Monogamy of quantum correlations - a review
arXiv:1610.01069 · doi:10.1007/978-3-319-53412-1
Abstract
Monogamy is an intrinsic feature of quantum correlations that gives rise to several interesting quantum characteristics which are not amenable to classical explanations. The monogamy property imposes physical restrictions on unconditional sharability of quantum correlations between the different parts of a multipartite quantum system, and thus has a direct bearing on the cooperative properties of states of multiparty systems, including large many-body systems. On the contrary, a certain party can be maximally classical correlated with an arbitrary number of parties in a multiparty system. In recent years, the monogamy property of quantum correlations has been applied to understand several key aspects of quantum physics, including distribution of quantum resources, security in quantum communication, critical phenomena, and quantum biology. In this chapter, we look at some of the salient developments and applications in quantum physics that have been closely associated with the monogamy of quantum discord, and "discord-like" quantum correlation measures.
21 pages, 6 figures
References in corpus (37)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Necessary and sufficient condition for non-zero quantum discord
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
- On the quantum, classical and total amount of correlations in a quantum state
- A complete family of separability criteria
- Concurrence of arbitrary dimensional bipartite quantum states
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
- Conservation law for distributed entanglement of formation and quantum discord
- Monogamy inequality for distributed Gaussian entanglement
- Entanglement monogamy relations of qubit systems
- All Maximally Entangled Four Qubits States
- Deterministic Entanglement of Assistance and Monogamy Constraints
- Quantum steering ellipsoids, extremal physical states and monogamy
- Witnessed entanglement and the geometric measure of quantum discord
- Concurrence and a proper monogamy inequality for arbitrary quantum states
- Entanglement Monogamy of Tripartite Quantum States
- Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case
- Tight lower bound on geometric discord of bipartite states
- A simple proof of monogamy of entanglement
- Generalized information theoretic measure to discern the quantumness of correlations
- Quantum correlations and synchronization measures
- The No-Broadcasting Theorem and its Classical Counterpart
- Monogamy of Quantum Discord by Multipartite Correlations
- Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
- Regional versus Global Entanglement in Resonating-Valence-Bond states
- Genuine multipartite entanglement of symmmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure
- Multipartite monogamy of the concurrence
- Multipartite Dense Coding vs. Quantum Correlation: Noise Inverts Relative Capability of Information Transfer
- Overview on the phenomenon of two-qubit entanglement revivals in classical environments
- Maximally dense coding capable quantum states
- Time dynamics of multiparty quantum correlations indicate energy transfer route in light-harvesting complexes
- How does interference fall?
- Reply to "Comment on 'Witnessed entanglement and the geometric measure of quantum discord' "
- The sudden change phenomenon of quantum discord
- Quantum Correlations in NMR systems
Cited by in corpus (94)
- Quantum Resource Theories
- Boundary time crystals
- Fast charging of quantum battery assisted by noise
- Optimal work extraction and thermodynamics of quantum measurements and correlations
- Synchronizing the Smallest Possible System
- Quantum Synchronisation Enabled by Dynamical Symmetries and Dissipation
- Witnessing entanglement sequentially: Maximally entangled states are not special
- Statistical speed of quantum states: Generalized quantum Fisher information and Schatten speed
- Quantum synchronization in dimer atomic lattices
- On the quantum correlations in two-qubit XYZ spin chains with Dzyaloshinsky-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions
- Equivalence Principle for Quantum Systems: Dephasing and Phase Shift of Free-Falling Particles
- Multipartite Entanglement Measure and Complete Monogamy Relation
- Driven-Dissipative Quantum Dynamics in Ultra Long-lived Dipoles in an Optical Cavity
- Robust in Practice: Adversarial Attacks on Quantum Machine Learning
- Validity of Landauer principle and quantum memory effects via collision models
- Monogamy of the Entanglement of Formation
- Mutual coupling and synchronization of optically coupled quantum-dot micropillar lasers at ultra-low light levels
- Quantum synchronization of few-body systems under collective dissipation
- Quantum correlations in separable multi-mode states and in classically entangled light
- Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
- Wave packet approach to quantum correlations in neutrino oscillations
- Synchronization and Non-Markovianity in open quantum systems
- Behavior of quantum discord, local quantum uncertainty, and local quantum Fisher information in two-spin-1/2 Heisenberg chain with DM and KSEA interactions
- Observation of quantum phase-synchronization in a nuclear spin-system
- Minimal model for spontaneous quantum synchronization
