Entanglement versus Correlations in Spin Systems

Abstract

We consider pure quantum states of $N\gg 1$ spins or qubits and study the average entanglement that can be \emph{localized} between two separated spins by performing local measurements on the other individual spins. We show that all classical correlation functions provide lower bounds to this \emph{localizable entanglement}, which follows from the observation that classical correlations can always be increased by doing appropriate local measurements on the other qubits. We analyze the localizable entanglement in familiar spin systems and illustrate the results on the hand of the Ising spin model, in which we observe characteristic features for a quantum phase transition such as a diverging entanglement length.

4 pages

References in corpus (10)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement in quantum critical phenomena
• Persistent entanglement in arrays of interacting particles
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Entangled Rings
• Quantum Entanglement of Identical Particles
• Fermionic entanglement in itinerant systems
• A Quantum to Classical Phase Transition in Noisy Quantum Computers

Cited by in corpus (312)

• Quantum entanglement
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Multi-party entanglement in graph states
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Quantum entanglement in condensed matter systems
• Preparation of Entangled States by Quantum Markov Processes
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Area laws in quantum systems: mutual information and correlations
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Quantum magnonics: when magnon spintronics meets quantum information science
• DMRG and periodic boundary conditions: a quantum information perspective
• Quantum information can be negative
• Quantum Phase Transitions and Bipartite Entanglement
• Deterministic Generation of a Cluster State of Entangled Photons
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Measuring multipartite entanglement via dynamic susceptibilities
• New Trends in Density Matrix Renormalization
• Tunable Non-local Spin Control in a Coupled Quantum Dot System
• Entanglement Entropy dynamics in Heisenberg chains
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Quantum state merging and negative information
• Ground state entanglement and geometric entropy in the Kitaev's model
• Entanglement Percolation in Quantum Networks
• Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model
• Assisted distillation of quantum coherence
• Localizable Entanglement
• Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
• Quantifying Entanglement with Witness Operators
• Multipartite entanglement in spin chains
• Universal resources for measurement-based quantum computation
• Quantum coherence and uncertainty in the anisotropic XY chain
• Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
• Quantum discord and its allies: a review
• Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
• Long-range quantum entanglement in noisy cluster states
• Quantifying entanglement resources
• Entanglement Witnesses in Spin Models
• Quantum discord bounds the amount of distributed entanglement
• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Long-distance entanglement in spin systems
• Quantum state transfer via the ferromagnetic chain in a spatially modulated field
• Entanglement of assistance and multipartite state distillation
• Studying quantum spin systems through entanglement estimators
• Dzyaloshinskii-Moriya Interaction and Anisotropy effects on the Entanglement of Heisenberg Model
• Spatial structures and localization of vacuum entanglement in the linear harmonic chain
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Entanglement and Quantum Phase Transition Revisited
• Information-capacity description of spin-chain correlations
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Experimental on-demand recovery of entanglement by local operations within non-Markovian dynamics
• Long-distance entanglement and quantum teleportation in XX spin chains
• Local unitary equivalence of multipartite pure states
• Unitarily localizable entanglement of Gaussian states
• Optimal Controlled Teleportation
• Scaling Behavior of Entanglement in Two- and Three-Dimensional Free Fermions
• Entanglement in spin chains and lattices with long-range Ising-type interactions
• The renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
• Multipartite entanglement in topological quantum phases
• Recovering Entanglement by Local Operations
• Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
• Fine-grained entanglement loss along renormalization group flows
• Quantum Teleportation with Continuous Variables: a survey
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Emergent quantum state designs from individual many-body wavefunctions
• Spin-Orbital Entanglement and Violation of the Goodenough-Kanamori Rules
• Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
• Genuine Multipartite Entanglement in Quantum Phase Transitions
• Renormalization of concurrence: the application of quantum renormalization group to the quantum information systems
• Measure of multipartite entanglement with computable lower bounds
• Fundamentals of universality in one-way quantum computation
• Local unitary equivalence and entanglement of multipartite pure states
• An operational interpretation for multipartite entanglement
• Floquet dynamical phase transition and entanglement spectrum
• Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
• Entanglement Across a Transition to Quantum Chaos
• Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
• Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields
• Multipartite Entanglement and Global Information
• Multipartite entanglement in quantum spin chains
• Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
• Symmetry protected topological order at nonzero temperature
• Operational multipartite entanglement measures
