation in a multipartite quantum system: two measures and evaluation
- Entanglement in a Time-Dependent Coupled XY Spin Chain in an External Magnetic Field
- Quantum discord in the Dynamical Casimir Effect
- Entanglement Enhances Security in Secret Sharing
- Evolution of Quantum Discord and its Stability in Two-Qubit NMR Systems
- Distributed super dense coding over noisy channels
- Analytical progress on symmetric geometric discord: Measurement-based upper bounds
- A Condition for the Nullity of Quantum Discord
- Multipartite Dense Coding vs. Quantum Correlation: Noise Inverts Relative Capability of Information Transfer
- Discording power of quantum evolutions
- Maximally dense coding capable quantum states
- Collapse-revival of quantum discord and entanglement
- Cloning quantum entanglement in arbitrary dimensions
- Sudden change of geometric quantum discord in finite temperature reservoirs
- Dynamics of Gaussian discord between two oscillators interacting with a common environment
- Analytical expression of Genuine Tripartite Quantum Discord for Symmetrical X-states
- Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
- On the quantumness of correlations in nuclear magnetic resonance
- Invariant Quantum Discord in Qubit-Qutrit Systems under Local Dephasing
- Quantum correlation exists in any non-product state
- Quantum Correlations Between Identical and Unidentical Atoms in a Dissipative Environment
- Quantumness of Gaussian Discord: Experimental Evidence and Role of System-Environment Correlations
- Remote creation of a one-qubit mixed state through a short homogeneous spin-1/2 chain
- Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy
- Bound Genuine Multisite Entanglement: Detector of Gapless-Gapped Quantum Transitions in Frustrated Systems
- Nonclassicality and criticality in symmetry-protected magnetic phases
- Enhancement of quantum correlations for the system of cavity QED by applying bang-bang pulses
- Spontaneous emission and quantum discord: comparison of Hilbert-Schmidt and trace distance discord
- An introduction to quantum discord and non-classical correlations beyond entanglement
- Bell violation versus geometric measure of quantum discord and their dynamical behavior
- Classical memoryless noise-induced maximally discordant mixed separable steady states
- Quantum discord and entanglement in Heisenberg XXZ spin chain after quenches
- Non-classical correlations in a two-mode optomechanical system
- Witnessing the quantum discord of all the unknown states
- Witnessing nonclassical correlations via a single-shot experiment on an ensemble of spins using NMR
- Generation of a non-zero discord bipartite state with classical second-order interference
- Shielding quantum discord through continuous dynamical decoupling
- Time dynamics of multiparty quantum correlations indicate energy transfer route in light-harvesting complexes
- Global quantum correlations in tripartite nonorthogonal states and monogamy properties
- Benford's law gives better scale exponents in phase transitions of quantum XY models
- Reply to "Comment on 'Witnessed entanglement and the geometric measure of quantum discord' "
- Tight bounds for the quantum discord
- Geometric Discord Of the Jaynes-Cummings Model: Pure Dephasing Regime
- Symmetric geometric measure and dynamics of quantum discord
- Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
- Experimental characterization of the Gaussian state of squeezed light obtained via single-passage through an atomic vapor
- 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"
- Properties of a geometric measure for quantum discord
- Unified scheme for correlations using linear relative entropy
- Global quantum discord in infinite quantum spin chains
- Discord Derived from Tsallis Entropy
- Quantum entanglement and quantum discord in dimers in multiple quantum NMR experiments
Cited by in corpus (129)
- 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
- 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 passivity and entanglement in shared quantum batteries
- Local quantum Fisher information and local quantum uncertainty for general X-states
- 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
- Comparing quantumness criteria
- Enhanced power on small scales and evolution of quantum state of perturbations in single and two field inflationary models
- 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
- 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
- Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
- Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
- Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems
- Every quantum helps: Operational advantage of quantum resources beyond convexity
- Monogamy of quantum discord
- Entanglement measures of Majorana bound states
- How to observe and quantify quantum-discorded states
- How to observe and quantify quantum-discorded states via correlations
- Quantum synchronisation and clustering in chiral networks
- General quantum correlation from nonreal values of Kirkwood-Dirac quasiprobability over orthonormal product bases
- Sharma-Mittal Quantum Discord
- Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories
- Qubit-Qutrit () quantum systems: An investigation of some quantum correlations under collective dephasing
- Thermal local quantum uncertainty in a two-qubit-superconducting system under decoherence
- The Newcomb-Benford law: Scale invariance and a simple Markov process based on it
- All entangled states are quantum coherent with locally distinguishable bases
- Quantum Wasserstein distance based on an optimization over separable states
- Benchmarks of Nonclassicality for Qubit Arrays
- Asymptotically Consistent Measures of General Quantum Resources: Discord, Non-Markovianity, and Non-Gaussianity
- Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems
- Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
- Quantum scrambling via accessible tripartite information
- Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
- Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
- Quantifying necessary quantum resources for nonlocality
- Coherence and entanglement in Grover and Harrow-Hassidim-Lloyd algorithm
- A comparative study of LQU and LQFI in general qubit-qutrit axially symmetric states
- Interference Resurrection of the Dipole through Quantum Tomography
- Preserving quantum correlations and coherence with non-Markovianity
- Entanglement and quantum correlations in the XX spin- honeycomb lattice
- Exclusion principle for nonlocal advantage of quantum coherence
- Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems
- Distance-based resource quantification for sets of quantum measurements
- Genuine Multipartite Entanglement in Quantum Optimization
- Dimensional advantage in secure information trading via the noisy dense coding protocol
- 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
- Toward a quantum computing algorithm to quantify classical and quantum correlation of system states
- Quantum steering and quantum discord under noisy channels and entanglement swapping
- Primordial cosmic complexity and effects of reheating
- Correlation Minor Norms, Entanglement Detection and Discord
- Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
- Geometric Quantum Discord Signals Non-Factorization
- Dynamics of decoherence in a noisy driven environment
- Continuity of robustness measures in quantum resource theories
- Nearly Markovian maps and entanglement-based bound on corresponding non-Markovianity
- Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
- Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
- Phase diagram for the one-way quantum deficit of two-qubit X states
- Preservation and enhancement of quantum correlations under Stark effect
- Quantum correlations beyond entanglement in a classical-channel model of gravity
- Role of quantum state texture in probing resource theories and quantum phase transition
- Embedded Quantum Correlations in thermalized quantum Rabi systems
- Advancing Quantum Otto Engine Performance via Additional Magnetic Field and Effective Negative Temperature
- Necessary and sufficient product criteria for quantum states via the rank of realignment matrix of density matrix
- Measuring multipartite quantum correlations by thermodynamic work extraction
- Family of Quantum Mutual Information in Multiparty Quantum Systems
- Quantum correlations in general qubit-qudit axially symmetric states
- Amplifying quantum discord during inflationary magnetogenesis through violation of parity
- Quantum Discord Witness With Uncharacterized Devices
- Estimating phase transition of perturbed J1-J2 Heisenberg quantum chain in mixtures of ground and first excited states
- Nonclassical correlations in subsystems of globally entangled quantum states
- Restrictions on shareability of classical correlations for random multipartite quantum states
- Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
- Super-quantum discord in ferromagnetic and antiferromagnetic materials
- Quantum correlations for anonymous metrology
- Entanglement of weighted graphs uncovers transitions in variable-range interacting models
- Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
- Landau-type sudden transitions of quantum correlations
- Invariant entanglement and generation of quantum correlations under global dephasing
- On the possibility to detect quantum correlation regions with the variable optimal measurement angle
- Theoretical investigations of quantum correlations in NMR multiple-pulse spin-locking experiments
- Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
- Gaussian multipartite quantum discord from classical mutual information
- Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
- Three Party Quantum Networks Created by Quantum Cloning
- Coherence measure of ensembles with nonlocality without entanglement
- Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
- Conditional states and entropy in qudit-qubit systems
- Quantitative bounds to propagation of quantum correlations in many-body systems
- Recovery of resources through sequential noisy measurements
- Protecting three-dimensional entanglement from correlated amplitude damping channel
- Dynamics of local quantum uncertainty among cavity-reservoir qubits
- Distributing entanglement with separable states: assessment of encoding and decoding imperfections
- Emergence of Monogamy under Static and Dynamic Scenarios
- Analysis of quantum correlations within the ground state of a three level Lipkin model
- Nonequilibrium phases and quantum correlations in synthetic transport models
- Imperfect Entangling Power of Quantum Gates
- State transfer with separable optical beams and variational quantum algorithms with classical light
- Quantum correlations in composite systems under global unitary operations
- Entropy Production and the Role of Correlations in Quantum Brownian Motion
- Hierarchies among genuine multipartite entangling capabilities of quantum gates
- Quantum statistical effect induced through conditioned post-processing procedures with unitary -designs
- Coherence and Entanglement in a Non-commutative Spacetime
- Quantum Fibrations: quantum computation on an arbitrary topological space
- Bimodal behavior of post-measured entropy and one-way quantum deficit for two-qubit X states
- Classical State Detection Using Quantum State Tomography
- Generation of phonon quantum states and quantum correlations among single photon emitters in hexagonal boron nitride
- Geometric measures of discordlike quantum correlations based on Tsallis relative entropy