- Dynamics of Many-Body Quantum Synchronisation
- Transient Synchronisation and Quantum Coherence in a Bio-Inspired Vibronic Dimer
- Distribution of entanglement and correlations in all finite dimensions
- Generalized trace distance approach to quantum non-Markovianity and detection of initial correlations
- Redundantly amplified information suppresses quantum correlations in many-body systems
- Exponentially many entanglement and correlation constraints for multipartite quantum states
- Synchronisation phase as an indicator of persistent quantum correlations between subsystems
- Synchronization and coalescence in a dissipative two-qubit system
- Quantum non-stationary phenomena of spin systems in collision models
- Constructive Feedback of Non-Markovianity on Resources in Random Quantum States
- Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
- Symmetries and Synchronization Blockade
- Cooperation and Competition in Synchronous Open Quantum Systems
- Quantum Correlation Dynamics in Controlled Two-Coupled-Qubit Systems
- Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
- Device-Independent Quantum Secure Direct Communication Under Non-Markovian Quantum Channels
- Multiparameter estimation, lower bound on quantum Fisher information and non-Markovianity witnesses of noisy two-qubit systems
- A unified approach to Local Quantum Uncertainty and Interferometric Power by Metric Adjusted Skew Information
- Affinity-based measurement-induced nonlocality and its robustness against noise
- Effective description of the short-time dynamics in open quantum systems
- Strict entanglement monotonicity under local operations and classical communication
- Multipartite entanglement, quantum coherence, and quantum criticality in triangular and Sierpiński fractal lattices
- Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States
- Complete monogamy of the multipartite quantum mutual information
- Diagonal quantum discord
- Faithful geometric measures for genuine tripartite entanglement
- Observation of interaction induced blockade and local spin freezing in a NMR quantum simulator
- Temperature-field phase diagrams of one-way quantum work deficit in two-qubit XXZ spin systems
- Weak measurement effect on optimal estimation with lower and upper bound on relativistic metrology
- Exclusion principle for nonlocal advantage of quantum coherence
- Optimal unilocal virtual quantum broadcasting
- Predicting the Onset of Quantum Synchronization Using Machine Learning
- Entangled States are Harder to Transfer than Product States
- Geometric Phase in Quantum Synchronization
- Complete Genuine Multipartite Entanglement Monotone
- Approximate broadcasting of quantum correlations
- Classical Simulation of Arbitrary Quantum Noise
- Refrigeration via purification through repeated measurements
- Instantaneous phase synchronization of two decoupled quantum limit-cycle oscillators induced by conditional photon detection
- Superiority in dense coding through non-Markovian stochasticity
- A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
- Geometric monotones of violations of quantum realism
- Memory effects in high-dimensional systems faithfully identified by Hilbert-Schmidt speed-based witness
- Preservation and enhancement of quantum correlations under Stark effect
- Phase diagram for the one-way quantum deficit of two-qubit X states
- Asymmetric One-Sided Semi-Device-Independent Steerability of Quantum Discordant States
- Entanglement partners and monogamy in de Sitter universes
- Relationship between the field local quadrature and the quantum discord of a photon-added correlated channel under the influence of scattering and phase fluctuation noise
- Quantum synchronization in an all-optical stroboscopic quantum simulator
- Transient Dynamics and Homogenization in Incoherent Collision Models
- Restrictions on shareability of classical correlations for random multipartite quantum states
- On the possibility to detect quantum correlation regions with the variable optimal measurement angle
- Virtual excitations and entanglement dynamics and polygamy in three ultra-strongly coupled systems
- Refined Tsirelson Bounds on Multipartite Bell Inequalities
- Generating quantum dissonance via local operations
- Conditional states and entropy in qudit-qubit systems
- Optimized dynamical protection of nonclassical correlation in a quantum algorithm
- Quantum synchronization of qubits via dynamical Casimir effect
- Revealing correlations between a system and an inaccessible environment
- Characterising two-sided quantum correlations beyond entanglement via metric-adjusted f-correlations
- Axiomatic approach to measures of total correlations
- Quantum correlations and coherence in a two-qubit anisotropic under magnetic field
- Quantum Monogamy with Predetermined Events
- Generalized uncertainty relation between thermodynamic variables in quantum thermodynamics
- Dynamics of quantum discord of two coupled spin-1/2 subjected to time-dependent magnetic fields
- Time evolution of quantum correlations in presence of state dependent bath
- Tomographic entanglement indicators from NMR experiments
- Shareability of Quantum Correlations in a Many-Body Spin System with Two- and Three-Body Interactions
- Protecting quantum resources via frequency modulation of qubits in leaky cavities