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Multipartite Entanglement at Finite Temperature
• Valence Bond Entanglement Entropy
• Nonlocality in many-body quantum systems detected with two-body correlators
• Quantum state transfer in imperfect artificial spin networks
• A flying Schrödinger cat in multipartite entangled states
• Quantum gases in trimerized kagomé lattices
• Analytic Relations between Localizable Entanglement and String Correlations in Spin Systems
• Probability density function characterization of multipartite entanglement
• Thermal entanglement properties of small spin clusters
• Effective three-body interactions in triangular optical lattices
• Entangled phonons in atomic Bose-Einstein condensates
• Long-distance entanglement in many-body atomic and optical systems
• Energy and multipartite entanglement in multidimensional and frustrated spin models
• Single-site- and single-atom-resolved measurement of correlation functions
• Entanglement flow in multipartite systems
• Local Entanglement and quantum phase transition in spin models
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Quantum spin correlations in an organometallic alternating sign chain
• BCS-like Modewise Entanglement of Fermion Gaussian States
• Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication
• Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
• Entanglement induced in spin-1/2 particles by a spin chain near its critical points
• Two-spin entanglement distribution near factorized states
• Geometric phase of an atom in a magnetic storage ring
• Gaussian localizable entanglement
• XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
• Macroscopic entanglement of many-magnon states
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Bound of Entanglement of Assistance and Monogamy Constraints
• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Mixed State Entanglement of Assistance and the Generalized Concurrence
• Quantum simulation of interacting high-dimensional systems: the influence of noise
• Entanglement and Quantum Phases in the Anisotropic Ferromagnetic Heisenberg Chain in the Presence of Domain Walls
• Engineering correlation and entanglement dynamics in spin systems
• Entanglement in spin-one Heisenberg chains
• Reading entanglement in terms of spin configurations in quantum magnets
• Post measurement bipartite entanglement entropy in conformal field theories
• Entanglement entropy after a partial projective measurement in $1+1$ dimensional conformal field theories: exact results
• Entanglement in SU(2)-invariant quantum systems: The positive partial transpose criterion and others
• Optimal Controlled teleportation via several kinds of three-qubit states
• Entanglement of electron spins in superconductors
• Concurrence in the two dimensional XXZ- and transverse field Ising-models
• Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain
• Finite-time teleportation phase transition in random quantum circuits
• Characterizing entanglement by momentum-jump in the frustrated Heisenberg ring at quantum phase transition
• XX model on the circle
• Quantum control of spin-correlations in ultracold lattice gases
• Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states
• Long-range multipartite entanglement close to a first order quantum phase transition
• Spin frustration and fermionic entanglement in an exactly solved hybrid diamond chain with the localized Ising spins and mobile electrons
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Subarea law of entanglement in nodal fermionic systems
• Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law
• Superballistic Diffusion of Entanglement in Disordered Spin Chains
• Symmetry-Protected Topological Entanglement
• Entanglement properties in (1/2,1) mixed-spin Heisenberg systems
• Interplay between quantum phase transitions and the behavior of quantum correlations at finite temperatures
• Transport of Entanglement Through a Heisenberg-XY Spin Chain
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Ultracold atomic Bose and Fermi spinor gases in optical lattices
• Entanglement, coherence, and redistribution of quantum resources in double spontaneous downconversion processes
• Complete set of operational measures for the characterization of 3-qubit entanglement
• Quantum entanglement in states generated by bilocal group algebras
• Detection of multipartite entanglement with two-body correlations
• Design and Experimental Performance of Local Entanglement Witness Operators
• Information-Theoretic Measure of Genuine Multi-Qubit Entanglement
• Variance squeezing and entanglement of the XX central spin model
• Robust tripartite-to-bipartite entanglement localization by weak measurements and reversal
• Mutual information and spontaneous symmetry breaking
• Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
• A monomial matrix formalism to describe quantum many-body states
• General theory of environment-assisted entanglement distillation
• Quantum computational advantage with string order parameters of 1D symmetry-protected topological order
• Entanglement of an impurity and conduction spins in the Kondo model
• Strongly entangled light from planar microcavities
• Matrix product states and exactly solvable spin 1/2 Heisenberg chains with nearest neighbor interactions
• Reconstructing Quantum Geometry from Quantum Information: Area Renormalisation, Coarse-Graining and Entanglement on Spin Networks
• Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
• Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge c=m/2
• Entanglement and local extremes at an infinite-order quantum phase transition
• Superposition of macroscopically distinct states means large multipartite entanglement
• Entanglement and SU(n) symmetry in one-dimensional valence bond solid states
• Entanglement and magnetic order
• When finite-size corrections vanish: The S=1/2 XXZ model and the Razumov-Stroganov state
• Two-spin entanglement induced by electron scattering in nanostructures
• Optical spin-1 chain and its use as a quantum computational wire
• Entanglement of Collaboration
• Understanding quantum entanglement by thermo field dynamics
• Entanglement and dephasing of quantum dissipative systems
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Quantum Critical Universality and Singular Corner Entanglement Entropy of Bilayer Heisenberg-Ising model
• Entanglement as a quantum order parameter
• Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
• Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
• Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
• Quantum communication via a continuously monitored dual spin chain
• Estimating localizable entanglement from witnesses
• Entanglement and quantum phase transition in quantum mixed spin chains
• Progress towards a unified approach to entanglement distribution
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• Entanglement entropy after selective measurements in quantum chains
• Effects of anisotropy on optimal dense coding
• Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions
• Melting of the critical behavior of a Tomonaga-Luttinger liquid under dephasing
• Noise effects on purity and quantum entanglement in terms of physical implementability
• Assisted concentration of Gaussian resources
• Direct versus measurement assisted bipartite entanglement in multi-qubit systems and their dynamical generation in spin systems
• Entanglement at the boundary of spin chains near a quantum critical point and in systems with boundary critical points
• Quantum Critical Point and Entanglement in a Matrix Product Ground State
• Swapping and permutation operators as entanglement witnesses for quantum Heisenberg spin-$s$ systems
• Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
• Quantum information and triangular optical lattices
• Dimerized ground states in spin-S frustrated systems
• Dynamics of Atom-Atom Correlations in the Fermi problem
• Many body physics from a quantum information perspective
• Inaccessible entanglement in symmetry protected topological phases
• Entanglement in pure and thermal cluster states
• Two-Point Entanglement Near a Quantum Phase Transition
• Genuine multipartite entanglement in a one-dimensional Bose-Hubbard model with frustrated hopping
• Deterministic generation of a 20-qubit two-dimensional photonic cluster state
• Characterizing and measuring multipartite Entanglement
• Control of a nonlocal entanglement in the micromaser via two quanta non-linear processes induced by dynamic Stark shift
• Multipartite entanglement and quantum Fisher information in conformal field theories
• Universal structure of measurement-induced information in many-body ground states
• The source and accessible entanglement of few-body systems
• Entanglement localization after a coupling to incoherent noisy system
• Multipartite entanglement characterization of a quantum phase transition
• Entanglement-Entropy for Groundstates, Low-lying and Highly Excited Eigenstates of General (Lattice) Hamiltonians
• Separability for lattice systems at high temperature
• From the open Heisenberg model to the Landau-Lifshitz equation
• Evolution equation for entanglement of assistance
• Enhancing robustness of multiparty quantum correlations using weak measurement
• Randomized measurement protocols for lattice gauge theories
• Numerical estimation of critical parameters using the Bond entropy
• Entanglement in spin-1/2 dimerized Heisenberg systems
• Nonlocal growth of quantum conditional mutual information under decoherence
• Some aspects of Affleck-Kennedy-Lieb-Tasaki models: tensor network, physical properties, spectral gap, deformation, and quantum computation
• Unravelling Quantum Dot Array Simulators via Singlet-Triplet Measurements
• Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices
• Partial entropy in finite-temperature phase transitions
• Fermionized photons in the ground state of one-dimensional coupled cavities
• Matrix Product States with long-range Localizable Entanglement
• 2D Multipartite Valence Bond States in Quantum Antiferromagnets
• W-like states of N uncoupled spins 1/2
• Thermal entanglement of qubit pairs on the Shastry-Sutherland lattice
• Exact Results for the Bipartite Entanglement Entropy of the AKLT spin-1 chain
• Entanglement beyond tensor product structure: algebraic aspects of quantum non - separability
• Necessity of Superposition of Macroscopically Distinct States for Quantum Computational Speedup
• Mixed state localizable entanglement for continuous variables
• Multi-distributed Entanglement in Finitely Correlated Chains
• Entanglement in the Bogoliubov vacuum
• Entanglement oscillations in open Heisenberg chains
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• Locality and nonlocality of classical restrictions of quantum spin systems with applications to quantum large deviations and entanglement
• Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models
• Single-ion anisotropy effects on the critical behaviors of quantum entanglement and correlation in the spin-1 Heisenberg chain
• Finite temperature detection of quantum critical points: a comparative study
• Multi-level, multi-party singlets as ground states and their role in entanglement distribution
• Cross talk compensation in multimode continuous-variable entanglement distribution
• Measurement-induced entanglement and complexity in random constant-depth 2D quantum circuits
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
• Percolation thresholds and connectivity in quantum networks
• Observable-projected ensembles
• Entanglement of spin chains with general boundaries and of dissipative systems
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Cumulative measure of correlation for multipartite quantum states
• Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
• Quantifying fermionic interactions from the violation of Wick's theorem
• Macroscopic Schrödinger Cat Resistant to Particle Loss and Local Decoherence
• How efficient is transport of quantum cargo through multiple highways?
• Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
• Quantum teleportation implies symmetry-protected topological order
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Block Spin Density Matrix of the Inhomogeneous AKLT Model
• Entanglement quantifiers and phase transitions
• Complete analysis of measurement-induced entanglement localization on a three-photon system
• Correlation transfer in large-spin chains
• Experimental demonstration of spontaneous symmetry breaking with emergent multi-qubit entanglement
• Matchgate circuits deeply thermalize
• Adiabatic freezing of long-range quantum correlations in spin chains
• Allowing leakage can increase quantum transmission
• Entanglement and area law with a fractal boundary in a topologically ordered phase
• A classification of spin 1/2 matrix product states with two dimensional auxiliary matrices
• Generating GHZ state in 2m-qubit spin network
• Macroscopic Quantum Phenomena from the Correlation, Coupling and Criticality Perspectives
• Geometric Entanglement in Valance-Bond-Solid state
• Ground State Instabilities and Entanglement in the Detuned Dicke Model
• Birefringent spin-photon interface generates polarization entanglement
• Temporal Bell inequalities in non-relativistic many-body physics
• Genuine $k$-partite correlations and entanglement in the ground state of the Dicke model for interacting qubits
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• The controlled indirect coupling between spatially-separated qubits in antiferromagnet-based NMR quantum registers
• Quantum phase transitions in the Kondo-necklace model: Perturbative continuous unitary transformation approach
• Solutions for correlations along the coexistence curve and at the critical point of a kagomé lattice gas with three-particle interactions
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Multipartite quantum correlations in a two-mode Dicke model
• Efficient entanglement length measurements for photonic cluster state sources
• Scattering solution of interacting Hamiltonian for electronic control of molecular spin qubits
• Digital Quantum Simulation of Spin Transport
• Identifying Entanglement Phases with Bipartite Projected Ensembles
• Classical restrictions of generic matrix product states are quasi-locally Gibbsian
• Tunable Magnetic Order in Chiral Coupled Spin Chains
• Measurement-Induced Entanglement in Conformal Field Theory
• Non-onsite symmetries and quantum teleportation in split-index matrix product states
• The Role of Localizable Concurrence in Quantum Teleportation Protocols
• Localizing multipartite entanglement with local and global measurements
• Entanglement of Assistance as a measure of multiparty entanglement
• Generation of frequency-bin-encoded dual-rail cluster states via time-frequency multiplexing of microwave photonic qubits
• Manipulation of tripartite-to-bipartite entanglement localization under quantum noises and its application to entanglement distribution
• Emergence of global receptive fields capturing multipartite quantum correlations
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Teleportation based detection of quantum critical points using small spin chains
• Recovery of resources through sequential noisy measurements
• Emergence of Monogamy under Static and Dynamic Scenarios
• On the Topological Origin of Entanglement in Ising Spin Glasses
• Coupled dimerized alternating-bond quantum spin chains in the distorted honeycomb-lattice magnet Cu${}_5$SbO${}_6$
• Tensor network states for the description of quantum many-body systems
• Efficient classical simulation of cluster state quantum circuits with alternative inputs
• Finite Gaussian assistance protocols and a conic metric for extremizing spacelike vacuum entanglement
• Entanglement entropy scaling laws from fluctuations of non-conserved quantities
• Entanglement Superactivation in Multiphoton Distillation Networks
• A new family of matrix product states with Dzyaloshinski-Moriya interactions
• Efficient tomography of microwave photonic cluster states
• Rydberg Atoms in a Ladder Geometry: Quench Dynamics and Floquet Engineering
• Tripartite-to-bipartite Entanglement Transformation by Stochastic Local Operations and Classical Communication and the Structure of Matrix Spaces